Category Archives: Teaching

See, Accept, Affirm

The mathematical community is one, which—while not as diverse as it could/should be—counts as members individuals from all backgrounds and of all identities. These individualities are something we as a community should cherish and support. One outlet for such support … Continue reading

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Conquering Students’ Mid-Semester Complacency

About a week after their first test, during the first round of midterms of the semester for undergraduate students, mid-semester complacency came swooping into my classroom. My once invigorated students suddenly started going through the motions of class rather than … Continue reading

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Applying the Inquiry-Oriented Approach in teaching Math Courses

The Inquiry-Oriented (IO) Approach and Advanced Mathematical Thinking (AMT) processes play an important role in improving undergraduate math education. IO approach and AMT processes act as a new movement of modern math education based on the methods used in math … 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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Daily Quizzes: the Good, the Bad, and the Ugly—Part 1

This past semester, I decided to do something crazy—I gave my students a quiz (nearly) every day of class. You can imagine that my students weren’t nearly as excited as I was about this plan. In case you’re looking for … Continue reading

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