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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Tag: logarithms

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…


Lines behaving oddly: Discovering log rules

I introduced log rules in a novel way in my precalculus class today. As a bit of important background, the idea of logs was not new to these students. We’d done extensive work with logs back in the fall when we were focused on learning Read more…

puzzle

A Modern Log Table

After re-reading the first chapter of Eli Maor’s e: The Story of a Number, I ended up spending a couple of days creating a GeoGebra applet which I’ve called Napier’s Gift. Given that it’s July, I didn’t have a class to try it out on, Read more…