Mathematics for Teaching Tag: conceptual understanding

Tag: conceptual understanding

NCTM Process Standards vs CCSS Mathematical Practices

The NCTM process standards, Adding it Up mathematical proficiency strands, and Common Core State Standards for mathematical practices are all saying the same thing but why do I get the feeling that the Mathematical Practices Standards is out to get the math teachers. The NCTM’s process standards of problem solving, reasoning and proof, communication, representation, and connections describe for me…

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Why negative times a negative is positive

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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