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I'm a college professor who teaches the courses in the border between math and computing. Lots of good suggestions here about subjects. I have a methodology suggestion. Try to do active learning as much as you can. (You can look at the MAA's recent book for a good state of the art summary.)


Which MAA book are you referring to?


I looked around and found this guide by MAA: https://www.maa.org/programs-and-communities/curriculum%20re... It's not specifically active learning, but has lots of good classroom tips.

I also found this blog post series: https://blogs.ams.org/matheducation/tag/active-learning-seri...


Yes, ivan_ah is right, that's the book I meant. Free and evidence-based. I'd say active learning is baked into pretty much all the chapters of the book, because the evidence is very strong that this is the best way to go.




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