Proof by Contradiction: Teaching and Learning Considerations in the Secondary Mathematics Classroom

Autor/in	Hine, Gregory
Titel	Proof by Contradiction: Teaching and Learning Considerations in the Secondary Mathematics Classroom
Quelle	In: Australian Mathematics Education Journal, 1 (2019) 3, S.28-32 (5 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2652-0176
Schlagwörter	Mathematics Instruction; Mathematical Logic; Validity; Secondary School Mathematics; Secondary School Students; Foreign Countries; Problem Solving; Teaching Methods; Australia + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Mathematical logics; Mathematische Logik; Gültigkeit; Sekundarschüler; Ausland; Problemlösen; Teaching method; Lehrmethode; Unterrichtsmethode; Australien
Abstract	This professional practice paper is underpinned philosophically by the indisputable centrality of proof to the discipline of mathematics. Proof offers students the opportunity to deepen their own understanding of mathematical ideas, to construct and defend logical arguments, and to think critically about the veracity of mathematical statements. Such opportunities afford students key skills required for further study, and arguably for a myriad of careers. Proof by contradiction is a particular mathematical technique taught in Australian senior secondary classrooms (ACMSM025, ACMSM063) which will be explored in this paper. In particular, several worked examples will be outlined alongside implications for best instructional practice within the context of the secondary mathematics classroom. (As Provided).
Anmerkungen	Australian Association of Mathematics Teachers (AAMT). Tel: +61-8-8363-0288; e-mail: office@aamt.edu.au; Web site: https://primarystandards.aamt.edu.au/Journals
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2021/2/06