The Language of Mathematics
Telling Mathematical Tales
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ISBN-13:
9780387728582
Veröffentl:
2007
Erscheinungsdatum:
13.11.2007
Seiten:
186
Autor:
Bill Barton
Gewicht:
431 g
Format:
244x165x24 mm
Sprache:
Englisch
Beschreibung:
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. 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 usual.
The book emerges from several contemporary concerns in mathematics, language, and mathematics education. It combines discussion of linguistics and mathematics using examples from each to illustrate the other. The main field is that of ethnomathematics, and the work of Ubiratan D'Ambrosio in bringing to our awareness the sociocultural context of mathematics and its pedagogy. The book contains original material and ideas. It is based on experience and describes many examples to provide new insights into common mathematical experiences like fractions and circles.
Speaking Mathematics Differently.- Space: Points of Reference.- Space: Static and Dynamic World Views.- Quantity: Trapping Numbers in Grammatical Nets.- Language and Mathematics.- The Evidence from Language.- Mumbling, Metaphors, & Mindlocks: The Origins of Mathematics.- A Never-Ending Braid: the Development of Mathematics.- What is Mathematics? Philosophical Comments.- Implications for Mathematics Education.- Learning Mathematics.- Multilingual and Indigenous Mathematics Education.
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