1 00:00:00,040 --> 00:00:02,460 The following content is provided under a Creative 2 00:00:02,460 --> 00:00:03,980 Commons license. 3 00:00:03,980 --> 00:00:06,910 Your support will help MIT OpenCourseWare continue to 4 00:00:06,910 --> 00:00:10,660 offer high quality educational resources for free. 5 00:00:10,660 --> 00:00:13,460 To make a donation, or view additional materials from 6 00:00:13,460 --> 00:00:17,390 hundreds of MIT courses, visit MIT OpenCourseWare at 7 00:00:17,390 --> 00:00:18,640 ocw.mit.edu. 8 00:00:22,220 --> 00:00:28,240 PROFESSOR: OK today, teaching with blackboards and slides. 9 00:00:28,240 --> 00:00:32,729 And also several questions from the last time. 10 00:00:32,729 --> 00:00:36,090 And, related to that, a handout, which I've put 11 00:00:36,090 --> 00:00:39,910 online, which is on how to make a lesson plan. 12 00:00:39,910 --> 00:00:43,600 So I'll do all that through the questions. 13 00:00:43,600 --> 00:00:48,710 So now just a quick bit about lesson planning, because a 14 00:00:48,710 --> 00:00:51,410 couple of you pointed out that you'd have liked to know more 15 00:00:51,410 --> 00:00:53,070 about lesson planning. 16 00:00:53,070 --> 00:00:57,470 And reminded me that when I taught the chemistry TA 17 00:00:57,470 --> 00:01:02,580 workshops, I actually gave everyone a handout on how to 18 00:01:02,580 --> 00:01:03,610 plan a lesson. 19 00:01:03,610 --> 00:01:07,020 So I've put that handout online, and I'll just show you 20 00:01:07,020 --> 00:01:08,270 what it looks like here. 21 00:01:24,900 --> 00:01:28,920 So this is basically the sheet I use for planning any kind of 22 00:01:28,920 --> 00:01:32,370 lecture recitation. 23 00:01:32,370 --> 00:01:39,240 At the top, you need some kind of course, and date. 24 00:01:39,240 --> 00:01:44,360 And then the objective. 25 00:01:44,360 --> 00:01:46,880 So that's quite important. 26 00:01:46,880 --> 00:01:48,010 You'll see the exact sheet. 27 00:01:48,010 --> 00:01:51,220 And there's a PDF file, you can just use it yourself. 28 00:01:51,220 --> 00:01:56,420 There's a course objective for that particular session. 29 00:01:56,420 --> 00:01:58,850 And that relates to your overall goals for the course. 30 00:01:58,850 --> 00:02:02,270 So, for example, in this problem, my objective might be 31 00:02:02,270 --> 00:02:07,420 something like, to show that easy cases-- 32 00:02:07,420 --> 00:02:09,060 in fact, this was my objective-- 33 00:02:09,060 --> 00:02:11,130 I wanted to show that easy cases-- 34 00:02:11,130 --> 00:02:14,060 extreme cases-- are useful not just for checking formulas, 35 00:02:14,060 --> 00:02:15,385 but also for generating formulas. 36 00:02:26,490 --> 00:02:28,760 OK, so I write that on the top. 37 00:02:28,760 --> 00:02:30,930 So I remind myself, why am I here? 38 00:02:30,930 --> 00:02:32,180 What am I doing? 39 00:02:34,390 --> 00:02:37,930 Then there's a three-column table. 40 00:02:37,930 --> 00:02:40,660 Basically you just plan items in your lecture. 41 00:02:43,580 --> 00:02:45,440 The first column is minutes-- 42 00:02:45,440 --> 00:02:47,660 how long you expect each thing to take. 43 00:02:47,660 --> 00:02:57,000 And then the middle column, most of the space is, what's 44 00:02:57,000 --> 00:03:00,740 your goal in this local part of the lecture? 45 00:03:00,740 --> 00:03:02,390 And what are you going to do for that? 46 00:03:02,390 --> 00:03:04,910 So here's my overall objective. 47 00:03:04,910 --> 00:03:08,130 And my local goal may be, just this example-- 48 00:03:08,130 --> 00:03:11,180 getting that one third. 49 00:03:11,180 --> 00:03:16,770 And then here in the third column is props. 50 00:03:16,770 --> 00:03:20,610 So there's actually a piece here, too. 51 00:03:20,610 --> 00:03:23,040 So props are anything that I need to bring. 52 00:03:23,040 --> 00:03:24,590 So I just stick that in the margin. 53 00:03:24,590 --> 00:03:27,350 OK, bring the cones, or the pyramids, 54 00:03:27,350 --> 00:03:28,630 whatever they may be. 55 00:03:28,630 --> 00:03:32,150 And so then, when you're filling this piece in, about 56 00:03:32,150 --> 00:03:36,570 what to bring, you just scan down this last column, and 57 00:03:36,570 --> 00:03:38,630 just write everything here. 58 00:03:38,630 --> 00:03:40,330 OK, cones. 59 00:03:40,330 --> 00:03:44,080 Homework three, solution set two-- whatever it may be. 60 00:03:44,080 --> 00:03:49,310 So now, at a glance, before you go to your session, you 61 00:03:49,310 --> 00:03:51,020 review these two things. 62 00:03:51,020 --> 00:03:53,500 Make sure you have everything, your know why you're here. 63 00:03:53,500 --> 00:03:56,270 But then here, you're going to follow your script. 64 00:03:56,270 --> 00:03:57,590 Which is a loose script. 65 00:03:57,590 --> 00:03:59,830 It's not exactly a word-for-word script. 66 00:03:59,830 --> 00:04:02,400 It's, maybe, a few equations. 67 00:04:02,400 --> 00:04:03,650 Suppose there's a question. 68 00:04:06,860 --> 00:04:10,250 What is this constant? 69 00:04:10,250 --> 00:04:12,900 OK, so that's my overall, what I'm going to do 70 00:04:12,900 --> 00:04:15,600 for, say, ten minutes. 71 00:04:15,600 --> 00:04:19,079 And then I break it into sub-questions. 72 00:04:19,079 --> 00:04:20,329 OK. 73 00:04:23,540 --> 00:04:25,000 What is H and B? 74 00:04:25,000 --> 00:04:26,620 How many pyramids do I need? 75 00:04:26,620 --> 00:04:27,740 What's my goal shape? 76 00:04:27,740 --> 00:04:29,510 So these are questions that I ask students. 77 00:04:29,510 --> 00:04:32,330 And for each one, I write down the minutes. 78 00:04:32,330 --> 00:04:36,170 Maybe in parentheses, put the total up here. 79 00:04:36,170 --> 00:04:39,630 So now, when I've done my two or three pages-- and by the 80 00:04:39,630 --> 00:04:43,900 way I find, just at the level of detail I use, if I ever go 81 00:04:43,900 --> 00:04:47,810 beyond three pages, I never get to that material. 82 00:04:47,810 --> 00:04:50,950 So it's just sort of for a security blanket by the time 83 00:04:50,950 --> 00:04:53,010 I'm beyond three pages. 84 00:04:53,010 --> 00:04:55,330 It depends how detailed you write these things, but I've 85 00:04:55,330 --> 00:04:58,140 generally found that's where I am. 86 00:04:58,140 --> 00:05:00,155 And then, you estimate the time. 87 00:05:00,155 --> 00:05:02,120 And what you'll find is, the first time you do stuff, 88 00:05:02,120 --> 00:05:04,300 you'll massively underestimate the time. 89 00:05:04,300 --> 00:05:06,960 You'll be off by a factor of two. 90 00:05:06,960 --> 00:05:10,070 So, in other words, if you think it takes five minutes, 91 00:05:10,070 --> 00:05:11,800 it'll really take ten minutes. 92 00:05:11,800 --> 00:05:14,810 And that's true even after you take account of this rule. 93 00:05:14,810 --> 00:05:17,620 Sort of. 94 00:05:17,620 --> 00:05:20,970 OK, so then you put down all your minutes on this page, and 95 00:05:20,970 --> 00:05:21,470 the next page. 96 00:05:21,470 --> 00:05:24,720 You add them up, and you make sure that you're not over 50, 97 00:05:24,720 --> 00:05:25,980 or whatever the amount is. 98 00:05:25,980 --> 00:05:30,200 And then what you'll find is what you thought was 50 really 99 00:05:30,200 --> 00:05:32,150 is going to take you 130. 100 00:05:32,150 --> 00:05:34,980 So the next time, when you evaluate minutes, you'll have 101 00:05:34,980 --> 00:05:35,680 a better idea. 102 00:05:35,680 --> 00:05:38,220 And you'll find yourself actually tuning your time 103 00:05:38,220 --> 00:05:40,490 sense pretty well. 104 00:05:40,490 --> 00:05:44,580 So now I've got my time sense that I don't really need to 105 00:05:44,580 --> 00:05:47,580 put the minutes down, because I can just do it 106 00:05:47,580 --> 00:05:49,380 by number of pages. 107 00:05:49,380 --> 00:05:50,810 Three pages, too much. 108 00:05:50,810 --> 00:05:54,960 And so you'll find your own writing level, and detail 109 00:05:54,960 --> 00:05:56,870 level, how many pages to use. 110 00:05:56,870 --> 00:05:59,560 Now the other point is, where do these questions come from? 111 00:05:59,560 --> 00:06:03,760 OK, well this is a way you can turn any regular lecture into 112 00:06:03,760 --> 00:06:04,900 an interactive one. 113 00:06:04,900 --> 00:06:06,560 So suppose you have a long derivation that 114 00:06:06,560 --> 00:06:07,140 you're going to do. 115 00:06:07,140 --> 00:06:11,570 Or, for example, suppose the first way I planned this, was 116 00:06:11,570 --> 00:06:14,170 I wanted to show people that this was 1/3 over here, this 117 00:06:14,170 --> 00:06:15,680 is three here. 118 00:06:15,680 --> 00:06:17,950 And the way I was going to do it, was I was going to draw 119 00:06:17,950 --> 00:06:21,900 six pyramids, show them in a cube, and show that 6V, and do 120 00:06:21,900 --> 00:06:22,970 all this showing. 121 00:06:22,970 --> 00:06:27,570 Well, first draft, write it all out like that, with times 122 00:06:27,570 --> 00:06:29,570 and everything, without questions. 123 00:06:29,570 --> 00:06:33,230 Then, any time you come to something interesting-- 124 00:06:33,230 --> 00:06:34,480 so here. 125 00:06:40,920 --> 00:06:43,075 So before you have [? tel. ?] 126 00:06:48,500 --> 00:06:52,430 So now you look at your sheet, and you say, hmm, where did 127 00:06:52,430 --> 00:06:53,930 something interesting happen? 128 00:06:53,930 --> 00:06:56,940 Hopefully, there is at least one point. 129 00:06:56,940 --> 00:06:58,950 Because if there isn't, maybe you shouldn't be giving the 130 00:06:58,950 --> 00:07:00,400 lecture at all. 131 00:07:00,400 --> 00:07:03,280 So now, let's just say, by construction, you found some 132 00:07:03,280 --> 00:07:04,030 interesting things. 133 00:07:04,030 --> 00:07:05,700 OK, so that's interesting. 134 00:07:05,700 --> 00:07:07,800 Oh, it's interesting that it makes a cube-- 135 00:07:07,800 --> 00:07:09,800 it's not obvious. 136 00:07:09,800 --> 00:07:13,300 So just think, where does something require thought, and 137 00:07:13,300 --> 00:07:16,220 that you're short-circuiting the thought by telling. 138 00:07:16,220 --> 00:07:20,980 So then, what I do is I have a green pen, and I turn it into 139 00:07:20,980 --> 00:07:22,310 a question. 140 00:07:22,310 --> 00:07:27,710 So I'll circle it in green, and write, "ask" next to it. 141 00:07:27,710 --> 00:07:29,800 OK, or you can just rewrite your sheet. 142 00:07:38,170 --> 00:07:42,470 Telling something, then asking, and then continuing. 143 00:07:42,470 --> 00:07:45,190 OK so that's how you can turn any regular lecture into an 144 00:07:45,190 --> 00:07:46,170 interactive one. 145 00:07:46,170 --> 00:07:49,470 And that's your sheet that you walk into class with. 146 00:07:49,470 --> 00:07:51,860 And what you'll find, is that the first time you do it that 147 00:07:51,860 --> 00:07:54,900 way, there will be a bunch more spots you realize were 148 00:07:54,900 --> 00:07:55,680 actually subtle. 149 00:07:55,680 --> 00:07:59,250 Because, for example, at the end of class session, when you 150 00:07:59,250 --> 00:08:01,110 collect your feedback sheets, people will have questions 151 00:08:01,110 --> 00:08:01,830 about different parts. 152 00:08:01,830 --> 00:08:04,290 You'll realize, oh, there was actually something interesting 153 00:08:04,290 --> 00:08:06,000 that happened that wasn't obvious in one of these 154 00:08:06,000 --> 00:08:06,980 telling points. 155 00:08:06,980 --> 00:08:10,880 And you'll be able to turn that into a question, as well. 156 00:08:10,880 --> 00:08:15,360 The master sheet with all that formatted for you is online, 157 00:08:15,360 --> 00:08:16,710 on the course website. 158 00:08:16,710 --> 00:08:18,970 And you're welcome to use that in your own teaching, and 159 00:08:18,970 --> 00:08:22,280 distribute it to everyone you know Any questions about that? 160 00:08:25,490 --> 00:08:25,810 Yes. 161 00:08:25,810 --> 00:08:28,270 AUDIENCE: When you run over time, then you have to shift 162 00:08:28,270 --> 00:08:29,668 some of the things to the next lecture. 163 00:08:29,668 --> 00:08:32,520 So how do you do that? 164 00:08:32,520 --> 00:08:35,289 PROFESSOR: What happens when you run over time. 165 00:08:35,289 --> 00:08:37,669 The first time you teach the course, you basically find out 166 00:08:37,669 --> 00:08:39,714 there's just twice as much material in the course as 167 00:08:39,714 --> 00:08:40,669 there should be. 168 00:08:40,669 --> 00:08:42,940 And you'll always be running over time if you try to cover 169 00:08:42,940 --> 00:08:45,060 every single thing. 170 00:08:45,060 --> 00:08:48,080 So, the first time you run out of time-- 171 00:08:48,080 --> 00:08:49,160 there's two approaches to it. 172 00:08:49,160 --> 00:08:55,290 One is just to slow the entire pace down, and cover half of 173 00:08:55,290 --> 00:08:56,280 the amount of material. 174 00:08:56,280 --> 00:08:58,400 So that's quite a reasonable approach. 175 00:08:58,400 --> 00:09:01,170 The other is to sort of keep rhythm, but not cover every 176 00:09:01,170 --> 00:09:01,870 single thing. 177 00:09:01,870 --> 00:09:04,480 So my piano teacher, a while ago, she said, when you're 178 00:09:04,480 --> 00:09:07,310 sight-reading new piano music, the most important thing is, 179 00:09:07,310 --> 00:09:08,090 keep rhythm. 180 00:09:08,090 --> 00:09:11,310 So don't just stop, and then think for like ten seconds 181 00:09:11,310 --> 00:09:13,050 about one measure, and then continue in 182 00:09:13,050 --> 00:09:14,220 this herk and jerk. 183 00:09:14,220 --> 00:09:17,280 Just keep playing at speed, but skip some of the notes, 184 00:09:17,280 --> 00:09:18,910 and do whatever you have to do to keep rhythm. 185 00:09:18,910 --> 00:09:21,880 So you can try that approach too. 186 00:09:21,880 --> 00:09:24,340 And then, what you do is you say, OK look I'm not going to 187 00:09:24,340 --> 00:09:25,850 cover every single thing in lecture. 188 00:09:25,850 --> 00:09:28,070 A lot of stuff is in the book. 189 00:09:28,070 --> 00:09:29,680 And that's good to do anyway. 190 00:09:29,680 --> 00:09:32,910 So a mix of the two approaches is one way to deal with 191 00:09:32,910 --> 00:09:34,120 running over time. 192 00:09:34,120 --> 00:09:34,610 AUDIENCE: [INAUDIBLE] 193 00:09:34,610 --> 00:09:37,250 So each lecture you have some objective. 194 00:09:37,250 --> 00:09:40,410 And then, if you run over time, then in the first 195 00:09:40,410 --> 00:09:41,850 lecture, you only finish half of it. 196 00:09:41,850 --> 00:09:44,812 And then, the second one seems to start from the middle of 197 00:09:44,812 --> 00:09:46,780 [INAUDIBLE]. 198 00:09:46,780 --> 00:09:48,740 PROFESSOR: Right. 199 00:09:48,740 --> 00:09:48,970 OK. 200 00:09:48,970 --> 00:09:50,590 So that's one reason it's worth writing 201 00:09:50,590 --> 00:09:52,160 the objective first. 202 00:09:52,160 --> 00:09:53,750 Because then you know what the main goal is. 203 00:09:53,750 --> 00:09:56,330 So one way to do it, which I do like, is 204 00:09:56,330 --> 00:09:58,110 to make sure that-- 205 00:09:58,110 --> 00:10:00,710 right away-- the objective is reached. 206 00:10:00,710 --> 00:10:03,040 So you do it as sort of a layer cake. 207 00:10:03,040 --> 00:10:04,510 So the first example-- 208 00:10:04,510 --> 00:10:06,640 maybe the first two examples-- 209 00:10:06,640 --> 00:10:09,750 just from those, if everybody just doesn't do anything else 210 00:10:09,750 --> 00:10:11,920 but the first two examples, which you expect will only 211 00:10:11,920 --> 00:10:13,030 take 15 minutes-- 212 00:10:13,030 --> 00:10:15,320 but it takes 40 minutes, it's okay. 213 00:10:15,320 --> 00:10:18,620 Because the first two examples reach your objective. 214 00:10:18,620 --> 00:10:21,130 Now they don't reach the objective 100%, but they give 215 00:10:21,130 --> 00:10:22,810 you 80% of the objective. 216 00:10:22,810 --> 00:10:26,430 So you want to plan your lecture structure like a layer 217 00:10:26,430 --> 00:10:30,670 cake, or like JPEG. 218 00:10:30,670 --> 00:10:32,790 People know how JPEG compression works? 219 00:10:32,790 --> 00:10:38,390 So JPEG, the way you do it, is the low-frequency, quote, 220 00:10:38,390 --> 00:10:41,090 "most important" terms, come first. 221 00:10:41,090 --> 00:10:44,470 And then the higher-frequency, say, less important terms, 222 00:10:44,470 --> 00:10:45,060 come later. 223 00:10:45,060 --> 00:10:47,810 So sometimes you see things rendered in your browser 224 00:10:47,810 --> 00:10:50,660 step-by-step, and they just sort of take focus. 225 00:10:50,660 --> 00:10:53,960 And it gets better and better as you wait longer and longer. 226 00:10:53,960 --> 00:10:56,050 So you want to plan your lecture a bit that way. 227 00:10:56,050 --> 00:10:58,970 So that it's robust to time shortage. 228 00:10:58,970 --> 00:11:01,850 So that if, for example, there's a fire alarm halfway 229 00:11:01,850 --> 00:11:04,480 through your lecture, still the main point got across. 230 00:11:04,480 --> 00:11:06,740 Now it didn't get across in all the detail, and the 231 00:11:06,740 --> 00:11:09,840 beautiful glory of that you wanted, but the main point 232 00:11:09,840 --> 00:11:11,480 still got across. 233 00:11:11,480 --> 00:11:14,000 So then, if you run out of time, it's OK. 234 00:11:14,000 --> 00:11:16,330 You say, look, there's two more examples of this which we 235 00:11:16,330 --> 00:11:19,190 didn't do, but they further illustrate the main point. 236 00:11:19,190 --> 00:11:21,420 See the notes. 237 00:11:21,420 --> 00:11:23,990 And then you can keep to your plan. 238 00:11:23,990 --> 00:11:25,740 Assuming that your plan is a reasonable one. 239 00:11:25,740 --> 00:11:28,480 If your plan is that, I'm going to do f equals ma today, 240 00:11:28,480 --> 00:11:33,130 and I'm going to do rigid body rotation tomorrow, that's 241 00:11:33,130 --> 00:11:34,610 probably not a reasonable plan. 242 00:11:34,610 --> 00:11:36,695 And the fact that you ran out of time on day one is probably 243 00:11:36,695 --> 00:11:39,690 a good sign that you should actually spend a little more 244 00:11:39,690 --> 00:11:41,840 time on f equals ma. 245 00:11:41,840 --> 00:11:43,880 Does that answer your question? 246 00:11:43,880 --> 00:11:45,980 Other questions? 247 00:11:45,980 --> 00:11:47,308 Yes. 248 00:11:47,308 --> 00:11:48,980 AUDIENCE: I have a question about [INAUDIBLE]? 249 00:11:48,980 --> 00:11:51,894 A lot of people have told me over the years that it's good 250 00:11:51,894 --> 00:11:52,876 to write really big. 251 00:11:52,876 --> 00:11:54,490 And I know you're constrained by that the people have to be 252 00:11:54,490 --> 00:11:55,335 able to see. 253 00:11:55,335 --> 00:11:58,020 But, given that you're writing large enough for them to see, 254 00:11:58,020 --> 00:12:00,569 what's the advantage of writing any bigger than that? 255 00:12:00,569 --> 00:12:02,421 As opposed to having the [INAUDIBLE]? 256 00:12:05,730 --> 00:12:07,290 PROFESSOR: OK, so that's a good question. 