دانلود کتاب Language of Mathematics: Telling Mathematical Tales

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The Language of Mathematics: Telling Mathematical Tales emerges from several contemporary concerns in mathematics, language, and mathematics, education, but takes a different stance with respect to language. Rather than investigating the way language or culture impacts mathematics and how it is learned, this book begins by examining different languages and how they express mathematical ideas, using this evidence to argue for a particular view of mathematics as a subject. The picture of mathematics that emerges is of a subject that is much more contingent, relative, and subject to human experience than is usually accepted. Barton's thesis takes the idea of mathematics as a human creation, and, using the evidence from language, comes to more radical conclusions than conventional research.Simple English language statements are expressed quite differently in some other languages, not simply represented with different vocabularies or an underlying base of the number system. Variety occurs in the way languages express numbers, the grammar of mathematical discourse. The first part of The Language of Mathematics: Telling Mathematical Tales explores these differences and also illustrates the possibility of different mathematical worlds. This section provides evidence of language difference with respect to mathematic talk and demonstrates the congruence between mathematics as we know it and the English language. Other languages are not so congruent.Part II discusses what this means for mathematics and argues for alternative answers to conventional questions about mathematics: where it comes from, how it develops, what it does and what it means. The notion that mathematics is the same foreveryone, that it is an expression of universal human thought is challenged. In addition, it is concerned with the relationship between language and mathematical thought and argues that the mathematical creativity embedded in minority languages should continue to be explored. The final section explores implications for mathematics education, discussing the consequences for the ways in which we learn and teach mathematics. The Language of Mathematics: Telling Mathematical Tales will appeal to those interested in exploring the nature of mathematics, mathematics educators, researchers and graduate students of mathematics education.