adamblan
  • Member for 7 years, 10 months
  • Last seen more than a week ago
How can I estimate the length of an exam?
25 votes

Here's a few useful strategies: 1) Once you've written the exam, time how long it takes you just to write down the answers. That gives you a baseline on how much time someone (you!) who already ...

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Knowing mathematics does not translate to knowing to teach mathematics. Why?
21 votes

There's two parts to this question. So, I'll give them separately: Why? There is a lot of education and psychology research on expertise that points to the idea of an "expert blind spot". An easy ...

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How can we help students who are very anxious about math?
19 votes

There are a few strategies that are supported by experimental research which I will share here, but they all have to do with stereotype threat. I am sure there are other types of anxiety related to ...

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Alternatives to University Lectures: Non-lecture Mathematics Classes
16 votes

There are a few ways to do this. I recently did it in Carnegie Mellon's introductory proofs course. I'll try to outline here a few different solutions that various places have tried. Carnegie Mellon ...

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Are the words "easy," "basic," "clearly," "obviously," etc., ever helpful?
16 votes

I can think of a few instances where it might be useful: To situate the current piece of the concept among others coming up To call-back to something earlier in the course that really should be easy ...

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Real-World Applications of Logic
Accepted answer
12 votes

There's a couple nice directions you could go here. To discuss questions that are most similar to your example but more "authentic", you could look at any variety of constraint satisfaction problems. ...

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Grading homework problems on completion vs. correctness, and overall grading
9 votes

There's a compromise between "correctness" and "completion" called "Standards-based grading". Here's a few links about it with various people who have tried using it for Calculus: http://blogs.cofc....

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Books/(auto)biographies/references on how mathematicians study/studied (as students)?
8 votes

Here are two from famous mathematicians who have tried to explain how they approach mathematics: George Pólya. This book is actually targeted at introductory students. It has great examples, and an ...

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How do online practicing websites decide how much practice / repetition is 'enough'?
8 votes

Many of these sites use a model called the Spaced Repetition Model. In particular, I'm most familiar with how Duolingo used to do it a few years ago, as I worked there. Khan Academy seems to do this ...

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Splitting the students by abilities
Accepted answer
8 votes

As per the comments above, I'm going to tackle this explicitly for discrete math and set theory being a shared course. What follows is some strategies I've tried and how well they worked (or didn't ...

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Is it good to have solutions of homework published?
5 votes

While writing and releasing solutions is in general a really good idea, because it helps the students see their errors, one major problem with doing this is that it increases cheating in the future. ...

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When is it more advantaged for students to stop attending lectures? What to do then?
2 votes

There are a variety of lecture styles that often result in students, for either valid or totally invalid reasons, stopping coming to lecture. Here's a quick outline of a few: 1) Many lectures ...

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