257 00:12:07,290 --> 00:12:09,860 Actually, why don't we save that. 258 00:12:09,860 --> 00:12:11,830 We'll talk about that today. 259 00:12:11,830 --> 00:12:15,180 So the question was, how big should you write? 260 00:12:15,180 --> 00:12:18,260 Just enough so people can see, or bigger? 261 00:12:18,260 --> 00:12:21,790 So that you can keep the full story there. 262 00:12:21,790 --> 00:12:26,310 OK, so, any other questions on the lecture planning? 263 00:12:26,310 --> 00:12:28,740 And blackboard, and slides, we'll come to 264 00:12:28,740 --> 00:12:29,990 starting right now. 265 00:12:36,780 --> 00:12:39,870 Teaching with slides and blackboards. 266 00:12:39,870 --> 00:12:43,170 What are the advantages, and disadvantages of each. 267 00:12:43,170 --> 00:12:47,440 I'll tell you my bottom line, which is that my zero-th order 268 00:12:47,440 --> 00:12:49,330 term, so this is my objective-- 269 00:12:49,330 --> 00:12:52,880 if the lecture ends after the next two minutes, at least 270 00:12:52,880 --> 00:12:54,580 you'll have the zero-th order term. 271 00:12:54,580 --> 00:12:58,550 The zero-th order term is that, if you can't help 272 00:12:58,550 --> 00:13:02,880 yourself, use slides, but otherwise, use blackboard. 273 00:13:02,880 --> 00:13:08,260 For 90% of things, blackboard is much better for teaching 274 00:13:08,260 --> 00:13:10,120 than slides. 275 00:13:10,120 --> 00:13:12,820 There are some cases where slides are useful, and you can 276 00:13:12,820 --> 00:13:13,890 make an argument for it. 277 00:13:13,890 --> 00:13:16,920 There's some cases where maybe the slide is as good as a 278 00:13:16,920 --> 00:13:19,700 blackboard, few cases where it's better than a blackboard. 279 00:13:19,700 --> 00:13:22,220 But the default is, blackboards 280 00:13:22,220 --> 00:13:24,790 are better than slides. 281 00:13:24,790 --> 00:13:28,255 Now let me show you an example of why that's true. 282 00:13:33,070 --> 00:13:35,170 Suppose you're teaching the-- 283 00:13:35,170 --> 00:13:37,760 an example I've done with you before, slightly, is the 284 00:13:37,760 --> 00:13:39,010 Navier-Stokes equation. 285 00:13:58,200 --> 00:13:59,952 Let me write it down, to start with. 286 00:14:03,656 --> 00:14:05,912 Actually, I'll put it on a separate blackboard. 287 00:14:09,690 --> 00:14:11,380 So there's our topic. 288 00:14:11,380 --> 00:14:13,610 So we always know what our topic is, because it's up 289 00:14:13,610 --> 00:14:15,990 there, and it's just going to live there for a bit. 290 00:14:15,990 --> 00:14:17,740 And in fact, in some classrooms-- 291 00:14:17,740 --> 00:14:21,220 you can't do it so easily here, but my favorite 292 00:14:21,220 --> 00:14:25,240 classroom is 4-265 because it has pretty much this much 293 00:14:25,240 --> 00:14:27,810 blackboards in the front, and it has blackboards all around 294 00:14:27,810 --> 00:14:29,060 the side, and on the back. 295 00:14:29,060 --> 00:14:31,450 So I don't use the back ones so much, but the side ones are 296 00:14:31,450 --> 00:14:32,750 really, really useful. 297 00:14:32,750 --> 00:14:35,570 Because you can, for example, put the topic, like I've done 298 00:14:35,570 --> 00:14:39,080 here, on the side blackboard, and just let it stay there the 299 00:14:39,080 --> 00:14:40,180 entire time. 300 00:14:40,180 --> 00:14:41,980 You can put an outline of the lecture. 301 00:14:41,980 --> 00:14:43,600 OK, so let's say we have a lecture on 302 00:14:43,600 --> 00:14:44,750 Navier-Stokes equation. 303 00:14:44,750 --> 00:14:46,330 We want to look at them, try to understand them. 304 00:15:10,010 --> 00:15:12,813 So here are the equation. 305 00:15:12,813 --> 00:15:16,580 Well "are," "is," the plural is a bit ambiguous. 306 00:15:16,580 --> 00:15:19,980 This is actually three equations, one because it's a 307 00:15:19,980 --> 00:15:21,980 vector, vector, vector. 308 00:15:26,690 --> 00:15:30,920 Already there, you see something that's harder to do 309 00:15:30,920 --> 00:15:31,990 with slides. 310 00:15:31,990 --> 00:15:33,880 You'd have to work harder to do that in slides. 311 00:15:36,890 --> 00:15:42,450 You can just go back, and annotate as you go. 312 00:15:42,450 --> 00:15:46,100 And here, you can see the entire topic while you're 313 00:15:46,100 --> 00:15:46,820 looking at this. 314 00:15:46,820 --> 00:15:50,430 So, for example, the student has now got overwhelmed by all 315 00:15:50,430 --> 00:15:52,456 the little symbols here-- 316 00:15:52,456 --> 00:15:57,030 the del squared, the partial derivative, the v dot grad-- 317 00:15:57,030 --> 00:15:59,820 that part always scared me when I was a physics student. 318 00:15:59,820 --> 00:16:04,840 I knew what del dot v is, but what's v dot del? 319 00:16:04,840 --> 00:16:06,940 So you get scared by all that. 320 00:16:06,940 --> 00:16:09,050 And then people forget, they panic. 321 00:16:09,050 --> 00:16:11,200 Because their short-term term memory got filled with every 322 00:16:11,200 --> 00:16:12,520 single, little, chunk here. 323 00:16:12,520 --> 00:16:15,080 Their chunks are, remember, very small. 324 00:16:15,080 --> 00:16:17,720 And they forgot, what are they doing? 325 00:16:17,720 --> 00:16:20,000 Navier-Stokes equation fluid mechanics. 326 00:16:20,000 --> 00:16:20,690 OK. 327 00:16:20,690 --> 00:16:28,180 And now, you can even improve that first blackboard by 328 00:16:28,180 --> 00:16:32,660 talking about, what does this apply to? 329 00:16:32,660 --> 00:16:43,845 Drag, turbulence, river flow, airplanes. 330 00:16:47,930 --> 00:16:49,270 So here, you can have a 331 00:16:49,270 --> 00:16:51,070 reminder of why it's important. 332 00:16:51,070 --> 00:16:53,790 So now that just stays up there the whole time. 333 00:16:53,790 --> 00:16:56,370 And people can re-center themselves every time they get 334 00:16:56,370 --> 00:16:58,670 confused of what they're doing, just by that. 335 00:16:58,670 --> 00:17:00,640 And then, you can continue. 336 00:17:00,640 --> 00:17:04,220 You can say, OK, let me try to explain the 337 00:17:04,220 --> 00:17:05,280 meaning of these terms. 338 00:17:05,280 --> 00:17:08,000 So let's do the terms one at a time. 339 00:17:08,000 --> 00:17:09,250 What's this? 340 00:17:16,630 --> 00:17:20,680 So this term here is Dvdt. 341 00:17:20,680 --> 00:17:22,530 We've seen things like that-- that's sort of like an 342 00:17:22,530 --> 00:17:23,780 acceleration. 343 00:17:31,370 --> 00:17:34,510 You can annotate the equation right there. 344 00:17:34,510 --> 00:17:38,360 That's also hard to do on a slide. 345 00:17:38,360 --> 00:17:40,930 I mean, you can do it, you can work at it, but it's very 346 00:17:40,930 --> 00:17:42,730 natural on a chalkboard. 347 00:17:42,730 --> 00:17:45,450 Now, there's some things that are common to chalkboards and 348 00:17:45,450 --> 00:17:49,230 slides, which is the use of color. 349 00:17:49,230 --> 00:17:51,870 So now this, unfortunately, is blue, which is 350 00:17:51,870 --> 00:17:53,466 not the ideal color. 351 00:17:53,466 --> 00:17:55,860 Unfortunately, I don't have my-- 352 00:17:55,860 --> 00:17:58,950 orange is generally better, but anyway I have blue. 353 00:17:58,950 --> 00:18:01,900 Can you see the blue? 354 00:18:01,900 --> 00:18:04,530 So marginally? 355 00:18:04,530 --> 00:18:07,030 Maybe this orange, even though it's not as big, will be 356 00:18:07,030 --> 00:18:08,000 better than the blue. 357 00:18:08,000 --> 00:18:10,600 OK, well this shows you an example of color, and the 358 00:18:10,600 --> 00:18:12,570 importance of choosing the right color. 359 00:18:12,570 --> 00:18:14,200 There used to be a green one here, but 360 00:18:14,200 --> 00:18:16,770 they're isn't green anymore. 361 00:18:16,770 --> 00:18:19,440 Blue is not ideal, I won't use the blue. 362 00:18:19,440 --> 00:18:21,610 Let's try this. 363 00:18:21,610 --> 00:18:23,450 Is that better? 364 00:18:23,450 --> 00:18:24,200 OK. 365 00:18:24,200 --> 00:18:27,620 So let me use this orange one, and I'll try to write large, 366 00:18:27,620 --> 00:18:29,230 even though it's not as bold. 367 00:18:29,230 --> 00:18:31,260 OK, so the use of color. 368 00:18:31,260 --> 00:18:34,710 That's important in both slides and blackboard. 369 00:18:34,710 --> 00:18:35,960 What's the use of color here? 370 00:18:35,960 --> 00:18:38,930 Is it just because it's nice to have a pretty picture? 371 00:18:38,930 --> 00:18:39,570 No. 372 00:18:39,570 --> 00:18:43,000 The reason for using the color is that you get layering. 373 00:18:43,000 --> 00:18:48,030 So again, remember the students' dilemma. 374 00:18:48,030 --> 00:18:50,220 Pretty much all students' dilemma come from the 375 00:18:50,220 --> 00:18:52,730 following problem, which is that their 376 00:18:52,730 --> 00:18:56,250 chunk size is one symbol. 377 00:18:56,250 --> 00:18:58,180 You've been teaching the Navier-Stokes equation for 20 378 00:18:58,180 --> 00:19:01,380 years, your chunk size is the entire equation. 379 00:19:01,380 --> 00:19:01,620 Right? 380 00:19:01,620 --> 00:19:03,170 So that's one chunk to you, you just write it 381 00:19:03,170 --> 00:19:04,520 down, like I just did. 382 00:19:04,520 --> 00:19:06,300 But for the student, every single, little 383 00:19:06,300 --> 00:19:07,630 thing is one symbol. 384 00:19:07,630 --> 00:19:11,340 So now, if you then write all of this stuff in the same 385 00:19:11,340 --> 00:19:14,100 color, as your rest of your equation, it just 386 00:19:14,100 --> 00:19:14,980 becomes more stuff. 387 00:19:14,980 --> 00:19:16,220 They don't know how to separate it into 388 00:19:16,220 --> 00:19:17,670 two different objects. 389 00:19:17,670 --> 00:19:21,820 But, if you write your labels in a different color, it pops 390 00:19:21,820 --> 00:19:22,840 out in a different layer. 391 00:19:22,840 --> 00:19:24,720 They know that lives in a different space, so you're 392 00:19:24,720 --> 00:19:27,680 already helping them chunk. 393 00:19:27,680 --> 00:19:28,930 So what is this? 394 00:19:31,190 --> 00:19:34,290 This is also a change in v. So it's sort of like an 395 00:19:34,290 --> 00:19:35,200 acceleration. 396 00:19:35,200 --> 00:19:36,830 Well, it's part of the acceleration, actually. 397 00:19:41,410 --> 00:19:42,970 So this is another acceleration. 398 00:19:42,970 --> 00:19:45,780 It's a change in v, but it's a change in v because you've 399 00:19:45,780 --> 00:19:47,880 moved to a new place. 400 00:19:47,880 --> 00:19:50,560 So this is a change in v because you waited-- 401 00:19:50,560 --> 00:19:51,960 you move to a new time. 402 00:19:51,960 --> 00:19:54,930 This is a change in v because a little piece of fluid moved 403 00:19:54,930 --> 00:19:57,250 to new place, where the fluid velocity is different. 404 00:19:57,250 --> 00:19:59,320 So these two things together are two different 405 00:19:59,320 --> 00:20:02,710 contributions to the change in v. So we'll actually call this 406 00:20:02,710 --> 00:20:14,370 whole thing D of vdt, which is actually its actual name. 407 00:20:14,370 --> 00:20:16,560 So this is an acceleration. 408 00:20:16,560 --> 00:20:20,370 These are the two pieces of it-- this is the acceleration. 409 00:20:20,370 --> 00:20:23,030 What's on the other side? 410 00:20:23,030 --> 00:20:26,070 Well, this guy, pressure-- 411 00:20:26,070 --> 00:20:27,420 p is pressure-- 412 00:20:27,420 --> 00:20:28,360 grading of pressure. 413 00:20:28,360 --> 00:20:29,910 So that's the differences in pressure. 414 00:20:29,910 --> 00:20:33,150 So that's going to do some kind of thing, like a force. 415 00:20:33,150 --> 00:20:34,580 And row is density. 416 00:20:34,580 --> 00:20:36,430 So you're taking a force-- 417 00:20:36,430 --> 00:20:42,820 I'll put it in quotes, because it's not quite a force, it's 418 00:20:42,820 --> 00:20:44,180 sort of force per area. 419 00:20:44,180 --> 00:20:53,510 But now you divide by density, and you get f over m. 420 00:20:53,510 --> 00:20:55,150 So f over m. 421 00:20:55,150 --> 00:21:00,860 So we have, here this guy-- 422 00:21:00,860 --> 00:21:06,360 acceleration is equal to f over m. 423 00:21:06,360 --> 00:21:09,360 Do you recognize that equation before? 424 00:21:09,360 --> 00:21:11,140 Yes, Newton's Second Law. 425 00:21:11,140 --> 00:21:16,680 So this whole thing, so far here, is just this is a 426 00:21:16,680 --> 00:21:17,710 equals f over m. 427 00:21:17,710 --> 00:21:21,440 So this is the pressure forces, and this must be the-- 428 00:21:30,550 --> 00:21:32,880 and this is the viscous forces divided by the mass. 429 00:21:32,880 --> 00:21:34,740 So these are the two contributors to the forces-- 430 00:21:34,740 --> 00:21:37,490 pressure forces, viscous forces-- 431 00:21:37,490 --> 00:21:39,290 and those produce the acceleration. 432 00:21:39,290 --> 00:21:43,110 So the Navier-Stokes equation comes out just as Newton's 433 00:21:43,110 --> 00:21:45,260 Second Law all over again. 434 00:21:45,260 --> 00:21:49,220 So now, this kind of drawing is quite difficult 435 00:21:49,220 --> 00:21:49,960 to do in the slide. 436 00:21:49,960 --> 00:21:50,270 Yes. 437 00:21:50,270 --> 00:21:51,990 AUDIENCE: So I actually would argue with you. 438 00:21:51,990 --> 00:21:54,110 You could prepare a set of slides with annotations, and 439 00:21:54,110 --> 00:21:55,360 then you could do everything. 440 00:21:55,360 --> 00:21:57,692 You could put all the information [INAUDIBLE] in a 441 00:21:57,692 --> 00:21:59,360 slide, or in multiple slides. 442 00:21:59,360 --> 00:22:00,860 [INAUDIBLE] animation. 443 00:22:00,860 --> 00:22:01,120 PROFESSOR: Yeah. 444 00:22:01,120 --> 00:22:03,520 So you could put them on multiple slides, and then flip 445 00:22:03,520 --> 00:22:06,170 to it, one by one That's true. 446 00:22:09,650 --> 00:22:11,980 So you can do it, which is why I said you can do 447 00:22:11,980 --> 00:22:13,320 it, but it's hard. 448 00:22:13,320 --> 00:22:15,600 Because it is a bit of a pain, and you can do it. 449 00:22:15,600 --> 00:22:20,720 OK but then the problem is, you want to now leave that on. 450 00:22:20,720 --> 00:22:24,990 So now you want to have not only this, but you also want 451 00:22:24,990 --> 00:22:27,830 to have this, and leave it on for the entire lecture. 452 00:22:27,830 --> 00:22:30,610 Because this is the meaning of the terms. 453 00:22:30,610 --> 00:22:32,400 And now you're going to leave it there, and talk about each 454 00:22:32,400 --> 00:22:33,800 term, one by one. 455 00:22:33,800 --> 00:22:34,130 Yes 456 00:22:34,130 --> 00:22:36,754 AUDIENCE: But you could also give them a handout, with all 457 00:22:36,754 --> 00:22:38,558 the slides there, so they would have 458 00:22:38,558 --> 00:22:39,542 everything in front of them. 459 00:22:39,542 --> 00:22:42,002 And if they ever want to go back, they can look back on 460 00:22:42,002 --> 00:22:44,462 the previous slide. 461 00:22:44,462 --> 00:22:47,890 [INAUDIBLE] but I think so far this is not a strong argument 462 00:22:47,890 --> 00:22:49,342 against the slides. 463 00:22:49,342 --> 00:22:51,762 Maybe the question's about interactivity. 464 00:22:51,762 --> 00:22:53,698 If somebody asks you a question, what 465 00:22:53,698 --> 00:22:55,150 about the third term? 466 00:22:55,150 --> 00:22:57,710 If you don't have a slide for that, then-- 467 00:22:57,710 --> 00:22:57,980 PROFESSOR: Right. 468 00:22:57,980 --> 00:23:02,340 And this is the point I'm coming to. 469 00:23:02,340 --> 00:23:03,100 So there's that. 470 00:23:03,100 --> 00:23:05,480 And I agree with you, you can do this with slides, you can 471 00:23:05,480 --> 00:23:07,190 give people a handout. 472 00:23:07,190 --> 00:23:14,020 Though the problem with the handout-- 473 00:23:14,020 --> 00:23:17,730 suppose you put all of this on the handout for them, so that 474 00:23:17,730 --> 00:23:21,160 now, when you erase this screen, and that screen, you 475 00:23:21,160 --> 00:23:22,910 go to another thing they still have something to 476 00:23:22,910 --> 00:23:24,040 refer back to you. 477 00:23:24,040 --> 00:23:28,710 The problem is that you want it all in one visual field. 478 00:23:28,710 --> 00:23:31,280 And you don't have that when it's on a handout. 479 00:23:31,280 --> 00:23:34,770 So you have a problem of split attention. 480 00:23:34,770 --> 00:23:38,150 So now the student's attention is switching between the 481 00:23:38,150 --> 00:23:40,270 screen, and the handout-- 482 00:23:40,270 --> 00:23:41,300 screen and handout. 483 00:23:41,300 --> 00:23:45,450 And when they look at the screen, they're trying to 484 00:23:45,450 --> 00:23:47,110 remember what they're confused about. 485 00:23:47,110 --> 00:23:50,280 And now they look at the handout. 486 00:23:50,280 --> 00:23:52,460 This is the analogy. 487 00:23:52,460 --> 00:23:57,650 When I was in Prague, I would look at a street sign, and I 488 00:23:57,650 --> 00:24:00,230 would read the word, and look at all the letters. 489 00:24:00,230 --> 00:24:00,860 [INAUDIBLE] 490 00:24:00,860 --> 00:24:01,940 or something like that. 491 00:24:01,940 --> 00:24:04,610 And I would look away. 492 00:24:04,610 --> 00:24:08,420 Two seconds later, I could not remember more than one letter 493 00:24:08,420 --> 00:24:10,430 that I saw on the street sign-- 494 00:24:10,430 --> 00:24:11,170 on the street name. 495 00:24:11,170 --> 00:24:15,460 The reason is, because each of the letters was random to me. 496 00:24:15,460 --> 00:24:18,430 So, yes, someone who's Czech, just says, oh yeah, that's 497 00:24:18,430 --> 00:24:19,840 Main Street, of course. 498 00:24:19,840 --> 00:24:20,520 No big deal. 499 00:24:20,520 --> 00:24:21,225 What's there to remember? 500 00:24:21,225 --> 00:24:23,660 It's Main Street, it's in the Main Square. 501 00:24:23,660 --> 00:24:26,810 Whereas me, as the foreigner, has no clue. 502 00:24:26,810 --> 00:24:28,310 And it's all new data to me. 503 00:24:28,310 --> 00:24:30,140 So it's the same way for the students. 504 00:24:30,140 --> 00:24:31,760 This is all new to them. 505 00:24:31,760 --> 00:24:33,430 So when they're looking at something else, 506 00:24:33,430 --> 00:24:34,900 you're talking about-- 507 00:24:34,900 --> 00:24:36,550 you're going to discuss, what's the 508 00:24:36,550 --> 00:24:37,800 dimensions of this term? 509 00:24:48,740 --> 00:24:51,410 They look at this thing, and now you have a big analysis of 510 00:24:51,410 --> 00:24:53,140 the dimensions of this, you want to check that all the 511 00:24:53,140 --> 00:24:55,610 dimensions are right, and your goal is eventually to work out 512 00:24:55,610 --> 00:24:57,020 the dimensions of this-- 513 00:24:57,020 --> 00:25:00,300 viscosity, let's say. 514 00:25:00,300 --> 00:25:02,790 They might be frightened of the partial. 515 00:25:02,790 --> 00:25:05,750 So they look at this, and they say, oh, yeah, where does the 516 00:25:05,750 --> 00:25:07,160 Dvdt come from? 517 00:25:07,160 --> 00:25:09,100 And then they look back at their handout, and they've 518 00:25:09,100 --> 00:25:12,190 already forgotten pretty much what this was. 519 00:25:12,190 --> 00:25:14,170 Because they are the foreigner. 