The Construction of New Mathematical Knowledge in Classroom Interaction

The Construction of New Mathematical Knowledge in Classroom Interaction
Author :
Publisher : Springer Science & Business Media
Total Pages : 254
Release :
ISBN-10 : 0387242511
ISBN-13 : 9780387242514
Rating : 4/5 (11 Downloads)

Book Synopsis The Construction of New Mathematical Knowledge in Classroom Interaction by : Heinz Steinbring

Download or read book The Construction of New Mathematical Knowledge in Classroom Interaction written by Heinz Steinbring and published by Springer Science & Business Media. This book was released on 2005-03-22 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Construction of New Mathematical Knowledge in Classroom Interaction Related Books

The Construction of New Mathematical Knowledge in Classroom Interaction
Language: en
Pages: 254
Authors: Heinz Steinbring
Categories: Education
Type: BOOK - Published: 2005-03-22 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product
The Construction of New Mathematical Knowledge in Classroom Interaction
Language: en
Pages: 242
Authors: Heinz Steinbring
Categories: Education
Type: BOOK - Published: 2006-03-30 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product
Constructing Mathematical Knowledge
Language: en
Pages: 609
Authors: Paul Ernest
Categories: Education
Type: BOOK - Published: 2003-09-02 - Publisher: Routledge

DOWNLOAD EBOOK

This book provides a panorama of complimentary and forward looking perspectives on the learning of mathematics and epistemology from some of the leading contrib
Didactics of Mathematics as a Scientific Discipline
Language: en
Pages: 459
Authors: Rolf Biehler
Categories: Education
Type: BOOK - Published: 2006-04-11 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Didactics of Mathematics as a Scientific Discipline describes the state of the art in a new branch of science. Starting from a general perspective on the didact