2009/03/30

The Language of Mathematics

Bill Barton has written a book called The Language of Mathematics, which has been published by Springer recently. The connection between mathematics and language has been discussed a lot by others before, and this appears to be a nice contribution to this discussion. The book is written for researchers, graduate students and teachers of mathematics education. Unfortunately, I haven't got this book myself (yet), so I can only provide you with a copy of the publisher's description of it:
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.

Everyday mathematical ideas are expressed quite differently in different languages. Variety occurs in the way languages express numbers, describe position, categorise patterns, as well as in the grammar of mathematical discourse. The first part of The Language of Mathematics: Telling Mathematical Tales explores these differences and thus illustrates the possibility of different mathematical worlds. This section both provides evidence of language difference with respect to mathematic talk and also 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 for everyone, that it is an expression of universal human thought, is challenged. In addition, the relationship between language and mathematical thought is used to argue 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.


3 comments:

Simon Says to . . . said...

This literary approach to mathematics is not only refreshing but also equally intriguing. It allows readers to step away from the dichotomy of mathematics that so many of us have been schooled to adopt and explore the sociological elements in it. Additionally, it fosters a connection and understanding between mathematics and human expression that is rarely bridged. But most importantly, it challenges the so-called universal nature of mathematics that many of us have assumed.

Charles Wells said...

I apologize for the personal plug, but my website on language and math at
http://www.abstractmath.org/MM/MMLangMath.htm
has lots of references and links.

Reidar said...

Simon and Charles: Thanks a lot for your comments! I agree with your points very much, Simon.

Thanks for the link, Charles! Your site looks interesting indeed!

-r