520 00:25:14,170 --> 00:25:17,580 They are the tourist in this land. 521 00:25:17,580 --> 00:25:18,372 AUDIENCE: Yes. 522 00:25:18,372 --> 00:25:21,264 I was just going say that I would have said 523 00:25:21,264 --> 00:25:23,674 something very similar. 524 00:25:23,674 --> 00:25:26,566 The annotation part of it is to [INAUDIBLE] slides at all, 525 00:25:26,566 --> 00:25:28,814 because if I was making slides for this lecture, I would've 526 00:25:28,814 --> 00:25:29,833 done exactly what you did. 527 00:25:29,833 --> 00:25:33,850 But it would all be nicely spaced, and there would be no 528 00:25:33,850 --> 00:25:35,531 handwriting issues. 529 00:25:35,531 --> 00:25:37,170 So if anything, slides would be better for that. 530 00:25:37,170 --> 00:25:41,565 But I think that the argument for slides is [INAUDIBLE] 531 00:25:41,565 --> 00:25:44,340 having them linger on, but also pacing. 532 00:25:44,340 --> 00:25:46,544 Like, the fact that it doesn't flip up so quickly, because 533 00:25:46,544 --> 00:25:48,249 the [INAUDIBLE] that I've taken where they use slides 534 00:25:48,249 --> 00:25:50,684 and use [INAUDIBLE], it goes by so quickly that you have no 535 00:25:50,684 --> 00:25:53,119 chance to internalize. 536 00:25:53,119 --> 00:25:55,885 The fact that you have to write it out by hand forces 537 00:25:55,885 --> 00:25:57,970 you to slow down, in a way that is really 538 00:25:57,970 --> 00:25:59,100 helpful for the listener. 539 00:25:59,100 --> 00:26:00,010 And so that's something that's really important [INAUDIBLE] 540 00:26:00,010 --> 00:26:01,180 difference. 541 00:26:01,180 --> 00:26:01,410 PROFESSOR: Right. 542 00:26:01,410 --> 00:26:03,960 And that's a fundamentally important point about pacing. 543 00:26:03,960 --> 00:26:07,130 And this partly addresses your question about how 544 00:26:07,130 --> 00:26:08,200 big should you write. 545 00:26:08,200 --> 00:26:10,340 So one of the reasons for writing big, is that you're 546 00:26:10,340 --> 00:26:12,740 writing slower. 547 00:26:12,740 --> 00:26:15,640 And writing slower, generally forces your pace to match the 548 00:26:15,640 --> 00:26:20,610 pace that is absorbable by the students. 549 00:26:20,610 --> 00:26:25,040 So I'll come back to that point in just one second. 550 00:26:25,040 --> 00:26:29,710 So let me just finish the point about the visual field. 551 00:26:29,710 --> 00:26:33,620 The good thing about the blackboard is, you could call 552 00:26:33,620 --> 00:26:35,650 it cognitive offloading. 553 00:26:35,650 --> 00:26:38,610 In one glance, everything that the students 554 00:26:38,610 --> 00:26:40,690 need, can be there. 555 00:26:40,690 --> 00:26:43,090 So they don't really have to remember much. 556 00:26:43,090 --> 00:26:46,320 And the short-term memory isn't overfull. 557 00:26:46,320 --> 00:26:47,130 They're registers. 558 00:26:47,130 --> 00:26:49,160 They're a low-register machine. 559 00:26:49,160 --> 00:26:52,420 Or rather, they have the same number of registers as us, but 560 00:26:52,420 --> 00:26:53,250 they don't store as much 561 00:26:53,250 --> 00:26:55,530 information in their registers. 562 00:26:55,530 --> 00:26:58,540 So their registers don't get overfull, because everything's 563 00:26:58,540 --> 00:26:59,010 right there. 564 00:26:59,010 --> 00:27:01,930 Whereas there is a much bigger danger of register overfilling 565 00:27:01,930 --> 00:27:03,440 with slides. 566 00:27:03,440 --> 00:27:05,430 Then, as you point out, there's the issue of 567 00:27:05,430 --> 00:27:06,520 interactivity. 568 00:27:06,520 --> 00:27:11,410 So this is partly a performance question. 569 00:27:11,410 --> 00:27:19,160 Slides, not only are they much more pre-prepared-- 570 00:27:19,160 --> 00:27:21,500 I mean, you can prepare your blackboards, as well, but you 571 00:27:21,500 --> 00:27:23,400 actually do have to re-perform it each time. 572 00:27:23,400 --> 00:27:25,840 Whereas a slide, as you say, you just click to Return, or 573 00:27:25,840 --> 00:27:28,280 Next, and there you are, at the next slide. 574 00:27:28,280 --> 00:27:31,460 So there's much less performance in it. 575 00:27:31,460 --> 00:27:35,040 And it seems much more pre-scripted. 576 00:27:35,040 --> 00:27:38,020 Now, what does that signal to the students? 577 00:27:38,020 --> 00:27:39,140 The pre-scripting. 578 00:27:39,140 --> 00:27:42,360 It says to the students, look, this is all one, tight thing. 579 00:27:42,360 --> 00:27:47,390 It's sort of like a play on a stage, that you're only 580 00:27:47,390 --> 00:27:50,520 supposed to applaud at particular times. 581 00:27:50,520 --> 00:27:51,900 A modern-day play. 582 00:27:51,900 --> 00:27:54,640 Back in Elizabethan times, in Shakespeare's time, people 583 00:27:54,640 --> 00:27:56,980 cheered, and screamed, and cat-called, and it was a much 584 00:27:56,980 --> 00:27:58,940 more lively thing on the stage. 585 00:27:58,940 --> 00:28:03,500 But now, everyone sits really quiet, God help you if you 586 00:28:03,500 --> 00:28:06,820 cough, you try to wait, and you think about your coughing, 587 00:28:06,820 --> 00:28:08,500 and then you don't think about the play, and you try to 588 00:28:08,500 --> 00:28:09,480 prevent your coughing. 589 00:28:09,480 --> 00:28:12,650 So all that transfers a bit. 590 00:28:12,650 --> 00:28:16,830 That same mentality comes when you're using slides. 591 00:28:16,830 --> 00:28:19,520 People think, oh my God, this is a pre-scripted thing-- how 592 00:28:19,520 --> 00:28:23,230 dare I intervene, and break into that. 593 00:28:23,230 --> 00:28:25,690 So if your goal is to encourage students to 594 00:28:25,690 --> 00:28:27,950 question, it's harder to do that with slides. 595 00:28:27,950 --> 00:28:29,480 You still can do it. 596 00:28:29,480 --> 00:28:31,470 You can, for example, put questions on the slides-- and 597 00:28:31,470 --> 00:28:33,570 you definitely should do that you're going to use slides-- 598 00:28:33,570 --> 00:28:38,860 but the random, spontaneous character of your session-- 599 00:28:38,860 --> 00:28:40,390 the good side of that, is going to be 600 00:28:40,390 --> 00:28:41,640 minimized by the slides. 601 00:28:46,220 --> 00:28:49,410 So this one was just to continue saying, OK, now we're 602 00:28:49,410 --> 00:28:52,280 going to leave these two on, and we're going to do the 603 00:28:52,280 --> 00:28:53,680 dimensions of each term. 604 00:28:53,680 --> 00:28:58,530 I have one, two, three, four, let's say-- 605 00:28:58,530 --> 00:29:00,110 four terms I want to talk about. 606 00:29:00,110 --> 00:29:03,470 I'll do the dimensions of two terms on this board, 607 00:29:03,470 --> 00:29:06,300 dimensions of two terms on that board, now I'll have all 608 00:29:06,300 --> 00:29:07,900 the dimensions there. 609 00:29:07,900 --> 00:29:10,400 And now I can start, for example, doing dimensional 610 00:29:10,400 --> 00:29:12,340 analysis on this side of the room. 611 00:29:12,340 --> 00:29:16,890 And we'll eventually get to the Reynolds number, which is 612 00:29:16,890 --> 00:29:19,490 vr over nu. 613 00:29:19,490 --> 00:29:21,510 Once we know this guy's dimensions. 614 00:29:21,510 --> 00:29:23,810 And v, we know his dimensions, r the size of 615 00:29:23,810 --> 00:29:24,880 your sphere or something. 616 00:29:24,880 --> 00:29:26,540 So this is dimensionless. 617 00:29:32,490 --> 00:29:35,820 Now you've got the Reynolds number, you've also got, say, 618 00:29:35,820 --> 00:29:39,990 drag coefficient, which is f over 1/2 [INAUDIBLE] 619 00:29:39,990 --> 00:29:42,620 v squared times some area. 620 00:29:42,620 --> 00:29:44,480 So this is also dimensionless. 621 00:29:44,480 --> 00:29:46,780 So now, you have two dimensionless things. 622 00:29:46,780 --> 00:29:49,855 And then finally, the finale is-- 623 00:30:24,530 --> 00:30:27,920 So now, let's say by the end of the lecture, you get to the 624 00:30:27,920 --> 00:30:30,510 point where you've plotted the drag coefficient, a 625 00:30:30,510 --> 00:30:33,270 dimensionless thing, versus the Reynolds number, on a 626 00:30:33,270 --> 00:30:35,710 log-log scale. 627 00:30:35,710 --> 00:30:38,200 And then you can talk about this, you can go back and you 628 00:30:38,200 --> 00:30:39,210 say, OK, well what is this? 629 00:30:39,210 --> 00:30:40,080 This is really interesting. 630 00:30:40,080 --> 00:30:41,210 It looks like it was constant. 631 00:30:41,210 --> 00:30:42,440 And then what happened? 632 00:30:42,440 --> 00:30:44,150 Well, you can go back and talk about that. 633 00:30:44,150 --> 00:30:47,430 And as you talk about it, the entire graph is visible to 634 00:30:47,430 --> 00:30:50,720 everyone, as well as the source of all the pieces of 635 00:30:50,720 --> 00:30:52,500 the graph, which is all the-- 636 00:30:52,500 --> 00:30:53,770 why is everything dimensionless? 637 00:30:53,770 --> 00:30:55,350 Well, you have it on these two boards. 638 00:30:55,350 --> 00:30:57,450 And what are the terms that you used? 639 00:30:57,450 --> 00:30:58,650 Well, those are all on there. 640 00:30:58,650 --> 00:31:02,410 So all of that is visible in one glance. 641 00:31:02,410 --> 00:31:07,160 So that's an example of something that is hard to do 642 00:31:07,160 --> 00:31:08,880 in the slides. 643 00:31:08,880 --> 00:31:10,985 Now, it's not easy to get it right on 644 00:31:10,985 --> 00:31:11,800 the blackboard, either. 645 00:31:11,800 --> 00:31:13,550 You do have to plan. 646 00:31:13,550 --> 00:31:15,960 You have to plan by saying, what am I going 647 00:31:15,960 --> 00:31:17,670 to put on each board? 648 00:31:17,670 --> 00:31:19,910 And how am I going to structure the boards? 649 00:31:19,910 --> 00:31:23,010 But you can do that on your lesson plan, for example, on 650 00:31:23,010 --> 00:31:24,410 the back of the lesson plan. 651 00:31:24,410 --> 00:31:26,370 Say, OK, how many boards do I have? 652 00:31:26,370 --> 00:31:28,000 And what am I going to use? 653 00:31:28,000 --> 00:31:31,830 And then, if you want to take advantage of the fact that 654 00:31:31,830 --> 00:31:34,660 everything is visible all the time, you generally don't want 655 00:31:34,660 --> 00:31:37,430 to use the up-and-down nature of the board. 656 00:31:37,430 --> 00:31:41,670 You just want to use two boards on each of the regions. 657 00:31:41,670 --> 00:31:45,750 If you push this up, and start writing on this guy, you're 658 00:31:45,750 --> 00:31:47,580 now OK, still. 659 00:31:47,580 --> 00:31:51,560 But then, when you push this up, and you write on here, 660 00:31:51,560 --> 00:31:54,480 you've covered this guy up. 661 00:31:54,480 --> 00:31:56,620 And yes, you've lost some of that advantage. 662 00:31:56,620 --> 00:31:59,520 Again, you can plan it out, and do a trade off. 663 00:31:59,520 --> 00:32:03,870 But that is harder to do with slides. 664 00:32:03,870 --> 00:32:08,210 Now, your question about how big you should write so that 665 00:32:08,210 --> 00:32:11,580 everyone can see, versus telling the whole story. 666 00:32:11,580 --> 00:32:14,510 I think it is important to try to tell the whole story. 667 00:32:14,510 --> 00:32:17,330 It doesn't have to be the entire lecture sits on the set 668 00:32:17,330 --> 00:32:20,610 of blackboards, but a coherent chunk of the lecture should 669 00:32:20,610 --> 00:32:21,860 sit on the blackboards. 670 00:32:23,870 --> 00:32:25,510 You have two things you could control. 671 00:32:25,510 --> 00:32:28,990 One you can control is the writing size, and the other is 672 00:32:28,990 --> 00:32:30,740 what you write down. 673 00:32:30,740 --> 00:32:33,450 So this is a similarity between slides and 674 00:32:33,450 --> 00:32:36,890 blackboards, which is you don't want to 675 00:32:36,890 --> 00:32:39,450 write everything down. 676 00:32:39,450 --> 00:32:43,540 Because if you write everything down, then you say, 677 00:32:43,540 --> 00:32:46,330 well for example, did I write every single 678 00:32:46,330 --> 00:32:47,260 thing I said here? 679 00:32:47,260 --> 00:32:50,410 No, because I want the main ideas to come across. 680 00:32:50,410 --> 00:32:52,990 Every little detail that I say, that should be either in 681 00:32:52,990 --> 00:32:55,130 the notes, or in some book. 682 00:32:55,130 --> 00:32:59,660 But the main point should be on the blackboard at a level 683 00:32:59,660 --> 00:33:02,880 of detail that people can absorb. 684 00:33:02,880 --> 00:33:03,940 It's the same thing with slides. 685 00:33:03,940 --> 00:33:05,310 You don't want to put everything on the slides. 686 00:33:05,310 --> 00:33:08,230 So, you can still write big, if you just cut down 687 00:33:08,230 --> 00:33:10,740 how much you write. 688 00:33:10,740 --> 00:33:14,270 And generally, that is more suited to what students need. 689 00:33:14,270 --> 00:33:19,360 Because, again, they are living in the dirt of what is 690 00:33:19,360 --> 00:33:20,960 this, and what is this. 691 00:33:20,960 --> 00:33:22,830 And you want to try to bring them up higher. 692 00:33:22,830 --> 00:33:25,090 So you don't want to spend a whole bunch of time on all 693 00:33:25,090 --> 00:33:26,080 these little guys. 694 00:33:26,080 --> 00:33:28,630 You want to try to bring them up higher, and put some 695 00:33:28,630 --> 00:33:31,910 high-level chunks onto the little bits that they have. 696 00:33:31,910 --> 00:33:35,580 So use a big chalk, write, large, just don't write 697 00:33:35,580 --> 00:33:36,110 everything. 698 00:33:36,110 --> 00:33:38,840 And try to fit a coherent piece onto all the 699 00:33:38,840 --> 00:33:39,410 blackboards. 700 00:33:39,410 --> 00:33:40,860 It doesn't have to be a whole lecture. 701 00:33:40,860 --> 00:33:43,220 Although Feynman, at Caltech, when he 702 00:33:43,220 --> 00:33:44,350 gave the Feynman Lectures-- 703 00:33:44,350 --> 00:33:46,220 well, what later became the Feynman Lectures-- he did 704 00:33:46,220 --> 00:33:49,620 actually plan it so that he would start at one corner, and 705 00:33:49,620 --> 00:33:53,480 he would end all the way here. 706 00:33:53,480 --> 00:33:57,020 And I find that's too hard to do if you're also going to 707 00:33:57,020 --> 00:33:59,530 make the lecture at all interactive. 708 00:33:59,530 --> 00:34:01,640 For example, if you're going to have questions where you're 709 00:34:01,640 --> 00:34:03,960 going to have the students give answers, and you're going 710 00:34:03,960 --> 00:34:04,960 to write down the answers. 711 00:34:04,960 --> 00:34:06,830 Well, you're not necessarily going to keep all the answers 712 00:34:06,830 --> 00:34:08,690 for the rest of the class. 713 00:34:08,690 --> 00:34:11,630 So the goal of corner-to-corner, I think, is 714 00:34:11,630 --> 00:34:12,570 a bit too strict. 715 00:34:12,570 --> 00:34:15,190 But the general idea is sound. 716 00:34:15,190 --> 00:34:18,620 Any questions about that before we take a break, and 717 00:34:18,620 --> 00:34:22,409 then go onto slides, and slide design? 718 00:34:22,409 --> 00:34:23,370 Yes. 719 00:34:23,370 --> 00:34:26,525 AUDIENCE: I just wanted to comment that also, a lot of 720 00:34:26,525 --> 00:34:29,399 students, if there are slides, and they're available online, 721 00:34:29,399 --> 00:34:32,280 they will just print them out, and not come to lectures. 722 00:34:32,280 --> 00:34:34,699 PROFESSOR: That's true. 723 00:34:34,699 --> 00:34:37,250 A lot of students will just print the lecture slides, and 724 00:34:37,250 --> 00:34:39,510 then just think they can thumb through them, and understand 725 00:34:39,510 --> 00:34:40,290 the lecture. 726 00:34:40,290 --> 00:34:42,820 So that's partly-- 727 00:34:42,820 --> 00:34:48,199 you could call it the optimism of youth. 728 00:34:48,199 --> 00:34:51,560 That they don't realize how much they're actually not 729 00:34:51,560 --> 00:34:53,810 seeing, because they didn't actually come. 730 00:34:53,810 --> 00:34:56,770 They think if they just follow each slide, they've understood 731 00:34:56,770 --> 00:34:57,110 everything. 732 00:34:57,110 --> 00:34:59,770 But there's no way to put everything in a slide. 733 00:34:59,770 --> 00:35:03,160 If you packed a slide with everything you said that was 734 00:35:03,160 --> 00:35:06,330 worth remembering, or that was actually part of the structure 735 00:35:06,330 --> 00:35:08,020 of the argument, then it would become not a 736 00:35:08,020 --> 00:35:10,510 slide, but a book chapter. 737 00:35:10,510 --> 00:35:11,870 And so, yeah. 738 00:35:11,870 --> 00:35:13,720 I think there is a reasonable argument that if there's a 739 00:35:13,720 --> 00:35:16,080 book chapter-- 740 00:35:16,080 --> 00:35:17,930 maybe they don't want to come to lecture if all you're doing 741 00:35:17,930 --> 00:35:18,890 is reading the book chapter. 742 00:35:18,890 --> 00:35:20,705 But slide, and lecture, are so different. 743 00:35:20,705 --> 00:35:24,030 It's sort of like, if you just take a few photographs of the 744 00:35:24,030 --> 00:35:26,030 blackboard, could you replace the lecture? 745 00:35:26,030 --> 00:35:28,520 No, but you're right, students do think that. 746 00:35:28,520 --> 00:35:31,810 So actually I don't like giving them handouts of the 747 00:35:31,810 --> 00:35:34,410 slides, if I do happen to use slides. 748 00:35:34,410 --> 00:35:36,560 Because it's really not a substitute for a lecture. 749 00:35:36,560 --> 00:35:39,590 It's an aid to the lecture, just like the blackboard is an 750 00:35:39,590 --> 00:35:40,740 aide to the lecture. 751 00:35:40,740 --> 00:35:43,400 But what's important about the lecture is, what are you 752 00:35:43,400 --> 00:35:45,040 having them do in the lecture? 753 00:35:45,040 --> 00:35:46,730 And that's the reason they should come into lecture. 754 00:35:46,730 --> 00:35:48,590 Because in lecture, they're actually struggling with some 755 00:35:48,590 --> 00:35:50,290 stuff, and you've structured it so that they 756 00:35:50,290 --> 00:35:51,740 struggle, and learn. 757 00:35:51,740 --> 00:35:54,330 And somehow you have to convince them 758 00:35:54,330 --> 00:35:55,750 that that's the value. 759 00:35:55,750 --> 00:35:59,070 And it's hard, because of what you say. 760 00:35:59,070 --> 00:36:00,730 Other comments or questions? 761 00:36:00,730 --> 00:36:02,228 One second, in the back. 762 00:36:02,228 --> 00:36:03,722 AUDIENCE: [INAUDIBLE] 763 00:36:03,722 --> 00:36:07,042 But at the same time, I've probably taken at least half a 764 00:36:07,042 --> 00:36:09,210 dozen classes where every single word that the lecturer 765 00:36:09,210 --> 00:36:12,150 spoke, was present on the slide. 766 00:36:12,150 --> 00:36:16,183 And then it felt kind of worthless going, because you 767 00:36:16,183 --> 00:36:20,378 show up, you pick up the slide handouts, and you can read the 768 00:36:20,378 --> 00:36:22,314 slides during the lecture. 