I greatly admire Paul Lockhart's Measurement (Harvard Press). Many of you know him through A Mathematician's Lament. One review of Measurement said,
“Here Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.”
But I do not see a way to integrate this into a conventional mathematics course (say, for undergraduates).
Q. Can anyone see a way to use Lockhart's Measurement in mathematics education, either in a conventional course, or as a supplement, or for guided independent study?
Measurement: Table of Contents:
Added. One could imagine Part One supplementing a first course in Geometry, and Part Two supplementing Calculus I. But the style is so unique that I can't decide if it would be better for these sections to proceed or to follow geometry/calculus. But really the true thrust of the book is to understand what it means to pursue mathematics.
I like this quote (where "we" = "we mathematicians"):
We're always working at the edge of the unknown, and we're always stuck.
A few SE citations of Measurement: