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Synopsis
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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- ÉditeurSpringer-Verlag New York Inc.
- Date d'édition2005
- ISBN 10 0387242511
- ISBN 13 9780387242514
- ReliureRelié
- Langueanglais
- Nombre de pages236
- Coordonnées du fabricantnon disponible
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The careful analysis of several episodes of mathematics teaching in primary school is based on an epistemologically oriented analysis Steinbring has developed and applied to mathematics teaching of different gradesMathematics is generally conside. N° de réf. du vendeur 5909355
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 252 pp. Englisch. N° de réf. du vendeur 9780387242514
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Buch. Etat : Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 252 pp. Englisch. N° de réf. du vendeur 9780387242514
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The Construction of New Mathematical Knowledge in Classroom Interaction : An Epistemological Perspective
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9780387242514
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