Deliberate Practice: How Education Fails to Produce Expertise
freakonomics.com
freakonomics.com
The country that cracks this and builds this system instead of incrementally tweaking our 19th century system will own the rest of this century and most of the next.
I can't help but think that the future of education looks like the current home schooling community. The results with my own children are remarkable.
The resources available now online are vastly better than anything I had when I was in school, and far cheaper. At Khan Academy one excellent teacher can teach the world. That's a science-fiction level of awesome.
And you can tailor the education to the strengths and weaknesses of the child. I don't think a large organization could ever replicate this process or get these results. It's too difficult and expensive to do on a large scale.
Namely: recognize that, in imposing a double cost on anyone seeking private education, it is stifling entrepreneurship in education (where it is sorely needed) and step out of the game entirely.
Consider 8-hour school days: 3 hours in lunch/PE/hallways leaves 5 hours of group lectures. If the teachers spent the whole time in tutoring individual students in their 30-person classrooms, that's 10 minutes for you each day.
What happens when you get hours of individualized learning alternated with deliberate practice? Years of school compressed into months. With half of every day left over for socializing, athletics and exploration.
Its not really hard to imagine a better system - almost anything would be better.
I meant the 20-year-old more as just as an arbitrary line in the sand, not that everybody will be "in the system" all the way up to that date necessarily.
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Some citations:
Rivet, Krajcik:"Achieving Standards in Urban Systemic Reform: An Example of a Sixth Grade Project-Based Science Curriculum"
Hmelo-Silver et al. " Scaffolding and Achievement in Problem-Based and Inquiry Learning: A Response to Kirschner, Sweller, and Clark (2006)"
Citations, please? (An edit to your original post rather than a new reply would be fine.)
Science classrooms taught this way typically produce students who go on to be very successful academically and professionally in the maths and sciences.
Where are some of the schools that operate this way now?
I also know that LASA in Austin ISD has a number of classes taught this way though they do not have any sort of project-based "ideology" that they follow across the board like New Tech schools.
A catalyst speeds up a reaction, sometimes essentially so. The coming education revolution is going to be much larger than any single organization but we think we can help bring it about a little bit quicker. Sal Khan is definitely a catalyst in this respect.
We do this through two complimentary features sets:
1) Learning about learning. These are tools to track student progress, judge the effectiveness of different techniques, etc... Think an education effectiveness dashboard. By providing high-quality information we can shorten and improve the feedback loop by better understanding what works and what doesn't.
2) Online learning delivery. As a starting point, think an LMS like Instructure/Moodle/Blackboard, etc... but designed to work with the previous point - try new things and measure. The key here is enabling teacher creativity. It's all well and fine for us to implement and measure new tools in house but that's not fast enough (and gives us no particular advantage). The Instructors on our system need to be able to easily implement their own thoughts on how to improve teaching (and then see the results). They are much smarter than we will ever be about this. We need our instructors to see this 'LMS' as their playground for teaching experimentation. And, of course, when one of them makes a breakthrough they will share it and everyone will be better off.
Innovation is experimentation that results in an improvement. We help teachers experiment and judge the success of their experiments, shortening the feedback loop and increasing the rate of innovation. This is what we mean by "be a catalyst".
Have a few more questions if you don't mind:
1. What's your motivation for doing this?
2. Is there a particular level of education (or type of subject) you're targeting? Would you find the product more geared towards being effective in some subjects than others, or generic enough for any?
3. Is UBC somehow part of this project?
4. Could I play with it (I'm in no way affiliated with UBC)?
Basically everything you learn in grade school will be useless in real life. This is not because you don't learn anything: it's because you have not experienced enough by high school to have a reasonable chance of knowing what you want to specialize in, and you have to specialize for your adult life. So the fruits of that deliberate practice will be useless whether you learn stuff or not.
Instead, I found that the project-based curriculum was useful because:
1.) It shows you that there is more depth to things than simply doing what you're told and regurgitating what you've learned.
