In the post Algebra vs Arithmetic, I distinguished between arithmetic and algebra by arguing that it has nothing to do with the use of letters. That algebra is about letters and arithmetic is about numbers is an oversimplified view of algebra and can create misconceptions. Here are more ways of characterizing algebra. The following excerpts…

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There are three worlds of mathematics according to David Tall: the world of conceptual embodiment, the world of symbolic calculation and manipulation, and the world of axiomatic formalism. This classification is based on how mathematical concepts/objects developed. It is important for us teachers to be at least aware of these three worlds. It tells us…

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I’ve yet to read a math educator’s blog that endorses Khan Academy materials. Well, this blog does. Yes, you read it right. This blog endorses Mr. Khan’s materials for teaching mathematics. No, not by simply viewing the video but using the Mr Khan’s lecture as the object of investigation. Let’s take the video on direct variation….

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