How Did You Do that so Quickly?

Autor/in	Griffiths, Martin
Titel	How Did You Do that so Quickly?
Quelle	In: Mathematics Teaching, (2010) 220, S.18-19 (2 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5785
Schlagwörter	Mathematics Education; Number Concepts; Problem Solving; Task Analysis; Mathematics Teachers; Computation; Arithmetic; Class Activities; Higher Education + Suchen Sie Ihr Suchwort? Mathematische Bildung; Number concept; Zahlbegriff; Problemlösen; Aufgabenanalyse; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Hochschulbildung; Hochschulsystem; Hochschulwesen
Abstract	In "MT218" the author looked at the possibility of basing a classroom activity on a simple, though not totally transparent, number-theoretic result. In this article he considers another relatively straightforward idea from number theory that could be used either as a lesson starter or as the basis of a more substantial task, requiring students to explore the underlying mathematics and to justify their findings. The content would be appropriate for year-nine students and above. A mathematical "trick" is at its most effective when it promotes both motivation and understanding--as otherwise it becomes some handle-turning procedure and is really rather pointless. By demonstrating and then unravelling the mental trick described in this article, one is indeed able to provide students with the opportunity to explore, and become acquainted with, the beautiful multiplicative structure of the integers. Many students, whilst going through exercises in a textbook on factors, multiples and primes, will actually have little or no idea that the integers possess this deep underlying multiplicative structure. The activity given in this article can be used as a follow-up to such work, allowing students to make mathematical connections, and thus to develop a more holistic view of the subject. (Contains 1 table.) (ERIC).
Anmerkungen	Association of Teachers of Mathematics. Unit 7 Prime Industrial Park, Shaftesbury Street, Derby, DE23 8YB, UK. Tel: +44-1332-346599; e-mail: admin@atm.org.uk; Web site: http://www.atm.org.uk/mt/index.html
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10