1 00:00:00,040 --> 00:00:02,460 The following content is provided under a Creative 2 00:00:02,460 --> 00:00:03,970 Commons license. 3 00:00:03,970 --> 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 00:00:21,940 --> 00:00:30,700 PROFESSOR: What I want to do now is basically summarize the 9 00:00:30,700 --> 00:00:34,190 theme of each of the sessions that we've had, partly as a 10 00:00:34,190 --> 00:00:37,930 way of reminding you of all the things we did and also 11 00:00:37,930 --> 00:00:39,830 jogging your memory or any question that you might have 12 00:00:39,830 --> 00:00:40,500 about that. 13 00:00:40,500 --> 00:00:43,520 And then it'll be your chance to ask questions. 14 00:00:43,520 --> 00:00:47,860 So I'm going to do it, so I'll think aloud here. 15 00:00:47,860 --> 00:00:51,730 I'll do it in a way that I can leave them up the whole time. 16 00:00:51,730 --> 00:00:54,140 So let me do it here. 17 00:00:54,140 --> 00:00:55,390 I'll do it on these two guys. 18 00:00:59,520 --> 00:01:02,700 Yeah, I'll do it here. 19 00:01:02,700 --> 00:01:05,810 So our sessions and the summaries of them-- 20 00:01:10,400 --> 00:01:13,930 so session number one was the introduction. 21 00:01:13,930 --> 00:01:29,370 But I'll start with session two, was teaching equations. 22 00:01:29,370 --> 00:01:33,600 Now the fundamental idea I wanted people to learn in this 23 00:01:33,600 --> 00:01:39,050 one is to help students learn equations in big chunks. 24 00:01:39,050 --> 00:01:41,850 So doing derivations is generally 25 00:01:41,850 --> 00:01:43,270 antithetical to that. 26 00:01:43,270 --> 00:01:47,120 Because students will just see the little symbols, and 27 00:01:47,120 --> 00:01:49,430 they'll see a ton and ton and ton and ton of symbols. 28 00:01:49,430 --> 00:01:52,300 And they're chunk size is much smaller than you, so you will 29 00:01:52,300 --> 00:01:55,420 overload their short term memory. 30 00:01:55,420 --> 00:01:57,870 And they won't really be understanding, they'll be just 31 00:01:57,870 --> 00:01:59,900 trying to remember and write as fast as they can. 32 00:02:05,660 --> 00:02:09,570 So is that visible, the orange? 33 00:02:09,570 --> 00:02:09,810 Yeah? 34 00:02:09,810 --> 00:02:10,560 Great. 35 00:02:10,560 --> 00:02:14,180 Oh yeah, you're a good test. 36 00:02:14,180 --> 00:02:17,090 So teaching equations, you want to try and chunk the 37 00:02:17,090 --> 00:02:20,490 equations, because that gives meaning for the students. 38 00:02:20,490 --> 00:02:23,760 So, for example, what does each term mean? 39 00:02:23,760 --> 00:02:27,330 Why would you expect that term to show up in the equation? 40 00:02:27,330 --> 00:02:30,770 Those are the kinds of things that a book generally does not 41 00:02:30,770 --> 00:02:31,910 do very well. 42 00:02:31,910 --> 00:02:35,560 And that's something that you, as a teacher, actually have a 43 00:02:35,560 --> 00:02:38,480 lot of value to add. 44 00:02:38,480 --> 00:02:43,600 Now I just learned about a book that does try to do this, 45 00:02:43,600 --> 00:02:45,260 which is called A Student's Guide to Maxwell's Equations. 46 00:02:49,840 --> 00:02:52,270 Does anybody know that book? 47 00:02:52,270 --> 00:02:53,390 Yeah, you know it? 48 00:02:53,390 --> 00:02:56,200 So, it looks fantastic. 49 00:02:56,200 --> 00:03:00,220 I'm number seven or something in the queue to get a copy 50 00:03:00,220 --> 00:03:03,120 from the MIT library, which shows how popular it is. 51 00:03:03,120 --> 00:03:04,610 But the way it's organized-- 52 00:03:04,610 --> 00:03:07,130 well, first of all, it's sold an immense number of copies 53 00:03:07,130 --> 00:03:13,460 for a technical textbook, something like 7,000 or 54 00:03:13,460 --> 00:03:15,180 something like that. 55 00:03:15,180 --> 00:03:19,080 So it's a physics best seller. 56 00:03:19,080 --> 00:03:20,730 It's not an Agatha Christie novel, but 57 00:03:20,730 --> 00:03:22,290 it's really well done. 58 00:03:22,290 --> 00:03:28,600 And each chapter talks about one of the equations. 59 00:03:28,600 --> 00:03:31,630 So there's four, roughly, Maxwell's equations. 60 00:03:31,630 --> 00:03:34,820 And there's four chapters, one per equation. 61 00:03:34,820 --> 00:03:37,670 So it's helping the students chunk just by the very 62 00:03:37,670 --> 00:03:38,470 structure of the books. 63 00:03:38,470 --> 00:03:41,950 But most books don't do that, aren't that well or that 64 00:03:41,950 --> 00:03:44,470 interestingly constructed, and that thoughtfully constructed, 65 00:03:44,470 --> 00:03:49,970 so it's something that you, as a teacher, really should do. 66 00:03:49,970 --> 00:03:51,220 The next one-- 67 00:04:00,450 --> 00:04:02,300 misconceptions. 68 00:04:02,300 --> 00:04:06,170 So why did we spend a whole session on misconceptions? 69 00:04:06,170 --> 00:04:10,560 Well, it's fundamentally important, misconceptions, 70 00:04:10,560 --> 00:04:15,650 because if you don't know where your students are, you 71 00:04:15,650 --> 00:04:17,740 have no chance of bringing them to where you 72 00:04:17,740 --> 00:04:19,579 want them to go. 73 00:04:19,579 --> 00:04:22,730 The example that's classic, that's [? probably ?] 74 00:04:22,730 --> 00:04:25,180 started this whole line of research about misconceptions, 75 00:04:25,180 --> 00:04:27,990 was students' understanding of force and motion. 76 00:04:27,990 --> 00:04:30,950 And basically, what you find is that most peoples' 77 00:04:30,950 --> 00:04:33,480 intuitive understanding of force and 78 00:04:33,480 --> 00:04:35,125 motion is f equals mv. 79 00:04:38,920 --> 00:04:42,110 If you have an object, you stop pushing 80 00:04:42,110 --> 00:04:43,890 it, it stops moving. 81 00:04:43,890 --> 00:04:45,950 Force and velocity are connected. 82 00:04:45,950 --> 00:04:49,450 If you have a heavier object, you have to push it harder. 83 00:04:49,450 --> 00:04:52,510 If you have a lighter object, you push it less. 84 00:04:52,510 --> 00:04:54,350 So force and mass are connected, so it looks 85 00:04:54,350 --> 00:04:55,760 like f equals mv. 86 00:04:55,760 --> 00:04:58,360 Whereas, we would like to teach them f equals ma, 87 00:04:58,360 --> 00:05:00,460 Newton's Second Law, force equals mass times 88 00:05:00,460 --> 00:05:01,330 acceleration. 89 00:05:01,330 --> 00:05:05,270 So there's a fundamental difference there, and if you 90 00:05:05,270 --> 00:05:08,570 don't take account of that, you'll end up producing just 91 00:05:08,570 --> 00:05:09,320 rote knowledge. 92 00:05:09,320 --> 00:05:13,530 They'll say OK, well whenever I happen to be in physics 93 00:05:13,530 --> 00:05:16,080 class, I'll use f equals ma, and I'll just solve problems 94 00:05:16,080 --> 00:05:19,270 symbolically using that procedure you've told me. 95 00:05:19,270 --> 00:05:21,420 But I don't really believe it, or understand it, or use it in 96 00:05:21,420 --> 00:05:24,000 my own reasoning, so my intuition is no longer 97 00:05:24,000 --> 00:05:26,190 available for reasoning. 98 00:05:26,190 --> 00:05:29,120 So by taking account of students' misconceptions and 99 00:05:29,120 --> 00:05:32,180 helping them come to an intuitive understanding of how 100 00:05:32,180 --> 00:05:33,580 things really work, you're actually 101 00:05:33,580 --> 00:05:34,630 making them much smarter. 102 00:05:34,630 --> 00:05:36,540 So this is knowing-- 103 00:05:49,400 --> 00:05:51,880 so that's knowing how students think. 104 00:05:51,880 --> 00:05:55,510 So this is pretty much opposite to behaviorism. 105 00:05:59,570 --> 00:06:02,580 Because you're saying, well, I really want to peer into how 106 00:06:02,580 --> 00:06:06,200 people are reflecting, and how their cognition works, what's 107 00:06:06,200 --> 00:06:08,020 going on under the hood. 108 00:06:08,020 --> 00:06:11,000 And behaviorism says, well, no, all you need to do is look 109 00:06:11,000 --> 00:06:11,810 at the behavior. 110 00:06:11,810 --> 00:06:15,740 If they're solving problems correctly, that's fine. 111 00:06:15,740 --> 00:06:18,100 Whereas actually you want to know, well, why did they solve 112 00:06:18,100 --> 00:06:18,410 it that way? 113 00:06:18,410 --> 00:06:19,930 Is it because they really understood it or not? 114 00:06:19,930 --> 00:06:24,060 Did they just say 6 times 3 is 18, because they were told, or 115 00:06:24,060 --> 00:06:24,950 they memorized it? 116 00:06:24,950 --> 00:06:28,720 Or was it because they really understood it, in which case 117 00:06:28,720 --> 00:06:31,500 they could make a word problem related to it? 118 00:06:31,500 --> 00:06:35,630 So knowing how students think, you're actually part of the 119 00:06:35,630 --> 00:06:36,620 cognitive revolution. 120 00:06:36,620 --> 00:06:39,400 And you're actually connecting to students, directly and 121 00:06:39,400 --> 00:06:42,240 making them much smarter. 122 00:06:42,240 --> 00:06:43,675 Homework and exam questions-- 123 00:06:55,280 --> 00:06:59,340 so constructing homework and exam questions, the main theme 124 00:06:59,340 --> 00:07:01,030 of that was Bloom's Taxonomy. 125 00:07:07,990 --> 00:07:13,260 So this was a hierarchy of goals that you could have. 126 00:07:13,260 --> 00:07:15,260 So the full name is A Taxonomy of Educational Objectives. 127 00:07:18,120 --> 00:07:20,090 And the ones we're talking about, if you look at the full 128 00:07:20,090 --> 00:07:21,700 title, it's the cognitive domain. 129 00:07:21,700 --> 00:07:23,560 There's the cognitive and affective. 130 00:07:23,560 --> 00:07:27,385 Affective means related to feelings and emotions. 131 00:07:27,385 --> 00:07:30,560 This is the cognitive domain ones I'm talking about here. 132 00:07:30,560 --> 00:07:34,200 So are you asking for just comprehension? 133 00:07:34,200 --> 00:07:37,000 Are you asking for students to analyze? 134 00:07:37,000 --> 00:07:39,410 Are you asking them to synthesize knowledge? 135 00:07:39,410 --> 00:07:42,780 What is the level of cognitive activity that 136 00:07:42,780 --> 00:07:43,990 you're asking for? 137 00:07:43,990 --> 00:07:47,780 And generally, you want to mix levels. 138 00:07:47,780 --> 00:07:50,730 So you don't want to just push the students 139 00:07:50,730 --> 00:07:51,980 off a cliff and say-- 140 00:07:56,870 --> 00:07:58,960 the first day in thermodynamics class, discuss 141 00:07:58,960 --> 00:08:01,010 how the Second Law of Thermodynamics applies to the 142 00:08:01,010 --> 00:08:03,370 entropy of the universe? 143 00:08:03,370 --> 00:08:05,532 That's just too hard. 144 00:08:05,532 --> 00:08:08,485 You've pushed them way off the cliff, and you jumped way too 145 00:08:08,485 --> 00:08:09,520 high in Bloom's Taxonomy. 146 00:08:09,520 --> 00:08:12,210 You also don't want to just give them pure comprehension 147 00:08:12,210 --> 00:08:15,480 problems, because they remember the rule that you're 148 00:08:15,480 --> 00:08:17,080 trying to teach. 149 00:08:17,080 --> 00:08:19,520 Rather, you want to mix them, and Bloom's Taxonomy gives you 150 00:08:19,520 --> 00:08:22,470 a structured way of seeing what level your questions are 151 00:08:22,470 --> 00:08:26,050 at and making sure you mix them, so that you prepare 152 00:08:26,050 --> 00:08:28,240 students comprehension questions, so that they can 153 00:08:28,240 --> 00:08:33,110 later do evaluation questions. 154 00:08:33,110 --> 00:08:34,360 Course design-- 155 00:08:41,950 --> 00:08:51,030 so for course design, the big idea is big ideas. 156 00:08:51,030 --> 00:09:01,590 So you want to organize your course around some kind of 157 00:09:01,590 --> 00:09:03,260 large ideas. 158 00:09:03,260 --> 00:09:08,500 And ideally, those large ideas will transfer outside of the 159 00:09:08,500 --> 00:09:09,790 course too. 160 00:09:09,790 --> 00:09:12,300 And if a whole curriculum is organized around a few large 161 00:09:12,300 --> 00:09:16,580 ideas, for example, waves and oscillatory motion, you could 162 00:09:16,580 --> 00:09:20,670 also organize a whole bunch of a physics major around ideas 163 00:09:20,670 --> 00:09:23,040 like that, or conservation. 164 00:09:23,040 --> 00:09:28,790 By giving structure to the curriculum, you turn it away 165 00:09:28,790 --> 00:09:32,010 from just a series of unconnected facts, like we did 166 00:09:32,010 --> 00:09:34,900 this topic, that topic, that topic, that topic, actually 167 00:09:34,900 --> 00:09:37,190 you give it form and organization. 168 00:09:37,190 --> 00:09:40,740 And then it's much more likely to be built into long lasting 169 00:09:40,740 --> 00:09:42,590 chunks in the students' minds. 170 00:09:45,410 --> 00:09:48,004 So the next one was interactive teaching. 171 00:09:57,750 --> 00:10:01,120 The sixth session was interactive teaching. 172 00:10:01,120 --> 00:10:06,280 And the main theme is that questioning and reflecting 173 00:10:06,280 --> 00:10:07,740 lead to long lasting learning. 174 00:10:22,770 --> 00:10:28,230 So I showed you three or four different time scales on which 175 00:10:28,230 --> 00:10:30,890 you could be interactive. 176 00:10:30,890 --> 00:10:34,040 A short one is when you ask a question, you wait 5 seconds. 177 00:10:34,040 --> 00:10:36,830 Or actually some of you suggested seven, which is 178 00:10:36,830 --> 00:10:37,650 probably better. 179 00:10:37,650 --> 00:10:39,910 It's just harder to do, but it's probably better. 180 00:10:39,910 --> 00:10:42,780 So you wait a certain amount of time to allow people to 181 00:10:42,780 --> 00:10:44,610 actually formulate questions. 182 00:10:44,610 --> 00:10:48,290 So that promotes interaction on a short scale. 183 00:10:48,290 --> 00:10:51,350 You can ask short questions, one or two minutes, two or 184 00:10:51,350 --> 00:10:53,940 three minutes, with a multiple choice right in 185 00:10:53,940 --> 00:10:55,470 the middle of lecture. 186 00:10:55,470 --> 00:10:56,950 It gives you feedback. 187 00:10:56,950 --> 00:10:59,570 So it's related to the misconceptions one. 188 00:10:59,570 --> 00:11:01,760 You're learning how students think, just as 189 00:11:01,760 --> 00:11:03,010 they answer the questions. 190 00:11:08,740 --> 00:11:14,670 Or on the same time scale, you can ask the feedback questions 191 00:11:14,670 --> 00:11:16,970 from this sheet at the end of the lecture. 192 00:11:16,970 --> 00:11:19,310 So that's also promoting a space for questions. 193 00:11:19,310 --> 00:11:22,600 And you can actually see how successful that is. 194 00:11:22,600 --> 00:11:25,100 There's so many questions, actually, we could spend two 195 00:11:25,100 --> 00:11:26,760 more sessions answered all the questions, 196 00:11:26,760 --> 00:11:29,770 which I'm glad about. 197 00:11:29,770 --> 00:11:32,400 Because questioning and reflecting-- 198 00:11:32,400 --> 00:11:35,430 that's how people make knowledge their own. 199 00:11:35,430 --> 00:11:37,320 So the formal name for that is constructivism. 