Preparing for Formal Proofs in Geometry

Autor/in	Johnson, Art
Titel	Preparing for Formal Proofs in Geometry
Quelle	In: Mathematics Teacher, 103 (2009) 4, S.291-297 (7 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Mathematics Teachers; Geometry; Teacher Role; Individual Development; Mathematical Logic; Validity; Logical Thinking; Thinking Skills + Suchen Sie Ihr Suchwort? Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende; Geometrie; Lehrerrolle; Individuelle Entwicklung; Mathematical logics; Mathematische Logik; Gültigkeit; Denkfähigkeit
Abstract	One way in which geometry teachers can help students develop their reasoning is by providing proof-readiness experiences. Blum and Kirsch (1991) suggest that "preformal proofs" can help students develop deductive reasoning. Preformal proofs, which follow the basic principles of deductive reasoning, can help prepare students for formal deduction in proof and develop an understanding of the power of formal proof in mathematics. This article discusses two activities that help students reason deductively from facts to a conclusion: conclusion quickies and mystery problems. Geometry teachers can use these activities early in the year to give students experience in using deduction and proof. Students learn to focus on important facts, reason from those facts to a conclusion, and then offer supporting reasons or proof for their conclusions. (Contains 2 figures.) (ERIC).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10