Could the Ideas of T.S. Kuhn Revolutionise Mathematics Teaching?

Autor/inn/en	Mills, Terence; Sacrez, Aimé
Titel	Could the Ideas of T.S. Kuhn Revolutionise Mathematics Teaching?
Quelle	In: Australian Mathematics Education Journal, 2 (2020) 1, S.35-39 (5 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2652-0176
Schlagwörter	Mathematics Instruction; Cultural Differences; Models; Change; Educational History; Constructivism (Learning); Number Systems; Algebra; Geometry; Mathematical Concepts; Middle School Students; High School Students; Secondary School Mathematics; Foreign Countries; Learning Activities; Elementary School Mathematics; Australia + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Kultureller Unterschied; Analogiemodell; Wandel; History of education; Bildungsgeschichte; Number system; Zahlensystem; Geometrie; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; High school; High schools; Oberschule; Studentin; Ausland; Lernaktivität; Elementare Mathematik; Schulmathematik; Australien
Abstract	Thomas Kuhn (1962/2012) introduced the term "paradigm shift" to the scientific literature to describe how knowledge in science develops. The aims of this article are to identify paradigm shifts, or revolutions, that have occurred in mathematics, and to discuss their relevance to teaching mathematics in schools. The authors argue that Kuhn's ideas could be used to promote awareness that mathematics adapts to different cultural and historical contexts. In this article, they give a brief outline of the key ideas in Kuhn (1962/2012). Then, they consider its relevance to the development of mathematics. Have there been revolutions in mathematics? They go on to explore links between Kuhn's ideas and Piaget's theory of constructivism. They propose five topics from the "Australian Curriculum: Mathematics" that could be regarded as revolutionary in the sense of Kuhn: the Hindu-Arabic numeral system, algebra, irrational numbers, coordinate geometry, and infinity. They then suggest a sequence of lessons aimed at presenting one of these topics to middle years and senior secondary classes. Conclusions are presented in the final section. (ERIC).
Anmerkungen	Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01