Dan Meyer found an old book that is much better the standard algebra textbook foisted on us by the educational equivalent of Comcast.

Problems Without Figures is based on the idea that reasoning occurs before you grapple with the actual numbers of the problem. Students have to develop the question, and decide which operations apply.

But I teach Geometry, not Arithmetic or Algebra. So, I guess I’m going to have to write some questions like “What relationships do you see?” and let the student play around and decide for themselves if it makes sense to look for a ratio between two lengths, or an invariant sum or product.

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