They do what they do.
Thinking about schools and peers and parent-child attachments....I came across one of my favorite posts .
I think this is an interesting book. It uses visuals to prove various things, in algebra, geometry, trig, etc. There is a nice visual proof of why the geometric mean is less than the arithmetic mean, for example.
I looked at the proofs for Pythagorean theorem. Not obvious to me how the various dissections works, and I doubt that students will figure them out either. The dissections are nice, but you do need statements and reasons to justify the various things going on.
i love this stuff.haven't seen the book butmany of 'em will presumablyhave appeared in MAA's _american_mathematical_monthly_(which i used to see regularly).i've been doing "lectures without words" in zine form (and distributingthem in the low dozens) for, what,the better part of a year or so.the "dissection" here(early on, in black-and-white),for me, qualifies as "without words"(and as a "proof from the book"per pal erdos). my first exposure to proof-by-dissection, though,was the far-less-obvious BEHOLDproof attributed to bhaskara.i saw it in the justly-famousdolciani series of highschool texts.owen thomas
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