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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Making Sense of Exponential Models

Exponential growth is a topic that deserves especially thoughtful treatment as part of a high school education because a person who has thought deeply about this ubiquitous phenomenon pays attention to and conceptualizes certain critical issues in, for example, science, economics, and social science, in a fundamentally different way than one who Read more…


Our Precalculus Text

Here’s what my colleagues Travis Ortogero, Robert Machemer, and I have come up with as an alternative to expensive, heavy textbooks for our precalculus classes. Some sections are more fleshed out than others. We make incremental improvements as we have the time and energy.


Our Precalculus Text

Here’s what my colleagues Travis Ortogero, Robert Machemer, and I have come up with as an alternative to expensive, heavy textbooks for our precalculus classes. We make incremental improvements as we have the time and energy.


Precalc17KinOrtMach


Our Precalculus Text

Here’s what my colleagues Travis Ortogero, Robert Machemer, and I have come up with as an alternative to expensive, heavy textbooks for our precalculus classes. Some sections are more fleshed out than others. We make incremental improvements as we have the time and energy.


Letting the Students Come Up with the Questions: AP Calculus Day 1

The homework assignment I gave my AP Calculus class on the first day of school this year was inspired by Michael Pershan’s well-worth-a-read post I don’t focus my classroom on solving problems. (This was his contribution to Sam Shah‘s fabulous Virtual Conference on Mathematical Flavors). In developing Read more…


Letting the Students Come Up with the Questions: AP Calculus Day 1

The homework assignment I gave my AP Calculus class on the first day of school this year was inspired by Michael Pershan’s well-worth-a-read post I don’t focus my classroom on solving problems. (This was his contribution to Sam Shah‘s fabulous Virtual Conference on Mathematical Flavors). In developing Read more…


Letting the Students Come Up with the Questions: AP Calculus Day 1

The homework assignment I gave my AP Calculus class on the first day of school this year was inspired by Michael Pershan’s well-worth-a-read post I don’t focus my classroom on solving problems. (This was his contribution to Sam Shah‘s fabulous Virtual Conference on Mathematical Flavors). In developing Read more…