By Bill Barton

ISBN-10: 0387231587

ISBN-13: 9780387231587

The Language of arithmetic: Telling Mathematical stories emerges from numerous modern matters in arithmetic, language, and arithmetic, schooling, yet takes a unique stance with admire to language. instead of investigating the way in which language or tradition affects arithmetic and the way it truly is discovered, this e-book starts through studying diverse languages and the way they exhibit mathematical principles, utilizing this proof to argue for a selected view of arithmetic as a topic. the image of arithmetic that emerges is of an issue that's even more contingent, relative, and topic to human adventure than is generally permitted. Barton's thesis takes the belief of arithmetic as a human production, and, utilizing the facts from language, involves extra radical conclusions than traditional research.Simple English language statements are expressed really in a different way in another languages, now not easily represented with assorted vocabularies or an underlying base of the quantity method. type happens within the approach languages exhibit numbers, the grammar of mathematical discourse. the 1st a part of The Language of arithmetic: Telling Mathematical stories explores those changes and likewise illustrates the potential of diverse mathematical worlds. This part offers proof of language distinction with appreciate to mathematic speak and demonstrates the congruence among arithmetic as we all know it and the English language. different languages usually are not so congruent.Part II discusses what this implies for arithmetic and argues for replacement solutions to traditional questions on arithmetic: the place it comes from, the way it develops, what it does and what it skill. The proposal that arithmetic is similar foreveryone, that it truly is an expression of common human proposal is challenged. furthermore, it's keen on the connection among language and mathematical concept and argues that the mathematical creativity embedded in minority languages should still stay explored. the ultimate part explores implications for arithmetic schooling, discussing the results for the ways that we examine and train arithmetic. The Language of arithmetic: Telling Mathematical stories will attract these attracted to exploring the character of arithmetic, arithmetic educators, researchers and graduate scholars of arithmetic schooling.