Continuous Reflection

"If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries." - Carl Friedrich Gauss

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Conveying a Main Idea About Rational Functions

I’ve been teaching for 27 years. This morning during a discussion of rational functions in precalculus, I had one of those why-didn’t-I-think-of this-years-ago moments when I found myself drawing a Venn diagram on the board in response to some student questions about holes.  I’ve found rational Read more…


Conveying a Main Idea About Rational Functions

I’ve been teaching for 27 years. This morning during a discussion of rational functions in precalculus  way of helping students to focus on a  main idea suddenly occurred to me. I’ve found A few years back a student had an insight that gave me a way Read more…


Venn


A box is to be constructed by cutting squares of equal size . . .

I’ve been revising this precalculus activity over the past couple of years, and this year’s incarnation worked particularly well. It had its genesis in my experience with that not-small subset of calculus students who would routinely give up very early in the process when confronted Read more…


Why I Teach [Math]

Inspired by Annie Perkins and her post “For Those Hesitant to Protest” and prodded by a friend to share the following more widely, I offer here the following passage which was my contribution our family’s Christmas letter to family and friends this year. While I do enjoy Read more…


Why I Teach [Math]

Inspired by Annie Perkins and her post “For Those Hesitant to Protest” and prodded by a friend to share the following more widely, I offer here the following passage which was my contribution our family’s Christmas letter to family and friends this year. While I do enjoy Read more…


Why I Teach [Math]

Inspired by Annie Perkins and her post “For Those Hesitant to Protest” and prodded by a friend to share the following more widely, I offer here the following passage that was my contribution our family’s Christmas letter to family and friends this year. While I do enjoy math Read more…


Why I teach [math]

Inspired by Annie Perkins and her post “For Those Hesitant to Protest” and prodded by a friend to share the following more widely, I offer here the following passage that was my contribution our family’s Christmas letter to family and friends this year. While I do enjoy math Read more…