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What are some good references for high-school (or even middle-school) mathematics, written from an advanced point of view, especially texts written for prospective teachers?

Some references were given in a comment for an earlier question, but I cannot find that one now ...

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I sympathize with this question, because unfortunately a lot of valuable content on this site is getting hidden in the comments. –  Chris Cunningham May 5 at 15:36
    
    
Check this and this. –  metacompactness May 25 at 21:58

2 Answers 2

Right now the best-known book of this sort is "Mathematics for High School Teachers -- An Advanced Perspective" by Zalman Usiskin. (I say "right now" because I have grandiose plans of writing such a textbook myself, but not until after I get tenure, i.e. not for at least 3 years.)

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A good (arguably excellent) overview of pre-calculus mathematics can be found in Precalculus Mathematics in a Nutshell, written by George F. Simmons. It is an excellent but terse resource. More thorough accounts for each topic can be found elsewhere if desired.

For algebra and trigonometry, you may wish to consider

For geometry,

There is no Calculus in Simmon's text mentioned above. However, many excellent treatments can be found elsewhere. These include,

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