769 00:36:22,314 --> 00:36:24,129 You pay no attention to the lecture, because he's not 770 00:36:24,129 --> 00:36:24,750 saying anything that isn't there. 771 00:36:24,750 --> 00:36:25,760 PROFESSOR: Right. 772 00:36:25,760 --> 00:36:27,780 So that's sort of the worst of both worlds. 773 00:36:27,780 --> 00:36:30,820 So now, what they've done, is they've taken the constraints 774 00:36:30,820 --> 00:36:32,000 of the slide format-- 775 00:36:32,000 --> 00:36:33,710 because there's only so many words you can put on the 776 00:36:33,710 --> 00:36:35,990 slide, and make it even at all readable-- 777 00:36:35,990 --> 00:36:37,750 and often they don't make it readable, and I'll show you an 778 00:36:37,750 --> 00:36:40,240 example when we come back. 779 00:36:40,240 --> 00:36:42,550 And so then they've torqued the lecture to be basically 780 00:36:42,550 --> 00:36:44,320 reading out the slide. 781 00:36:44,320 --> 00:36:46,600 So now they messed up the lecture, and the slide still 782 00:36:46,600 --> 00:36:49,580 isn't really a good substitute. 783 00:36:49,580 --> 00:36:51,410 It's a huge problem. 784 00:36:51,410 --> 00:36:54,280 I think the answer to that, is that if you're going to use 785 00:36:54,280 --> 00:36:56,790 slides, they're really an aide, but the students really 786 00:36:56,790 --> 00:36:59,000 need to learn how to read a book, or your notes. 787 00:36:59,000 --> 00:37:00,480 Or something that's actually a coherent 788 00:37:00,480 --> 00:37:02,822 presentation of the material. 789 00:37:02,822 --> 00:37:03,300 Yes. 790 00:37:03,300 --> 00:37:05,790 AUDIENCE: So when you write something on the board to 791 00:37:05,790 --> 00:37:09,533 respond to a comment, and it [INAUDIBLE] some of your space 792 00:37:09,533 --> 00:37:12,620 that you could otherwise use to plan for the usual stuff. 793 00:37:12,620 --> 00:37:15,150 So when do you erase that comment? 794 00:37:17,670 --> 00:37:19,030 PROFESSOR: That's a good question. 795 00:37:19,030 --> 00:37:21,650 So how temporary should stuff be? 796 00:37:21,650 --> 00:37:26,920 One way to do it is to think about the number of minutes 797 00:37:26,920 --> 00:37:29,280 each thing deserves. 798 00:37:29,280 --> 00:37:30,490 So that-- 799 00:37:30,490 --> 00:37:33,560 I like things like that to be on the board the whole time, 800 00:37:33,560 --> 00:37:35,290 if possible. 801 00:37:35,290 --> 00:37:38,100 And now it may be that, halfway through, I might 802 00:37:38,100 --> 00:37:40,080 reclaim that board if I don't have a choice. 803 00:37:40,080 --> 00:37:42,570 But I'd like that to be there for a while, at least, because 804 00:37:42,570 --> 00:37:45,250 that's really the main reason we're doing all this stuff. 805 00:37:45,250 --> 00:37:46,190 And what are we doing. 806 00:37:46,190 --> 00:37:48,650 So ideally, I'd put that on the side blackboard, and just 807 00:37:48,650 --> 00:37:51,100 leave it there forever. 808 00:37:51,100 --> 00:37:53,410 Something like this, I would like it to stay there the 809 00:37:53,410 --> 00:37:54,920 whole time, so we remember. 810 00:37:54,920 --> 00:37:56,840 So this, I would mark as, "don't 811 00:37:56,840 --> 00:37:59,830 erase," if at all possible. 812 00:37:59,830 --> 00:38:06,520 So when I'm writing stuff down, I would know, how 813 00:38:06,520 --> 00:38:07,840 perishable is the material? 814 00:38:07,840 --> 00:38:09,920 That's the word I'm looking for. 815 00:38:09,920 --> 00:38:12,440 So suppose I ask people a question, 816 00:38:12,440 --> 00:38:13,500 like the wood blocks. 817 00:38:13,500 --> 00:38:15,220 OK, what's the frequency going to be? 818 00:38:15,220 --> 00:38:16,800 And we get a bunch of reasons. 819 00:38:16,800 --> 00:38:19,590 I think the reasons are quite perishable. 820 00:38:19,590 --> 00:38:22,070 After we write them down, and we talk about them, and then 821 00:38:22,070 --> 00:38:25,790 we reconcile everything, I'm perfectly happy to erase all 822 00:38:25,790 --> 00:38:28,750 the reasons, and just have the reconciled 823 00:38:28,750 --> 00:38:31,350 picture on the board. 824 00:38:31,350 --> 00:38:35,160 But while I'm reconciling, I want them all visible. 825 00:38:35,160 --> 00:38:37,810 So then, what I would do, is I would try to have all those 826 00:38:37,810 --> 00:38:40,480 reasons go, say, here. 827 00:38:40,480 --> 00:38:41,730 I might cover that up temporarily. 828 00:38:44,400 --> 00:38:49,890 What I would do, is I would write the reasons here, and 829 00:38:49,890 --> 00:38:54,990 then do the reconciliation here. 830 00:38:54,990 --> 00:38:55,780 And then-- 831 00:38:55,780 --> 00:38:58,280 so let's call this Reconciliation-- 832 00:38:58,280 --> 00:39:04,620 so this is actually the picture that I would use for 833 00:39:04,620 --> 00:39:06,020 the wood blocks, which is this. 834 00:39:06,020 --> 00:39:08,270 And I would draw a bunch of arrows, and stuff, dot, dot, 835 00:39:08,270 --> 00:39:09,830 dots, and spring [? bogs ?] 836 00:39:09,830 --> 00:39:10,520 OK. 837 00:39:10,520 --> 00:39:15,200 And now, I need to reclaim this board with perishable 838 00:39:15,200 --> 00:39:16,280 material on it. 839 00:39:16,280 --> 00:39:18,980 So now I reclaim the board. 840 00:39:18,980 --> 00:39:20,480 So this had reasons before. 841 00:39:24,320 --> 00:39:26,910 Lots of reasons. 842 00:39:26,910 --> 00:39:29,030 OK, and then, reclaim this. 843 00:39:29,030 --> 00:39:33,050 And I still have that reconciliation up there, and I 844 00:39:33,050 --> 00:39:34,483 have this board back. 845 00:39:34,483 --> 00:39:37,490 AUDIENCE: So you think it is a good idea to separate the 846 00:39:37,490 --> 00:39:41,745 perishable things on one board, and then the more 847 00:39:41,745 --> 00:39:43,530 permanent things on the other board? 848 00:39:43,530 --> 00:39:43,642 PROFESSOR: Yes. 849 00:39:43,642 --> 00:39:44,610 I think it is a good idea. 850 00:39:44,610 --> 00:39:45,100 That's a good point. 851 00:39:45,100 --> 00:39:46,870 I hadn't thought of it that way, but that is a good idea. 852 00:39:46,870 --> 00:39:50,080 Because that way you can reclaim the entire board back, 853 00:39:50,080 --> 00:39:52,570 and then replace it with more permanent things. 854 00:39:52,570 --> 00:39:54,700 Or, if something perishable is going to go back 855 00:39:54,700 --> 00:39:56,100 on it, put it here. 856 00:39:56,100 --> 00:39:59,350 And then, when it's done, to erase it, until a permanent 857 00:39:59,350 --> 00:40:00,100 thing goes on there. 858 00:40:00,100 --> 00:40:03,000 And then you move onto the next board. 859 00:40:03,000 --> 00:40:04,920 So it does require some board planning. 860 00:40:04,920 --> 00:40:07,710 But what you find, basically, is the first time you teach 861 00:40:07,710 --> 00:40:09,820 the course, you wish you'd planned it more 862 00:40:09,820 --> 00:40:10,840 in the first lecture. 863 00:40:10,840 --> 00:40:14,870 But then you start to be more automatic about it. 864 00:40:14,870 --> 00:40:15,420 Yes. 865 00:40:15,420 --> 00:40:17,248 AUDIENCE: I have a comment on the performance 866 00:40:17,248 --> 00:40:18,620 aspect of the board. 867 00:40:18,620 --> 00:40:21,392 So when you were writing these equations, and then as you 868 00:40:21,392 --> 00:40:23,852 went back in the vector symbols, and also when you're 869 00:40:23,852 --> 00:40:26,066 circling things, because if you're doing it right, the 870 00:40:26,066 --> 00:40:26,804 students are engaged. 871 00:40:26,804 --> 00:40:30,260 Their focus is [INAUDIBLE] chalk. 872 00:40:30,260 --> 00:40:31,446 PROFESSOR: That's a good point. 873 00:40:31,446 --> 00:40:33,760 AUDIENCE: It's as much of an interactive activity as they 874 00:40:33,760 --> 00:40:35,910 can with you writing on the board. 875 00:40:35,910 --> 00:40:38,555 Whereas with a slide, certainly [INAUDIBLE] a 876 00:40:38,555 --> 00:40:42,854 physical pointer, you might circle something, but then 877 00:40:42,854 --> 00:40:43,846 there's nothing there. 878 00:40:43,846 --> 00:40:45,582 A laser pointer's even worse, because you're not actually 879 00:40:45,582 --> 00:40:46,326 touching anything. 880 00:40:46,326 --> 00:40:49,671 Even if you have an animation drawing, you're still 881 00:40:49,671 --> 00:40:51,084 separate from it. 882 00:40:51,084 --> 00:40:54,964 So I think that's a big advantage of the board. 883 00:40:54,964 --> 00:40:58,454 If their attention is at your chalk tip, then that's some 884 00:40:58,454 --> 00:41:03,540 degree of engagement with that action. 885 00:41:03,540 --> 00:41:06,000 PROFESSOR: Yeah that's a really good point. 886 00:41:06,000 --> 00:41:11,720 So the point is that when I'm, for example, circling this, it 887 00:41:11,720 --> 00:41:14,370 directs people's attention, and then there's a permanent 888 00:41:14,370 --> 00:41:15,680 trace left. 889 00:41:15,680 --> 00:41:18,350 So you can, kind of, do it on a slide. 890 00:41:18,350 --> 00:41:20,900 If you knew you were going to do that ahead of time, you can 891 00:41:20,900 --> 00:41:24,870 make an animation that goes, circle. 892 00:41:24,870 --> 00:41:26,900 So you can do that, but it's hard. 893 00:41:26,900 --> 00:41:31,730 So one of the cures for that is this tablet, a kind of PC. 894 00:41:31,730 --> 00:41:34,300 So you can actually write on the tablet as you go. 895 00:41:34,300 --> 00:41:34,510 AUDIENCE: Yeah. 896 00:41:34,510 --> 00:41:37,756 But even so, the thing is that you're still over there 897 00:41:37,756 --> 00:41:37,919 [INAUDIBLE]. 898 00:41:37,919 --> 00:41:38,406 PROFESSOR: I know. 899 00:41:38,406 --> 00:41:41,340 AUDIENCE: [INAUDIBLE]. 900 00:41:41,340 --> 00:41:42,430 PROFESSOR: I think that's true. 901 00:41:42,430 --> 00:41:44,210 That, actually, we are together, doing 902 00:41:44,210 --> 00:41:45,860 this, on the object. 903 00:41:45,860 --> 00:41:48,071 AUDIENCE: Yeah that's exactly what I was not saying very 904 00:41:48,071 --> 00:41:53,045 well earlier, was you can do all this, what you're saying, 905 00:41:53,045 --> 00:41:54,340 on a slide, just as well. 906 00:41:54,340 --> 00:41:57,205 When I do [INAUDIBLE] presentations, I do actually 907 00:41:57,205 --> 00:41:58,660 animate the circle. 908 00:41:58,660 --> 00:42:00,697 I find that that's the most intuitive way 909 00:42:00,697 --> 00:42:02,055 for me to do something. 910 00:42:02,055 --> 00:42:04,480 But it's not the same as actually drawing it yourself. 911 00:42:04,480 --> 00:42:05,450 It's not the same level of activity. 912 00:42:05,450 --> 00:42:08,360 And obviously you kind of have to use slides for [INAUDIBLE], 913 00:42:08,360 --> 00:42:10,310 but in a classroom you don't have to. 914 00:42:10,310 --> 00:42:10,670 PROFESSOR: Right. 915 00:42:10,670 --> 00:42:12,830 OK, so that's what we'll talk about when we come back-- the 916 00:42:12,830 --> 00:42:16,560 difference being technical presentation, and teaching. 917 00:42:16,560 --> 00:42:20,120 And then we'll actually look at an example of slides, and 918 00:42:20,120 --> 00:42:23,470 we'll critique them, and I'll show you how to redraw them. 919 00:42:23,470 --> 00:42:26,100 OK so break for 10 minutes. 920 00:42:26,100 --> 00:42:29,090 We'll start at 10:18 sharp, by that clock. 921 00:42:29,090 --> 00:42:32,250 So you can set your clocks accordingly. 922 00:42:32,250 --> 00:42:36,360 And I will erase all this, and put up a slide that we're 923 00:42:36,360 --> 00:42:37,410 going to critique. 924 00:42:37,410 --> 00:42:38,870 And then we'll talk about technical 925 00:42:38,870 --> 00:42:40,080 presentations versus teaching. 926 00:42:40,080 --> 00:42:42,740 Because there's a lot of misconceptions that come from 927 00:42:42,740 --> 00:42:44,100 technical presentations. 928 00:42:44,100 --> 00:42:45,310 And therefore, people think we should 929 00:42:45,310 --> 00:42:46,580 use slides for teaching. 930 00:42:46,580 --> 00:42:49,510 OK, so see in 10 minutes, or if people have questions 931 00:42:49,510 --> 00:42:50,760 during the break. 932 00:42:55,280 --> 00:43:03,950 OK, so our next task is to figure out, if you are going 933 00:43:03,950 --> 00:43:07,650 to use slides, what should you do. 934 00:43:07,650 --> 00:43:12,880 And related to that point is, when are slides appropriate. 935 00:43:12,880 --> 00:43:16,880 People have the idea the slides are always appropriate 936 00:43:16,880 --> 00:43:19,440 for teaching, because they see them used all 937 00:43:19,440 --> 00:43:22,780 the time for seminars. 938 00:43:22,780 --> 00:43:25,280 So if you go, and give a talk at a conference, you go to a 939 00:43:25,280 --> 00:43:26,380 conference, most-- 940 00:43:26,380 --> 00:43:27,620 almost all the talks-- 941 00:43:27,620 --> 00:43:32,100 or at the department seminars, basically people now come with 942 00:43:32,100 --> 00:43:34,690 some form of slides. 943 00:43:34,690 --> 00:43:36,900 When I was an undergraduate, it was sort of transitional-- 944 00:43:36,900 --> 00:43:41,670 people came with overhead projector foils. 945 00:43:41,670 --> 00:43:44,210 And it was sort of shifting, from seminars used to be 946 00:43:44,210 --> 00:43:46,220 blackboard seminars, and then they shifted to overhead 947 00:43:46,220 --> 00:43:48,860 projectors, at least in physics. 948 00:43:48,860 --> 00:43:51,290 And now it's pretty much slides all the way through. 949 00:43:51,290 --> 00:43:56,880 But there's a fundamental difference between seminar 950 00:43:56,880 --> 00:43:59,420 presentation, and teaching. 951 00:43:59,420 --> 00:44:02,220 And seminar presentation-- 952 00:44:02,220 --> 00:44:03,790 basically you're talking to people 953 00:44:03,790 --> 00:44:05,240 who are sort of experts. 954 00:44:05,240 --> 00:44:08,320 They may not be experts in that particular area you've 955 00:44:08,320 --> 00:44:09,250 understood. 956 00:44:09,250 --> 00:44:11,160 Probably not, otherwise they would have invited one of them 957 00:44:11,160 --> 00:44:13,150 to talk, instead of you. 958 00:44:13,150 --> 00:44:16,700 So now, you're the expert locally, on that local area. 959 00:44:16,700 --> 00:44:18,500 But in the broader area, you're talking to basically 960 00:44:18,500 --> 00:44:19,740 people who are already interested in, and are 961 00:44:19,740 --> 00:44:21,120 professionals in the field. 962 00:44:21,120 --> 00:44:23,985 And maybe some apprentices in the field, who are going to 963 00:44:23,985 --> 00:44:26,320 soon be professionals, like graduate students. 964 00:44:26,320 --> 00:44:30,550 So your goal is not to slowly, necessarily, uncover one or 965 00:44:30,550 --> 00:44:34,430 two ideas, especially if it's a 10-minute conference 966 00:44:34,430 --> 00:44:35,970 presentation. 967 00:44:35,970 --> 00:44:42,000 Your goal is something like, here are the core, main 968 00:44:42,000 --> 00:44:44,490 ideas-- one or two points-- and here's something to show 969 00:44:44,490 --> 00:44:47,430 you that really interesting stuff is going on. 970 00:44:47,430 --> 00:44:50,410 And you should pay more attention to me is part of the 971 00:44:50,410 --> 00:44:51,920 goal of the seminar. 972 00:44:51,920 --> 00:44:54,290 Now that's very different in teaching. 973 00:44:54,290 --> 00:44:57,570 In teaching, your goal really is to kindle some new thoughts 974 00:44:57,570 --> 00:44:58,510 in the student. 975 00:44:58,510 --> 00:45:03,560 And who are very different from a seminar audience. 976 00:45:03,560 --> 00:45:04,570 They are not professionals. 977 00:45:04,570 --> 00:45:07,910 Maybe they would like to eventually be, but part of 978 00:45:07,910 --> 00:45:10,530 your job is to kindle that interest so they would like to 979 00:45:10,530 --> 00:45:11,520 become professionals. 980 00:45:11,520 --> 00:45:14,500 So you have a very, very different audience, and 981 00:45:14,500 --> 00:45:17,650 generally much different time constraint. 982 00:45:17,650 --> 00:45:20,870 In a seminar, maybe it's 10 minutes, maybe 15 minutes. 983 00:45:20,870 --> 00:45:23,150 Rarely, once you start getting well known, maybe you get 984 00:45:23,150 --> 00:45:24,830 invited to give a 50-minute seminar. 985 00:45:24,830 --> 00:45:28,060 But, teaching, you generally will have 50 minutes. 986 00:45:28,060 --> 00:45:32,030 So your time is different, your audience is different. 987 00:45:32,030 --> 00:45:35,070 So just because slides are used so much for seminars, 988 00:45:35,070 --> 00:45:37,130 does not mean they should be used so much for teaching. 989 00:45:37,130 --> 00:45:39,990 You should really use them when you don't really have a 990 00:45:39,990 --> 00:45:43,570 choice, and when it seems like it's the optimal thing to do. 991 00:45:43,570 --> 00:45:46,690 So for example, art history class. 992 00:45:46,690 --> 00:45:49,250 Now, an art history class, it would be fantastic to go to 993 00:45:49,250 --> 00:45:51,600 Sienna, and look at all the tapestries, and take the whole 994 00:45:51,600 --> 00:45:52,950 class with you. 995 00:45:52,950 --> 00:45:55,470 Now that's just too expensive. 996 00:45:55,470 --> 00:45:57,430 So, instead, you show slides. 997 00:45:57,430 --> 00:45:59,215 That's exactly why they're called slides-- they 998 00:45:59,215 --> 00:46:01,350 originally were 35 millimeter slides. 999 00:46:01,350 --> 00:46:03,610 35 millimeter? 1000 00:46:03,610 --> 00:46:06,100 Yeah, 35 millimeter slides. 1001 00:46:06,100 --> 00:46:08,290 So for something like that, yes, slides are ideal. 1002 00:46:08,290 --> 00:46:12,020 And drawing the tapestries of Sienna on the blackboard is 1003 00:46:12,020 --> 00:46:14,840 not even close to showing the actual pictures. 1004 00:46:14,840 --> 00:46:18,290 So, in that case, 100% go with slides. 1005 00:46:18,290 --> 00:46:20,820 Other cases generally go towards blackboards, but there 1006 00:46:20,820 --> 00:46:22,770 are cases where, for example, there are no blackboards in 1007 00:46:22,770 --> 00:46:24,770 the room, and you have to teach with slides. 1008 00:46:24,770 --> 00:46:25,950 There's no whiteboard, either. 1009 00:46:25,950 --> 00:46:28,730 Whiteboards are not as good as blackboards, but they're a 1010 00:46:28,730 --> 00:46:29,690 reasonable substitute. 1011 00:46:29,690 --> 00:46:32,370 But there's neither, and it's just slides. 1012 00:46:32,370 --> 00:46:33,615 Or, yes-- 1013 00:46:33,615 --> 00:46:34,980 AUDIENCE: Why aren't whiteboards as good as 1014 00:46:34,980 --> 00:46:35,890 blackboards? 1015 00:46:35,890 --> 00:46:42,160 PROFESSOR: I find the markers always dry out, whereas chalk 1016 00:46:42,160 --> 00:46:43,480 always works. 1017 00:46:43,480 --> 00:46:46,040 So blackboard markers never quite work as well. 1018 00:46:46,040 --> 00:46:50,200 And the other problem, just me personally, is that I'm 1019 00:46:50,200 --> 00:46:52,130 sensitive to the chemicals in them. 1020 00:46:52,130 --> 00:46:54,430 So I eventually just get a bit dizzy using them. 1021 00:46:57,880 --> 00:46:59,710 So I don't like him for that reason. 