Tag Archives: Math Teaching

What to Do When a Group Gets Stuck Working on a Task

In my previous post, I discussed how to adapt a problem that you have found in order to make the problem groupworthy. One of the important things to consider when adapting real-world problems is to avoid giving step-by-step instructions and formulas … Continue reading

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SMART

As math graduate students, we often get teaching assignments from our departments, some of us tutor independently for financial reasons, and some volunteer to teach at local schools or libraries. Teaching is an inseparable part of our job/life. But that is where … Continue reading

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Adapting Problems to Improve their Groupworthiness

In my last blog post, I discussed the importance of using groupworthy tasks with your students.  For a task to be groupworthy, it should satisfy three criteria: interdependence (the task is mathematically rich enough that students have to work together), … Continue reading

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The Role of Generalization in Advanced Mathematical Thinking

Generalization and abstraction both play an important role in the minds of mathematics students as they study higher-level concepts. In the second chapter of the Springer book Advanced Mathematical Thinking, Tommy Dreyfus defines generalization as the derivation or induction from something particular to something … Continue reading

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A Fresh Slice of π

Almost anyone in the math world will know that today is π Day. Every year on March  14, the date reads 3/14, the first 3 digits of our favorite constant.  It may be an irrational holiday, but it is about … Continue reading

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