200 00:11:37,320 --> 00:11:40,260 But what you're doing is you're helping people 201 00:11:40,260 --> 00:11:41,210 construct knowledge. 202 00:11:41,210 --> 00:11:42,940 And you can do this on a long scale. 203 00:11:42,940 --> 00:11:45,120 Like for example, for the whole lecture, you can use a 204 00:11:45,120 --> 00:11:48,410 question like the word blocks, which I showed you earlier. 205 00:11:48,410 --> 00:11:51,050 You can actually do that for an entire lecture. 206 00:11:51,050 --> 00:11:54,645 And actually, we just did that for entire lecture in my Art 207 00:11:54,645 --> 00:11:56,050 of Approximation class. 208 00:11:56,050 --> 00:11:58,600 Because the word blocks leads to xylophones, and I brought 209 00:11:58,600 --> 00:11:59,380 in a xylophone. 210 00:11:59,380 --> 00:12:02,940 And we can talk about how the pitches of the thick and thin 211 00:12:02,940 --> 00:12:06,200 wood blocks relate to the pitches of shorter and longer 212 00:12:06,200 --> 00:12:08,850 xylophone slats. 213 00:12:08,850 --> 00:12:11,420 So rich examples like that-- 214 00:12:11,420 --> 00:12:12,790 one doesn't have that many of them. 215 00:12:12,790 --> 00:12:15,380 But when you do have them, you can actually build an entire 216 00:12:15,380 --> 00:12:16,620 session around them. 217 00:12:16,620 --> 00:12:19,490 And it produces all of these good things. 218 00:12:22,590 --> 00:12:23,840 Seven-- 219 00:12:35,930 --> 00:12:39,830 lecture planning and performing. 220 00:12:39,830 --> 00:12:42,260 So for the planning of the lecture, just like for the 221 00:12:42,260 --> 00:12:45,160 course, the planning of a course, you want to organize 222 00:12:45,160 --> 00:12:47,670 it around some kind of big idea, some kind of thing that 223 00:12:47,670 --> 00:12:49,000 gives it structure. 224 00:12:49,000 --> 00:12:51,870 The whole lecture, you want an objective. 225 00:13:05,660 --> 00:13:10,200 For example, by the end of the lecture, I want students to be 226 00:13:10,200 --> 00:13:13,660 able to explain the origin of the terms in the 227 00:13:13,660 --> 00:13:14,910 Navier-Stokes equation. 228 00:13:17,680 --> 00:13:20,040 So then you would choose your activities in 229 00:13:20,040 --> 00:13:21,830 lecture around this goal. 230 00:13:21,830 --> 00:13:25,620 But that goal, actually just like the longer scale one for 231 00:13:25,620 --> 00:13:27,680 the whole course, gives structure to the lecture. 232 00:13:27,680 --> 00:13:29,940 And you know what to put in and what not to put it. 233 00:13:29,940 --> 00:13:34,000 And the lecture planning blank sheets, or the templates I 234 00:13:34,000 --> 00:13:38,960 gave you, I posted, you can use those to that end. 235 00:13:38,960 --> 00:13:41,920 And that's for the planning part. 236 00:13:41,920 --> 00:13:48,630 And for the performing, I would say the main thing in 237 00:13:48,630 --> 00:13:52,840 performing that people don't normally think about when they 238 00:13:52,840 --> 00:13:54,160 think about teaching is timing. 239 00:13:59,860 --> 00:14:03,560 So if you want to create little bits of suspense and 240 00:14:03,560 --> 00:14:06,450 interest, little bits of tension, 241 00:14:06,450 --> 00:14:07,780 that are then released. 242 00:14:07,780 --> 00:14:09,960 And you want to do that on multiple scales-- 243 00:14:09,960 --> 00:14:12,630 short and long. 244 00:14:12,630 --> 00:14:16,240 The interactive teaching questions from here help do 245 00:14:16,240 --> 00:14:18,400 that, especially if you have a demonstration. 246 00:14:18,400 --> 00:14:21,640 Because people want to know, is the thick wood block going 247 00:14:21,640 --> 00:14:25,250 to be higher pitch or is it going to be a lower pitch? 248 00:14:25,250 --> 00:14:26,930 And you'll find that when you do things like that, the 249 00:14:26,930 --> 00:14:28,850 entire room is dead silent, because people 250 00:14:28,850 --> 00:14:29,960 really want to know. 251 00:14:29,960 --> 00:14:34,200 And the way you structure the questions can promote that. 252 00:14:34,200 --> 00:14:37,630 By having people vote, they've now made a public commitment, 253 00:14:37,630 --> 00:14:42,330 which then activates the cognitive dissonance part of 254 00:14:42,330 --> 00:14:43,580 people's mind. 255 00:14:45,960 --> 00:14:50,580 By making a public commitment, they've now made their 256 00:14:50,580 --> 00:14:53,880 internal state more towards the public state, which is oh, 257 00:14:53,880 --> 00:14:55,290 I want to know what's going on. 258 00:14:55,290 --> 00:14:57,170 And they really do want to know what's going on. 259 00:14:57,170 --> 00:15:01,310 So timing-- you can get a lot of timing ideas from the 260 00:15:01,310 --> 00:15:03,370 interactive teaching methods. 261 00:15:03,370 --> 00:15:06,310 But timing is really important for performing. 262 00:15:06,310 --> 00:15:10,520 Imagine jokes where people tell you the punchline first, 263 00:15:10,520 --> 00:15:12,740 and then they tell you the rest of the joke. 264 00:15:12,740 --> 00:15:15,480 They don't go over too well, and most comics, at least most 265 00:15:15,480 --> 00:15:18,080 successful comics, don't do that. 266 00:15:18,080 --> 00:15:19,690 But we usually do that with our teaching. 267 00:15:31,520 --> 00:15:35,680 Blackboards and slides for teaching-- 268 00:15:35,680 --> 00:15:45,110 so the main concepts to think about there are the chunk size 269 00:15:45,110 --> 00:15:50,540 that students have and how many spots they have in short 270 00:15:50,540 --> 00:15:51,790 term memory. 271 00:15:54,560 --> 00:15:57,420 So with the blackboard, you have many advantages for free, 272 00:15:57,420 --> 00:16:01,430 which is that on the blackboard, you don't have to 273 00:16:01,430 --> 00:16:04,950 use too many short term memory slots. 274 00:16:04,950 --> 00:16:11,650 You can put the entire session all on one giant set of 275 00:16:11,650 --> 00:16:12,930 blackboards in the front. 276 00:16:12,930 --> 00:16:15,610 And you can offload a lot of the work onto something that's 277 00:16:15,610 --> 00:16:17,070 in the visual field and present for 278 00:16:17,070 --> 00:16:18,580 everyone, all the time. 279 00:16:18,580 --> 00:16:20,280 Because remember, their chunk size is much 280 00:16:20,280 --> 00:16:21,790 smaller than yours. 281 00:16:21,790 --> 00:16:24,460 So you might see the entire lecture as one chunk. 282 00:16:24,460 --> 00:16:26,940 But obviously, they don't see it that way, or they wouldn't 283 00:16:26,940 --> 00:16:27,940 be in the lecture. 284 00:16:27,940 --> 00:16:30,530 They're the learners. 285 00:16:30,530 --> 00:16:33,720 And then when you're doing the slides, if you're going to use 286 00:16:33,720 --> 00:16:36,370 slides for teaching, to mitigate some of this problem 287 00:16:36,370 --> 00:16:39,740 of not having enough short term memory slots, generally 288 00:16:39,740 --> 00:16:43,300 not enough space, well, you could try to get four slide 289 00:16:43,300 --> 00:16:45,140 projectors or three slide projectors. 290 00:16:45,140 --> 00:16:46,790 But it's pretty hard to do. 291 00:16:46,790 --> 00:16:50,470 And it triples or quintuple or [? nontuples ?] 292 00:16:50,470 --> 00:16:52,140 the time to prepare the slides, because you have to 293 00:16:52,140 --> 00:16:54,850 synchronize three different slide presentations. 294 00:16:54,850 --> 00:17:01,570 So at least use assertions at the title 295 00:17:01,570 --> 00:17:02,820 and then visual evidence. 296 00:17:11,670 --> 00:17:14,010 Visual evidence is much easier to remember. 297 00:17:14,010 --> 00:17:16,910 And the assertions help people know what to look for. 298 00:17:16,910 --> 00:17:20,380 So they're not spending all their cycles, which they don't 299 00:17:20,380 --> 00:17:21,710 have that many of, because their short term 300 00:17:21,710 --> 00:17:23,990 memory's been filled up. 301 00:17:23,990 --> 00:17:25,990 They're spending their cycles trying to understand the 302 00:17:25,990 --> 00:17:27,630 visual evidence. 303 00:17:27,630 --> 00:17:32,140 And I posted a set of example slides with the [? text ?] 304 00:17:32,140 --> 00:17:32,530 source. 305 00:17:32,530 --> 00:17:34,140 There was a request for the [? text ?] 306 00:17:34,140 --> 00:17:38,000 source, so I posted that, as well, showing this method of 307 00:17:38,000 --> 00:17:40,680 presentation for the factorial, the logarithm of 308 00:17:40,680 --> 00:17:41,930 the factorial. 309 00:17:43,580 --> 00:17:47,810 And then the last one was [INAUDIBLE]. 310 00:17:56,290 --> 00:18:00,160 So maybe the summary could be-- 311 00:18:00,160 --> 00:18:02,240 the comment that was on one of the sheets was 312 00:18:02,240 --> 00:18:03,860 is there any hope? 313 00:18:03,860 --> 00:18:06,010 [LAUGHTER] 314 00:18:06,010 --> 00:18:10,680 PROFESSOR: And I think, well, that question-- 315 00:18:10,680 --> 00:18:13,140 it's coupled to another question. 316 00:18:13,140 --> 00:18:24,950 So the main theme from that is that social and educational 317 00:18:24,950 --> 00:18:26,200 change are coupled. 318 00:18:30,500 --> 00:18:32,940 So if there's no hope for education, 319 00:18:32,940 --> 00:18:34,910 there's no hope for society. 320 00:18:34,910 --> 00:18:38,910 Or alternatively, if there's hope for society, there's hope 321 00:18:38,910 --> 00:18:41,065 for education, and vice versa. 322 00:18:41,065 --> 00:18:44,750 So the main positive lesson from this is that by improving 323 00:18:44,750 --> 00:18:47,030 society, you improve education, and also, by 324 00:18:47,030 --> 00:18:49,470 improving education, you improve society. 325 00:18:49,470 --> 00:18:52,880 So that's one really good reason to want to be a teacher 326 00:18:52,880 --> 00:18:55,810 and to make teaching a part of your career, as I'm sure many 327 00:18:55,810 --> 00:18:58,690 of you are thinking about doing. 328 00:18:58,690 --> 00:19:01,310 So those are the short 329 00:19:01,310 --> 00:19:04,180 summaries of the nine sessions. 330 00:19:04,180 --> 00:19:07,580 And what I'd like to do now is give you a chance to ask any 331 00:19:07,580 --> 00:19:08,350 questions you have. 332 00:19:08,350 --> 00:19:10,620 We'll, of course, have our-- 333 00:19:10,620 --> 00:19:16,590 let's see, in 10 minutes, at 10 o'clock, we'll take a 10 334 00:19:16,590 --> 00:19:17,830 minute break. 335 00:19:17,830 --> 00:19:20,550 But before that, I want to start the question session. 336 00:19:20,550 --> 00:19:24,900 So the way we'll do that is if everyone could just look at 337 00:19:24,900 --> 00:19:27,840 your index card that you brought with a question, or it 338 00:19:27,840 --> 00:19:29,330 doesn't have to be an index card, it could be a sheet of 339 00:19:29,330 --> 00:19:34,080 paper, and spend one minute thinking about something that 340 00:19:34,080 --> 00:19:36,260 puzzles you, you wonder about, you're interested in, you'd 341 00:19:36,260 --> 00:19:40,870 like to know more about, about anything related to teaching, 342 00:19:40,870 --> 00:19:43,040 and check in with a neighbor or two. 343 00:19:43,040 --> 00:19:46,410 And then we'll just start doing questions. 344 00:19:46,410 --> 00:19:49,850 And then we'll have our break at 10:00. 345 00:19:49,850 --> 00:19:52,560 I'll leave all these guys up here, and 346 00:19:52,560 --> 00:19:55,852 I'll mark your questions. 347 00:19:55,852 --> 00:19:57,102 [INTERPOSING VOICES] 348 00:20:06,970 --> 00:20:10,820 PROFESSOR: Take another 10 or 20 seconds to formulate a 349 00:20:10,820 --> 00:20:16,620 question or formulate your thoughts, and we'll start. 350 00:20:19,550 --> 00:20:20,670 AUDIENCE: So-- 351 00:20:20,670 --> 00:20:21,390 PROFESSOR: [INAUDIBLE] 352 00:20:21,390 --> 00:20:21,830 yeah? 353 00:20:21,830 --> 00:20:23,370 AUDIENCE: Implicitly throughout this semester, 354 00:20:23,370 --> 00:20:28,740 we've been thinking that our audiences, like the college 355 00:20:28,740 --> 00:20:30,390 age audience-- 356 00:20:30,390 --> 00:20:34,602 so if you're teaching older people, [INAUDIBLE] 357 00:20:34,602 --> 00:20:38,460 things that you have to do differently? 358 00:20:38,460 --> 00:20:39,350 PROFESSOR: Good question. 359 00:20:39,350 --> 00:20:41,790 So let me repeat the question, and then also, that will give 360 00:20:41,790 --> 00:20:44,580 me a chance to bring in one of the other comments from the 361 00:20:44,580 --> 00:20:46,160 question sheets. 362 00:20:46,160 --> 00:20:51,710 So the question was what about teaching older learners, so 363 00:20:51,710 --> 00:20:56,680 people who aren't college age, so middle aged people? 364 00:20:56,680 --> 00:20:58,800 Do you have to do things differently? 365 00:20:58,800 --> 00:21:01,190 And now, before I answer that, let me say why 366 00:21:01,190 --> 00:21:02,210 I repeat the question. 367 00:21:02,210 --> 00:21:05,410 So their comment was that it's a good idea to repeat the 368 00:21:05,410 --> 00:21:09,770 question, because OCW asks that I repeat the question. 369 00:21:09,770 --> 00:21:12,180 Because the pick up, the microphone pick up, I guess, 370 00:21:12,180 --> 00:21:16,650 is here, and it picks up me much better than the audience. 371 00:21:16,650 --> 00:21:18,960 So it's good for that, but it's also good, as the 372 00:21:18,960 --> 00:21:20,150 commenter pointed out. 373 00:21:20,150 --> 00:21:24,270 It's good, because it shows the students who are asking 374 00:21:24,270 --> 00:21:25,970 the question that I actually value their questions. 375 00:21:25,970 --> 00:21:28,680 Because I'm actually telling everybody, look, this is 376 00:21:28,680 --> 00:21:30,730 something we should all be thinking about. 377 00:21:30,730 --> 00:21:32,870 So it brings the whole class together around it, and it 378 00:21:32,870 --> 00:21:34,860 also gives me time to think about the question. 379 00:21:34,860 --> 00:21:36,790 Although, in this case, I didn't actually use any of 380 00:21:36,790 --> 00:21:38,460 that time to think about the question, so let me think 381 00:21:38,460 --> 00:21:40,820 about the question now. 382 00:21:40,820 --> 00:21:42,810 So I'm not sure it actually gives you that much time. 383 00:21:42,810 --> 00:21:45,000 It gives you one or two seconds. 384 00:21:45,000 --> 00:21:48,400 But actually, if you want one or two seconds, it's best to 385 00:21:48,400 --> 00:21:51,480 just sit there still and think for one or two seconds. 386 00:21:51,480 --> 00:21:52,580 So that's what I'm going to do now. 387 00:21:52,580 --> 00:21:58,544 [LAUGHTER] 388 00:22:02,440 --> 00:22:04,420 PROFESSOR: So now I waited actually four seconds just to 389 00:22:04,420 --> 00:22:06,860 show that it's possible to do that, though difficult. 390 00:22:06,860 --> 00:22:09,120 [LAUGHTER] 391 00:22:09,120 --> 00:22:12,270 PROFESSOR: So there are some things that are different. 