Mathematics for Teaching Tag: arithmetic

Tag: arithmetic

When is it algebra and when is it arithmetic?

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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What are the Three Worlds of Mathematics?

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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