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The SMSG textbook for algebra II and trig was entitled "Modern Algebra and Trigonometry, Book 2" by Dolciani, Berman, and Wooton, published by Houghton-Mifflin. We used this during my junior year in high school (1965-66). I wish I'd kept the book instead of returning it to our bookstore for credit, because I recently had to purchase a used (...


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Dan Ghica has a blog post on discovering category theory for primary school children by way of knot theory. Quite charming, I think, albeit not really an answer to your question. Still, I thought it might be worth noting here. (I came across it when reading Paweł Sobociński’s Graphical Linear Algebra blog.)


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Great question! Yes, this was Piaget's project after initially working with more classic structuralism (e.g. his text titled Structuralism). He explicitly mentions Mac Lane's work in his book on understanding functions, Epistemology and Psychology of Functions I discuss this a bit in my dissertation, but am not familiar with other work that compares ...


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Dolciani eventually went on to write an explicit 'Algebra 2' book, used in the 1970's and 1980's commonly. That Algebra 2 book has an exact replica of the material in the SMSG Intermediate Mathematics. So I think that should resolve it. 'Algebra 2' is the SMSG 'Intermediate Mathematics.'


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