392 00:22:12,270 --> 00:22:16,370 And I would say one of the main differences is not just 393 00:22:16,370 --> 00:22:18,800 the misconceptions, but the conceptions of learning that 394 00:22:18,800 --> 00:22:20,170 people have. 395 00:22:20,170 --> 00:22:26,340 So for example, you might be teaching people who just 396 00:22:26,340 --> 00:22:29,310 failed out of math in school and never did math again, and 397 00:22:29,310 --> 00:22:31,690 now you want to help them learn math. 398 00:22:31,690 --> 00:22:33,570 Or you want to help them learn reading, and they always 399 00:22:33,570 --> 00:22:35,230 thought of themselves as terrible readers. 400 00:22:35,230 --> 00:22:41,705 So now they've imbibed the lesson of the blue eyes brown 401 00:22:41,705 --> 00:22:44,610 eyes experiment, which is that they're bad at this-- for 402 00:22:44,610 --> 00:22:46,290 whatever reason, it's their fault. 403 00:22:46,290 --> 00:22:48,370 And we're very good at that. 404 00:22:48,370 --> 00:22:50,180 We're very good at passing blame. 405 00:22:50,180 --> 00:22:52,000 So why didn't people learn physics? 406 00:22:52,000 --> 00:22:53,950 Well, physics is a very hard subject. 407 00:22:53,950 --> 00:22:54,870 It's not that we teach it terribly, 408 00:22:54,870 --> 00:22:56,290 it's a very hard subject. 409 00:22:56,290 --> 00:22:58,300 So basically, we're saying, blame the victim. 410 00:22:58,300 --> 00:22:59,490 I know that's very convenient. 411 00:22:59,490 --> 00:23:03,320 But after a while of that, the victim actually starts to get 412 00:23:03,320 --> 00:23:05,010 Stockholm Syndrome. 413 00:23:05,010 --> 00:23:08,610 So they start to identify with their captors. 414 00:23:08,610 --> 00:23:10,960 And they agree, yes, physics is a really hard subject. 415 00:23:10,960 --> 00:23:13,380 I never had a head for physics. 416 00:23:13,380 --> 00:23:17,900 So as an experiment for that, next time you go to a party, 417 00:23:17,900 --> 00:23:19,320 ask people what you do-- 418 00:23:19,320 --> 00:23:22,400 I mean, obviously not a party of other graduate students in 419 00:23:22,400 --> 00:23:25,560 science and engineering, because that test 420 00:23:25,560 --> 00:23:26,430 wouldn't work here. 421 00:23:26,430 --> 00:23:31,410 But just for example, my office mate, when I was a 422 00:23:31,410 --> 00:23:33,870 graduate student, he used to live in Hollywood, in 423 00:23:33,870 --> 00:23:34,950 Hollywood, itself. 424 00:23:34,950 --> 00:23:36,880 So he used to go to parties, and his roommate 425 00:23:36,880 --> 00:23:39,350 was a script rewriter. 426 00:23:39,350 --> 00:23:42,820 So his roommate would actually-- 427 00:23:42,820 --> 00:23:45,850 scripts that were considered too bad even to make movies 428 00:23:45,850 --> 00:23:48,210 out of, but they really thought they should make a 429 00:23:48,210 --> 00:23:49,890 movie out of it, because they thought they could make a lot 430 00:23:49,890 --> 00:23:51,960 of money if they just rewrote the script a bit, so like 431 00:23:51,960 --> 00:23:55,220 D-grade scripts that needed to be made C-grade, his roommate 432 00:23:55,220 --> 00:23:55,910 rewrote them. 433 00:23:55,910 --> 00:23:57,310 So he had a lot of Hollywood connections. 434 00:23:57,310 --> 00:24:01,140 So he had a lot of parties with people who weren't from 435 00:24:01,140 --> 00:24:02,670 Caltech, which was good. 436 00:24:02,670 --> 00:24:05,120 So go to a party like that, and when people say, 437 00:24:05,120 --> 00:24:06,220 oh what do you do? 438 00:24:06,220 --> 00:24:09,140 Say, oh I'm a chemistry graduate [? student, ?] 439 00:24:09,140 --> 00:24:13,870 I teach physics, or I'm a TA for this class, or I'm working 440 00:24:13,870 --> 00:24:17,230 on a Ph.D. in mathematics. 441 00:24:17,230 --> 00:24:19,136 And just watch how fast people run. 442 00:24:19,136 --> 00:24:20,990 [LAUGHTER] 443 00:24:20,990 --> 00:24:25,620 PROFESSOR: So if they're not very polite, they'll say oh, 444 00:24:25,620 --> 00:24:27,050 what do you do? 445 00:24:27,050 --> 00:24:28,260 Right? 446 00:24:28,260 --> 00:24:32,760 But if they're more polite, they'll actually say, oh, 447 00:24:32,760 --> 00:24:34,790 yeah, I always was terrible with that. 448 00:24:34,790 --> 00:24:37,580 That was never my thing. 449 00:24:37,580 --> 00:24:40,660 And this is so prevalent. 450 00:24:40,660 --> 00:24:43,320 So now, what do you have to do in that case? 451 00:24:43,320 --> 00:24:45,480 So that's their misconception. 452 00:24:45,480 --> 00:24:47,585 And so number three up there, you have to really take 453 00:24:47,585 --> 00:24:49,180 account of that. 454 00:24:49,180 --> 00:24:51,575 Their way of thinking about math and physics, the way that 455 00:24:51,575 --> 00:24:54,115 it was taught to them completely did not work, and 456 00:24:54,115 --> 00:24:56,440 it just produced fear and phobia. 457 00:24:56,440 --> 00:24:59,530 So now what you have to do is you have to go around that. 458 00:24:59,530 --> 00:25:02,090 And so one of the ways actually Brian Butterworth, 459 00:25:02,090 --> 00:25:05,130 who actually studies this-- he's a professor of 460 00:25:05,130 --> 00:25:08,110 neurophysiology, in London. 461 00:25:08,110 --> 00:25:10,680 And I mentioned his book a couple times, I think, it's 462 00:25:10,680 --> 00:25:15,340 called The Mathematical Brain or What Counts, depending on 463 00:25:15,340 --> 00:25:17,430 whether it's the English or American title. 464 00:25:17,430 --> 00:25:23,020 So math phobia a lot caused by people having a fear that 465 00:25:23,020 --> 00:25:25,530 there's only one way to get the right answer. 466 00:25:25,530 --> 00:25:29,280 So they think they're walking across a tight rope, and if 467 00:25:29,280 --> 00:25:33,230 you make it one misstep, then you fall into the abyss. 468 00:25:33,230 --> 00:25:35,090 And so, of course, if you have that conception of 469 00:25:35,090 --> 00:25:37,620 mathematical reasoning and problem solving, you're going 470 00:25:37,620 --> 00:25:39,740 to have a lot of fear. 471 00:25:39,740 --> 00:25:40,770 So what you have to do is you have to 472 00:25:40,770 --> 00:25:44,090 show people, no, actually-- 473 00:25:44,090 --> 00:25:46,490 right over here. 474 00:25:46,490 --> 00:25:59,780 So if this was their model, that if that's the one way to 475 00:25:59,780 --> 00:26:04,050 get to the solution, actually you want to show them not 476 00:26:04,050 --> 00:26:18,600 that, and show them even dead ends. 477 00:26:18,600 --> 00:26:20,560 Not every method of solution will work out. 478 00:26:20,560 --> 00:26:23,660 Some might just end up there, and some might end up there. 479 00:26:23,660 --> 00:26:26,490 And some connect to other methods and get to a solution. 480 00:26:26,490 --> 00:26:29,750 And even maybe, that's one solution, but 481 00:26:29,750 --> 00:26:31,000 maybe there's two. 482 00:26:33,840 --> 00:26:37,300 So you want to show them that there's robust paths across 483 00:26:37,300 --> 00:26:39,420 the river, let's say. 484 00:26:39,420 --> 00:26:41,660 You're not trying to, for example, jump Niagara Falls, 485 00:26:41,660 --> 00:26:43,980 where one misstep and down you go. 486 00:26:43,980 --> 00:26:46,080 So that's a way of reducing the math phobia. 487 00:26:46,080 --> 00:26:48,740 Now that's a particular example, but that's an example 488 00:26:48,740 --> 00:26:52,800 of how you have to think slightly differently for the 489 00:26:52,800 --> 00:26:53,370 adult learner. 490 00:26:53,370 --> 00:26:55,950 The reason is that they've had longer time to internalize the 491 00:26:55,950 --> 00:26:57,250 misconception. 492 00:26:57,250 --> 00:27:01,430 The high school student, for example, they haven't 493 00:27:01,430 --> 00:27:03,930 necessarily formed their own view of them self. 494 00:27:03,930 --> 00:27:06,300 And it's less true at the college level, that people are 495 00:27:06,300 --> 00:27:08,950 starting to form their view of self more and more, but it's 496 00:27:08,950 --> 00:27:10,510 still changeable, especially in America. 497 00:27:10,510 --> 00:27:13,230 And that's one really excellent part of the American 498 00:27:13,230 --> 00:27:14,360 university system. 499 00:27:14,360 --> 00:27:17,060 So you may not realize it if you come from America, but in 500 00:27:17,060 --> 00:27:19,320 almost every other country in the world, when you go to 501 00:27:19,320 --> 00:27:23,400 university, you pick your subject and that's what you do 502 00:27:23,400 --> 00:27:25,660 for the rest of the university time. 503 00:27:25,660 --> 00:27:29,200 So England, for example, it's even before that. 504 00:27:29,200 --> 00:27:31,900 If you want to do physics at Cambridge, you have to have 505 00:27:31,900 --> 00:27:33,940 done, for the last two years of high school-- 506 00:27:33,940 --> 00:27:35,850 basically everyone who did physics at Cambridge did 507 00:27:35,850 --> 00:27:41,120 physics, math, chemistry, and further maths, I should say. 508 00:27:41,120 --> 00:27:42,670 So further maths are just more maths-- 509 00:27:42,670 --> 00:27:47,120 basically like DE calculus. 510 00:27:47,120 --> 00:27:51,000 so they did, for the last two years of school, only math and 511 00:27:51,000 --> 00:27:52,630 physics and chemistry courses. 512 00:27:52,630 --> 00:27:54,560 And then they go on to university, and 513 00:27:54,560 --> 00:27:55,880 they do just physics. 514 00:27:55,880 --> 00:27:58,330 And Cambridge had a radical innovation on that, which was 515 00:27:58,330 --> 00:28:01,060 that in the first year, you didn't do just physics, you 516 00:28:01,060 --> 00:28:06,320 did physics, math, chemistry, and maybe a fourth subject. 517 00:28:06,320 --> 00:28:10,390 So that was considered really very progressive. 518 00:28:10,390 --> 00:28:11,750 And it was compared to the rest of 519 00:28:11,750 --> 00:28:13,380 the educational system. 520 00:28:13,380 --> 00:28:16,090 So in Europe, in general, there isn't that freedom. 521 00:28:16,090 --> 00:28:17,340 So in America, you still have it. 522 00:28:17,340 --> 00:28:19,560 So the students in college are still going to be quite 523 00:28:19,560 --> 00:28:21,760 different from the people who've basically fixed their 524 00:28:21,760 --> 00:28:24,680 view of them self as bad at math or bad at whatever. 525 00:28:24,680 --> 00:28:28,200 And that's one of the things that you change when you're 526 00:28:28,200 --> 00:28:31,400 thinking about adult learners. 527 00:28:31,400 --> 00:28:34,740 I'll take one question back there, and then 528 00:28:34,740 --> 00:28:36,041 we'll have our break. 529 00:28:36,041 --> 00:28:38,553 AUDIENCE: So towards the beginning of the class, we 530 00:28:38,553 --> 00:28:41,230 talked about the experiment in math teaching in New Hampshire 531 00:28:41,230 --> 00:28:42,610 PROFESSOR: Benezet, the experiment? 532 00:28:42,610 --> 00:28:44,110 AUDIENCE: Yeah, the Benezet experiment. 533 00:28:44,110 --> 00:28:46,205 I don't think we ever really got to figuring out what 534 00:28:46,205 --> 00:28:48,103 happened to that. 535 00:28:48,103 --> 00:28:50,750 [INAUDIBLE]. 536 00:28:50,750 --> 00:28:52,400 PROFESSOR: So what happened to the Benezet 537 00:28:52,400 --> 00:28:53,790 experiment in New Hampshire? 538 00:28:53,790 --> 00:28:58,830 So Louis Benezet was superintendent of schools in 539 00:28:58,830 --> 00:29:04,710 Manchester, New Hampshire from 1924 to 1938. 540 00:29:04,710 --> 00:29:05,830 And so what happened? 541 00:29:05,830 --> 00:29:08,980 If it was so great, where is it now? 542 00:29:08,980 --> 00:29:13,560 So I might have mentioned that I actually went and did 543 00:29:13,560 --> 00:29:15,350 research on what happened to it. 544 00:29:15,350 --> 00:29:17,930 And I went to the Manchester, New Hampshire school board and 545 00:29:17,930 --> 00:29:21,320 just spent a whole day in their archives reading all the 546 00:29:21,320 --> 00:29:25,080 minutes of all the school board discussions about it and 547 00:29:25,080 --> 00:29:28,040 all the votes about Benezet and whether to reappoint him 548 00:29:28,040 --> 00:29:30,780 as superintendent or what to do about the curriculum. 549 00:29:30,780 --> 00:29:37,590 And basically, what happened was two things. 550 00:29:37,590 --> 00:29:40,690 So first of all, there was extensive studies done showing 551 00:29:40,690 --> 00:29:43,280 that the curriculum was very successful. 552 00:29:43,280 --> 00:29:44,950 So one study was by-- 553 00:29:50,030 --> 00:29:53,560 so Etta Berman, she was a teacher in 554 00:29:53,560 --> 00:29:56,990 Manchester in the program. 555 00:29:56,990 --> 00:29:59,650 And then she did her master's in education I'm pretty sure 556 00:29:59,650 --> 00:30:02,120 at Boston University. 557 00:30:02,120 --> 00:30:04,490 Yes, I'm sure it is, because you can find her thesis in the 558 00:30:04,490 --> 00:30:05,550 Boston University library. 559 00:30:05,550 --> 00:30:12,660 So her education thesis was an assessment of how the students 560 00:30:12,660 --> 00:30:14,330 did in that experimental program 561 00:30:14,330 --> 00:30:16,290 versus the regular program. 562 00:30:16,290 --> 00:30:18,530 And the students in the experimental program were just 563 00:30:18,530 --> 00:30:19,640 much better. 564 00:30:19,640 --> 00:30:21,470 It was just totally clear. 565 00:30:21,470 --> 00:30:22,620 So now what happened? 566 00:30:22,620 --> 00:30:27,140 Well, what happened, partly, I think a lot of it is what 567 00:30:27,140 --> 00:30:30,326 Alfie Kohn article about "Not for my Kid: How Privileged 568 00:30:30,326 --> 00:30:35,290 Parents Undermine School Reform." So there was huge 569 00:30:35,290 --> 00:30:38,910 opposition from the privileged parents. 570 00:30:38,910 --> 00:30:41,610 And so I interviewed some of the people who had those 571 00:30:41,610 --> 00:30:44,290 privileged parents and who had taken that curriculum 572 00:30:44,290 --> 00:30:45,900 50 or 60 years ago. 573 00:30:45,900 --> 00:30:49,090 And one of them was later mayor of Manchester, and he 574 00:30:49,090 --> 00:30:52,030 said his parents just hated the curriculum. 575 00:30:52,030 --> 00:30:57,040 So generally, the people whose parents were foreign, for 576 00:30:57,040 --> 00:31:01,530 example, French Quebecois who had come to New Hampshire, had 577 00:31:01,530 --> 00:31:04,560 to work in the mills, the non-English speakers, the 578 00:31:04,560 --> 00:31:07,750 lower middle class, it was OK, and it was fine. 579 00:31:07,750 --> 00:31:10,590 And the ones I talked to from that background loved the 580 00:31:10,590 --> 00:31:11,060 curriculum. 581 00:31:11,060 --> 00:31:12,780 And then the few who really hated it were actually 582 00:31:12,780 --> 00:31:15,190 socially quite powerful, and they came from the 583 00:31:15,190 --> 00:31:18,210 predominately English speaking families. 584 00:31:18,210 --> 00:31:22,680 And they hated that he wasn't, for example, giving homework. 