The mathematicians concern themselves with doing mathematics at high level of abstraction. The mathematics educator concern themselves with what it is that one does when doing mathematics and what kind of experiences are propitious for a person’s later successes. – P. Thompson. According to Thompson, the following quote is a paraphrase of what Winston Churchill said…

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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…

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Among the ‘rules’ for working with negative numbers, the most counter intuitive is “negative times a negative is a positive”. It is easily forgotten especially if it was learned by rote. It is also not an easy ‘rule’ to make sense of so it needs to be learned with conceptual understanding. Here’s my proposed lesson for…

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