2.) It trains you to take initiative and be responsible for your own education, and later your career. There's a huge difference between learning stuff and doing stuff, and projects help bridge the gap.
Both of these skills are invaluable later on, when you do know what you want to do.
1) learning is the product of the work Just wait until you get industrial sponsorship of the project. Learning gets less focus.
2)students learn from doing Assuming the students have the initiative to DO. Young people often need leadership and direction provided by a leader type figure to drive them to make the attempt. Else, many of them will wander about aimlessly waiting for a peer leader to emerge -- which may never happen and the project stalls.
I am not disinclined to project based learning; but it is not a complete panacea for the current educational system.
I think on the basis of international comparisons that the United States school system, at least, is not serving average learners well, because they only reach the achievement levels of BELOW-average persons in several other countries, including countries that were much poorer than the United States only a generation ago.
http://timss.bc.edu/PDF/t03_download/T03_M_Chap1.pdf
(The several national comparison charts in this publication, by the way, are excellent examples of best practice in showing statistical data. The take-home point is that average students in the United States score like bottom end students in the best-performing countries, and even top-end students in the United States score only like average students in those countries.)
Those problem-set hours total almost a whole other working week laid on top of the other academic tasks of attending lectures and reading notes. In college as in grade school, where is the time for deliberate practice?
I can't help but think that this is a case of not seeing the wood for the trees. In a good university problem-sets obey most of the requirements of deliberate practice: they are designed, there is repetition, they are mentally demanding, and they gradually get harder so that you are working at the edge of your abilities.
The remaining requirements of deliberate practice are to do with meta-cognition - i.e. thinking about what you are doing - and that is down to you.
It reminds me of stories my mum (who's a teacher) tells about pupils complaining that they had no time for revision because of the practice exams she set. I mean, what do they think revision is?
[1] http://ocw.mit.edu/courses/chemistry/5-95j-teaching-college-...
This is one of the reasons perhaps for why so many people quit computer science after the first year. So many people in my family expressed their frustration at programming assignments (none of them took more than one or two courses).
Here is the FAQ (just revised for this reply) that I send to parents of children in the math classes I teach:
1) PROBLEMS VERSUS EXERCISES
I frequently encounter discussions among parents about repetitive school math lessons, so a few years ago I prepared this Frequently Asked Question (FAQ) document about the distinction between math exercises (good in sufficient but not excessive amount) and math problems (always good in any amount).
Most books about mathematics have what are called "exercises" in them, questions that prompt a learner to practice the concepts discussed in the mathematics book. By reading one mathematics book, and then several more, I learned that some mathematicians draw a distinction between "exercises" and "problems" (which is the terminology generally used by the mathematicians who draw this distinction). I think this distinction is useful for teachers and learners to consider while selecting materials for studying mathematics, so I'll share the quotations from which I learned this distinction here. I first read about the distinction between exercises and problems in a Taiwan reprint of a book by Howard Eves.
"It is perhaps pertinent to make a comment or two here about the problems of the text. There is a distinction between what may be called a PROBLEM and what may be considered an EXERCISE. The latter serves to drill a student in some technique or procedure, and requires little, if any, original thought. Thus, after a student beginning algebra has encountered the quadratic formula, he should undoubtedly be given a set of exercises in the form of specific quadratic equations to be solved by the newly acquired tool. The working of these exercises will help clinch his grasp of the formula and will assure his ability to use the formula. An exercise, then, can always be done with reasonable dispatch and with a minimum of creative thinking. In contrast to an exercise, a problem, if it is a good one for its level, should require thought on the part of the student. The student must devise strategic attacks, some of which may fail, others of which may partially or completely carry him through. He may need to look up some procedure or some associated material in texts, so that he can push his plan through. Having successfully solved a problem, the student should consider it to see if he can devise a different and perhaps better solution. He should look for further deductions, generalizations, applications, and allied results. In short, he should live with the thing for a time, and examine it carefully in all lights. To be suitable, a problem must be such that the student cannot solve it immediately. One does not complain about a problem being too difficult, but rather too easy.