585 00:31:22,680 --> 00:31:24,730 Because he said, if you have eight hours of school, what 586 00:31:24,730 --> 00:31:26,730 more homework do you need, which I 587 00:31:26,730 --> 00:31:28,590 think is actually true. 588 00:31:28,590 --> 00:31:31,590 If you can't teach people in eight hours a day, that's 589 00:31:31,590 --> 00:31:32,130 ridiculous. 590 00:31:32,130 --> 00:31:34,700 That's 40 hours a week. 591 00:31:34,700 --> 00:31:37,970 So why are you giving them still more homework? 592 00:31:37,970 --> 00:31:39,820 So he didn't have homework, he had them actually learn in 593 00:31:39,820 --> 00:31:43,560 school, which is one of the benefits 594 00:31:43,560 --> 00:31:44,540 of interactive teaching. 595 00:31:44,540 --> 00:31:47,320 If your lecture is no longer dictation, you are actually 596 00:31:47,320 --> 00:31:49,670 learning, you don't have to do a lot of stuff out of school. 597 00:31:49,670 --> 00:31:52,000 So there was opposition, there. 598 00:31:52,000 --> 00:31:55,600 And what happened was the votes in the school board went 599 00:31:55,600 --> 00:31:56,850 something like this. 600 00:31:59,950 --> 00:32:01,640 So this is t. 601 00:32:01,640 --> 00:32:07,550 So this is 1938 and 1924. 602 00:32:07,550 --> 00:32:17,610 And this is the votes in favor, minus against. 603 00:32:17,610 --> 00:32:19,780 They went roughly like this. 604 00:32:19,780 --> 00:32:25,100 So the school board, I think it had 15 people 605 00:32:25,100 --> 00:32:26,310 on it, or 14 people. 606 00:32:26,310 --> 00:32:27,760 It depended, sometimes one person wasn't 607 00:32:27,760 --> 00:32:29,160 on the school board. 608 00:32:29,160 --> 00:32:32,940 So the first votes were something like 13 to 1, so in 609 00:32:32,940 --> 00:32:36,370 other words, plus 12. 610 00:32:36,370 --> 00:32:40,620 And then, over here, 1924, when he was first appointed, 611 00:32:40,620 --> 00:32:44,080 and then the votes went like this, and then it started 612 00:32:44,080 --> 00:32:45,630 going down like that. 613 00:32:45,630 --> 00:32:47,510 And by 1938-- 614 00:32:47,510 --> 00:32:50,130 so there was votes taken every three or four years, or two 615 00:32:50,130 --> 00:32:52,990 years, whether to renew the appointment, because 616 00:32:52,990 --> 00:32:54,240 that was the term. 617 00:32:54,240 --> 00:32:59,730 And by here, the vote was 6 to 6 right here. 618 00:32:59,730 --> 00:33:01,880 Yeah, that's right-- it was 6 to 6 in 1937. 619 00:33:01,880 --> 00:33:08,210 And then what happened in 1938 was they didn't vote to not 620 00:33:08,210 --> 00:33:12,290 take him on, but what they did is they voted to use a 621 00:33:12,290 --> 00:33:14,320 standard textbook. 622 00:33:14,320 --> 00:33:15,950 So they voted to use a standard textbook in the 623 00:33:15,950 --> 00:33:21,140 curriculum, and then the curriculum was then declared 624 00:33:21,140 --> 00:33:22,960 incompatible with the standard textbook. 625 00:33:22,960 --> 00:33:25,200 Of course, the standard textbook was pretty terrible. 626 00:33:25,200 --> 00:33:26,490 Well, I don't know the textbook, personally. 627 00:33:26,490 --> 00:33:28,400 But I'm sure, given the state of standard 628 00:33:28,400 --> 00:33:30,840 textbooks, then and now. 629 00:33:30,840 --> 00:33:33,380 And it certainly wasn't the progressive, understand the 630 00:33:33,380 --> 00:33:35,620 algorithms approach that Benezet had. 631 00:33:35,620 --> 00:33:39,080 So then the textbook was instituted, and the curriculum 632 00:33:39,080 --> 00:33:40,640 was basically killed off, like that. 633 00:33:40,640 --> 00:33:43,580 So then Benezet left for a professorship of 634 00:33:43,580 --> 00:33:46,310 education at Dartmouth. 635 00:33:46,310 --> 00:33:49,930 And then, after Benezet left-- so this is Benezet-- 636 00:33:54,190 --> 00:33:58,050 Benezet left, the new superintendent put in a, 637 00:33:58,050 --> 00:34:00,510 basically, drill and kill curriculum with lots of 638 00:34:00,510 --> 00:34:04,225 testing and the standard now. 639 00:34:04,225 --> 00:34:09,400 There was No Child Left Behind 60 years before or 70 years 640 00:34:09,400 --> 00:34:11,560 before its time. 641 00:34:11,560 --> 00:34:13,989 But the curriculum was very successful, and it was 642 00:34:13,989 --> 00:34:18,139 basically killed off by opposition from wealthy 643 00:34:18,139 --> 00:34:23,250 parents and, to be fair, Benezet didn't help his case. 644 00:34:23,250 --> 00:34:26,840 So a couple of the students told me that actually when the 645 00:34:26,840 --> 00:34:29,889 students wouldn't answer things in class, he would 646 00:34:29,889 --> 00:34:31,139 sometimes make fun of them. 647 00:34:31,139 --> 00:34:32,250 [LAUGHTER] 648 00:34:32,250 --> 00:34:33,260 PROFESSOR: Now that's terrible. 649 00:34:33,260 --> 00:34:35,469 I mean it's terrible just on moral grounds, but also it's 650 00:34:35,469 --> 00:34:37,909 terrible political strategy. 651 00:34:37,909 --> 00:34:42,159 Because now, the kids will tell their parents, and if the 652 00:34:42,159 --> 00:34:45,350 parents needed ammunition, at all, there they have it. 653 00:34:45,350 --> 00:34:48,123 And so Benezet was just arming the enemy too. 654 00:34:48,123 --> 00:34:49,542 Yeah? 655 00:34:49,542 --> 00:34:53,629 AUDIENCE: If, presumably, most or all of us would be teaching 656 00:34:53,629 --> 00:34:56,247 college level courses, we don't have 657 00:34:56,247 --> 00:34:58,340 to worry about parents. 658 00:34:58,340 --> 00:35:00,065 [LAUGHTER] 659 00:35:00,065 --> 00:35:01,540 [INTERPOSING VOICES] 660 00:35:01,540 --> 00:35:02,750 PROFESSOR: Good question. 661 00:35:02,750 --> 00:35:04,960 AUDIENCE: [INAUDIBLE]. 662 00:35:04,960 --> 00:35:05,900 PROFESSOR: Hey. 663 00:35:05,900 --> 00:35:07,310 AUDIENCE: Is it a comparable force to the parents 664 00:35:07,310 --> 00:35:09,660 [INAUDIBLE]? 665 00:35:09,660 --> 00:35:10,330 PROFESSOR: Yes, there is. 666 00:35:10,330 --> 00:35:10,880 Good question. 667 00:35:10,880 --> 00:35:13,490 So is there a comparable force in college education to 668 00:35:13,490 --> 00:35:15,870 parents with privilege? 669 00:35:15,870 --> 00:35:17,400 Yeah, and unfortunately it's one's 670 00:35:17,400 --> 00:35:20,390 colleagues on the faculty. 671 00:35:20,390 --> 00:35:23,710 The reason is because they were the ones who did well by 672 00:35:23,710 --> 00:35:25,690 the old system. 673 00:35:25,690 --> 00:35:32,210 And so now a change is likely to be misinterpreted or maybe 674 00:35:32,210 --> 00:35:35,730 rightly interpreted as well, this isn't for the benefit of 675 00:35:35,730 --> 00:35:37,560 the top 5%. 676 00:35:37,560 --> 00:35:39,390 So we can't do it. 677 00:35:39,390 --> 00:35:43,395 So for example, interactive teaching is often criticized 678 00:35:43,395 --> 00:35:45,880 as well, that's really useful for the people who aren't 679 00:35:45,880 --> 00:35:47,540 learning anything, but the top 5%, it will 680 00:35:47,540 --> 00:35:49,130 just slow them down. 681 00:35:49,130 --> 00:35:50,310 So we can't possibly do it. 682 00:35:50,310 --> 00:35:52,650 So the wars about interactive teaching turn on 683 00:35:52,650 --> 00:35:53,690 a lot of that question. 684 00:35:53,690 --> 00:35:56,010 And that is a very similar force. 685 00:35:56,010 --> 00:35:58,365 Because people are saying well, it's those people who 686 00:35:58,365 --> 00:36:00,060 are just like me, because they're the ones who are going 687 00:36:00,060 --> 00:36:02,210 to become future faculty. 688 00:36:02,210 --> 00:36:04,640 And those ones aren't going to be benefited by the system. 689 00:36:04,640 --> 00:36:06,810 Now I think, empirically, that's not true. 690 00:36:06,810 --> 00:36:10,290 I think they are actually benefited, as well. 691 00:36:10,290 --> 00:36:11,990 And Benezet found that too. 692 00:36:11,990 --> 00:36:13,870 It wasn't that some people did worse. 693 00:36:13,870 --> 00:36:15,500 They were all doing better. 694 00:36:15,500 --> 00:36:19,930 But it's the intensity of the response that you get to 695 00:36:19,930 --> 00:36:24,420 things sometimes in that vein shows that its an underlying 696 00:36:24,420 --> 00:36:28,560 social force and not just purely a cognitive reason. 697 00:36:28,560 --> 00:36:33,704 Is that what you were thinking about? 698 00:36:33,704 --> 00:36:34,590 AUDIENCE: [INAUDIBLE]. 699 00:36:34,590 --> 00:36:39,010 PROFESSOR: OK so 10:08, so 10:18, we'll start again with 700 00:36:39,010 --> 00:36:40,280 more questions. 701 00:36:40,280 --> 00:36:41,530 [INTERPOSING VOICES] 702 00:36:45,060 --> 00:36:48,000 PROFESSOR: So I know there are several more questions, 703 00:36:48,000 --> 00:36:51,077 because I already have two in the queue. 704 00:36:51,077 --> 00:36:51,534 Go ahead. 705 00:36:51,534 --> 00:36:52,450 AUDIENCE: My question is-- 706 00:36:52,450 --> 00:36:53,490 PROFESSOR: And then [? Lortis. ?] 707 00:36:53,490 --> 00:36:54,140 Yeah? 708 00:36:54,140 --> 00:36:57,990 AUDIENCE: What do you do when you're confronted with a 709 00:36:57,990 --> 00:37:01,570 question you don't know the answer to. 710 00:37:01,570 --> 00:37:03,020 PROFESSOR: What do you-- 711 00:37:03,020 --> 00:37:03,911 I don't know? 712 00:37:03,911 --> 00:37:04,342 No, sorry. 713 00:37:04,342 --> 00:37:06,500 [LAUGHTER] 714 00:37:06,500 --> 00:37:06,630 PROFESSOR: No, no, no. 715 00:37:06,630 --> 00:37:08,770 The question was, what do you do when you're confronted with 716 00:37:08,770 --> 00:37:11,030 a question that you don't know the answer to? 717 00:37:11,030 --> 00:37:13,870 And my answer was I have no idea. 718 00:37:13,870 --> 00:37:17,360 No, there's good answers to that question, and hopefully, 719 00:37:17,360 --> 00:37:19,200 I'll give you one of them. 720 00:37:19,200 --> 00:37:26,410 So I would say the number one thing is not to bullshit. 721 00:37:26,410 --> 00:37:28,000 That can only end-- 722 00:37:28,000 --> 00:37:30,990 at best, it won't end in disaster. 723 00:37:30,990 --> 00:37:34,430 But it can end in disaster. 724 00:37:34,430 --> 00:37:35,470 The first thing-- 725 00:37:35,470 --> 00:37:38,920 so if you don't know the answer to it, but you have to 726 00:37:38,920 --> 00:37:41,590 think of what's going to get triggered in you? 727 00:37:41,590 --> 00:37:43,620 So if it's something, for example, really related to the 728 00:37:43,620 --> 00:37:46,755 material, you're more likely to get triggered and think-- 729 00:37:46,755 --> 00:37:47,370 [GASPS] 730 00:37:47,370 --> 00:37:47,980 Excuse me. 731 00:37:47,980 --> 00:37:50,340 Oh, I should have known the answer that, I must be a lousy 732 00:37:50,340 --> 00:37:53,420 teacher, how will they ever respect me again? 733 00:37:53,420 --> 00:37:56,320 So if you remember the discussion we had last time in 734 00:37:56,320 --> 00:37:59,720 political barriers about the three levels at which 735 00:37:59,720 --> 00:38:03,240 conversations are carried on, so this was from difficult 736 00:38:03,240 --> 00:38:06,300 conversations, there's the factual level, the emotional 737 00:38:06,300 --> 00:38:07,760 level, and the meaning level. 738 00:38:07,760 --> 00:38:10,980 So the fact level is that someone just asked you a 739 00:38:10,980 --> 00:38:14,240 question, and you don't know the answer right away. 740 00:38:14,240 --> 00:38:18,260 The emotional reaction, and the emotional transmission, is 741 00:38:18,260 --> 00:38:21,580 oh my God, I feel worried and nervous. 742 00:38:21,580 --> 00:38:25,460 And then the meaning level is oh, what does 743 00:38:25,460 --> 00:38:26,250 that mean for me? 744 00:38:26,250 --> 00:38:27,720 Oh, it means that I'm a bad teacher. 745 00:38:27,720 --> 00:38:29,070 They found me out. 746 00:38:29,070 --> 00:38:30,420 I'm really not supposed to be here. 747 00:38:30,420 --> 00:38:32,690 [LAUGHTER] 748 00:38:32,690 --> 00:38:34,720 PROFESSOR: So that same thing happens with students when you 749 00:38:34,720 --> 00:38:36,290 ask them a question, and they don't know. 750 00:38:36,290 --> 00:38:39,230 So you want to create structures where that bad 751 00:38:39,230 --> 00:38:40,870 meaning, isn't triggered. 752 00:38:40,870 --> 00:38:43,780 So you want to just pause, first of all. 753 00:38:43,780 --> 00:38:46,680 The reason is, if you don't pause, then you're more likely 754 00:38:46,680 --> 00:38:48,920 to act out, based on the emotion. 755 00:38:48,920 --> 00:38:51,960 So I've seen this happen several times when I was a 756 00:38:51,960 --> 00:38:53,210 graduate student. 757 00:38:57,040 --> 00:38:59,340 So this is sometimes when the person didn't know, but in 758 00:38:59,340 --> 00:39:02,130 general, when they were somehow challenged by a 759 00:39:02,130 --> 00:39:04,770 question, so either way, whether it's because you don't 760 00:39:04,770 --> 00:39:08,310 know the answer, or because the student's tone has some 761 00:39:08,310 --> 00:39:12,360 kind of cheekiness to it, and you feel a bit of insolence, 762 00:39:12,360 --> 00:39:15,690 and then you think, I'm the teacher God dammit, how dare 763 00:39:15,690 --> 00:39:17,740 you talk to me like that? 764 00:39:17,740 --> 00:39:21,940 So that emotional reaction, or that challenge, that worry, 765 00:39:21,940 --> 00:39:25,710 that anxiety about your authority will produce a bad 766 00:39:25,710 --> 00:39:27,850 response, in general. 767 00:39:27,850 --> 00:39:30,540 So if you just, right away, respond, you are likely to do 768 00:39:30,540 --> 00:39:31,070 bad things. 769 00:39:31,070 --> 00:39:33,430 And this is a thing I've seen happen a few times, is where 770 00:39:33,430 --> 00:39:36,800 you put the student down, you compete with the student, you 771 00:39:36,800 --> 00:39:40,020 say things like, well, how could you not know that? 772 00:39:40,020 --> 00:39:41,470 And you dismiss the question. 773 00:39:41,470 --> 00:39:46,470 So if you pause for just one or two seconds, even an 774 00:39:46,470 --> 00:39:49,510 instant after you practice it, just the pausing to realize 775 00:39:49,510 --> 00:39:53,820 oh, wait a minute, I just had an emotional reaction happen, 776 00:39:53,820 --> 00:39:57,760 I felt in my body, I got a bit sweaty, my palms sweated, 777 00:39:57,760 --> 00:40:00,530 whatever it may be that your particular reaction is. 778 00:40:00,530 --> 00:40:03,870 I feel it often in my face-- my face gets warm. 779 00:40:03,870 --> 00:40:09,520 If you remember, way back when we were doing-- 780 00:40:09,520 --> 00:40:11,330 was it the wood blocks or the cones? 781 00:40:11,330 --> 00:40:12,480 No, it was the cones. 782 00:40:12,480 --> 00:40:14,040 I was dropping the cones. 783 00:40:14,040 --> 00:40:17,510 And there was a question when it was time for questions and 784 00:40:17,510 --> 00:40:17,980 discussion. 785 00:40:17,980 --> 00:40:21,975 One person said, oh, the answer is block, and I've seen 786 00:40:21,975 --> 00:40:26,970 you do it before, and I just remember just feeling flushed. 787 00:40:26,970 --> 00:40:30,120 I was like, this is not the time to answer that question. 788 00:40:30,120 --> 00:40:30,950 So it's the same thing. 