1022 00:46:59,710 --> 00:47:00,840 And there's quite a few people. 1023 00:47:00,840 --> 00:47:02,920 I'm sort of the canary, so I'm more sensitive, maybe, than 1024 00:47:02,920 --> 00:47:04,900 many people, because I have lots of allergies. 1025 00:47:04,900 --> 00:47:07,370 But I think lots of people are bit sensitive to them. 1026 00:47:07,370 --> 00:47:08,670 But, generally, I find the markers just 1027 00:47:08,670 --> 00:47:09,470 don't work as well. 1028 00:47:09,470 --> 00:47:14,550 And, also, there's very rare room has lots of whiteboards. 1029 00:47:14,550 --> 00:47:17,320 Whereas many, many, classrooms have this many blackboards. 1030 00:47:17,320 --> 00:47:20,550 When they replace them with whiteboards, usually it'll be 1031 00:47:20,550 --> 00:47:21,900 one whiteboard. 1032 00:47:21,900 --> 00:47:25,330 So then you're back to many of the disadvantages of slides, 1033 00:47:25,330 --> 00:47:28,780 which is that you can't get a big field of view. 1034 00:47:28,780 --> 00:47:31,910 But now let's say you are going to use slides. 1035 00:47:31,910 --> 00:47:33,600 How do we make good slides? 1036 00:47:33,600 --> 00:47:36,320 Well, one way to figure out what constitutes good slides, 1037 00:47:36,320 --> 00:47:38,770 is to look at what constitutes bad slides. 1038 00:47:38,770 --> 00:47:43,020 So this, here, is a horrid slide. 1039 00:47:43,020 --> 00:47:44,620 So what we're going to do is, I'm going to show you how to 1040 00:47:44,620 --> 00:47:45,470 re-write the slide. 1041 00:47:45,470 --> 00:47:47,180 But first, let's figure out what are some of the problems 1042 00:47:47,180 --> 00:47:47,920 with this slide. 1043 00:47:47,920 --> 00:47:52,600 So, take a couple minutes with your neighbors. 1044 00:47:52,600 --> 00:47:54,070 You can all see the slide. 1045 00:47:54,070 --> 00:47:57,970 What are the things that just don't work about it? 1046 00:47:57,970 --> 00:47:59,430 And there's many. 1047 00:47:59,430 --> 00:48:02,600 It's a very competitive field. 1048 00:48:02,600 --> 00:48:06,180 And I'll write some stuff down on here. 1049 00:48:06,180 --> 00:48:09,540 By the way, one thing is that the JIT, that I 1050 00:48:09,540 --> 00:48:11,460 just actually shortened. 1051 00:48:11,460 --> 00:48:14,040 It actually was, "Just in Time Learning". 1052 00:48:14,040 --> 00:48:16,630 I've just shortened it to improve the typesetting, 1053 00:48:16,630 --> 00:48:18,500 assuming that the audience knows what it means. 1054 00:48:18,500 --> 00:48:20,900 So the original slide didn't have that problem. 1055 00:48:25,240 --> 00:48:30,340 So I see you found lots of trouble. 1056 00:48:30,340 --> 00:48:34,060 Give me one thing that's wrong. 1057 00:48:34,060 --> 00:48:34,860 Adrian. 1058 00:48:34,860 --> 00:48:36,410 AUDIENCE: There's no message. 1059 00:48:36,410 --> 00:48:37,660 PROFESSOR: What do you mean by message? 1060 00:48:39,860 --> 00:48:44,310 AUDIENCE: What is the person trying to tell you here. 1061 00:48:44,310 --> 00:48:48,090 You have to infer what the person is trying to tell you 1062 00:48:48,090 --> 00:48:50,222 by analysing it yourself. 1063 00:48:55,140 --> 00:48:56,530 PROFESSOR: OK, no message. 1064 00:48:56,530 --> 00:48:59,650 So, the reader, the viewer, the student-- 1065 00:48:59,650 --> 00:49:02,520 this was actually used in a class, never mind where, but 1066 00:49:02,520 --> 00:49:04,770 it's not here. 1067 00:49:04,770 --> 00:49:09,310 Yeah, what is the teacher trying to communicate? 1068 00:49:09,310 --> 00:49:12,740 So Jean-Luc Doumont, if you saw him during IAP-- 1069 00:49:12,740 --> 00:49:17,630 he has a great way of talking about what's a message, versus 1070 00:49:17,630 --> 00:49:18,870 what's information. 1071 00:49:18,870 --> 00:49:20,120 So the message-- 1072 00:49:30,220 --> 00:49:33,360 so information, that's what that slide has. 1073 00:49:33,360 --> 00:49:34,470 It has lots of information. 1074 00:49:34,470 --> 00:49:47,920 That's the "what." Message is the "so what." 1075 00:49:47,920 --> 00:49:49,530 His native language is not English. 1076 00:49:49,530 --> 00:49:51,670 I wish I could come up with things like 1077 00:49:51,670 --> 00:49:55,000 that in other languages. 1078 00:49:55,000 --> 00:49:57,970 I think it's fantastic, because there's lots of 1079 00:49:57,970 --> 00:50:03,280 "what." Well, 12% said Just in Time Learning-- 1080 00:50:03,280 --> 00:50:05,220 JIT Learning-- was a bad idea. 1081 00:50:05,220 --> 00:50:08,340 But your question is, so what? 1082 00:50:08,340 --> 00:50:10,490 And there's no answer to that question. 1083 00:50:10,490 --> 00:50:11,740 So there's no message. 1084 00:50:14,474 --> 00:50:15,472 Yes. 1085 00:50:15,472 --> 00:50:18,845 AUDIENCE: So a counterpoint to that would be, this is 1086 00:50:18,845 --> 00:50:21,168 documentation, this isn't propaganda. 1087 00:50:21,168 --> 00:50:21,655 Right? 1088 00:50:21,655 --> 00:50:25,875 You don't want to say, this is what you should all think 1089 00:50:25,875 --> 00:50:28,716 about this data, instead of, look at the data yourself, and 1090 00:50:28,716 --> 00:50:29,934 make your own conclusion. 1091 00:50:29,934 --> 00:50:31,719 Presenting the data in an accessible manner is a 1092 00:50:31,719 --> 00:50:32,369 different issue. 1093 00:50:32,369 --> 00:50:35,800 But I don't know if I agree with this, "so what" idea. 1094 00:50:35,800 --> 00:50:37,730 PROFESSOR: And some of that is that, yeah, definitely in a 1095 00:50:37,730 --> 00:50:41,570 seminar, you lean much more towards the "so what." And you 1096 00:50:41,570 --> 00:50:44,470 would put in the "so what," really first. 1097 00:50:44,470 --> 00:50:47,990 And in teaching, maybe you start with the "what," and 1098 00:50:47,990 --> 00:50:52,140 then you lead to the "so what." So, for example, the 1099 00:50:52,140 --> 00:50:53,310 wood blocks. 1100 00:50:53,310 --> 00:50:56,060 Here's the "what--" what do you think is going to happen? 1101 00:50:56,060 --> 00:50:58,710 And I haven't said, "so what," really. 1102 00:50:58,710 --> 00:51:02,090 And then we talk about a whole bunch of ways of analyzing it, 1103 00:51:02,090 --> 00:51:03,880 and then we finally lead up to the "so what.". 1104 00:51:03,880 --> 00:51:07,350 But at some point, you do want a "so what." 1105 00:51:07,350 --> 00:51:10,050 So, yeah, without seeing the entire lecture, it's hard to 1106 00:51:10,050 --> 00:51:13,120 know if they ever gave a "so what." But I can tell you that 1107 00:51:13,120 --> 00:51:16,320 the succeeding slides just went on to other topics. 1108 00:51:16,320 --> 00:51:18,140 So it wasn't that they were using that 1109 00:51:18,140 --> 00:51:19,830 to develop the point-- 1110 00:51:19,830 --> 00:51:22,330 what do you think about Just in Time Learning, or how 1111 00:51:22,330 --> 00:51:24,090 should we analyze Just in Time Learning. 1112 00:51:24,090 --> 00:51:25,820 They just moved on. 1113 00:51:25,820 --> 00:51:26,588 Yes. 1114 00:51:26,588 --> 00:51:30,340 AUDIENCE: Going back to your art history example as a good 1115 00:51:30,340 --> 00:51:33,264 use of slides, that doesn't have anything in it that gives 1116 00:51:33,264 --> 00:51:36,756 you "so what." It gives the presentation of information, 1117 00:51:36,756 --> 00:51:39,612 and then the discussion of it is what gives that. 1118 00:51:39,612 --> 00:51:41,760 So I don't necessarily think there's something inherently 1119 00:51:41,760 --> 00:51:46,410 wrong with giving information on a slide, and having not 1120 00:51:46,410 --> 00:51:48,785 answered the discussion in the slide. 1121 00:51:51,650 --> 00:51:53,160 PROFESSOR: It's not inherently wrong, and 1122 00:51:53,160 --> 00:51:54,030 that's a good point. 1123 00:51:54,030 --> 00:51:56,070 So the art history one, it's sort of a 1124 00:51:56,070 --> 00:51:58,400 different use of the slide. 1125 00:51:58,400 --> 00:52:01,570 So there, it's really like you're bringing in a prop. 1126 00:52:01,570 --> 00:52:05,000 So the cones, these pyramids themselves, didn't have a "so 1127 00:52:05,000 --> 00:52:08,090 what." They only got a "so what" as we used them. 1128 00:52:08,090 --> 00:52:11,200 So it's the same way with the art history slide. 1129 00:52:11,200 --> 00:52:14,512 It would get its "so what" in how you discussed the slide. 1130 00:52:14,512 --> 00:52:19,810 But here, the slide is really the 1131 00:52:19,810 --> 00:52:21,400 alternative to the lecture-- 1132 00:52:21,400 --> 00:52:22,650 to the blackboard. 1133 00:52:26,020 --> 00:52:30,600 If you've gone to slide talks, or slide teaching, which 1134 00:52:30,600 --> 00:52:31,520 aren't art history. 1135 00:52:31,520 --> 00:52:34,060 I think art history is really a separate example. 1136 00:52:34,060 --> 00:52:37,300 It's, I'm telling you stuff, I'm telling you stuff, I'm 1137 00:52:37,300 --> 00:52:39,450 just telling you in a way that you don't really 1138 00:52:39,450 --> 00:52:41,090 know what I'm telling. 1139 00:52:41,090 --> 00:52:43,940 Like, I may be telling it to you verbally, but the slide 1140 00:52:43,940 --> 00:52:45,190 doesn't match what I'm telling you. 1141 00:52:47,680 --> 00:52:48,490 Sorry, you're next. 1142 00:52:48,490 --> 00:52:50,202 Go ahead first. 1143 00:52:50,202 --> 00:52:52,632 AUDIENCE: You may have already said this, but is this slide 1144 00:52:52,632 --> 00:52:54,904 supposed to be for the students, or is this for a 1145 00:52:54,904 --> 00:52:55,770 faculty meeting? 1146 00:52:55,770 --> 00:52:58,935 PROFESSOR: No, this was for a course about-- 1147 00:52:58,935 --> 00:53:00,020 what was the course about? 1148 00:53:00,020 --> 00:53:03,806 It was a computer science course somewhere. 1149 00:53:06,970 --> 00:53:09,200 Maybe it was a discussion of a-- 1150 00:53:09,200 --> 00:53:11,730 no, it was a computer science course, or a teaching course. 1151 00:53:11,730 --> 00:53:13,710 I forget exactly what course it was, but it was from a 1152 00:53:13,710 --> 00:53:14,920 particular course. 1153 00:53:14,920 --> 00:53:18,054 So it's a slide used in teaching. 1154 00:53:18,054 --> 00:53:19,978 Yes. 1155 00:53:19,978 --> 00:53:21,661 AUDIENCE: That partially answers what I 1156 00:53:21,661 --> 00:53:23,345 was going to say. 1157 00:53:23,345 --> 00:53:26,890 This material doesn't belong in the lecture in any course, 1158 00:53:26,890 --> 00:53:29,480 unless it's a course on teaching. 1159 00:53:29,480 --> 00:53:32,515 The surveys are filled out, so they benefitted the lecturer 1160 00:53:32,515 --> 00:53:34,455 so that they know what to do when planning 1161 00:53:34,455 --> 00:53:35,425 and running the course. 1162 00:53:35,425 --> 00:53:38,820 The students don't need to know what the results are. 1163 00:53:38,820 --> 00:53:42,020 PROFESSOR: I think it wasn't for the course itself, it was 1164 00:53:42,020 --> 00:53:46,380 for the students in a teaching course, is what I 1165 00:53:46,380 --> 00:53:47,630 think it was for. 1166 00:53:49,770 --> 00:53:54,060 And either way, whether it's for a seminar, or for a 1167 00:53:54,060 --> 00:53:56,090 teaching course, it has the same problem, which is you 1168 00:53:56,090 --> 00:53:57,530 don't even know what to think about it. 1169 00:53:57,530 --> 00:53:59,830 You just have a lot of data. 1170 00:53:59,830 --> 00:54:01,310 And there's no integration. 1171 00:54:01,310 --> 00:54:05,345 OK, so that's the no message-- 1172 00:54:05,345 --> 00:54:06,190 the "what," versus "so what." 1173 00:54:06,190 --> 00:54:07,270 What else is wrong? 1174 00:54:07,270 --> 00:54:09,063 Yeah, Wendy? 1175 00:54:09,063 --> 00:54:11,518 AUDIENCE: The data is just terribly organized. 1176 00:54:11,518 --> 00:54:13,482 [INAUDIBLE] 1177 00:54:13,482 --> 00:54:18,392 One thing is that there's bullets under bullets. 1178 00:54:18,392 --> 00:54:23,793 By the time I get to [INAUDIBLE], I'd rather skip, 1179 00:54:23,793 --> 00:54:27,721 I've forgotten [INAUDIBLE], I don't remember what we were 1180 00:54:27,721 --> 00:54:29,700 talking about. 1181 00:54:29,700 --> 00:54:31,900 PROFESSOR: Right, so the organization is ghastly. 1182 00:54:31,900 --> 00:54:35,633 AUDIENCE: And another good comment, which is that the 1183 00:54:35,633 --> 00:54:39,692 numbers of the percentages are not organized in any way. 1184 00:54:39,692 --> 00:54:41,153 They're not going from highest to lowest, 1185 00:54:41,153 --> 00:54:42,614 or lowest to highest. 1186 00:54:42,614 --> 00:54:47,880 So you've seen, maybe 52, you're like, I assume this is 1187 00:54:47,880 --> 00:54:49,437 going in descending order, and then 1188 00:54:49,437 --> 00:54:51,390 things get flipped around. 1189 00:54:51,390 --> 00:54:51,940 PROFESSOR: Right. 1190 00:54:51,940 --> 00:54:54,060 So the percentages are kind of random. 1191 00:54:54,060 --> 00:54:57,740 It's sort of like the "what." To organize it towards the "so 1192 00:54:57,740 --> 00:54:59,760 what," you would put some theme in it. 1193 00:54:59,760 --> 00:55:02,750 But there isn't any, or none that's obvious. 1194 00:55:02,750 --> 00:55:05,600 And the typesetting, yes, is related to the organization. 1195 00:55:05,600 --> 00:55:06,440 The typesetting is a bit off. 1196 00:55:06,440 --> 00:55:07,640 Yeah. 1197 00:55:07,640 --> 00:55:10,307 AUDIENCE: So related to that, [INAUDIBLE] the numbers and 1198 00:55:10,307 --> 00:55:14,430 the questions are given completely equal footing, 1199 00:55:14,430 --> 00:55:17,825 because the numbers are organized, [INAUDIBLE]. 1200 00:55:17,825 --> 00:55:20,706 And so the numbers just follow better to worse. 1201 00:55:24,087 --> 00:55:26,502 I'm sorry, the answers to the questions are organized from 1202 00:55:26,502 --> 00:55:27,468 better to worse. 1203 00:55:27,468 --> 00:55:28,440 [INAUDIBLE] 1204 00:55:28,440 --> 00:55:29,720 PROFESSOR: OK, so then it comes out. 1205 00:55:29,720 --> 00:55:29,950 OK. 1206 00:55:29,950 --> 00:55:32,520 AUDIENCE: And then it comes out, but that's not 1207 00:55:32,520 --> 00:55:33,770 [INAUDIBLE]. 1208 00:55:37,230 --> 00:55:39,400 PROFESSOR: So the Likert scale isn't obvious. 1209 00:55:43,350 --> 00:55:45,860 The Likert scale is the better-to-worse scale of how 1210 00:55:45,860 --> 00:55:47,380 much you agree with this statement. 1211 00:55:47,380 --> 00:55:48,120 Right. 1212 00:55:48,120 --> 00:55:50,360 So you're saying, also, the answers have equal prominence 1213 00:55:50,360 --> 00:55:51,587 to the questions. 1214 00:55:51,587 --> 00:55:53,455 AUDIENCE: Equal prominence to the percentages. 1215 00:55:53,455 --> 00:55:56,730 You have no clue what's organizing the information. 1216 00:55:56,730 --> 00:55:58,680 PROFESSOR: Right OK. 1217 00:55:58,680 --> 00:56:07,500 So the emphasis is random. 1218 00:56:07,500 --> 00:56:08,482 Yes. 1219 00:56:08,482 --> 00:56:12,410 AUDIENCE: So [INAUDIBLE] 1220 00:56:12,410 --> 00:56:14,865 so she suggested [INAUDIBLE] 1221 00:56:14,865 --> 00:56:16,115 or [INAUDIBLE]. 1222 00:56:24,220 --> 00:56:29,650 PROFESSOR: OK, so it's not visual. 1223 00:56:29,650 --> 00:56:32,040 A pie chart, or a histogram, or something would help you 1224 00:56:32,040 --> 00:56:33,430 see much more. 1225 00:56:33,430 --> 00:56:36,910 So that's one of our principles, right, that your 1226 00:56:36,910 --> 00:56:40,130 perceptual system is so much smarter than your symbolic 1227 00:56:40,130 --> 00:56:42,010 processing system. 1228 00:56:42,010 --> 00:56:44,620 So you're actually slowing everyone down, and making them 1229 00:56:44,620 --> 00:56:47,890 much dumber, by forcing them to try to extract-- 1230 00:56:47,890 --> 00:56:50,390 basically build a mental picture which you 1231 00:56:50,390 --> 00:56:52,030 could build for them. 1232 00:56:52,030 --> 00:56:53,503 Yes. 1233 00:56:53,503 --> 00:56:56,290 AUDIENCE: I'd say there's too much. 1234 00:56:56,290 --> 00:56:57,540 PROFESSOR: Too much. 1235 00:56:59,990 --> 00:57:03,360 So what do you think is too much? 1236 00:57:03,360 --> 00:57:07,443 AUDIENCE: All at once, you're getting lots of text, and it's 1237 00:57:07,443 --> 00:57:09,120 all these different things. 1238 00:57:09,120 --> 00:57:10,080 Too much [? given ?]. 1239 00:57:10,080 --> 00:57:11,920 PROFESSOR: Yeah, it's too many chunks. 1240 00:57:11,920 --> 00:57:13,295 It just overloads you. 1241 00:57:13,295 --> 00:57:17,070 You don't relate it to the lack of messages. 1242 00:57:17,070 --> 00:57:18,690 If there are messages in there, there 1243 00:57:18,690 --> 00:57:19,690 are too many messages. 1244 00:57:19,690 --> 00:57:22,360 You don't know what's important, and what to pay 1245 00:57:22,360 --> 00:57:24,960 attention to. 1246 00:57:24,960 --> 00:57:25,980 Other problems? 1247 00:57:25,980 --> 00:57:26,450 Yes. 1248 00:57:26,450 --> 00:57:28,500 AUDIENCE: Format switches midstream. 1249 00:57:28,500 --> 00:57:29,470 PROFESSOR: Where? 1250 00:57:29,470 --> 00:57:31,300 AUDIENCE: At the bottom, the last question. 1251 00:57:31,300 --> 00:57:32,020 PROFESSOR: Oh yeah. 1252 00:57:32,020 --> 00:57:33,300 You're right. 1253 00:57:33,300 --> 00:57:36,814 OK So the format. 1254 00:57:36,814 --> 00:57:38,064 AUDIENCE: [INAUDIBLE]. 1255 00:57:39,950 --> 00:57:40,250 PROFESSOR: Right. 1256 00:57:40,250 --> 00:57:41,980 It's sort of related to too much. 1257 00:57:41,980 --> 00:57:44,350 Right, I tried to put too much on my slide, and I really 1258 00:57:44,350 --> 00:57:45,600 tried, really hard. 1259 00:57:52,170 --> 00:57:54,850 So the format changes at the end, right, so they could fit 1260 00:57:54,850 --> 00:57:57,691 everything onto one slide. 1261 00:57:57,691 --> 00:57:58,188 Yes. 1262 00:57:58,188 --> 00:58:03,655 AUDIENCE: Extraneous use of bullets, colons, [INAUDIBLE]. 1263 00:58:03,655 --> 00:58:04,905 Not helping. 1264 00:58:07,640 --> 00:58:09,520 PROFESSOR: So a random use of colons and bullets. 1265 00:58:14,920 --> 00:58:19,000 And it's not clear how those actually help. 1266 00:58:19,000 --> 00:58:19,500 Other problems. 1267 00:58:19,500 --> 00:58:19,880 Yeah. 1268 00:58:19,880 --> 00:58:21,680 AUDIENCE: Is that all bold? 1269 00:58:21,680 --> 00:58:22,890 PROFESSOR: Yeah. 1270 00:58:22,890 --> 00:58:24,180 I think it is all bold. 1271 00:58:24,180 --> 00:58:27,500 So everything's equally emphasized. 1272 00:58:27,500 --> 00:58:28,750 So all bold. 1273 00:58:33,170 --> 00:58:36,610 So again, it's presenting all the information, right? 1274 00:58:36,610 --> 00:58:39,090 It's just you don't know what's important-- what's the 1275 00:58:39,090 --> 00:58:41,768 "so what." Yep. 1276 00:58:41,768 --> 00:58:45,177 AUDIENCE: The numbers are very far away from the text, so by 1277 00:58:45,177 --> 00:58:47,125 the time you get over there, you don't know. 1278 00:58:54,440 --> 00:58:57,000 PROFESSOR: Right, it's sort of like a table of contents. 1279 00:58:57,000 --> 00:58:58,950 And that's OK, for a table of contents. 1280 00:58:58,950 --> 00:59:01,470 It's not ideal, but there are ways of doing table of 1281 00:59:01,470 --> 00:59:02,390 contents that don't have that problem. 