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1

This is much less rigorous, but I taught my students that numbers or measures can be equal, but objects--like segments, polygons, and angles--cannot be equal, they must be congruent. It was a distinction I gave particularly to help with proofs, where they often need to say two angle measures are equal (and use the equal sign) before saying the angles ...


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Personally, the perspective I recommend is kind of the reverse. Despite the linked thread, I find that most of the time, the mathematical term has some reason why it was picked for the mathematical concept in question. It wasn't picked in an arbitrary or malicious fashion. At some point when the practitioner first used it, it seemed like the best English ...


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There is a publication in the ERIC archive called Recreational Mathematics that is a bibliography of books and journal articles about recreational mathematics, organized by topic. A search in this document for "triangular numbers" yields quite a few results, for example, a page of books about "number curiosities": A specific book that ...


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