"It is impossible to overstate the importance of problems in mathematics. It is by means of of problems that mathematics develops and actually lifts itself by its own bootstraps. Every research article, every doctoral thesis, every new discovery in mathematics, results from an attempt to solve some problem. The posing of appropriate problems, then, appears to be a very suitable way to introduce the student to mathematical research. And it is worth noting, the more problems one plays with, the more problems one may be able to pose on one's own. The ability to propose significant problems is one requirement to be a creative mathematician."
Eves, Howard (1963). A Survey of Geometry volume 1. Boston: Allyn and Bacon, page ix.
I have since read about this distinction in several other books.
"Before going any further, let's digress a minute to discuss different levels of problems that might appear in a book about mathematics:
Level 1. Given an explicit object x and an explicit property P(x), prove that P(x) is true. . . .
Level 2. Given an explicit set X and an explicit property P(x), prove that P(x) is true for FOR ALL x [existing in] X. . . .
Level 3. Given an explicit set X and an explicit property P(x), prove OR DISPROVE that P(x) is true for for all x [existing in] X. . . .
Level 4. Given an explicit set X and an explicit property P(x), find a NECESSARY AND SUFFICIENT CONDITION Q(x) that P(x) is true. . . .
Level 5. Given an explicit set X, find an INTERESTING PROPERTY P(x) of its elements. Now we're in the scary domain of pure research, where students might think that total chaos reigns. This is real mathematics. Authors of textbooks rarely dare to pose level 5 problems."
Graham, Ronald, Knuth, Donald, and Patashnik, Oren (1994). Concrete Mathematics Second Edition. Boston: Addison-Wesley, pages 72-73.
This digression becomes the subject of a, um, problem in Exercise 4 of Chapter 3: "The text describes problems at levels 1 through 5. What is a level 0 problem? (This, by the way, is NOT a level 0 problem.)"
"First, what is a PROBLEM? We distinguish between PROBLEMS and EXERCISES. An exercise is a question that you know how to resolve immediately. Whether you get it right or not depends on how expertly you apply specific techniques, but you don't need to puzzle out what techniques to use. In contrast, a problem demands much thought and resourcefulness before the right approach is found. . . .
"A good problem is mysterious and interesting. It is mysterious, because at first you don't know how to solve it. If it is not interesting, you won't think about it much. If it is interesting, though, you will want to put a lot of time and effort into understanding it."
Zeitz, Paul (1999). The Art and Craft of Problem Solving. New York: Wiley, pages 3 and 4.
". . . . As Paul Halmos said, 'Problems are the heart of mathematics,' so we should 'emphasize them more and more in the classroom, in seminars, and in the books and articles we write, to train our students to be better problem-posers and problem-solvers than we are.'
"The problems we have selected are definitely not exercises. Our definition of an exercise is that you look at it and know immediately how to complete it. It is just a question of doing the work, whereas by a problem, we mean a more intricate question for which at first one has probably no clue to how to approach it, but by perseverance and inspired effort one can transform it into a sequence of exercises."
Andreescu, Titu & Gelca, Razvan (2000), Mathematical Olympiad Challenges. Boston: Birkhäuser, page xiii.
"It is easier to advance in one topic by going ahead with the more elementary parts of another topic, where the first one is applied. The brain much prefers to work that way, rather than to concentrate on ugly technical formulas which are obviously unrelated to anything except artificial drilling. Of course, some rote drilling is necessary. The problem is how to strike a balance."
Lang, Serge (1988), Basic Mathematics. New York: Springer-Verlag, p. xi.
"Learn by Solving Problems
"We believe that the best way to learn mathematics is by solving problems. Lots and lots of problems. In fact, we believe the best way to learn mathematics is to try to solve problems that you don't know how to do. When you discover something on your own, you'll understand it much better than if someone just tells it to you.
. . . .
"If you find the problems are too easy, this means you should try harder problems. Nobody learns very much by solving problems that are too easy for them."
Rusczyk, Richard (2007). Introduction to Algebra. Alpine, CA: AoPS Incorporated, p. iii.