Ask Hard Questions

Filed on Fri Oct 30, 2009 5:20 pm

Here's an article about a study that alleges to show that challenging students, and forcing them to try to answer questions before teaching them how to do them. That sounds exactly like the structure we use for our textbooks and classes.

One of my favorite excerpts from the article is this:

Quote: Students might consider taking the questions in the back of the textbook chapter and try to answer them before reading the chapter. (If there are no questions, convert the section headings to questions. If the heading is Pavlovian Conditioning, ask yourself What is Pavlovian conditioning?). Then read the chapter and answer the questions while reading it. When the chapter is finished, go back to the questions and try answering them again. For any you miss, restudy that section of the chapter. Then wait a few days and try to answer the questions again (restudying when you need to). Keep this practice up on all the chapters you read before the exam and you will be have learned the material in a durable manner and be able to retrieve it long after you have left the course.


This is very close to a comment I put on a great many of the Challenge Sets I review -- go after a problem, fail, study it and its solution (and think about how you should have gotten to the solution without looking at it), wait a week or two, and then try again.

Special thanks to AoPSer orl for pointing me at this

Tags: education

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Great article! Near the beginning of my teaching career, I had the great good fortune to team teach with a colleague who had the philosophy that the classroom should be a safe place to make mistakes, that we should offer a prize for "the most helpful wrong answer," because the class can learn so much more by examining why a plausible wrong answer is wrong than just by remaining silent and waiting for the professor to present the right answer and explain why it's right.

All true learning has to come from an openness to making mistakes and to looking at many of the wrong ways to do things. That's also the way progress in scientific research gets made as well.

That's why my philosophy has ever since been, "Celebrate your mistakes!"
  • Posted Sat Oct 31, 2009 4:53 pm, by sophia

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  • exactly when do you think the calc book will come out?

    By qwertythecucumber, on Thu Dec 03, 2009 7:33 pm

  • Yes, and some analytic geometry (complex numbers and vectors) that were originally planned to be in the next geometry book.

    By rrusczyk, on Sun Nov 29, 2009 2:58 pm

  • I see. So instead, the Precalc (and calc?) book(s) came out, which carry on the trig from Intro. to Geo.

    By PowerOfPi, on Sat Nov 28, 2009 6:41 pm

  • That's postponed indefinitely; our plans have changed a lot since we first produced the Geometry book...

    By rrusczyk, on Sat Nov 28, 2009 6:08 pm

  • I just started reading Intro to Geometry today, and it says Intermediate Geometry will come out in 2009. Can you estimate how many years it will be until it comes out? Or is there going to be another book that takes its place?

    By PowerOfPi, on Sat Nov 28, 2009 5:09 pm

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