Tag Archives: reasoning

Reasoning abilities and conceptual knowledge needed for learning calculus

This post describes foundational reasoning abilities and mathematical knowledge students need to develop before beginning a course in calculus. Covariational reasoning – this involves recognition of two quantities that are changing together. A student who considers how two quantities in a dynamic situation change together is said to be engaging in covariational reasoning. This is… Read More »

Theories and ideas behind the math lessons in this blog

I have put together in this post some of the ideas behind the kind of mathematics teaching I promote. As I stated in the subheadings of this blog, the articles and lessons I write here are not about making mathematics easy because it isn’t but about making mathematics makes sense because it does. Before reading… Read More »

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