Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Construction of New Mathematical Knowledge in Classroom Interaction: An Epistemological Perspective

The Construction of New Mathematical Knowledge in Classroom Interaction: An Epistemological Perspective

Steinbring, Heinz

Hardcover

Series: Mathematics Education Library, Book 38

PhilosophyGeneral EducationGeneral Mathematics

ISBN10: 0387242511
ISBN13: 9780387242514
Publisher: Springer Nature
Published: Mar 22 2005
Pages: 236
Weight: 1.17
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English
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.

1 different editions

Also available

Also in

Philosophy

View All