1282 00:59:02,390 --> 00:59:04,140 For a table of contents it's OK. 1283 00:59:04,140 --> 00:59:07,010 You don't need to sort of get the entire table 1284 00:59:07,010 --> 00:59:08,290 at a glance, right? 1285 00:59:08,290 --> 00:59:10,430 You just want to know where chapter five begins, and you 1286 00:59:10,430 --> 00:59:12,450 just scan across, and you go there. 1287 00:59:12,450 --> 00:59:14,530 Whereas here, you can't match the things. 1288 00:59:14,530 --> 00:59:16,440 You want to try to match it all together, and you can't, 1289 00:59:16,440 --> 00:59:20,990 because the numbers are so far away from the text. 1290 00:59:20,990 --> 00:59:23,880 AUDIENCE: I don't know what PI means. 1291 00:59:23,880 --> 00:59:25,120 PROFESSOR: Sorry, that was my fault, too. 1292 00:59:25,120 --> 00:59:26,210 I just tried to shift it. 1293 00:59:26,210 --> 00:59:28,430 Peer instruction. 1294 00:59:28,430 --> 00:59:31,090 Yeah, you're right, so there's a lot of use of acronyms. 1295 00:59:35,980 --> 00:59:40,880 Yeah, so the JIT, and the PI were my contributions to it. 1296 00:59:40,880 --> 00:59:42,100 So maybe I made it a little bit worse. 1297 00:59:42,100 --> 00:59:42,340 Yeah. 1298 00:59:42,340 --> 00:59:44,288 AUDIENCE: So how would you do this on the blackboard, 1299 00:59:44,288 --> 00:59:47,620 instead, if you had a chance? 1300 00:59:47,620 --> 00:59:49,000 PROFESSOR: So this one, actually, if I were going to 1301 00:59:49,000 --> 00:59:52,240 present this, I would either draw the thing I'm about to 1302 00:59:52,240 --> 00:59:55,850 show you, or I would use a slide for it. 1303 00:59:55,850 --> 00:59:56,470 Either way. 1304 00:59:56,470 --> 00:59:59,470 AUDIENCE: A slide with what? 1305 00:59:59,470 --> 01:00:02,200 PROFESSOR: I'll show you what the redrawn slide is. 1306 01:00:02,200 --> 01:00:04,660 OK, so now let's redraw the slide. 1307 01:00:04,660 --> 01:00:06,225 So I think the slide that I redrew-- 1308 01:00:06,225 --> 01:00:07,460 I'll show it to you-- 1309 01:00:07,460 --> 01:00:09,340 basically answers most of these objections, 1310 01:00:09,340 --> 01:00:10,160 though maybe not all. 1311 01:00:10,160 --> 01:00:12,320 I think most of them. 1312 01:00:12,320 --> 01:00:15,640 So what I'm going to show you is what Michael Alley calls 1313 01:00:15,640 --> 01:00:20,790 the Assertion-Evidence design for slides. 1314 01:00:20,790 --> 01:00:22,505 So Michael Alley, I'll write his name down. 1315 01:00:36,680 --> 01:00:40,640 So Michael Alley, and his book is called The Craft of 1316 01:00:40,640 --> 01:00:45,038 Scientific Presentation, I think. 1317 01:01:02,000 --> 01:01:03,970 And this is to get around many of these problems. 1318 01:01:03,970 --> 01:01:06,700 So the idea is, first of all, so related to what Jean-luc 1319 01:01:06,700 --> 01:01:11,890 says, talking about messages versus information, each slide 1320 01:01:11,890 --> 01:01:13,720 should have one message-- 1321 01:01:13,720 --> 01:01:14,800 one assertion. 1322 01:01:14,800 --> 01:01:18,360 So that's the assertion part of the slide. 1323 01:01:18,360 --> 01:01:22,210 And the body of the slide is the evidence. 1324 01:01:22,210 --> 01:01:25,610 And it should ideally be visual evidence, because of 1325 01:01:25,610 --> 01:01:28,760 all the reasons we talked about for visual evidence. 1326 01:01:28,760 --> 01:01:31,750 So here is an example of that. 1327 01:01:31,750 --> 01:01:33,000 There. 1328 01:01:40,860 --> 01:01:42,350 Is this the entire slide? 1329 01:01:42,350 --> 01:01:43,430 No. 1330 01:01:43,430 --> 01:01:47,570 This is just one, basically, third of it. 1331 01:01:47,570 --> 01:01:51,000 But you can redraw the rest of the slide, with two more 1332 01:01:51,000 --> 01:01:53,380 slides, this way. 1333 01:01:53,380 --> 01:01:56,070 So this is one slide, with one message-- 1334 01:01:56,070 --> 01:01:59,360 most students like in-class concept tests. 1335 01:01:59,360 --> 01:02:01,860 If that's the point you're trying to make. 1336 01:02:01,860 --> 01:02:03,450 The problem is, it's hard to redraw 1337 01:02:03,450 --> 01:02:05,280 slides with no messages. 1338 01:02:05,280 --> 01:02:07,300 Because you don't actually know what the message was, so 1339 01:02:07,300 --> 01:02:09,290 you have to sort of infer it. 1340 01:02:09,290 --> 01:02:12,680 But hopefully the author could actually infer it, and redraw 1341 01:02:12,680 --> 01:02:14,050 it themself. 1342 01:02:14,050 --> 01:02:16,320 So here you have to play author, and 1343 01:02:16,320 --> 01:02:17,410 I guessed the message-- 1344 01:02:17,410 --> 01:02:19,500 most students like in-class concept tests. 1345 01:02:22,920 --> 01:02:25,670 The presentation is here, with a pie chart. 1346 01:02:25,670 --> 01:02:31,130 And you notice all of the tags, the "I like them", the 1347 01:02:31,130 --> 01:02:33,750 "please skip them," "I dislike them." They're all right next 1348 01:02:33,750 --> 01:02:35,200 to their percentages. 1349 01:02:35,200 --> 01:02:38,910 And then, what's color used for? 1350 01:02:38,910 --> 01:02:43,810 There, color is used to emphasize the like. 1351 01:02:43,810 --> 01:02:46,430 So the green, and the light green, are both 1352 01:02:46,430 --> 01:02:48,770 categories of like. 1353 01:02:48,770 --> 01:02:51,330 As asserted by the author. 1354 01:02:51,330 --> 01:02:55,640 I mean, you could say, well, no "enjoy and learn from them" 1355 01:02:55,640 --> 01:02:59,480 is the only category that matters, "like" isn't strong 1356 01:02:59,480 --> 01:03:01,630 enough, or really you shouldn't lump them together. 1357 01:03:01,630 --> 01:03:02,630 You can have those debates. 1358 01:03:02,630 --> 01:03:04,270 But what the author-- 1359 01:03:04,270 --> 01:03:06,790 the teacher-- is trying to say, is that most 1360 01:03:06,790 --> 01:03:07,980 students like them. 1361 01:03:07,980 --> 01:03:10,390 And you can see it just at a glance, because most of the 1362 01:03:10,390 --> 01:03:11,640 pie chart is colored in. 1363 01:03:14,570 --> 01:03:18,860 So this solves most of the problems. 1364 01:03:18,860 --> 01:03:24,045 First of all, you don't have the ghastly typesetting that 1365 01:03:24,045 --> 01:03:25,580 you have here. 1366 01:03:25,580 --> 01:03:27,490 The typesetting here is just horrendous, this is sort of 1367 01:03:27,490 --> 01:03:29,780 typical PowerPoint typesetting. 1368 01:03:29,780 --> 01:03:32,160 The alignment is nonexistent. 1369 01:03:32,160 --> 01:03:35,140 There's random alignment lines everywhere. 1370 01:03:35,140 --> 01:03:38,560 If you look, for example, at the way top, the yellow bar 1371 01:03:38,560 --> 01:03:40,020 doesn't align with anything else. 1372 01:03:40,020 --> 01:03:42,100 The left edge of it just doesn't 1373 01:03:42,100 --> 01:03:43,500 align with the bullets. 1374 01:03:43,500 --> 01:03:46,590 The open bullets are just random. 1375 01:03:46,590 --> 01:03:49,210 It's just a big mess, as you pointed out. 1376 01:03:49,210 --> 01:03:52,630 So here, just get rid of all that. 1377 01:03:52,630 --> 01:03:54,910 And you can do this with any program. 1378 01:03:54,910 --> 01:03:57,160 You can make your figure however you want. 1379 01:03:57,160 --> 01:04:00,240 You can put one assertion at the top. 1380 01:04:00,240 --> 01:04:03,430 So now assertion, another synonym for that is "sentence 1381 01:04:03,430 --> 01:04:06,730 headlines." So you want your title of your 1382 01:04:06,730 --> 01:04:08,485 slide to be a sentence. 1383 01:04:08,485 --> 01:04:10,630 If you're not writing a sentence, you're probably 1384 01:04:10,630 --> 01:04:11,800 writing a topic. 1385 01:04:11,800 --> 01:04:13,710 You're just mentioning something-- you're giving them 1386 01:04:13,710 --> 01:04:16,900 "what." To give "so what," you really need a sentence. 1387 01:04:16,900 --> 01:04:20,080 So fit a sentence of one or two lines there, and then, 1388 01:04:20,080 --> 01:04:22,996 give visual evidence. 1389 01:04:22,996 --> 01:04:23,984 Yes. 1390 01:04:23,984 --> 01:04:26,701 AUDIENCE: To sort of play devil's advocate, I mean, I 1391 01:04:26,701 --> 01:04:30,587 agree [INAUDIBLE], but the advantage of having all the 1392 01:04:30,587 --> 01:04:32,824 information on one slide is you can see the different 1393 01:04:32,824 --> 01:04:35,970 things, and see the different conclusions. 1394 01:04:35,970 --> 01:04:37,450 PROFESSOR: If you could actually see them. 1395 01:04:37,450 --> 01:04:39,080 The problem is, you can't actually see all the 1396 01:04:39,080 --> 01:04:39,960 conclusions. 1397 01:04:39,960 --> 01:04:43,970 I agree it's nice to see all the conclusions at once. 1398 01:04:43,970 --> 01:04:46,910 So to do that, what I would do is, I would make-- 1399 01:04:46,910 --> 01:04:49,820 I think there are really three messages here-- 1400 01:04:49,820 --> 01:04:51,380 one for each of the questions. 1401 01:04:51,380 --> 01:04:55,120 So I made a slide for the first one, which is about the 1402 01:04:55,120 --> 01:04:56,280 concept test. 1403 01:04:56,280 --> 01:04:59,500 You'd make another slide for the Just in Time learning, 1404 01:04:59,500 --> 01:05:02,260 another one for, do lectures cover too much material. 1405 01:05:02,260 --> 01:05:03,220 So now you have three. 1406 01:05:03,220 --> 01:05:08,060 And now, basically you want an overall message of, overall 1407 01:05:08,060 --> 01:05:10,730 these instructional changes were well liked. 1408 01:05:10,730 --> 01:05:13,130 Then you could have one summary slide, which just 1409 01:05:13,130 --> 01:05:14,850 lists those three points. 1410 01:05:14,850 --> 01:05:17,410 And with maybe three small pie charts, to remind people of 1411 01:05:17,410 --> 01:05:19,540 each pie chart, to fit it all together. 1412 01:05:19,540 --> 01:05:23,210 But to try to pull it out of that, the people won't 1413 01:05:23,210 --> 01:05:25,800 actually get the three messages. 1414 01:05:25,800 --> 01:05:28,050 So you have to guide them towards it. 1415 01:05:28,050 --> 01:05:30,310 Hopefully you can use this for your seminars as well, not 1416 01:05:30,310 --> 01:05:32,020 just for your teaching. 1417 01:05:32,020 --> 01:05:34,310 This works for teaching, as well seminars. 1418 01:05:34,310 --> 01:05:36,800 Now, how would you actually put this into practice, in a 1419 01:05:36,800 --> 01:05:37,860 teaching example? 1420 01:05:37,860 --> 01:05:40,970 So that's what comes up next. 1421 01:05:40,970 --> 01:05:44,500 I'll show you a mathematical example, which you could do on 1422 01:05:44,500 --> 01:05:48,850 the blackboard, or I sort of optimized it so you could do 1423 01:05:48,850 --> 01:05:50,250 it on slides too. 1424 01:05:50,250 --> 01:05:52,640 And we can see how that goes. 1425 01:05:52,640 --> 01:05:56,040 OK, so here is just the comparison, side by side, of 1426 01:05:56,040 --> 01:05:57,770 the two slides. 1427 01:05:57,770 --> 01:05:58,840 Just at a glance. 1428 01:05:58,840 --> 01:06:00,520 I don't actually mean for people to be able to read the 1429 01:06:00,520 --> 01:06:04,140 words, just to see that one has enough information that 1430 01:06:04,140 --> 01:06:07,160 you can get a point, but doesn't overload you, and the 1431 01:06:07,160 --> 01:06:09,770 other is just a rat's nest. 1432 01:06:09,770 --> 01:06:11,950 OK, so then the mathematical example-- 1433 01:06:11,950 --> 01:06:14,000 actually, a statistical mechanics example as well-- 1434 01:06:17,450 --> 01:06:19,880 is the log of n factorial. 1435 01:06:19,880 --> 01:06:21,250 So we're going to approximate the log of n 1436 01:06:21,250 --> 01:06:24,230 factorial using pictures. 1437 01:06:24,230 --> 01:06:25,780 Now why n factorial? 1438 01:06:25,780 --> 01:06:27,010 Well, what is n factorial? 1439 01:06:27,010 --> 01:06:30,270 5 factorial is 5 times 4 times 3 times 2 times 1. 1440 01:06:30,270 --> 01:06:31,660 Why do we care about it? 1441 01:06:31,660 --> 01:06:33,610 It's the most important function in statistical 1442 01:06:33,610 --> 01:06:35,620 mechanics when you're counting objects. 1443 01:06:35,620 --> 01:06:39,200 And it shows up in probability theory all the time. 1444 01:06:39,200 --> 01:06:41,330 And statistical mechanics has a lot of 1445 01:06:41,330 --> 01:06:43,090 particles, so the n is big. 1446 01:06:43,090 --> 01:06:45,700 So we'd like to approximate how big n factorial is, 1447 01:06:45,700 --> 01:06:47,810 because it's so big we take the logarithm. 1448 01:06:47,810 --> 01:06:49,680 OK, let's see if we can approximate the logarithm 1449 01:06:49,680 --> 01:06:50,930 using pictures. 1450 01:06:54,630 --> 01:06:59,300 So log of n factorial is the area of those rectangles. 1451 01:06:59,300 --> 01:07:05,014 You can see rectangle for log 2, log 3, log 4, log 5, 1452 01:07:05,014 --> 01:07:07,010 log 6, and log 7. 1453 01:07:07,010 --> 01:07:14,020 And log of n factorial is just the sum of all of those. 1454 01:07:14,020 --> 01:07:18,220 Say, 3 factorial is 3 times 2 times 1, so log of 3 factorial 1455 01:07:18,220 --> 01:07:21,932 is log of 3, plus log of 2, plus log of 1. 1456 01:07:21,932 --> 01:07:24,690 Log of 1 is 0, so all you have left is those 1457 01:07:24,690 --> 01:07:26,580 rectangles to add up. 1458 01:07:26,580 --> 01:07:28,665 OK, so now let's add them up, approximately. 1459 01:07:31,370 --> 01:07:35,550 So the area under the curve is your first approximation. 1460 01:07:35,550 --> 01:07:38,220 So the curve is just log k. 1461 01:07:38,220 --> 01:07:39,070 So let's see what that is. 1462 01:07:39,070 --> 01:07:42,140 Well, OK, that's just the integral of log k from 1 to n, 1463 01:07:42,140 --> 01:07:44,610 from the lower limit to the upper limit. 1464 01:07:44,610 --> 01:07:46,880 So that we can just do symbolically, you get n log n 1465 01:07:46,880 --> 01:07:49,370 minus n plus 1. 1466 01:07:49,370 --> 01:07:50,830 OK, now the error. 1467 01:07:50,830 --> 01:07:52,140 Where does the error come from? 1468 01:07:52,140 --> 01:07:55,770 Well, it comes from the protrusions 1469 01:07:55,770 --> 01:07:57,830 beyond the log n curve. 1470 01:08:00,470 --> 01:08:02,780 So there you have the protrusions. 1471 01:08:02,780 --> 01:08:05,010 so we'd like to add up all those protrusions. 1472 01:08:05,010 --> 01:08:06,400 Well, how are we going to do that? 1473 01:08:09,200 --> 01:08:12,080 Each piece is almost a triangle. 1474 01:08:12,080 --> 01:08:15,720 So let's just straighten out each little piece of log k 1475 01:08:15,720 --> 01:08:16,974 curve, and make triangles. 1476 01:08:19,660 --> 01:08:23,229 And now, it turns out they're much easier to add up if you 1477 01:08:23,229 --> 01:08:27,850 double them, and make every triangle into a rectangle. 1478 01:08:27,850 --> 01:08:30,510 OK, so now I'm going to stop here, and see if you can 1479 01:08:30,510 --> 01:08:32,600 figure out how to add up all of those pieces. 1480 01:08:32,600 --> 01:08:36,189 What's the sum of all of those shaded regions? 1481 01:08:36,189 --> 01:08:37,950 Take a minute and check with your neighbor. 1482 01:08:41,729 --> 01:08:43,750 OK, when you see it, raise your hand. 1483 01:08:50,670 --> 01:08:54,060 Find someone around who sees it, if you haven't seen it, 1484 01:08:54,060 --> 01:08:56,220 and check with them. 1485 01:08:56,220 --> 01:08:57,680 Because it is fun to see. 1486 01:08:57,680 --> 01:08:59,170 I don't want to spoil it unnecessarily. 1487 01:09:05,520 --> 01:09:06,770 Here's a little hint. 1488 01:09:09,800 --> 01:09:14,029 So what you do, is you hold your hand at the right page, 1489 01:09:14,029 --> 01:09:16,779 and you whack all of the rectangles, and they slide 1490 01:09:16,779 --> 01:09:21,510 across, and go psssssh, and stack, and form the last one. 1491 01:09:21,510 --> 01:09:24,670 So that means the sum of all the corrections, times 2, is 1492 01:09:24,670 --> 01:09:26,149 the last rectangle. 1493 01:09:26,149 --> 01:09:31,979 So log 7, or log n, is twice your error, roughly. 1494 01:09:31,979 --> 01:09:34,479 So now you just combine the integral, which is the piece 1495 01:09:34,479 --> 01:09:38,090 under the curve, with the approximated protrusion, and 1496 01:09:38,090 --> 01:09:40,910 you get that for log of n factorial. 1497 01:09:40,910 --> 01:09:41,779 So let's see. 1498 01:09:41,779 --> 01:09:44,689 So that is actually very close to Stirling's formula. 1499 01:09:44,689 --> 01:09:45,670 Let's see how close it is. 1500 01:09:45,670 --> 01:09:47,399 Well where's the error? 1501 01:09:47,399 --> 01:09:51,130 Well, the error comes from when we straightened out the 1502 01:09:51,130 --> 01:09:55,550 pieces of the log k curve, and made triangles instead of the 1503 01:09:55,550 --> 01:09:56,900 funny-shaped region. 1504 01:09:56,900 --> 01:10:00,990 So the error is those shaded guys, which is not very big. 1505 01:10:00,990 --> 01:10:03,120 And most of the error happens low down, so if you just 1506 01:10:03,120 --> 01:10:05,640 corrected for that, pretty much it would all go So here 1507 01:10:05,640 --> 01:10:06,920 is the total error. 1508 01:10:06,920 --> 01:10:08,690 Here's an example. 1509 01:10:08,690 --> 01:10:13,930 The picture method, so we get 7 factorial, gives you 8.594. 1510 01:10:13,930 --> 01:10:18,030 The exact answer for the logs of 7 factorial, 8.525. 1511 01:10:18,030 --> 01:10:20,390 So it's an error only 0.07. 1512 01:10:20,390 --> 01:10:25,040 So all of this just adds up to 0.07. 1513 01:10:25,040 --> 01:10:30,480 Which ends up being a 7% error in seven factorial. 1514 01:10:30,480 --> 01:10:34,730 So the moral of the story is that pictures can help you 1515 01:10:34,730 --> 01:10:37,830 approximate log of n factorial, and here is your 1516 01:10:37,830 --> 01:10:40,060 approximation. 1517 01:10:40,060 --> 01:10:42,930 So one of the most important functions 1518 01:10:42,930 --> 01:10:46,080 in statistical mechanics. 1519 01:10:46,080 --> 01:10:49,840 95% with pictures, and one tiny integral. 1520 01:10:49,840 --> 01:10:52,820 OK, now. 1521 01:10:52,820 --> 01:10:56,190 That's an example or something you could do if you wanted to 1522 01:10:56,190 --> 01:10:57,520 teach it using slides. 1523 01:10:57,520 --> 01:10:59,730 You could easily do that on the blackboard, and normally I 1524 01:10:59,730 --> 01:11:00,780 teach it on the blackboard. 1525 01:11:00,780 --> 01:11:04,220 But I made this as an exercise for myself to say, OK, well 1526 01:11:04,220 --> 01:11:06,900 suppose I have to teach it with slides, what would I do? 1527 01:11:06,900 --> 01:11:08,150 And you notice here. 1528 01:11:11,440 --> 01:11:19,590 So when I first drafted it, this slide was missing. 1529 01:11:19,590 --> 01:11:24,880 And I went from here to there directly. 1530 01:11:24,880 --> 01:11:27,810 And then I thought, oh, actually-- 1531 01:11:27,810 --> 01:11:29,810 so this is about the interactivity question-- 1532 01:11:29,810 --> 01:11:32,130 oh, actually I'm depriving people of a chance to think 1533 01:11:32,130 --> 01:11:34,000 about something, and realize it. 1534 01:11:34,000 --> 01:11:36,290 On the board, it's really easy to pause. 