789 00:40:30,950 --> 00:40:33,290 So that's lesson number one is to pause. 790 00:40:33,290 --> 00:40:35,920 And then you can think and regroup and have 791 00:40:35,920 --> 00:40:36,950 a reflective response. 792 00:40:36,950 --> 00:40:39,680 The reflective response may be, oh, that's a really 793 00:40:39,680 --> 00:40:42,710 interesting question, I'd never thought about that, but 794 00:40:42,710 --> 00:40:44,450 I'm going to think about that tonight, and I'll tell 795 00:40:44,450 --> 00:40:45,510 you the next time. 796 00:40:45,510 --> 00:40:46,940 That's perfectly fine. 797 00:40:46,940 --> 00:40:48,780 Another one is you can try to figure 798 00:40:48,780 --> 00:40:50,460 out the answer together. 799 00:40:50,460 --> 00:40:52,250 You say, well I'm not sure, but let's see if we can figure 800 00:40:52,250 --> 00:40:53,730 out the answer in the next minute or two. 801 00:40:53,730 --> 00:40:57,010 If not, I'll work on it in the evening or work on it tomorrow 802 00:40:57,010 --> 00:40:57,810 and tell you. 803 00:40:57,810 --> 00:40:59,960 And then you can try it together, and students have 804 00:40:59,960 --> 00:41:01,230 the advantage of seeing how you would 805 00:41:01,230 --> 00:41:02,810 reason about a question. 806 00:41:02,810 --> 00:41:07,760 And it helps if you do that intentionally. 807 00:41:07,760 --> 00:41:11,160 Because there's a general rule of thumb which is that one's 808 00:41:11,160 --> 00:41:16,370 facility with equations declines with distance to the 809 00:41:16,370 --> 00:41:18,210 blackboard. 810 00:41:18,210 --> 00:41:20,850 So the closer to the blackboard, the lower the 811 00:41:20,850 --> 00:41:21,870 facility of the equation. 812 00:41:21,870 --> 00:41:24,490 So if you just leap to the blackboard and start writing, 813 00:41:24,490 --> 00:41:27,500 you're likely to feel too nervous and actually just mess 814 00:41:27,500 --> 00:41:28,530 it up just because of that. 815 00:41:28,530 --> 00:41:30,980 So if you say, well, let's actually think about doing 816 00:41:30,980 --> 00:41:33,650 this together, think about what you might do, and think 817 00:41:33,650 --> 00:41:35,780 about some approaches, then go to the blackboard and maybe 818 00:41:35,780 --> 00:41:36,560 start working. 819 00:41:36,560 --> 00:41:38,780 And when you have your out, it doesn't work in two minutes, 820 00:41:38,780 --> 00:41:42,340 you say look, it's a good question. 821 00:41:42,340 --> 00:41:43,670 I clearly need to think about this some 822 00:41:43,670 --> 00:41:45,410 more, and I'll do that. 823 00:41:45,410 --> 00:41:47,380 And I'll come back to you. 824 00:41:47,380 --> 00:41:49,613 Does that help answer your question? 825 00:41:49,613 --> 00:41:53,064 AUDIENCE: Yes, because we were just talking about just having 826 00:41:53,064 --> 00:41:55,529 these discussion with our students. 827 00:41:55,529 --> 00:41:58,980 And I feel like perhaps there would be somebody who would 828 00:41:58,980 --> 00:42:00,952 point out a different way of doing something. 829 00:42:00,952 --> 00:42:04,156 And then you aren't really prepared to talk 830 00:42:04,156 --> 00:42:07,854 about that with them. 831 00:42:07,854 --> 00:42:08,850 [INAUDIBLE]. 832 00:42:08,850 --> 00:42:09,100 PROFESSOR: Right. 833 00:42:09,100 --> 00:42:12,290 So if you're going to do interactive teaching, you're 834 00:42:12,290 --> 00:42:13,370 going to have lots of discussion. 835 00:42:13,370 --> 00:42:15,850 So people think, oh, interactive teaching means you 836 00:42:15,850 --> 00:42:17,930 just let the students do everything, you kick back. 837 00:42:17,930 --> 00:42:19,960 No, it's actually much harder. 838 00:42:19,960 --> 00:42:25,320 Because you've changed it back from basically playing a 839 00:42:25,320 --> 00:42:28,570 prerecorded tape, which is what a lot of lecturing is-- 840 00:42:28,570 --> 00:42:30,440 you just get out and read the book, that's what a lot of my 841 00:42:30,440 --> 00:42:32,380 lecturers did-- 842 00:42:32,380 --> 00:42:35,690 to now it's a stage performance-- 843 00:42:35,690 --> 00:42:38,720 a stage performance in the old days of Elizabethan theater 844 00:42:38,720 --> 00:42:41,680 where the audience interacted with the stage. 845 00:42:41,680 --> 00:42:44,970 So that's much harder. 846 00:42:44,970 --> 00:42:47,330 You have to, quote, "Know your lines." Not that you're going 847 00:42:47,330 --> 00:42:49,020 to say the same lines no matter what-- you have to 848 00:42:49,020 --> 00:42:50,200 really feel the lines. 849 00:42:50,200 --> 00:42:51,300 You have to really understand the feel. 850 00:42:51,300 --> 00:42:51,950 So it is harder. 851 00:42:51,950 --> 00:42:54,070 And you're going to be producing lots of discussions. 852 00:42:54,070 --> 00:42:57,790 And at a place like MIT, the students are very curious. 853 00:42:57,790 --> 00:42:59,950 And they're going to think, oh, well, what about this? 854 00:42:59,950 --> 00:43:01,670 Well, that's fine. 855 00:43:01,670 --> 00:43:05,060 So you want to use Aikido. 856 00:43:05,060 --> 00:43:06,610 So if someone suggests something you haven't thought 857 00:43:06,610 --> 00:43:08,660 of, don't dismiss it. 858 00:43:08,660 --> 00:43:10,900 You say, oh, I hadn't thought of that, that's a really good 859 00:43:10,900 --> 00:43:13,350 suggestion, which then, usually, maybe, I'll use that 860 00:43:13,350 --> 00:43:16,340 next year when I teach the course, thank you. 861 00:43:16,340 --> 00:43:20,460 So if you just think about the students as your allies, then 862 00:43:20,460 --> 00:43:24,010 your reaction that you'll intrinsically produce will be 863 00:43:24,010 --> 00:43:26,377 much less confrontational and much less worried. 864 00:43:29,890 --> 00:43:33,430 So I'll give you one example of where I was very, very 865 00:43:33,430 --> 00:43:34,780 nervous and what I did. 866 00:43:34,780 --> 00:43:38,700 So I was lecturing thermodynamics, and there was 867 00:43:38,700 --> 00:43:40,310 200 students. 868 00:43:40,310 --> 00:43:41,970 And I was doing the Carnot cycle, so this 869 00:43:41,970 --> 00:43:43,010 was the last lecture. 870 00:43:43,010 --> 00:43:47,080 So we were doing the Carnot cycle, and I drew 871 00:43:47,080 --> 00:43:48,230 it up on the board. 872 00:43:48,230 --> 00:43:50,590 And I'd encouraged questions throughout the whole lecture, 873 00:43:50,590 --> 00:43:52,100 throughout the whole lecture course. 874 00:43:52,100 --> 00:43:54,140 So, of course, someone raised their hand and said, oh, 875 00:43:54,140 --> 00:43:59,220 excuse me, I think that this box is not right. 876 00:43:59,220 --> 00:44:00,980 They didn't know what was wrong, but they said, oh, that 877 00:44:00,980 --> 00:44:02,060 box isn't right. 878 00:44:02,060 --> 00:44:03,940 So I looked at it, and I thought, oh my 879 00:44:03,940 --> 00:44:05,200 God, they're right. 880 00:44:05,200 --> 00:44:08,410 So I'd now just drawn rubbish on the board for 200 people, 881 00:44:08,410 --> 00:44:10,490 and I had a bunch of my colleagues that day who 882 00:44:10,490 --> 00:44:11,760 happened to decide that was the day to 883 00:44:11,760 --> 00:44:13,063 come visit my lecture. 884 00:44:13,063 --> 00:44:13,770 [LAUGHTER] 885 00:44:13,770 --> 00:44:16,180 PROFESSOR: So I think that was probably why I was a bit 886 00:44:16,180 --> 00:44:18,210 nervous to begin with. 887 00:44:18,210 --> 00:44:20,420 And that probably contributed to me writing 888 00:44:20,420 --> 00:44:21,740 down the wrong diagram. 889 00:44:21,740 --> 00:44:26,220 So I realized I needed some time to actually think, so I 890 00:44:26,220 --> 00:44:27,710 just said, you know, you're right. 891 00:44:27,710 --> 00:44:28,590 Let me just think. 892 00:44:28,590 --> 00:44:31,990 And I just turned my back, for a whole minute, and I sorted 893 00:44:31,990 --> 00:44:32,900 out what was wrong. 894 00:44:32,900 --> 00:44:34,950 And then everything was fine after that. 895 00:44:34,950 --> 00:44:36,300 But I still remember that. 896 00:44:36,300 --> 00:44:39,950 I still remember the feeling in my body, just that sinking 897 00:44:39,950 --> 00:44:43,440 feeling of oh my God, disaster has happened. 898 00:44:43,440 --> 00:44:44,850 I've just been exposed. 899 00:44:44,850 --> 00:44:46,680 And really, I should've been one of the 900 00:44:46,680 --> 00:44:48,590 students in the class. 901 00:44:48,590 --> 00:44:51,075 So pausing is immensely valuable. 902 00:44:53,800 --> 00:44:54,780 [? Lordis? ?] 903 00:44:54,780 --> 00:44:58,210 AUDIENCE: Follow up to the question that was said before, 904 00:44:58,210 --> 00:45:03,110 how do you effectively argue against [INAUDIBLE] 905 00:45:03,110 --> 00:45:05,880 to the top students? 906 00:45:05,880 --> 00:45:08,170 PROFESSOR: Right, so often when you want to do so 907 00:45:08,170 --> 00:45:10,990 something more interactive in your teaching, the counter 908 00:45:10,990 --> 00:45:15,730 arguments are well, you're going to harm the top 5%. 909 00:45:15,730 --> 00:45:18,230 Well, one counter argument-- 910 00:45:18,230 --> 00:45:24,170 so first of all, it doesn't often help to counter argue 911 00:45:24,170 --> 00:45:27,410 cognitive reasons if there's an emotional underpinning. 912 00:45:27,410 --> 00:45:32,390 So generally, I try to step aside from those arguments, 913 00:45:32,390 --> 00:45:35,090 unless the people have a sense of humor, I find. 914 00:45:35,090 --> 00:45:39,530 If the people have a sense of humor, then you can present 915 00:45:39,530 --> 00:45:43,620 things in a humorous way that challenge their view, and they 916 00:45:43,620 --> 00:45:44,680 can take it on board. 917 00:45:44,680 --> 00:45:46,480 But if they don't have a sense of humor, or you don't have a 918 00:45:46,480 --> 00:45:49,390 good way of presenting it that way, I find it's just wiser to 919 00:45:49,390 --> 00:45:52,100 step aside and see if you can find some way around it. 920 00:45:52,100 --> 00:45:55,500 Maybe try half of what you wanted to do, or say, well, 921 00:45:55,500 --> 00:45:58,560 yeah, I worry about that too, a bit. 922 00:45:58,560 --> 00:46:00,350 So let's leave the main course alone that way. 923 00:46:00,350 --> 00:46:02,780 Let's try an experiment and see how it goes. 924 00:46:02,780 --> 00:46:05,000 Maybe we can agree on some questions that all the 925 00:46:05,000 --> 00:46:07,530 students should be able to do to try to make it cooperative. 926 00:46:07,530 --> 00:46:09,610 So that's one thing. 927 00:46:09,610 --> 00:46:14,110 But if you do want to go directly into cognitive 928 00:46:14,110 --> 00:46:17,910 discussions and reasons, one is, and this has scope for 929 00:46:17,910 --> 00:46:19,270 making humor out of, [? I've ?] said, 930 00:46:19,270 --> 00:46:21,520 what's a top student? 931 00:46:21,520 --> 00:46:25,170 The top students, the top, quote, "5%" are the top 5% by 932 00:46:25,170 --> 00:46:29,040 the current system of testing and homeworks. 933 00:46:29,040 --> 00:46:33,520 So they're are often the top 5% in 934 00:46:33,520 --> 00:46:35,080 regurgitating canned formulas. 935 00:46:35,080 --> 00:46:38,060 Or by the time they get higher and higher and more selections 936 00:46:38,060 --> 00:46:40,660 happened, they're good at pattern matching and solving 937 00:46:40,660 --> 00:46:42,090 problems they don't even understand. 938 00:46:42,090 --> 00:46:47,380 I mean certainly, the final exam in Cambridge that people 939 00:46:47,380 --> 00:46:49,510 took in their final year-- if I just sat down, I would not 940 00:46:49,510 --> 00:46:52,310 have passed it in the physics department. 941 00:46:52,310 --> 00:46:54,760 And so there were students who did really, really well on it. 942 00:46:54,760 --> 00:46:57,390 But I'm sure I understood more physics than them. 943 00:46:57,390 --> 00:47:00,400 And it's because if you train for those kind of questions, 944 00:47:00,400 --> 00:47:02,900 even if you don't really understand what you're doing, 945 00:47:02,900 --> 00:47:04,730 you can actually answer them. 946 00:47:04,730 --> 00:47:07,010 So now the top 5% at that, well is that 947 00:47:07,010 --> 00:47:08,160 so valuable to preserve? 948 00:47:08,160 --> 00:47:10,970 Maybe actually we should change the rules of the game. 949 00:47:10,970 --> 00:47:14,850 So now, if you just say it as directly as I've said it, then 950 00:47:14,850 --> 00:47:17,350 you'll trigger the meaning of-- well, because a lot of 951 00:47:17,350 --> 00:47:21,770 times, those 5% became the people you're talking to. 952 00:47:21,770 --> 00:47:25,650 So you have to maybe do it slightly differently, and say, 953 00:47:25,650 --> 00:47:30,250 look, what is the thing you're most concerned about, about 954 00:47:30,250 --> 00:47:32,040 the students not knowing, whether they're 955 00:47:32,040 --> 00:47:33,770 the top 5% or not? 956 00:47:33,770 --> 00:47:35,930 And a lot of times, they'll just give 957 00:47:35,930 --> 00:47:38,970 you a big, long list. 958 00:47:38,970 --> 00:47:41,440 On their own, before you even say it, they'll say, oh, they 959 00:47:41,440 --> 00:47:44,650 can never use anything outside of the class. 960 00:47:44,650 --> 00:47:47,720 So people will just outright concede that, not even concede 961 00:47:47,720 --> 00:47:48,870 it, they'll say, yeah, it's so terrible. 962 00:47:48,870 --> 00:47:50,230 And people will talk about this all the time, and say, 963 00:47:50,230 --> 00:47:51,610 look, we all agree that. 964 00:47:51,610 --> 00:47:54,290 Well, let's see, is there a way that we can make people 965 00:47:54,290 --> 00:47:55,540 really good at that? 966 00:47:55,540 --> 00:47:58,240 Because even the top 5%, I find, are not like that. 967 00:47:58,240 --> 00:47:59,290 So now you've opened a door. 968 00:47:59,290 --> 00:48:01,120 And you can have a shared discussion based on 969 00:48:01,120 --> 00:48:03,080 something like that. 970 00:48:03,080 --> 00:48:07,430 So that's how you can reach the 80% who are not sure but 971 00:48:07,430 --> 00:48:10,650 are willing to listen. 972 00:48:10,650 --> 00:48:11,874 Yeah? 973 00:48:11,874 --> 00:48:14,530 AUDIENCE: I was wondering what you think of the surveys that 974 00:48:14,530 --> 00:48:18,334 they have at MIT by which the students evaluate the 975 00:48:18,334 --> 00:48:23,016 professors and teachers, and also, how to interpret the 976 00:48:23,016 --> 00:48:23,690 results of those? 977 00:48:23,690 --> 00:48:26,810 PROFESSOR: Oh good, I'm glad you said 978 00:48:26,810 --> 00:48:28,320 that for several reasons. 979 00:48:28,320 --> 00:48:32,070 So one of the other reasons is that this course has one too. 980 00:48:32,070 --> 00:48:35,180 [LAUGHTER] 981 00:48:35,180 --> 00:48:36,920 PROFESSOR: So I'll put it on the course 982 00:48:36,920 --> 00:48:39,980 website just after class. 983 00:48:39,980 --> 00:48:43,490 So 595 is one of the course numbers. 