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The Construction of New Mathematical Knowledge in Classroom Interaction PDF
By:Heinz Steinbring
Published on 2006-03-30 by Springer Science & Business Media

Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics| (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct| which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.

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Book which was published by Springer Science & Business Media since 2006-03-30 have ISBNs, ISBN 13 Code is 9780387242538 and ISBN 10 Code is 0387242538

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