1535 01:11:36,290 --> 01:11:39,530 You just put the picture up, and you wait. 1536 01:11:39,530 --> 01:11:40,940 And you say, OK, what do you think? 1537 01:11:40,940 --> 01:11:42,380 And then you start drawing stuff. 1538 01:11:42,380 --> 01:11:44,660 So I thought, OK, well you can actually simulate that on 1539 01:11:44,660 --> 01:11:45,380 slides, too. 1540 01:11:45,380 --> 01:11:48,470 So I put the intervening slide in there, so that people had a 1541 01:11:48,470 --> 01:11:53,880 chance to stop here, and think about the result before we 1542 01:11:53,880 --> 01:11:57,620 continued on to the solution, where it adds 1543 01:11:57,620 --> 01:11:59,930 up to the last guy. 1544 01:11:59,930 --> 01:12:05,800 So that's an example of basically somewhat interactive 1545 01:12:05,800 --> 01:12:07,510 slide teaching of a mathematical idea. 1546 01:12:07,510 --> 01:12:07,920 Yes. 1547 01:12:07,920 --> 01:12:11,000 AUDIENCE: So why didn't you animate a slide [INAUDIBLE] 1548 01:12:11,000 --> 01:12:12,632 with boxes to take advantage? 1549 01:12:12,632 --> 01:12:14,380 PROFESSOR: That's a good question. 1550 01:12:14,380 --> 01:12:15,230 Why didn't I? 1551 01:12:15,230 --> 01:12:18,740 Actually, because, A, I didn't think of it, 1552 01:12:18,740 --> 01:12:19,990 but it's a good idea. 1553 01:12:25,780 --> 01:12:27,060 I should have probably done it. 1554 01:12:27,060 --> 01:12:30,640 The problem is that I'm showing it as a PDF file, 1555 01:12:30,640 --> 01:12:32,890 rather than through any program. 1556 01:12:32,890 --> 01:12:35,090 So PDF animations-- 1557 01:12:35,090 --> 01:12:37,910 I don't know if PDF has animations in it. 1558 01:12:37,910 --> 01:12:39,110 It probably doesn't. 1559 01:12:39,110 --> 01:12:40,110 AUDIENCE: [INAUDIBLE]. 1560 01:12:40,110 --> 01:12:42,510 PROFESSOR: Yes, that's true, it's sort of against the 1561 01:12:42,510 --> 01:12:45,312 purpose of PDF, which is a stable format. 1562 01:12:45,312 --> 01:12:46,728 Yes. 1563 01:12:46,728 --> 01:12:48,852 AUDIENCE: I actually thought this entire presentation was 1564 01:12:48,852 --> 01:12:51,838 really clear, and would be just as good as if you did it 1565 01:12:51,838 --> 01:12:52,392 on a blackboard. 1566 01:12:52,392 --> 01:12:58,609 Because it was interactive, slow, had pacing, the suspense 1567 01:12:58,609 --> 01:13:00,517 of having us ask the questions. 1568 01:13:00,517 --> 01:13:03,598 So I think one of the major reasons why I would be opposed 1569 01:13:03,598 --> 01:13:06,088 [? to teaching ?] in this way, is just because it takes you 1570 01:13:06,088 --> 01:13:08,578 more time to create the slide. 1571 01:13:08,578 --> 01:13:10,902 From my own experience, it takes a long time to make 1572 01:13:10,902 --> 01:13:12,562 really good slides, just fiddling around with 1573 01:13:12,562 --> 01:13:13,558 [INAUDIBLE]. 1574 01:13:13,558 --> 01:13:16,712 So I think if you could spend all the energy we're spending 1575 01:13:16,712 --> 01:13:18,040 on slides instead on [INAUDIBLE]-- 1576 01:13:18,040 --> 01:13:18,550 PROFESSOR: That's a good point. 1577 01:13:18,550 --> 01:13:20,036 AUDIENCE: --or whatever, I think that might be 1578 01:13:20,036 --> 01:13:22,370 [INAUDIBLE]. 1579 01:13:22,370 --> 01:13:24,120 PROFESSOR: I think that is a really good point. 1580 01:13:24,120 --> 01:13:26,400 And I hadn't thought of it until you mentioned it, but 1581 01:13:26,400 --> 01:13:27,700 you're right. 1582 01:13:27,700 --> 01:13:30,780 It took me a long time to make the slides right. 1583 01:13:30,780 --> 01:13:34,510 To do slides well, you have to really think about the visual 1584 01:13:34,510 --> 01:13:36,290 presentation, make everything visual, you're 1585 01:13:36,290 --> 01:13:39,090 making a lot of diagrams. 1586 01:13:39,090 --> 01:13:40,520 There's all kinds of little tweaks. 1587 01:13:40,520 --> 01:13:43,370 Like, I made sure that all the diagrams are exactly the same 1588 01:13:43,370 --> 01:13:45,810 size, so that when you flip from slide to slide, you don't 1589 01:13:45,810 --> 01:13:47,840 get a shift. 1590 01:13:47,840 --> 01:13:49,770 So all those things, you don't have to worry about on the 1591 01:13:49,770 --> 01:13:50,550 chalkboard. 1592 01:13:50,550 --> 01:13:53,530 And yes, I would advise people, just as you do, to 1593 01:13:53,530 --> 01:13:56,380 spend that time thinking about your teaching, and where 1594 01:13:56,380 --> 01:13:57,980 you're going to put the interactivity in. 1595 01:13:57,980 --> 01:13:59,070 And do it on the blackboard. 1596 01:13:59,070 --> 01:14:01,230 So this is something where, with a lot of effort, the 1597 01:14:01,230 --> 01:14:03,750 slide reaches to the level of the blackboard. 1598 01:14:03,750 --> 01:14:06,320 But with colored chalk, and lots of blackboard, the 1599 01:14:06,320 --> 01:14:10,200 blackboard is just as good, and quicker. 1600 01:14:10,200 --> 01:14:13,450 And the blackboard has the advantage that this could be 1601 01:14:13,450 --> 01:14:15,160 two blackboards in your class. 1602 01:14:15,160 --> 01:14:18,750 Say it's a class about visual representations, and you have 1603 01:14:18,750 --> 01:14:20,920 two blackboards for this thing. 1604 01:14:20,920 --> 01:14:23,800 The middle two blackboards for yet another example, the end 1605 01:14:23,800 --> 01:14:25,240 two blackboards for yet another example. 1606 01:14:25,240 --> 01:14:26,846 And you have all of them at once. 1607 01:14:26,846 --> 01:14:27,332 Yes. 1608 01:14:27,332 --> 01:14:32,020 AUDIENCE: Last time I taught a class where I used all slides, 1609 01:14:32,020 --> 01:14:34,395 and when I put the amount of time that, things like you put 1610 01:14:34,395 --> 01:14:37,186 into this, to make them all so they perfectly line up, and 1611 01:14:37,186 --> 01:14:39,270 the animations were really helpful and everything, just 1612 01:14:39,270 --> 01:14:41,270 creating the slides probably took half the overall time 1613 01:14:41,270 --> 01:14:43,020 that I put into the class. 1614 01:14:43,020 --> 01:14:45,852 But I think the one advantage was I was able to use 1615 01:14:45,852 --> 01:14:49,020 printouts of those handouts as class notes. 1616 01:14:49,020 --> 01:14:50,520 Which I handed out after the class. 1617 01:14:50,520 --> 01:14:51,520 They didn't have them during class. 1618 01:14:51,520 --> 01:14:55,280 So that's the only advantage, is you can reuse all of these 1619 01:14:55,280 --> 01:14:56,430 [INAUDIBLE]. 1620 01:14:56,430 --> 01:14:57,520 PROFESSOR: And that's exactly true. 1621 01:14:57,520 --> 01:15:02,180 So all these nice figures, we did it for this class, and for 1622 01:15:02,180 --> 01:15:04,250 a seminar on making slides. 1623 01:15:04,250 --> 01:15:07,260 And then I used them verbatim in my Street-Fighting 1624 01:15:07,260 --> 01:15:08,720 Mathematics textbook. 1625 01:15:08,720 --> 01:15:11,210 So basically, to make good slides requires making 1626 01:15:11,210 --> 01:15:13,500 something pretty much publication quality. 1627 01:15:13,500 --> 01:15:15,060 And then, you do have something publication quality, 1628 01:15:15,060 --> 01:15:17,050 but maybe the first time you teach it, that's not where you 1629 01:15:17,050 --> 01:15:19,360 want to be spending your time. 1630 01:15:19,360 --> 01:15:21,370 There was one other point that was raised in an email 1631 01:15:21,370 --> 01:15:24,460 beforehand, which is, in Jean-luc's paper, he mentioned 1632 01:15:24,460 --> 01:15:28,430 that he uses less popular alternatives to the Microsoft 1633 01:15:28,430 --> 01:15:30,570 software for making slides. 1634 01:15:30,570 --> 01:15:33,390 So, yeah, I highly do not recommend using Microsoft 1635 01:15:33,390 --> 01:15:37,160 software, because it's not free software. 1636 01:15:37,160 --> 01:15:40,840 And it's, I think, unethical to use non-free software. 1637 01:15:40,840 --> 01:15:43,130 Free software meaning freely licensed, so you change the 1638 01:15:43,130 --> 01:15:45,480 source code, view the source code, make your own versions, 1639 01:15:45,480 --> 01:15:46,340 do whatever you want. 1640 01:15:46,340 --> 01:15:47,440 And it's none of that. 1641 01:15:47,440 --> 01:15:50,220 Second, it's all proprietary formats. 1642 01:15:50,220 --> 01:15:51,590 So you're encouraging other people to 1643 01:15:51,590 --> 01:15:53,490 use proprietary formats. 1644 01:15:53,490 --> 01:15:57,480 No one has fully debugged, and decoded, all the formats that 1645 01:15:57,480 --> 01:15:58,660 Microsoft uses. 1646 01:15:58,660 --> 01:16:01,360 So you should use open formats at least. 1647 01:16:01,360 --> 01:16:03,270 Now, you could use Open Office, but the problem is 1648 01:16:03,270 --> 01:16:06,960 Open Office, the whole model of the way it does slides is 1649 01:16:06,960 --> 01:16:09,510 kind of yuck, because it's just copied from 1650 01:16:09,510 --> 01:16:10,460 the Microsoft way. 1651 01:16:10,460 --> 01:16:11,870 So actually I prefer-- 1652 01:16:11,870 --> 01:16:14,520 maybe it's because of my computer science math 1653 01:16:14,520 --> 01:16:15,140 background-- 1654 01:16:15,140 --> 01:16:19,360 what I prefer is to program all the slides. 1655 01:16:19,360 --> 01:16:21,780 So let's see. 1656 01:16:21,780 --> 01:16:23,510 [? Log.tech. ?] 1657 01:16:23,510 --> 01:16:24,860 Where are the-- yeah. 1658 01:16:24,860 --> 01:16:26,540 OK. 1659 01:16:26,540 --> 01:16:30,850 So I actually write in [? Tech, ?] or version of 1660 01:16:30,850 --> 01:16:31,850 [? Tech. ?] 1661 01:16:31,850 --> 01:16:34,030 And here is your title of the slide. 1662 01:16:34,030 --> 01:16:36,102 And I can change the formatting later. 1663 01:16:36,102 --> 01:16:38,250 AUDIENCE: Maybe that's what took you so long. 1664 01:16:38,250 --> 01:16:39,960 PROFESSOR: Maybe. 1665 01:16:39,960 --> 01:16:40,350 Maybe. 1666 01:16:40,350 --> 01:16:41,380 But the thing is, you can't make 1667 01:16:41,380 --> 01:16:44,170 publication-quality stuff otherwise. 1668 01:16:44,170 --> 01:16:46,240 So if you're going to actually do a good slide, basically you 1669 01:16:46,240 --> 01:16:47,270 want to do that. 1670 01:16:47,270 --> 01:16:49,190 Otherwise, I don't think people should bother. 1671 01:16:49,190 --> 01:16:51,776 And mathematical typesetting is just ghastly unless you use 1672 01:16:51,776 --> 01:16:51,870 [? Tech ?]. 1673 01:16:51,870 --> 01:16:53,070 AUDIENCE: [INAUDIBLE]. 1674 01:16:53,070 --> 01:16:55,110 PROFESSOR: Oh. 1675 01:16:55,110 --> 01:16:57,270 And I don't think you can make it look as nice. 1676 01:16:57,270 --> 01:16:59,380 And I'm speaking here about Open Office, and it's probably 1677 01:16:59,380 --> 01:17:03,530 a clone of rubbish that it replaces. 1678 01:17:03,530 --> 01:17:06,310 The mathematical typesetting is just not as good. 1679 01:17:06,310 --> 01:17:08,090 And so for technical presentations, 1680 01:17:08,090 --> 01:17:09,260 it's just not as good. 1681 01:17:09,260 --> 01:17:12,180 So now, making the figures, I have the same philosophy. 1682 01:17:12,180 --> 01:17:16,526 So the figures I actually program as well. 1683 01:17:16,526 --> 01:17:18,310 Where is that fig [INAUDIBLE]. 1684 01:17:21,300 --> 01:17:23,080 So here are the figures. 1685 01:17:23,080 --> 01:17:27,010 So this is a function that draws logarithm graphs. 1686 01:17:27,010 --> 01:17:29,480 And then I tell it which parts of the graph to put in. 1687 01:17:29,480 --> 01:17:30,920 So that's how I do the-- 1688 01:17:30,920 --> 01:17:33,360 you draw all the lines, you drew all the pieces. 1689 01:17:33,360 --> 01:17:36,880 And then here I call it with different arguments, and I get 1690 01:17:36,880 --> 01:17:38,550 different figures. 1691 01:17:38,550 --> 01:17:40,720 So I'll put all the source code up for you guys, so you 1692 01:17:40,720 --> 01:17:43,160 can see an alternative way of doing it. 1693 01:17:43,160 --> 01:17:45,720 And some links, so you can try it yourself. 1694 01:17:45,720 --> 01:17:47,490 And some templates. 1695 01:17:47,490 --> 01:17:49,740 But it's not for everyone. 1696 01:17:49,740 --> 01:17:52,045 Though it is a public format. 1697 01:17:52,045 --> 01:17:54,380 It produces PDF, which is a public format. 1698 01:17:54,380 --> 01:17:58,200 So I actually highly recommend it for those who have at all 1699 01:17:58,200 --> 01:18:00,090 some programming affinity. 1700 01:18:00,090 --> 01:18:03,440 AUDIENCE: [INAUDIBLE] programs that ends up as PDF format. 1701 01:18:03,440 --> 01:18:04,240 PROFESSOR: That has the advantage of 1702 01:18:04,240 --> 01:18:07,430 PDF, which is good. 1703 01:18:07,430 --> 01:18:09,850 So I do recommend presenting things as PDF because you can 1704 01:18:09,850 --> 01:18:11,060 view it on anything. 1705 01:18:11,060 --> 01:18:13,020 It's just, you have the problem of, do you have good 1706 01:18:13,020 --> 01:18:14,930 mathematical typesetting. 1707 01:18:14,930 --> 01:18:16,870 And that's hard to find, except [? in Tech, ?] 1708 01:18:16,870 --> 01:18:17,510 basically. 1709 01:18:17,510 --> 01:18:19,650 That's the only thing that does it right. 1710 01:18:19,650 --> 01:18:21,520 OK, so if you could just take one minute, 1711 01:18:21,520 --> 01:18:23,750 fill out the sheets. 1712 01:18:23,750 --> 01:18:26,220 I'll answer the questions next time. 1713 01:18:26,220 --> 01:18:28,180 I'll have office hours as usual. 1714 01:18:28,180 --> 01:18:30,730 We'll meet outside that door. 1715 01:18:30,730 --> 01:18:34,790 And then we'll go to the cafe area, and have a chat at the 1716 01:18:34,790 --> 01:18:38,160 tables, as long as people have questions. 1717 01:18:38,160 --> 01:18:43,730 OK, so, the moral the story is use the blackboard if you can. 1718 01:18:43,730 --> 01:18:45,300 Use the big visual field. 1719 01:18:45,300 --> 01:18:48,470 But if you're going to use slides, Assertion-Evidence. 1720 01:18:48,470 --> 01:18:49,560 Sentence headline. 1721 01:18:49,560 --> 01:18:50,830 Visual evidence. 1722 01:18:50,830 --> 01:18:53,890 One message per slide. 1723 01:18:53,890 --> 01:18:56,210 Answers from lecture nine, to questions 1724 01:18:56,210 --> 01:18:58,690 generated in lecture eight. 1725 01:18:58,690 --> 01:19:01,970 Audio quality for this video is poor due to technical 1726 01:19:01,970 --> 01:19:04,852 difficulties. 1727 01:19:04,852 --> 01:19:06,102 PROFESSOR: [INAUDIBLE] 1728 01:19:08,303 --> 01:19:10,768 is I'd like to go through the questions from before. 1729 01:19:14,219 --> 01:19:18,656 There's one question from the time before, which is, could I 1730 01:19:18,656 --> 01:19:21,614 get the reference for the works that said, there's a 1731 01:19:21,614 --> 01:19:24,572 difference between telling people that they have 1732 01:19:24,572 --> 01:19:27,530 intrinsic abilities-- saying, oh, you did that because you 1733 01:19:27,530 --> 01:19:29,995 are really smart, versus, oh you did that because you tried 1734 01:19:29,995 --> 01:19:30,981 really hard. 1735 01:19:30,981 --> 01:19:34,866 And how those two ways of talking to people-- and 1736 01:19:34,866 --> 01:19:36,363 children especially-- 1737 01:19:36,363 --> 01:19:39,835 produced different interests, and confidence 1738 01:19:39,835 --> 01:19:41,468 in trying new problems. 1739 01:19:41,468 --> 01:19:45,053 I mentioned that that work was done a lot by a Professor at 1740 01:19:45,053 --> 01:19:46,726 Stanford, in the Psychology Department. 1741 01:19:46,726 --> 01:19:48,160 Could I get a reference for it? 1742 01:19:48,160 --> 01:19:51,059 The next update of the website will have the reference, with 1743 01:19:51,059 --> 01:20:02,230 the reference is Carol Dweck, D-W-E-C-K. And she's written a 1744 01:20:02,230 --> 01:20:03,712 ton of books, and papers. 1745 01:20:03,712 --> 01:20:10,134 But the one that [INAUDIBLE] popular, [INAUDIBLE] 1746 01:20:10,134 --> 01:20:13,098 is called Mindset. 1747 01:20:13,098 --> 01:20:16,556 Which is a really, really fascinating read. 1748 01:20:16,556 --> 01:20:20,508 So that will be on the website. 1749 01:20:20,508 --> 01:20:21,002 OK. 1750 01:20:21,002 --> 01:20:24,954 First question was, you mentioned many times, problems 1751 01:20:24,954 --> 01:20:30,470 that are PDF-- pass, D, or F, where P is made a decent 1752 01:20:30,470 --> 01:20:36,030 effort, D is made an indecent effort, and F is 1753 01:20:36,030 --> 01:20:38,085 didn't make an effort. 1754 01:20:38,085 --> 01:20:41,055 That's great, but then how do you balance that with the fact 1755 01:20:41,055 --> 01:20:45,015 that exams become high-stakes, hit-or-miss performances that 1756 01:20:45,015 --> 01:20:46,995 completely determine grades. 1757 01:20:46,995 --> 01:20:49,470 I don't use the exams that way. 1758 01:20:49,470 --> 01:20:51,780 I give exams, they're balanced with the problem sets. 1759 01:20:51,780 --> 01:20:56,424 The problem sets are PDF, and if you do P on all the problem 1760 01:20:56,424 --> 01:20:59,247 sets, that contributes a large part of your grade, towards 1761 01:20:59,247 --> 01:21:04,410 getting an A. So there's no necessity to make the exams 1762 01:21:04,410 --> 01:21:05,378 all or nothing. 1763 01:21:05,378 --> 01:21:07,800 Problem sets still account for quite a bit. 1764 01:21:07,800 --> 01:21:09,654 [INAUDIBLE] 1765 01:21:09,654 --> 01:21:14,347 It's just you're not forcing the students to get every last 1766 01:21:14,347 --> 01:21:18,052 T, and dot every last I, which often means going through 1767 01:21:18,052 --> 01:21:19,534 [INAUDIBLE] to try to do all that. 1768 01:21:19,534 --> 01:21:22,004 Instead, you're saying, look, I want you to try to learn 1769 01:21:22,004 --> 01:21:23,650 something big, important. 1770 01:21:23,650 --> 01:21:28,080 If you take responsibility, then, you get a reward for 1771 01:21:28,080 --> 01:21:32,660 that, by saying, OK, that'll help your grade, too. 1772 01:21:32,660 --> 01:21:34,245 About slide talks. 1773 01:21:34,245 --> 01:21:37,210 Were there any questions about slides talks versus teaching, 1774 01:21:37,210 --> 01:21:40,450 versus blackboards. 1775 01:21:40,450 --> 01:21:43,386 So one of the papers says that the best usage of slides is as 1776 01:21:43,386 --> 01:21:46,510 a completed form that's understandable without the 1777 01:21:46,510 --> 01:21:49,170 talk that comes with it. 1778 01:21:49,170 --> 01:21:51,380 Is that for a research talk? 1779 01:21:51,380 --> 01:21:53,970 Yes, for a research seminar, that's what you want. 1780 01:21:53,970 --> 01:21:55,390 You want two channels. 1781 01:21:55,390 --> 01:22:01,340 You want the auditory channel, and the slide channel, or the 1782 01:22:01,340 --> 01:22:02,515 visual channel-- 1783 01:22:02,515 --> 01:22:04,790 whatever's on the blackboard, however you do it. 1784 01:22:04,790 --> 01:22:08,090 You want them to stand independently. 