984 00:48:43,490 --> 00:48:46,790 But it's also 6.92 or something, so all course six 985 00:48:46,790 --> 00:48:49,270 classes have an online evaluation system. 986 00:48:49,270 --> 00:48:52,030 So for everybody, we're doing it that way. 987 00:48:52,030 --> 00:48:58,410 So everybody who is registered for the class is listed as a 988 00:48:58,410 --> 00:49:01,110 possible survey filler-outer. 989 00:49:01,110 --> 00:49:02,760 So I encourage everyone-- 990 00:49:02,760 --> 00:49:03,910 I'll put the link on the website. 991 00:49:03,910 --> 00:49:06,370 Just click on the link, and if you have your MIT certificates 992 00:49:06,370 --> 00:49:10,200 installed, it'll just take you to the online survey. 993 00:49:10,200 --> 00:49:12,950 So I think the surveys are very useful. 994 00:49:12,950 --> 00:49:18,760 Now the numbers are a ballpark-- 995 00:49:18,760 --> 00:49:20,550 well, were things working or not? 996 00:49:20,550 --> 00:49:22,750 But I think the most useful part of the surveys is the 997 00:49:22,750 --> 00:49:23,750 comments people make. 998 00:49:23,750 --> 00:49:26,470 So again, I encourage you to make comments in the comment 999 00:49:26,470 --> 00:49:28,120 boxes, wherever they are. 1000 00:49:28,120 --> 00:49:30,520 For example, there's one that says, what would you suggest 1001 00:49:30,520 --> 00:49:32,450 for people next year? 1002 00:49:32,450 --> 00:49:35,540 So part of that I'm going to learn by reading these. 1003 00:49:35,540 --> 00:49:39,730 So I'll crib good ideas from how you would do this course 1004 00:49:39,730 --> 00:49:41,230 from your homeworks. 1005 00:49:41,230 --> 00:49:43,980 But the survey will actually help with that. 1006 00:49:43,980 --> 00:49:46,490 So I think the surveys are really 1007 00:49:46,490 --> 00:49:48,280 useful, if used properly. 1008 00:49:48,280 --> 00:49:51,010 I don't think they're very useful for saying, you get 1009 00:49:51,010 --> 00:49:52,890 tenure, you don't get tenure. 1010 00:49:52,890 --> 00:49:55,510 Because people just use the numbers for that. 1011 00:49:55,510 --> 00:49:58,640 I don't think the numbers are super reliable. 1012 00:49:58,640 --> 00:50:01,170 I mean seven is probably significantly better than four 1013 00:50:01,170 --> 00:50:05,140 or five, but there are a lot of ways to get six and a half, 1014 00:50:05,140 --> 00:50:07,310 and six or five. 1015 00:50:07,310 --> 00:50:08,240 How did that happen? 1016 00:50:08,240 --> 00:50:10,400 Well, you want to really look into the course and see that. 1017 00:50:10,400 --> 00:50:12,480 And the course survey doesn't really 1018 00:50:12,480 --> 00:50:14,400 address that super well. 1019 00:50:14,400 --> 00:50:17,230 But the comments give you space, if you really listen 1020 00:50:17,230 --> 00:50:19,080 closely, to understand it. 1021 00:50:19,080 --> 00:50:21,400 So I think they're quite useful. 1022 00:50:21,400 --> 00:50:23,770 But what I'd really like to see-- 1023 00:50:23,770 --> 00:50:27,060 because those are surveys right after the class, and my 1024 00:50:27,060 --> 00:50:30,500 goal, what I've been trying to stress this whole time, is how 1025 00:50:30,500 --> 00:50:33,170 can you construct teaching for a long lasting learning, 1026 00:50:33,170 --> 00:50:34,810 questioning and reflecting, ideally for a 1027 00:50:34,810 --> 00:50:35,870 long lasting learning? 1028 00:50:35,870 --> 00:50:38,390 Well, if it really lasts long, people should remember 1029 00:50:38,390 --> 00:50:40,200 something a year later. 1030 00:50:40,200 --> 00:50:45,240 So I think actually the policy should be changed to do 1031 00:50:45,240 --> 00:50:48,070 feedback sheets at the end of each lecture, so you get the 1032 00:50:48,070 --> 00:50:49,940 quick feedback you need as the lecturer. 1033 00:50:49,940 --> 00:50:51,900 And then by the end of this course, you have a lot of 1034 00:50:51,900 --> 00:50:54,910 feedback, and you can really improve things next time. 1035 00:50:54,910 --> 00:50:58,370 And then do the survey a year after the course is finished. 1036 00:50:58,370 --> 00:51:00,350 And if people don't remember anything from the course right 1037 00:51:00,350 --> 00:51:03,910 away, that's a pretty important piece of feedback. 1038 00:51:03,910 --> 00:51:07,170 So I fear though that the results from that kind of 1039 00:51:07,170 --> 00:51:10,430 survey would be quite distressing. 1040 00:51:10,430 --> 00:51:13,510 Because you'd ask things like, well, which of the ideas from 1041 00:51:13,510 --> 00:51:15,090 the course do you use? 1042 00:51:15,090 --> 00:51:19,900 And people have done surveys like that in physics majors. 1043 00:51:19,900 --> 00:51:22,960 So they're surveys of physics majors in the job, whether 1044 00:51:22,960 --> 00:51:26,460 their in research or in industry or finance-- 1045 00:51:26,460 --> 00:51:28,600 well, before that ended-- 1046 00:51:28,600 --> 00:51:31,470 what do you use from your physics degree? 1047 00:51:31,470 --> 00:51:34,770 And very rarely do you find people saying, if you just 1048 00:51:34,770 --> 00:51:37,930 average across all the jobs, Maxwell's equations. 1049 00:51:37,930 --> 00:51:40,960 It's just not on the list-- is very low on the list. 1050 00:51:40,960 --> 00:51:43,870 It's things like general problem solving, quantitative 1051 00:51:43,870 --> 00:51:46,040 skills, working in groups. 1052 00:51:46,040 --> 00:51:48,620 Now it's not necessarily true that therefore we should just 1053 00:51:48,620 --> 00:51:50,630 dump all our classes and teach people how to work in groups. 1054 00:51:50,630 --> 00:51:51,980 That's not what I'm saying. 1055 00:51:51,980 --> 00:51:54,390 But it's useful to know what people are doing with the 1056 00:51:54,390 --> 00:51:56,820 things you teach them, so that you can 1057 00:51:56,820 --> 00:51:58,590 take that into account. 1058 00:51:58,590 --> 00:52:00,270 So that would be my ideal-- 1059 00:52:00,270 --> 00:52:03,260 surveys one year, five years, 10 years, later. 1060 00:52:03,260 --> 00:52:06,680 And there are a few of those at MIT, alumni surveys. 1061 00:52:06,680 --> 00:52:07,200 [? Meki, ?] 1062 00:52:07,200 --> 00:52:10,000 I know, has done a few of them. 1063 00:52:10,000 --> 00:52:11,865 Other questions? 1064 00:52:11,865 --> 00:52:12,835 Yes? 1065 00:52:12,835 --> 00:52:15,582 AUDIENCE: So let's say you're a new teacher, and you're 1066 00:52:15,582 --> 00:52:16,715 giving a course. 1067 00:52:16,715 --> 00:52:18,048 And you design it, and you really think about how you 1068 00:52:18,048 --> 00:52:20,595 want to do it, and the labs and the homeworks, et cetera. 1069 00:52:20,595 --> 00:52:22,800 And you refine that over a number of years. 1070 00:52:22,800 --> 00:52:23,625 PROFESSOR: Yeah, two or three years. 1071 00:52:23,625 --> 00:52:25,072 AUDIENCE: So five or six years, you've got it down 1072 00:52:25,072 --> 00:52:25,910 pretty well. 1073 00:52:25,910 --> 00:52:27,950 Does it become boring? 1074 00:52:27,950 --> 00:52:30,100 PROFESSOR: Good question. 1075 00:52:30,100 --> 00:52:33,870 Yeah, so the question is you make a new course, two or 1076 00:52:33,870 --> 00:52:37,110 three years you've refined it, after five years, does it 1077 00:52:37,110 --> 00:52:37,870 become boring? 1078 00:52:37,870 --> 00:52:42,800 My guess is probably yeah, unless you keep changing it. 1079 00:52:42,800 --> 00:52:47,570 So I've taught Art of Approximation for 1080 00:52:47,570 --> 00:52:49,500 almost nine years now. 1081 00:52:49,500 --> 00:52:53,410 And every three years or four years, I completely figure out 1082 00:52:53,410 --> 00:52:55,190 a new way of doing it. 1083 00:52:55,190 --> 00:52:57,740 And now it's finally converging, I would say. 1084 00:52:57,740 --> 00:53:00,770 I've finally realized, oh the main thing-- 1085 00:53:00,770 --> 00:53:03,820 because I didn't know this when I first started, because 1086 00:53:03,820 --> 00:53:05,430 I was a new teacher-- 1087 00:53:05,430 --> 00:53:08,550 so to organize it around large ideas, main themes, 1088 00:53:08,550 --> 00:53:09,450 transferable technique. 1089 00:53:09,450 --> 00:53:11,740 So I've finally converged to that. 1090 00:53:11,740 --> 00:53:15,590 And now I'm changing the examples. 1091 00:53:15,590 --> 00:53:18,245 And so I would say the [INAUDIBLE] 1092 00:53:18,245 --> 00:53:19,820 is probably converging. 1093 00:53:19,820 --> 00:53:21,660 But I could probably keep doing that for another three 1094 00:53:21,660 --> 00:53:22,180 or four years. 1095 00:53:22,180 --> 00:53:25,630 But if you just do it, refine it for two or three years, and 1096 00:53:25,630 --> 00:53:27,310 then just keep doing it, I would say yeah, after another 1097 00:53:27,310 --> 00:53:30,040 couple years, it's not necessarily that it will get 1098 00:53:30,040 --> 00:53:33,920 boring, because when you teach this way, the teaching always 1099 00:53:33,920 --> 00:53:36,710 stays interesting, but it's that you find yourself maybe 1100 00:53:36,710 --> 00:53:39,100 just thinking about other courses. 1101 00:53:39,100 --> 00:53:41,210 And I already have a sign that that's happening, because I'm 1102 00:53:41,210 --> 00:53:44,640 now thinking, I'd like to make a Physics of Music class. 1103 00:53:44,640 --> 00:53:45,970 And they may be related to the other class. 1104 00:53:45,970 --> 00:53:48,170 Because we just did the wood blocks and the xylophone in my 1105 00:53:48,170 --> 00:53:49,080 approximation class. 1106 00:53:49,080 --> 00:53:51,950 I'm thinking, oh, a whole class of the physics of music 1107 00:53:51,950 --> 00:53:55,000 would be really a lot of fun to make-- 1108 00:53:55,000 --> 00:53:57,140 organize it around demonstrations, and then you 1109 00:53:57,140 --> 00:53:58,930 could bring in the physics, as needed, for the 1110 00:53:58,930 --> 00:54:01,750 demonstrations, and you choose all the demonstrations so that 1111 00:54:01,750 --> 00:54:04,390 all the main physical ideas in acoustics, and 1112 00:54:04,390 --> 00:54:06,990 electromagnetism, and mechanics, and 1113 00:54:06,990 --> 00:54:10,500 sound are all combined. 1114 00:54:10,500 --> 00:54:13,190 Oh that'll be a really nice design problem. 1115 00:54:13,190 --> 00:54:16,890 So maybe I'm converging with the Art of Approximation one 1116 00:54:16,890 --> 00:54:18,520 after nine years. 1117 00:54:18,520 --> 00:54:20,780 So it depends how often you keep changing things. 1118 00:54:20,780 --> 00:54:23,390 But yeah, and that's OK, because you'll find that 1119 00:54:23,390 --> 00:54:24,970 that's the natural life cycle. 1120 00:54:24,970 --> 00:54:30,170 So for example, if you're a faculty member say in almost 1121 00:54:30,170 --> 00:54:33,720 any university in the country, after six years, you get a 1122 00:54:33,720 --> 00:54:34,700 sabbatical. 1123 00:54:34,700 --> 00:54:36,970 So in the sabbatical, you'd be very well advised-- 1124 00:54:36,970 --> 00:54:38,790 I mean, you could teach if you wanted-- but you're very well 1125 00:54:38,790 --> 00:54:42,110 advised to not show up on any committees, not teach, and 1126 00:54:42,110 --> 00:54:44,390 generally, you're pretty much required not to 1127 00:54:44,390 --> 00:54:45,490 and then just leave. 1128 00:54:45,490 --> 00:54:48,060 Because otherwise, you'll be dealing with all the normal, 1129 00:54:48,060 --> 00:54:48,770 run of the mill things. 1130 00:54:48,770 --> 00:54:52,350 You wouldn't be able to have a block of time to really think. 1131 00:54:52,350 --> 00:54:55,510 So if you've developed this course, and it's your course, 1132 00:54:55,510 --> 00:54:57,620 after five or six years, it's automatically going to have to 1133 00:54:57,620 --> 00:54:59,480 be given to somebody else. 1134 00:54:59,480 --> 00:55:00,390 And that's fine. 1135 00:55:00,390 --> 00:55:02,540 Because that's around the time that you'll be thinking about 1136 00:55:02,540 --> 00:55:03,100 other stuff. 1137 00:55:03,100 --> 00:55:05,690 And the sabbatical is a time to reorient yourself towards 1138 00:55:05,690 --> 00:55:06,180 other stuff. 1139 00:55:06,180 --> 00:55:10,830 So looking ahead towards that, what you want to do is write 1140 00:55:10,830 --> 00:55:12,170 up what you do. 1141 00:55:12,170 --> 00:55:14,350 So the first year, it's pretty hard, you're just barely 1142 00:55:14,350 --> 00:55:15,760 scrambling, you're trying to breathe. 1143 00:55:15,760 --> 00:55:17,380 It's like having four children, or us having 1144 00:55:17,380 --> 00:55:19,150 quadruplets. 1145 00:55:19,150 --> 00:55:21,156 Well, maybe, I don't know, I haven't had that happen to me. 1146 00:55:21,156 --> 00:55:21,830 [LAUGHTER] 1147 00:55:21,830 --> 00:55:24,760 PROFESSOR: But the first year you do a brand new course, 1148 00:55:24,760 --> 00:55:28,480 especially a three days a week one, it's pretty hard. 1149 00:55:28,480 --> 00:55:31,710 So I can tell you, this is two hours a week, but it's the 1150 00:55:31,710 --> 00:55:33,490 first time I've taught this course. 1151 00:55:33,490 --> 00:55:36,380 So it's a lot of work. 1152 00:55:36,380 --> 00:55:37,900 And that will be true. 1153 00:55:37,900 --> 00:55:40,360 So the first year, yeah, you just want to survive. 1154 00:55:40,360 --> 00:55:43,610 The second year, you start to figure out what to do, what to 1155 00:55:43,610 --> 00:55:46,440 write, and just start writing stuff up bit by bit-- 1156 00:55:46,440 --> 00:55:51,340 lecture notes, problem sets that are type set, things that 1157 00:55:51,340 --> 00:55:53,200 other people can use pretty easily. 1158 00:55:53,200 --> 00:55:55,640 So then when the course is handed off to somebody else, 1159 00:55:55,640 --> 00:55:57,830 they can continue that and refine it, based on what 1160 00:55:57,830 --> 00:55:58,610 you've done. 1161 00:55:58,610 --> 00:56:03,130 And everything you did doesn't just vanish. 1162 00:56:03,130 --> 00:56:04,110 Yeah? 1163 00:56:04,110 --> 00:56:09,010 AUDIENCE: So you mentioned in classes you really like to 1164 00:56:09,010 --> 00:56:09,990 [? do a lot of ?] 1165 00:56:09,990 --> 00:56:12,644 teaching and [? carve ?] the main ideas and then put some 1166 00:56:12,644 --> 00:56:14,540 of the mechanistic-- 1167 00:56:14,540 --> 00:56:15,240 PROFESSOR: The grunge. 1168 00:56:15,240 --> 00:56:17,210 AUDIENCE: [INAUDIBLE]. 1169 00:56:17,210 --> 00:56:19,438 So do you have anything illuminating to say about how 1170 00:56:19,438 --> 00:56:22,402 to choose those textbook [? readings, ?] other than 1171 00:56:22,402 --> 00:56:23,540 [INAUDIBLE]? 1172 00:56:23,540 --> 00:56:25,480 PROFESSOR: Yeah, so the question is-- 1173 00:56:25,480 --> 00:56:29,880 so I like to use lecture time for the larger ideas, for the 1174 00:56:29,880 --> 00:56:33,970 concepts, for the chunks. 1175 00:56:33,970 --> 00:56:36,160 So for example, in the teaching equation one, and 1176 00:56:36,160 --> 00:56:38,900 leave the derivations and detailed manipulations, the 1177 00:56:38,900 --> 00:56:45,540 mechanics of stuff, the grunge let's say, for the textbook. 