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The mathematical experience by Gian-Carlo Rota, Philip J. Davis, Reuben Hersh

The mathematical experience Gian-Carlo Rota, Philip J. Davis, Reuben Hersh ebook
Page: 455
Publisher: Houghton Mifflin Company
ISBN: 039532131X, 9780395321317
Format: pdf

This idea appeared again when reading The Mathematical Experience by Philip J. The Mathematical Experience Book I've lived under the illusion that Mathematics is a body of “proven” knowlege, all of which can be completely and consistently derived logically from a set of “self-evident” axioms. Hofstadter is not inimical to mathematics as the lingua franca of science, which we think is detrimental to human thought, and a contrivance that is unreal, a concoction that gives scientists a mantle of authority that it doesn't really deserve. I like the atheist experience because it's one of the only places in my life where I can actually for for good skeptical, rational conversation, and I feel that this is anything but. The teacher's role is NOT to do the work for the students or just tell them the answers. Off topic "The mathematical experience" by Philip Davis and Reuben Hersh is an amusing collection of articles about the cultural context of mathematics. But it never hurts to make some points explicit. Why sing the praises of a mathematical idea when, in the real world, no logical person would choose to use it to solve a problem? Math is bogus, and used by science to make . I considered this an opportunity to plant an exponential growth seed and restore a bit of surprise to the everyday mathematical experience of these students. Never mind the physical constants that one could in principle measure: yagotta wonder why these guys don't generate woo about the purely mathematical constants that just keep turning up in places they seemingly shouldn't, like e and pi. By guiding students and asking them questions the teacher can lead students to a successful and powerful mathematics experience. They are not for everyone, but if teachers and parents are sensible and sensitive, they can, for many kids, enhance the mathematical experience. This book really does reflect my fundamental belief that mathematics can be a joyful and meaningful experience for all.