1785 01:22:08,090 --> 01:22:12,495 So if people are deaf, and they just see the slides, they 1786 01:22:12,495 --> 01:22:14,120 get something out of the talk. 1787 01:22:14,120 --> 01:22:16,990 And if they're blind, and they just hear your speech, they 1788 01:22:16,990 --> 01:22:18,740 get something out of the talk. 1789 01:22:18,740 --> 01:22:22,660 That's, I would say, less true for teaching. 1790 01:22:22,660 --> 01:22:26,980 The slides tend not to be so, message, message, message. 1791 01:22:26,980 --> 01:22:31,356 You may develop a point, build up a bit of suspense, and then 1792 01:22:31,356 --> 01:22:33,488 give a final message. 1793 01:22:33,488 --> 01:22:38,900 So there's more interaction that happens from the lecture, 1794 01:22:38,900 --> 01:22:40,130 generally, when you're teaching, than 1795 01:22:40,130 --> 01:22:42,344 in a research seminar. 1796 01:22:42,344 --> 01:22:43,380 So those are somewhat different. 1797 01:22:43,380 --> 01:22:46,200 But generally, you do want your slides, or your 1798 01:22:46,200 --> 01:22:50,154 blackboard work, to somehow stand independently. 1799 01:22:50,154 --> 01:22:52,589 Although I've just violated that principle right there. 1800 01:22:52,589 --> 01:22:56,972 This is meaningless unless you've heard what I said. 1801 01:22:56,972 --> 01:22:59,407 But as I said, it's not an absolute rule. 1802 01:22:59,407 --> 01:23:01,842 It's just that there's tendencies that are different 1803 01:23:01,842 --> 01:23:04,277 between [INAUDIBLE] talks, and teaching. 1804 01:23:04,277 --> 01:23:07,502 What do you do if you're assigned to a classroom with a 1805 01:23:07,502 --> 01:23:08,150 bad blackboard situation. 1806 01:23:08,150 --> 01:23:09,122 In other words, not like this. 1807 01:23:09,122 --> 01:23:11,070 This is fantastic. 1808 01:23:11,070 --> 01:23:13,710 It would be even more ideal if there was a slide [INAUDIBLE]. 1809 01:23:13,710 --> 01:23:17,510 But what do you do if you go to a classroom with, for 1810 01:23:17,510 --> 01:23:19,928 example, just one whiteboard, or just one or two 1811 01:23:19,928 --> 01:23:20,916 blackboards? 1812 01:23:20,916 --> 01:23:23,386 Then you have to work harder. 1813 01:23:23,386 --> 01:23:26,844 Then you have to plan even more carefully, how are you 1814 01:23:26,844 --> 01:23:27,832 going to use the blackboard. 1815 01:23:27,832 --> 01:23:30,302 And be more telegraphic. 1816 01:23:30,302 --> 01:23:33,513 Put coarser details on the boards, not 1817 01:23:33,513 --> 01:23:34,254 every single detail. 1818 01:23:34,254 --> 01:23:35,736 Use the notes more. 1819 01:23:35,736 --> 01:23:39,194 So you optimize the constraints that you have. 1820 01:23:42,652 --> 01:23:44,920 Should you only use the front half of the room. 1821 01:23:44,920 --> 01:23:47,870 Suppose you're in a room which has blackboards all around. 1822 01:23:47,870 --> 01:23:49,490 Should you only use the front half of the room? 1823 01:23:49,490 --> 01:23:52,187 Yeah, I generally try to use only the front half of the 1824 01:23:52,187 --> 01:23:56,042 room, because people can look at that, and glance out of the 1825 01:23:56,042 --> 01:23:59,280 side of their eye at the side, and then, the front as well. 1826 01:23:59,280 --> 01:24:02,810 The back forces people to turn around, so they're much less 1827 01:24:02,810 --> 01:24:03,530 likely to use it. 1828 01:24:03,530 --> 01:24:05,930 So it's sort of like putting something on the ceiling. 1829 01:24:05,930 --> 01:24:07,370 [INAUDIBLE] never see it. 1830 01:24:07,370 --> 01:24:09,690 So generally, yeah, I use the front of the room, and 1831 01:24:09,690 --> 01:24:10,940 [INAUDIBLE] the side. 1832 01:24:13,180 --> 01:24:17,359 Should all slides have a "so what" element, or is that only 1833 01:24:17,359 --> 01:24:18,990 for research talks? 1834 01:24:18,990 --> 01:24:20,770 Definitely for a research talk, all the slides should 1835 01:24:20,770 --> 01:24:24,260 have a "so what," so people know what the point is. 1836 01:24:24,260 --> 01:24:27,084 And ideally, for teaching, you should have two. 1837 01:24:27,084 --> 01:24:30,230 Now, last time, I didn't mention one of the fundamental 1838 01:24:30,230 --> 01:24:32,420 benefits of putting a "so what," an 1839 01:24:32,420 --> 01:24:34,380 assertion, in every slide. 1840 01:24:34,380 --> 01:24:35,630 So that was the idea. 1841 01:24:47,120 --> 01:24:50,040 So the slide title is the "so what.". 1842 01:24:57,040 --> 01:25:01,040 And then here is the evidence, maybe a picture, or a graph. 1843 01:25:01,040 --> 01:25:02,540 Some kind of, ideally visual, evidence. 1844 01:25:02,540 --> 01:25:04,540 So what's the advantage of doing that? 1845 01:25:04,540 --> 01:25:05,945 It's not just for the audience-- 1846 01:25:05,945 --> 01:25:07,540 it's for you, as well. 1847 01:25:07,540 --> 01:25:10,750 What you do, after you make your series of slides, with 1848 01:25:10,750 --> 01:25:15,445 your sentences, your "so what." You extract just the 1849 01:25:15,445 --> 01:25:19,180 sentences, which is easy to do if you're using a program 1850 01:25:19,180 --> 01:25:20,176 [? like Tech. ?] 1851 01:25:20,176 --> 01:25:22,168 You just [INAUDIBLE], just the titles. 1852 01:25:22,168 --> 01:25:23,164 However you do it. 1853 01:25:23,164 --> 01:25:24,658 You make a list of sentences. 1854 01:25:30,136 --> 01:25:34,006 And then you see whether the sentences flow. 1855 01:25:34,006 --> 01:25:37,742 With a sentence, you can tell, very well, because whether 1856 01:25:37,742 --> 01:25:40,442 your presentation, your teaching, your seminar is well 1857 01:25:40,442 --> 01:25:43,143 organized, if it herks and jerks, if sentence one and 1858 01:25:43,143 --> 01:25:45,107 sentence two seem to have nothing to do with each other, 1859 01:25:45,107 --> 01:25:48,360 there's no transition between them, well, maybe you need a 1860 01:25:48,360 --> 01:25:51,548 sentence one and a half, a slide that goes in between. 1861 01:25:51,548 --> 01:25:54,038 Or maybe sentence two belongs down here, next to something 1862 01:25:54,038 --> 01:25:55,034 that relates better. 1863 01:25:55,034 --> 01:25:59,018 So you can see not just at the level of the individual 1864 01:25:59,018 --> 01:26:02,006 slides, but at the level of the entire presentation, 1865 01:26:02,006 --> 01:26:04,994 whether there's a thread that goes through. 1866 01:26:04,994 --> 01:26:07,680 And if you remember, one of the principles of good 1867 01:26:07,680 --> 01:26:09,650 teaching is having a good story. 1868 01:26:09,650 --> 01:26:11,808 So this helps you make a good story. 1869 01:26:25,030 --> 01:26:27,670 When you're teaching a class that has expectations for 1870 01:26:27,670 --> 01:26:30,850 teaching lots of material, how do you reconcile your desire 1871 01:26:30,850 --> 01:26:32,912 to teach the important things really well, and keep a 1872 01:26:32,912 --> 01:26:34,790 reasonable pace? 1873 01:26:34,790 --> 01:26:38,390 Some things aren't really reconcilable. 1874 01:26:38,390 --> 01:26:41,190 Classes that, for example, say, OK, we're going to go 1875 01:26:41,190 --> 01:26:44,180 through the 1,600-page textbook, there's really not 1876 01:26:44,180 --> 01:26:45,790 much you can do to help that. 1877 01:26:45,790 --> 01:26:47,902 And students are just hosed. 1878 01:26:47,902 --> 01:26:51,430 But try to avoid that, mitigate it. 1879 01:26:51,430 --> 01:26:54,244 Sometimes it seems like, just out of habit, everyone does 1880 01:26:54,244 --> 01:26:55,328 that 1,600-page textbook. 1881 01:26:55,328 --> 01:26:57,850 But you could find out, what are the actual requirements? 1882 01:26:57,850 --> 01:26:59,440 What do people need for [INAUDIBLE]? 1883 01:26:59,440 --> 01:27:01,470 If may be a lot less. 1884 01:27:01,470 --> 01:27:04,132 It may be that a bunch of stuff was just put in there 1885 01:27:04,132 --> 01:27:05,554 historically, and could be taken out. 1886 01:27:05,554 --> 01:27:07,450 So you might have some freedom to reduce that. 1887 01:27:07,450 --> 01:27:10,461 The other thing is you put more stuff in the notes, and 1888 01:27:10,461 --> 01:27:13,898 you give the higher-level ideas in the lecture. 1889 01:27:22,736 --> 01:27:24,700 Can I put my slides on the course web page? 1890 01:27:24,700 --> 01:27:30,710 Yes, I'll do that, with the reference, on the next update. 1891 01:27:30,710 --> 01:27:33,850 What about having slides that scroll rather than flip? 1892 01:27:33,850 --> 01:27:37,330 This was a suggestion to avoid the problem I mentioned of 1893 01:27:37,330 --> 01:27:41,645 signal overload, where you fill up the short-term memory 1894 01:27:41,645 --> 01:27:43,435 with a slide, and then you've forgotten 1895 01:27:43,435 --> 01:27:45,600 what's on the old slide. 1896 01:27:45,600 --> 01:27:47,829 And so, [INAUDIBLE] 1897 01:27:47,829 --> 01:27:51,070 too small to remember the whole slide. 1898 01:27:51,070 --> 01:27:55,286 So what about having slides that scroll, instead of flip. 1899 01:27:55,286 --> 01:27:58,758 And this may be a critique of the PDF format, which 1900 01:27:58,758 --> 01:28:00,246 organizes things in [? pages. ?] 1901 01:28:00,246 --> 01:28:03,718 I think it's actually not a critique of the PDF format, 1902 01:28:03,718 --> 01:28:06,694 it's just a critique of the PDF viewers. 1903 01:28:06,694 --> 01:28:09,670 So if you have a PDF viewer that can scroll, which many 1904 01:28:09,670 --> 01:28:11,654 can, you could actually use that. 1905 01:28:11,654 --> 01:28:15,126 The problem is that screens are not big enough. 1906 01:28:15,126 --> 01:28:17,110 That's really the fundamental issue. 1907 01:28:21,574 --> 01:28:26,286 So if this slide is taking up the entire screen space, when 1908 01:28:26,286 --> 01:28:30,998 you scroll it, stuff goes off these screens, and gets 1909 01:28:30,998 --> 01:28:32,060 replaced by new stuff. 1910 01:28:32,060 --> 01:28:35,050 So that problem is really hard to work around. 1911 01:28:35,050 --> 01:28:37,390 What you really need is multiple screens, and multiple 1912 01:28:37,390 --> 01:28:38,640 projectors. 1913 01:28:41,760 --> 01:28:44,250 Many questions asked, what do you do if you're in a room 1914 01:28:44,250 --> 01:28:46,332 with a bad blackboard situation, where you just have 1915 01:28:46,332 --> 01:28:47,190 one or two blackboards. 1916 01:28:47,190 --> 01:28:50,482 Well, almost every room has a bad slide situation, because 1917 01:28:50,482 --> 01:28:52,390 you only have one slide projector. 1918 01:28:52,390 --> 01:28:55,820 So you only use a small part of the room. 1919 01:28:55,820 --> 01:28:57,700 So that's the really fundamental problem. 1920 01:28:57,700 --> 01:28:59,700 And if you could get around that, it wouldn't really 1921 01:28:59,700 --> 01:29:02,660 matter so much whether the slides scrolled or flipped. 1922 01:29:02,660 --> 01:29:04,215 You'd put one over there, one over there, 1923 01:29:04,215 --> 01:29:05,523 maybe one over there. 1924 01:29:05,523 --> 01:29:08,640 Of course now [INAUDIBLE]. 1925 01:29:08,640 --> 01:29:16,159 My guess is that the t prepare is probably proportional to n 1926 01:29:16,159 --> 01:29:17,387 cubed, or something like that. 1927 01:29:17,387 --> 01:29:19,023 Depending on the number of slide projectors you 1928 01:29:19,023 --> 01:29:19,842 have to deal with. 1929 01:29:19,842 --> 01:29:22,222 Because you have to do all the coupling of [INAUDIBLE] n 1930 01:29:22,222 --> 01:29:24,427 squared [INAUDIBLE]. 1931 01:29:24,427 --> 01:29:26,365 You'd have to do all the coupling between all the 1932 01:29:26,365 --> 01:29:28,932 slides, and it will probably take you twelve hours for 1933 01:29:28,932 --> 01:29:31,730 every lecture that you give, of one hour. 1934 01:29:31,730 --> 01:29:35,020 Which is kind of [INAUDIBLE]. 1935 01:29:35,020 --> 01:29:39,550 Do I think the video camera for OCW impacts the style of 1936 01:29:39,550 --> 01:29:42,900 my lectures, blackboards, pacing, et cetera? 1937 01:29:42,900 --> 01:29:44,955 If anything, it probably improves it. 1938 01:29:44,955 --> 01:29:47,850 Because I'm a little more conscious that I write 1939 01:29:47,850 --> 01:29:53,752 clearly, and maybe it improves my dress code a bit, because I 1940 01:29:53,752 --> 01:29:54,606 make sure to wear a tie. 1941 01:29:54,606 --> 01:29:57,290 But other than that, it doesn't really affect, too 1942 01:29:57,290 --> 01:29:58,510 much, what I do. 1943 01:29:58,510 --> 01:30:00,950 And I usually forget that it's even there. 1944 01:30:04,380 --> 01:30:06,647 It's much easier to write equations [? in Tech, ?] and 1945 01:30:06,647 --> 01:30:08,875 then copy and paste them into a presentation, than doing the 1946 01:30:08,875 --> 01:30:10,855 entire presentation [? in Tech. ?] 1947 01:30:10,855 --> 01:30:12,340 Actually, I disagree. 1948 01:30:12,340 --> 01:30:17,140 This is a case of start-up costs, versus running costs. 1949 01:30:17,140 --> 01:30:19,800 So there's many examples of that, here at issue. 1950 01:30:22,800 --> 01:30:24,800 It's actually a general principle worth knowing, 1951 01:30:24,800 --> 01:30:26,300 because you can analyze lots of stuff. 1952 01:30:39,800 --> 01:30:43,770 Another example of this principle is, suppose you see 1953 01:30:43,770 --> 01:30:47,030 a book that you really like, that's available in print, 1954 01:30:47,030 --> 01:30:50,516 from publisher n, and there's also a PDF file online. 1955 01:30:50,516 --> 01:30:53,020 Well, you could just print it out and replace your printer. 1956 01:30:53,020 --> 01:30:55,510 Or, you could buy the thing from the publisher. 1957 01:30:55,510 --> 01:30:58,486 Now, unless the publisher's a total thief -- unfortunately, 1958 01:30:58,486 --> 01:31:01,485 many of them are, but many of them aren't-- 1959 01:31:01,485 --> 01:31:05,672 it's usually much better to buy it at the bookstore, 1960 01:31:05,672 --> 01:31:09,249 because it's much cheaper, than to print it on your laser 1961 01:31:09,249 --> 01:31:11,634 printer, get all the paper trimmed to the right size, and 1962 01:31:11,634 --> 01:31:12,830 have it all bound. 1963 01:31:12,830 --> 01:31:17,070 So the running cost for you to do one book-- you have no 1964 01:31:17,070 --> 01:31:20,830 start-up cost, you just do it. 1965 01:31:20,830 --> 01:31:24,004 There's no fixed amount you have to pay, no matter how 1966 01:31:24,004 --> 01:31:25,144 many books you do. 1967 01:31:25,144 --> 01:31:27,272 But there's a running cost, and your running cost is 1968 01:31:27,272 --> 01:31:28,340 pretty high. 1969 01:31:28,340 --> 01:31:31,930 Whereas the publisher, they have a big start-up cost. 1970 01:31:31,930 --> 01:31:34,850 What they do, is they make all these plates, they take them 1971 01:31:34,850 --> 01:31:36,675 to a PDF file, [INAUDIBLE], they make all these metal 1972 01:31:36,675 --> 01:31:39,240 plates, and they ink the metal plates, 1973 01:31:39,240 --> 01:31:41,270 stamp it onto the paper. 1974 01:31:41,270 --> 01:31:42,550 So they do all that. 1975 01:31:42,550 --> 01:31:43,482 That's a big start-up cost. 1976 01:31:43,482 --> 01:31:46,168 But their running cost is much lower. 1977 01:31:46,168 --> 01:31:49,310 They're much more efficient printing, per book. 1978 01:31:49,310 --> 01:31:51,166 But it requires all that start-up cost. 1979 01:31:51,166 --> 01:31:55,150 So there's a contrast between book publishers and you. 1980 01:31:55,150 --> 01:31:58,900 So it's the same thing, actually, with doing 1981 01:31:58,900 --> 01:31:59,780 [? Tech, ?] 1982 01:31:59,780 --> 01:32:03,030 versus doing, say, regular word processing. 1983 01:32:03,030 --> 01:32:06,400 With [? Tech, ?] there's a lot of start-up cost. 1984 01:32:06,400 --> 01:32:08,280 No doubt about that. 1985 01:32:08,280 --> 01:32:09,920 It's not what most people are used to, you end up 1986 01:32:09,920 --> 01:32:12,180 programming your documents. 1987 01:32:12,180 --> 01:32:14,704 And so, if you're only making one document, if you only 1988 01:32:14,704 --> 01:32:18,522 write one letter in your life, no question it's faster to 1989 01:32:18,522 --> 01:32:19,690 write the letter. 1990 01:32:19,690 --> 01:32:22,690 Your have lower running costs. 1991 01:32:22,690 --> 01:32:24,894 You don't have to worry about the start-up costs if you 1992 01:32:24,894 --> 01:32:27,329 write it using a word processing program-- 1993 01:32:27,329 --> 01:32:29,764 Open Office, for example. 1994 01:32:29,764 --> 01:32:32,810 You just type, and you make it look like you want, and just 1995 01:32:32,810 --> 01:32:33,420 spit it out. 1996 01:32:33,420 --> 01:32:37,412 But, if you have to write 50 letters that all have a 1997 01:32:37,412 --> 01:32:39,380 roughly similar format, it's much 1998 01:32:39,380 --> 01:32:40,820 better to get the template. 1999 01:32:40,820 --> 01:32:43,826 You pay the start-up cost once, learn [? Tech, ?] learn 2000 01:32:43,826 --> 01:32:45,950 some kind of program template. 2001 01:32:45,950 --> 01:32:51,533 And then, you just enter the blanks into the template. 2002 01:32:51,533 --> 01:32:53,780 The text, dear who, the address, and all that. 2003 01:32:53,780 --> 01:32:54,940 [INAUDIBLE] 2004 01:32:54,940 --> 01:32:57,550 formatting, that's all dealt with once. 2005 01:32:57,550 --> 01:33:00,892 So you pay start-up costs, in return for 2006 01:33:00,892 --> 01:33:01,874 lower running costs. 2007 01:33:01,874 --> 01:33:03,838 And that's basically true of lectures, too. 2008 01:33:03,838 --> 01:33:06,293 Once you have all your templates ready, it's much 2009 01:33:06,293 --> 01:33:08,748 faster to do everything [? in Tech, ?] or in some kind 2010 01:33:08,748 --> 01:33:12,676 of programming, text-processing system, rather 2011 01:33:12,676 --> 01:33:15,131 than in a word processor. 2012 01:33:18,080 --> 01:33:20,712 The problem is that, because of the start-up costs, 2013 01:33:20,712 --> 01:33:21,588 [INAUDIBLE] 2014 01:33:21,588 --> 01:33:24,390 lecture the day before, or two days before. 2015 01:33:24,390 --> 01:33:27,458 Because of the start-up costs, you always say, well, I could 2016 01:33:27,458 --> 01:33:29,900 learn [? Tech, ?], and do this properly, and it would save me 2017 01:33:29,900 --> 01:33:33,525 a lot of time later, but I don't have the time right now. 2018 01:33:33,525 --> 01:33:37,590 And then you end up paying the higher running cost to do it 2019 01:33:37,590 --> 01:33:38,720 some other way. 2020 01:33:38,720 --> 01:33:41,900 But each time, before each lecture, it happens again, 2021 01:33:41,900 --> 01:33:43,780 over and over and over again And you would have been better 2022 01:33:43,780 --> 01:33:48,384 off [INAUDIBLE] actually paying the start-up cost. 2023 01:33:48,384 --> 01:33:53,020 So, to that end, I will put my templates up, so other people 2024 01:33:53,020 --> 01:33:53,752 can use them. 2025 01:33:53,752 --> 01:33:55,460 So you don't have to pay so much start-up cost, and you 2026 01:33:55,460 --> 01:33:58,632 can just take them, and use them for your own [INAUDIBLE]. 2027 01:34:01,560 --> 01:34:07,585 So I think that was the main questions for this time. 2028 01:34:07,585 --> 01:34:09,920 Any questions that have been created since then?