1178 00:56:45,540 --> 00:56:48,750 Do I have any suggestions for how to choose a good textbook? 1179 00:56:48,750 --> 00:56:53,720 Well, it is important to choose a good textbook. 1180 00:56:53,720 --> 00:56:57,980 But it becomes less important if the classroom is focusing 1181 00:56:57,980 --> 00:56:59,440 on concepts in chunks. 1182 00:56:59,440 --> 00:57:01,680 Because that's the differentiator, generally, 1183 00:57:01,680 --> 00:57:03,770 between the good and the bad textbooks, is that the good 1184 00:57:03,770 --> 00:57:05,500 textbooks do more of that. 1185 00:57:05,500 --> 00:57:10,520 So if you're focusing on that in the classroom, then you 1186 00:57:10,520 --> 00:57:11,480 have more freedom-- 1187 00:57:11,480 --> 00:57:13,650 not freedom to use bad textbooks, but the bad 1188 00:57:13,650 --> 00:57:15,280 textbooks don't do you as much harm. 1189 00:57:15,280 --> 00:57:16,710 Because the students don't need so 1190 00:57:16,710 --> 00:57:18,120 much out of the textbook. 1191 00:57:18,120 --> 00:57:20,790 They need to basically have a place where the derivations 1192 00:57:20,790 --> 00:57:22,530 are correct. 1193 00:57:22,530 --> 00:57:25,320 And that's an important part, and it has the derivations you 1194 00:57:25,320 --> 00:57:27,140 need, sure. 1195 00:57:27,140 --> 00:57:30,320 So right away, you can relax about 1196 00:57:30,320 --> 00:57:32,220 choosing textbooks, slightly. 1197 00:57:32,220 --> 00:57:33,430 But how do you find good ones? 1198 00:57:33,430 --> 00:57:37,300 Actually now, I look at the reviews online and see what 1199 00:57:37,300 --> 00:57:39,410 students say about them. 1200 00:57:39,410 --> 00:57:43,910 So I do a web search for books, and I see what books 1201 00:57:43,910 --> 00:57:46,830 people are using, what people are commenting on, look at the 1202 00:57:46,830 --> 00:57:49,620 online bookstores, the various reviews of the books. 1203 00:57:49,620 --> 00:57:50,700 That helps a lot. 1204 00:57:50,700 --> 00:57:55,090 And then, nowadays, often people put the first chapter 1205 00:57:55,090 --> 00:57:57,390 and the Table of Contents online-- 1206 00:57:57,390 --> 00:57:58,690 the publishers do. 1207 00:57:58,690 --> 00:58:01,030 And ideally, they would put the whole book online. 1208 00:58:01,030 --> 00:58:03,130 Some are doing that too. 1209 00:58:03,130 --> 00:58:04,960 So have a look at that. 1210 00:58:04,960 --> 00:58:06,860 From the Table of Contents, you can really tell a lot 1211 00:58:06,860 --> 00:58:08,020 about a textbook. 1212 00:58:08,020 --> 00:58:10,400 You can say, is this organized right? 1213 00:58:10,400 --> 00:58:12,090 Does this have the right philosophy 1214 00:58:12,090 --> 00:58:13,620 that I'm looking for? 1215 00:58:13,620 --> 00:58:16,360 So look, right away, at the preface, where the author 1216 00:58:16,360 --> 00:58:18,280 talks about why this book. 1217 00:58:18,280 --> 00:58:21,180 And if they have no good reason for why this book, it's 1218 00:58:21,180 --> 00:58:24,020 probably not the book for you. 1219 00:58:24,020 --> 00:58:25,810 Sometimes you don't have a choice about the book. 1220 00:58:25,810 --> 00:58:28,500 People just say, well, this is the book that we always use. 1221 00:58:28,500 --> 00:58:30,390 Or it's the first time you've taught the course. 1222 00:58:30,390 --> 00:58:35,380 For example, you're hired say in March, you start your job 1223 00:58:35,380 --> 00:58:39,360 in July, and in August, they come to you and say, oh yeah, 1224 00:58:39,360 --> 00:58:43,410 by the way, Professor Blah is on sabbatical teaching X, 1225 00:58:43,410 --> 00:58:46,990 you're up, the course book is already there. 1226 00:58:46,990 --> 00:58:48,410 So you can't do much about that. 1227 00:58:48,410 --> 00:58:50,060 So sometimes you don't have freedom, but then when you do, 1228 00:58:50,060 --> 00:58:50,660 you want to do it. 1229 00:58:50,660 --> 00:58:52,880 So look at the preface and the online reviews. 1230 00:58:52,880 --> 00:58:53,990 They're quite helpful. 1231 00:58:53,990 --> 00:58:58,540 But don't worry as much if your classroom is interactive. 1232 00:58:58,540 --> 00:59:01,954 That mitigates a lot of textbook problems. 1233 00:59:01,954 --> 00:59:02,451 Yeah? 1234 00:59:02,451 --> 00:59:06,178 AUDIENCE: So you [? focused ?] on the fact that in Europe, in 1235 00:59:06,178 --> 00:59:09,906 your undegrad, you take more specific classes towards 1236 00:59:09,906 --> 00:59:11,590 [INAUDIBLE]. 1237 00:59:11,590 --> 00:59:12,640 PROFESSOR: Mm-hmm. 1238 00:59:12,640 --> 00:59:20,135 AUDIENCE: And I wonder actually if there is some 1239 00:59:20,135 --> 00:59:24,861 [? standard ?] or analysis of what is more effective. 1240 00:59:24,861 --> 00:59:30,065 Because in general, I goes that if you have more variety, 1241 00:59:30,065 --> 00:59:34,062 than you have a higher tendency to do more 1242 00:59:34,062 --> 00:59:35,523 disciplinary work. 1243 00:59:35,523 --> 00:59:37,958 [INAUDIBLE] that would be the advantage. 1244 00:59:37,958 --> 00:59:42,230 But the advantage of having taken only chemistry, math, 1245 00:59:42,230 --> 00:59:44,617 and physics during your undergrad is that then you 1246 00:59:44,617 --> 00:59:45,480 know a lot about that. 1247 00:59:45,480 --> 00:59:46,440 PROFESSOR: Right. 1248 00:59:46,440 --> 00:59:50,274 AUDIENCE: And that also goes a little bit-- 1249 00:59:50,274 --> 00:59:53,260 I don't know, I keep hearing, although I have never seen 1250 00:59:53,260 --> 00:59:59,025 proof that math skills in the US are not as good as the 1251 00:59:59,025 --> 01:00:01,500 people who come from outside. 1252 01:00:01,500 --> 01:00:05,685 And also, [? because ?] we were talking about doing a 1253 01:00:05,685 --> 01:00:07,090 class on music and-- 1254 01:00:07,090 --> 01:00:08,854 PROFESSOR: Physics and music, yeah. 1255 01:00:08,854 --> 01:00:12,590 AUDIENCE: And then I wonder if I'll ever get an undergrad 1256 01:00:12,590 --> 01:00:16,980 that took that class instead of taking a physics hardcore 1257 01:00:16,980 --> 01:00:18,530 math class. 1258 01:00:18,530 --> 01:00:22,117 And I'd be like, oh, I wish you had taken this class that 1259 01:00:22,117 --> 01:00:25,750 would give you the tools to work, rather than some class 1260 01:00:25,750 --> 01:00:31,430 that you would enjoy, but that I'd rather have you taking, 1261 01:00:31,430 --> 01:00:34,380 later on, at the end of your grad school. 1262 01:00:34,380 --> 01:00:35,970 PROFESSOR: OK, so let me unpack those. 1263 01:00:35,970 --> 01:00:37,230 So there were several questions in there. 1264 01:00:37,230 --> 01:00:43,080 So first, are there any studies on the difference 1265 01:00:43,080 --> 01:00:46,510 between the results produced by the European's, say, 1266 01:00:46,510 --> 01:00:48,850 educational system versus the American, or the European 1267 01:00:48,850 --> 01:00:52,990 where people just do their one subject to first order, where 1268 01:00:52,990 --> 01:00:55,070 the American one where you take courses across many 1269 01:00:55,070 --> 01:00:57,770 different subjects? 1270 01:00:57,770 --> 01:00:59,480 I'm not sure about that. 1271 01:00:59,480 --> 01:01:05,910 But also, the notion of effectiveness is not clear, so 1272 01:01:05,910 --> 01:01:07,070 what's the goal? 1273 01:01:07,070 --> 01:01:10,530 So that the American one, I think the historical reasons 1274 01:01:10,530 --> 01:01:14,910 why it's different is that education in America, early 1275 01:01:14,910 --> 01:01:19,850 on, back in colonial times, and just post-colonial or the 1276 01:01:19,850 --> 01:01:24,170 early 1800s, was seen as a democratic thing. 1277 01:01:24,170 --> 01:01:28,150 The idea was that this is a democracy, and all the 1278 01:01:28,150 --> 01:01:30,620 citizens are expected to participate in that. 1279 01:01:30,620 --> 01:01:32,960 And so they had a narrow definition of citizens-- 1280 01:01:32,960 --> 01:01:33,970 just white males-- 1281 01:01:33,970 --> 01:01:37,710 but within that definition, the idea was that everybody 1282 01:01:37,710 --> 01:01:40,020 had to participate or was going to participate. 1283 01:01:40,020 --> 01:01:43,740 So to that end, they needed a broad education. 1284 01:01:43,740 --> 01:01:45,670 They couldn't just specialize in one thing. 1285 01:01:45,670 --> 01:01:46,970 Because they would be too narrow to 1286 01:01:46,970 --> 01:01:48,920 actually help govern society. 1287 01:01:48,920 --> 01:01:51,170 Because society is multi-farious and 1288 01:01:51,170 --> 01:01:53,270 multi-disciplinary, intrinsically. 1289 01:01:53,270 --> 01:01:57,660 Whereas in Europe, that idea of democracy came hundreds of 1290 01:01:57,660 --> 01:02:02,575 years later, if at all, maybe at the end of World War I. So 1291 01:02:02,575 --> 01:02:08,660 the European educational system was much more oriented 1292 01:02:08,660 --> 01:02:10,720 towards producing people who would fit into a particular 1293 01:02:10,720 --> 01:02:12,680 slot in society. 1294 01:02:12,680 --> 01:02:16,220 So now if you want to measure how effective each was at its 1295 01:02:16,220 --> 01:02:19,390 historical goals, I think that's a fair question. 1296 01:02:19,390 --> 01:02:23,010 To measure how effective each is at producing people who are 1297 01:02:23,010 --> 01:02:26,300 trained for a particular slot in society-- 1298 01:02:26,300 --> 01:02:28,060 I don't think that's a very useful analysis. 1299 01:02:28,060 --> 01:02:30,620 Because the historical origins of the 1300 01:02:30,620 --> 01:02:32,260 two systems are different. 1301 01:02:32,260 --> 01:02:34,620 It's much more fruitful, I would say, to 1302 01:02:34,620 --> 01:02:35,650 think about the goals. 1303 01:02:35,650 --> 01:02:38,440 Which goals do we agree with? 1304 01:02:38,440 --> 01:02:41,400 Can we get the benefits of the American goal with some of the 1305 01:02:41,400 --> 01:02:43,670 benefits of the specialization in Europe? 1306 01:02:43,670 --> 01:02:46,500 And I think at places like MIT, you do do that. 1307 01:02:46,500 --> 01:02:48,410 The students who come out of MIT-- 1308 01:02:48,410 --> 01:02:51,040 they have a broader education than the students who come out 1309 01:02:51,040 --> 01:02:55,330 of European universities, and they actually know a lot. 1310 01:02:55,330 --> 01:02:56,600 Now I would like it to be much more 1311 01:02:56,600 --> 01:02:58,010 conceptual and long lasting. 1312 01:02:58,010 --> 01:03:00,430 But that's true of the European ones too. 1313 01:03:00,430 --> 01:03:04,140 So I would take the question back from just studying the 1314 01:03:04,140 --> 01:03:07,120 end result to think carefully, as a 1315 01:03:07,120 --> 01:03:10,100 society, about their purposes. 1316 01:03:10,100 --> 01:03:13,870 Now about the Physics of Music, I would say, actually, 1317 01:03:13,870 --> 01:03:16,960 I could imagine teaching an intro physics course that's 1318 01:03:16,960 --> 01:03:19,560 Physics of Music, where students would learn all the 1319 01:03:19,560 --> 01:03:23,150 fundamental ideas of say first semester physics, but through 1320 01:03:23,150 --> 01:03:24,060 the physics of music. 1321 01:03:24,060 --> 01:03:27,200 And so they wouldn't be deprived of the essential 1322 01:03:27,200 --> 01:03:27,880 knowledge of physics. 1323 01:03:27,880 --> 01:03:30,000 They would actually be contextualized. 1324 01:03:30,000 --> 01:03:33,930 So it might have longer lasting value. 1325 01:03:33,930 --> 01:03:36,420 AUDIENCE: [INAUDIBLE]. 1326 01:03:36,420 --> 01:03:39,482 PROFESSOR: OK, other-- yes? 1327 01:03:39,482 --> 01:03:41,520 AUDIENCE: So you talk about emotional barriers, and I 1328 01:03:41,520 --> 01:03:44,668 think one of the big ones that I've seen, especially in 1329 01:03:44,668 --> 01:03:48,364 students at MIT, through TA'ing or just through hearing 1330 01:03:48,364 --> 01:03:49,682 people talk is I don't belong here. 1331 01:03:49,682 --> 01:03:52,152 I must have gotten here by accident. 1332 01:03:52,152 --> 01:03:52,650 PROFESSOR: Yeah. 1333 01:03:52,650 --> 01:03:54,914 AUDIENCE: And I think so many people say that to themselves, 1334 01:03:54,914 --> 01:03:57,427 at one time or another, or multiple times while they're 1335 01:03:57,427 --> 01:04:00,283 here, that it can't possibly be true, because 1336 01:04:00,283 --> 01:04:00,892 everybody is saying it. 1337 01:04:00,892 --> 01:04:03,730 PROFESSOR: Right. 1338 01:04:03,730 --> 01:04:09,140 AUDIENCE: Because if they have that barrier up, I don't think 1339 01:04:09,140 --> 01:04:12,580 there's much to do to combat that. 1340 01:04:12,580 --> 01:04:14,880 So how do you get through that kind of barrier? 1341 01:04:14,880 --> 01:04:17,920 Because no matter how clear your teaching is, if they're 1342 01:04:17,920 --> 01:04:19,495 worried that they're not going to get it, 1343 01:04:19,495 --> 01:04:20,710 because they don't belong-- 1344 01:04:20,710 --> 01:04:22,200 PROFESSOR: Yeah, if they're in the math phobic 1345 01:04:22,200 --> 01:04:23,230 mode or phobic mode. 1346 01:04:23,230 --> 01:04:23,950 AUDIENCE: Yeah. 1347 01:04:23,950 --> 01:04:25,710 PROFESSOR: So this is a really interesting question. 1348 01:04:25,710 --> 01:04:29,470 So the comment was that a lot of people at MIT, a lot of 1349 01:04:29,470 --> 01:04:30,940 students, one of the emotional barriers they 1350 01:04:30,940 --> 01:04:33,340 have is they feel-- 1351 01:04:33,340 --> 01:04:36,080 I would call that a meaning barrier. 1352 01:04:36,080 --> 01:04:39,150 Let me rephrase it in the three levels of conversation. 1353 01:04:39,150 --> 01:04:41,540 So their emotion is that they're 1354 01:04:41,540 --> 01:04:43,490 very tense and anxious. 1355 01:04:43,490 --> 01:04:47,950 And the meaning is that when something doesn't go right for 1356 01:04:47,950 --> 01:04:51,020 them, they get something wrong on a problem set or in class, 1357 01:04:51,020 --> 01:04:53,660 they think that that's exposing how they really don't 1358 01:04:53,660 --> 01:04:55,370 belong here. 1359 01:04:55,370 --> 01:04:57,180 And that creates a lot of anxiety 1360 01:04:57,180 --> 01:04:58,570 and tension and misery. 1361 01:04:58,570 --> 01:05:02,250 So at Caltech, there was a saying that, oh yeah, Caltech 1362 01:05:02,250 --> 01:05:04,830 is a terrible place for the bottom half of the 99th 1363 01:05:04,830 --> 01:05:08,550 percentile, which captures that pretty well. 1364 01:05:08,550 --> 01:05:10,000 All these people, all the 1365 01:05:10,000 --> 01:05:11,150 undergrads who went to Caltech-- 1366 01:05:11,150 --> 01:05:12,570 they were probably valedictorians in their high 1367 01:05:12,570 --> 01:05:16,570 school and two sigmas above in doing science fair projects 1368 01:05:16,570 --> 01:05:18,030 than everybody else around them. 1369 01:05:18,030 --> 01:05:20,500 And now they come to Caltech, and they feel terrible. 1370 01:05:20,500 --> 01:05:23,170 What are we doing that produces that? 1371 01:05:23,170 --> 01:05:24,820 It's crazy. 1372 01:05:24,820 --> 01:05:28,120 So how can your teaching-- can you take account of that? 1373 01:05:28,120 --> 01:05:30,370 So that, I would say, also relates partly to the 1374 01:05:30,370 --> 01:05:31,450 misconceptions. 1375 01:05:31,450 --> 01:05:34,260 They have this misconception or this conception about 1376 01:05:34,260 --> 01:05:34,740 themselves. 1377 01:05:34,740 --> 01:05:35,340 So what can you do? 1378 01:05:35,340 --> 01:05:39,530 Well phobias are very difficult. 1379 01:05:39,530 --> 01:05:40,870 You have to work around them. 1380 01:05:40,870 --> 01:05:44,780 So one thing is, you don't want to trigger them. 1381 01:05:44,780 --> 01:05:49,600 So every time you trigger them, you reinforce them. 1382 01:05:49,600 --> 01:05:52,280 So any neurobiology people in here? 1383 01:05:52,280 --> 01:05:53,080 I forget. 1384 01:05:53,080 --> 01:05:53,760 [? PCS? ?] 1385 01:05:53,760 --> 01:05:57,650 Well the fundamental rule of neurobiology of brain 1386 01:05:57,650 --> 01:05:59,390 neurons-- so this is-- of course, I teach Art of 1387 01:05:59,390 --> 01:06:02,190 Approximation, so forgive me for approximating the whole 1388 01:06:02,190 --> 01:06:04,030 brain with one sentence-- 1389 01:06:04,030 --> 01:06:06,660 is neurons that fire together wire together. 1390 01:06:09,490 --> 01:06:14,360 So wiring together, that means they activate, they increase 1391 01:06:14,360 --> 01:06:16,050 their coupling. 1392 01:06:16,050 --> 01:06:22,330 And so for example, you create a classroom environment or 1393 01:06:22,330 --> 01:06:24,260 something happened in the classroom that they get 1394 01:06:24,260 --> 01:06:25,150 something wrong. 1395 01:06:25,150 --> 01:06:30,960 And now that is still wired, somewhat, to the bad feeling 1396 01:06:30,960 --> 01:06:34,480 and their thoughts of oh my God, I don't belong here. 1397 01:06:34,480 --> 01:06:35,880 So now you've reinforced that, they're going to 1398 01:06:35,880 --> 01:06:36,800 wire together more. 1399 01:06:36,800 --> 01:06:38,460 It reinforces that pathway. 1400 01:06:38,460 --> 01:06:40,980 So what you have to do is find a way to actually prevent 1401 01:06:40,980 --> 01:06:42,980 those guys from wiring together. 1402 01:06:42,980 --> 01:06:45,420 One thing is create an environment where whenever 1403 01:06:45,420 --> 01:06:48,360 people get things wrong, it's actually great. 1404 01:06:48,360 --> 01:06:51,620 So oh, that wasn't right, great, now think how much 1405 01:06:51,620 --> 01:06:52,710 you're going to learn. 1406 01:06:52,710 --> 01:06:56,110 Or when you get things wrong, you want to model that too. 1407 01:06:56,110 --> 01:06:58,160 You say, oh you're right, oh thanks, I've learned 1408 01:06:58,160 --> 01:07:01,230 something from that. 1409 01:07:01,230 --> 01:07:04,290 So try not to be defensive. 1410 01:07:04,290 --> 01:07:07,410 Because if you're defensive, then that triggers 1411 01:07:07,410 --> 01:07:08,740 that wiring in them. 1412 01:07:08,740 --> 01:07:12,120 And that firing together builds up the wiring together. 1413 01:07:12,120 --> 01:07:15,510 So creating a classroom environment where feeling bad 1414 01:07:15,510 --> 01:07:19,670 and competing against other people isn't the goal is one 1415 01:07:19,670 --> 01:07:20,460 way to minimize it. 1416 01:07:20,460 --> 01:07:24,750 So minimizing the importance of defined distinctions on 1417 01:07:24,750 --> 01:07:26,270 homework-- did I get a 95? 1418 01:07:26,270 --> 01:07:30,140 Or oh, that person's getting a 95, I only got a 90. 1419 01:07:30,140 --> 01:07:33,070 So that's one reason MIT was pass/fail. 1420 01:07:33,070 --> 01:07:36,540 For a whole year, originally, was pass/fail. 1421 01:07:36,540 --> 01:07:39,160 And that was to mitigate the pressure that students were 1422 01:07:39,160 --> 01:07:41,690 coming in, feeling like, oh my God, now I don't belong here. 1423 01:07:41,690 --> 01:07:41,930 [? It was ?] 1424 01:07:41,930 --> 01:07:44,670 look, we don't care about your grades in the first year. 1425 01:07:44,670 --> 01:07:47,400 You're really here to adjust to university, to a different 1426 01:07:47,400 --> 01:07:51,630 way of learning, and now, it was actually done in a way 1427 01:07:51,630 --> 01:07:55,810 that somehow the competition was partly the students 1428 01:07:55,810 --> 01:07:58,300 reinforcing the culture, the upperclassmen, as well. 1429 01:07:58,300 --> 01:08:01,170 If you could actually try to mitigate that, you'd go a long 1430 01:08:01,170 --> 01:08:04,200 way towards mitigating the wiring together. 1431 01:08:04,200 --> 01:08:07,280 But you can do it in your classroom too by deemphasizing 1432 01:08:07,280 --> 01:08:09,140 the things that trigger that. 1433 01:08:09,140 --> 01:08:11,720 And so when you call on people-- 1434 01:08:11,720 --> 01:08:15,220 so for example, for that reason at MIT, I almost never 1435 01:08:15,220 --> 01:08:16,899 what's called cold calling. 1436 01:08:16,899 --> 01:08:20,229 If you've ever seen that old movie The Paper Chase-- 1437 01:08:20,229 --> 01:08:24,370 so The Paper Chase is about the what we could call today 1438 01:08:24,370 --> 01:08:27,000 the terroristic Socratic method. 1439 01:08:27,000 --> 01:08:30,130 So the law schools all use the Socratic method, where they 1440 01:08:30,130 --> 01:08:32,370 read a case, and you ask them about things-- 1441 01:08:32,370 --> 01:08:33,680 things about it. 1442 01:08:33,680 --> 01:08:38,270 Mr. Jones, what do you think, what were the findings of law? 1443 01:08:38,270 --> 01:08:43,170 Mr. Smith or Mrs. d'Arbeloff, what do you think about that, 1444 01:08:43,170 --> 01:08:46,710 do you agree with that, or is that pure rubbish? 1445 01:08:46,710 --> 01:08:49,200 So people were just put on the spot repeatedly, and they just 1446 01:08:49,200 --> 01:08:51,430 produced terror in the students, and that was 1447 01:08:51,430 --> 01:08:53,500 considered part of the hazing ritual, basically. 1448 01:08:53,500 --> 01:08:56,609 So at MIT, I just don't do that at all. 1449 01:08:56,609 --> 01:08:58,220 Because I think it just triggers that. 1450 01:08:58,220 --> 01:09:01,290 And I'd rather just create a structure whereby students 1451 01:09:01,290 --> 01:09:04,430 feel ready to participate, by, for example, in the 1452 01:09:04,430 --> 01:09:06,569 interactive teaching, giving them time to think to each 1453 01:09:06,569 --> 01:09:08,729 other and then say something. 1454 01:09:08,729 --> 01:09:10,280 So you can do stuff, and it's hard, and it's 1455 01:09:10,280 --> 01:09:13,090 an important problem. 1456 01:09:13,090 --> 01:09:14,000 Yeah? 1457 01:09:14,000 --> 01:09:14,319 Sure. 1458 01:09:14,319 --> 01:09:17,630 AUDIENCE: It's worthwile to actually confront it head on, 1459 01:09:17,630 --> 01:09:20,450 is just say, a lot of you may be feeling this way, and 1460 01:09:20,450 --> 01:09:22,782 please know that it's normal, and in fact, I felt this way 1461 01:09:22,782 --> 01:09:23,852 most of my life. 1462 01:09:23,852 --> 01:09:26,029 Because I had a professor in my undergrad who actually came 1463 01:09:26,029 --> 01:09:28,525 in and said to a group of us-- like, it was in a meeting. 1464 01:09:28,525 --> 01:09:30,380 And she said, how many of you have felt like, basically, 1465 01:09:30,380 --> 01:09:32,689 you're an imposter and it's just a matter of time 1466 01:09:32,689 --> 01:09:34,510 [INAUDIBLE] discovers you? 1467 01:09:34,510 --> 01:09:35,155 [INAUDIBLE] 1468 01:09:35,155 --> 01:09:36,009 all of us raised our hands. 1469 01:09:36,009 --> 01:09:38,072 And she said, I wanted you to know that it wasn't until I 1470 01:09:38,072 --> 01:09:41,016 won my fourth major award in the field that I stopped 1471 01:09:41,016 --> 01:09:42,160 feeling that way. 1472 01:09:42,160 --> 01:09:43,490 So It's normal. 1473 01:09:43,490 --> 01:09:46,310 And that's run in my head for years. 1474 01:09:46,310 --> 01:09:49,489 So even someone who was amazing as she was, and she 1475 01:09:49,489 --> 01:09:53,164 was an amazing individual, has felt that way, and to know 1476 01:09:53,164 --> 01:09:55,442 that you're not the only one [INAUDIBLE]. 1477 01:09:55,442 --> 01:09:56,415 So do you think it's actually worth saying? 1478 01:09:56,415 --> 01:09:57,560 PROFESSOR: Yes, that's a really good point. 1479 01:09:57,560 --> 01:10:00,390 So the point was that it's worthwhile making it explicit 1480 01:10:00,390 --> 01:10:03,160 for the students and really naming the feeling that 1481 01:10:03,160 --> 01:10:03,740 they're going through. 1482 01:10:03,740 --> 01:10:06,470 Like look, you may be feeling really terrible and feeling 1483 01:10:06,470 --> 01:10:08,275 like you're an imposter. 1484 01:10:08,275 --> 01:10:10,830 Well, let it be known that I felt the same way too for a 1485 01:10:10,830 --> 01:10:13,630 long time, and describe it to them, and talk to them about 1486 01:10:13,630 --> 01:10:14,720 why they may be feeling that. 1487 01:10:14,720 --> 01:10:20,150 Say look, there's a culture of competition in the society and 1488 01:10:20,150 --> 01:10:21,720 the university, and it's actually 1489 01:10:21,720 --> 01:10:23,820 harmful for your learning. 1490 01:10:23,820 --> 01:10:26,960 And share with them some readings about that. 1491 01:10:26,960 --> 01:10:29,010 Help them see that yeah, this is something they're going to 1492 01:10:29,010 --> 01:10:29,830 have to struggle with. 1493 01:10:29,830 --> 01:10:32,760 But there's help to do that, and they're not alone in that. 1494 01:10:32,760 --> 01:10:34,300 So yeah, definitely be explicit 1495 01:10:34,300 --> 01:10:37,350 about things like that. 1496 01:10:37,350 --> 01:10:39,705 I think more question, yeah? 1497 01:10:39,705 --> 01:10:42,555 AUDIENCE: Just in a follow-up, do you think that 1498 01:10:42,555 --> 01:10:45,880 contextualizing the course is a way to fight that? 1499 01:10:45,880 --> 01:10:46,570 PROFESSOR: Good question. 1500 01:10:46,570 --> 01:10:49,450 Do I think conceptualizing the course is a way to fight that? 1501 01:10:49,450 --> 01:10:50,530 I think it is. 1502 01:10:50,530 --> 01:10:54,530 Because when the course is not contextualized, it generally 1503 01:10:54,530 --> 01:10:57,190 tends to be really abstractly focused. 1504 01:10:57,190 --> 01:11:01,100 And the interest and the orientation towards doing 1505 01:11:01,100 --> 01:11:04,600 things first abstractly is very rare. 1506 01:11:04,600 --> 01:11:06,420 I don't have it, and I've gone really 1507 01:11:06,420 --> 01:11:08,590 far in math and physics. 1508 01:11:08,590 --> 01:11:11,270 My office mate had it in graduate school. 1509 01:11:11,270 --> 01:11:13,790 He was the only person I've ever met who would rather have 1510 01:11:13,790 --> 01:11:17,390 a proof than a picture. 1511 01:11:17,390 --> 01:11:19,250 And now he's a professor at Caltech, and 1512 01:11:19,250 --> 01:11:20,790 he's also doing well. 1513 01:11:20,790 --> 01:11:23,090 But it's pretty rare. 1514 01:11:23,090 --> 01:11:27,240 So by contextualizing the course, for almost everybody, 1515 01:11:27,240 --> 01:11:30,760 actually I would say even for my friend and office mate, 1516 01:11:30,760 --> 01:11:33,080 you're actually connecting to a much larger part of their 1517 01:11:33,080 --> 01:11:34,390 mind and their experience. 1518 01:11:34,390 --> 01:11:37,550 So you're actually making people much more intelligent 1519 01:11:37,550 --> 01:11:39,470 and much more equal in that way. 1520 01:11:39,470 --> 01:11:42,070 So that's one reason I would actually like to teach the 1521 01:11:42,070 --> 01:11:43,250 Physics in Music class. 1522 01:11:43,250 --> 01:11:45,670 AUDIENCE: It made me think [INAUDIBLE] they teach drugs 1523 01:11:45,670 --> 01:11:47,606 in the brain [INAUDIBLE] 1524 01:11:47,606 --> 01:11:48,574 biology. 1525 01:11:48,574 --> 01:11:52,930 So if you're a physicist and you're like, I can't do 1526 01:11:52,930 --> 01:11:55,834 biology, you can take drugs in the brain [INAUDIBLE]. 1527 01:11:55,834 --> 01:11:57,575 And they teach you biology by teaching [INAUDIBLE]. 1528 01:11:57,575 --> 01:11:57,870 PROFESSOR: Interesting. 1529 01:11:57,870 --> 01:12:00,330 Yeah, so it somehow gets around the 1530 01:12:00,330 --> 01:12:01,790 phobia you might have. 1531 01:12:01,790 --> 01:12:03,335 AUDIENCE: [INAUDIBLE]. 1532 01:12:03,335 --> 01:12:03,965 PROFESSOR: Pardon? 1533 01:12:03,965 --> 01:12:04,540 AUDIENCE: They do that at [INAUDIBLE]. 1534 01:12:04,540 --> 01:12:05,540 PROFESSOR: Interesting. 1535 01:12:05,540 --> 01:12:09,640 So I was there 10 years ago, and that wasn't true then. 1536 01:12:09,640 --> 01:12:12,550 So the comment was that at Caltech now the required 1537 01:12:12,550 --> 01:12:16,570 classes all have a contextual version, as well. 1538 01:12:16,570 --> 01:12:18,750 And I think that's a great idea. 1539 01:12:18,750 --> 01:12:21,890 It's also, from your point of view, it's really fun as a 1540 01:12:21,890 --> 01:12:24,930 future teacher, because you get to think of all the 1541 01:12:24,930 --> 01:12:27,780 interesting contexts in which your field is useful. 1542 01:12:27,780 --> 01:12:30,500 It connects you back to the reason you did the field, 1543 01:12:30,500 --> 01:12:30,980 originally. 1544 01:12:30,980 --> 01:12:32,600 And that's good to remember. 1545 01:12:32,600 --> 01:12:36,320 Because you'll be going along, and you'll be absorbed in your 1546 01:12:36,320 --> 01:12:38,670 research, trying to get tenure, whatever it may be, 1547 01:12:38,670 --> 01:12:40,840 and there will be all these layers that are created on 1548 01:12:40,840 --> 01:12:43,210 top, and you'll forget why you came into the 1549 01:12:43,210 --> 01:12:44,170 field to begin with. 1550 01:12:44,170 --> 01:12:48,760 And if you can capture that feeling, actually if you can 1551 01:12:48,760 --> 01:12:51,770 connect to that feeling in you, then you'll actually be 1552 01:12:51,770 --> 01:12:54,360 able to transmit that feeling to your students. 1553 01:12:54,360 --> 01:12:57,010 And they'll have it, as well, and you'll actually be doing 1554 01:12:57,010 --> 01:12:59,760 good for the field, good for you, and 1555 01:12:59,760 --> 01:13:00,970 good for your students. 1556 01:13:00,970 --> 01:13:04,860 So with that, I'll wish you lots of 1557 01:13:04,860 --> 01:13:06,160 success in your teaching. 1558 01:13:06,160 --> 01:13:09,980 I hope that the principles and examples that we've done 1559 01:13:09,980 --> 01:13:13,150 throughout the term you find useful, at least in one way. 1560 01:13:13,150 --> 01:13:18,300 And I look forward to hearing from you later how you use or 1561 01:13:18,300 --> 01:13:21,260 not use or any suggestions that you may have. 1562 01:13:21,260 --> 01:13:23,240 So good luck. 1563 01:13:23,240 --> 01:13:28,077 [APPLAUSE]