A New Perspective on Three-Dimensional Geometry

Autor/inn/en	Circello, Jennifer E.; Filkins, Scott R.
Titel	A New Perspective on Three-Dimensional Geometry
Quelle	In: Mathematics Teacher, 105 (2011) 5, S.340-345 (6 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Educational Strategies; Figurative Language; Geometric Concepts; Geometry; Teaching Methods; Inquiry; Mathematics Education; Questioning Techniques; Comprehension; Visual Stimuli; Learner Engagement; Mathematics Activities; Middle School Students; Middle Schools; Mathematics Teachers + Suchen Sie Ihr Suchwort? Lehrstrategie; Elementare Geometrie; Geometrie; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematische Bildung; Befragungstechnik; Fragetechnik; Verstehen; Verständnis; Middle school; Middle schools; Student; Students; Mittelschule; Mittelstufenschule; Schüler; Schülerin; Mathematics; Teacher; Teachers; Mathematik; Lehrer; Lehrerin; Lehrende
Abstract	Students' lack of understanding about the relationships between geometry in two and three dimensions led the author to a surprising source of inspiration--the ancient philosopher and geometer Plato. From a theoretical perspective, the author's approach embodies the four instructional strategies that Eggen and Kauchak (2001) suggest for engaging students in exploration of new content: (1) demonstration; (2) discrepant events; (3) visual display; and (4) thought-provoking questions. Just as significant, this approach lays the foundation for thoughtful inquiry into mathematics, prompting observation, comparison between what is already known or understood, questioning, interpretation, discussion, and writing. This article describes a geometric solids unit inspired by Plato's Cave Allegory that uses different forms of three-dimensional objects to give students a clearer understanding of the realities of these objects and to improve their level of questioning and understanding. (Contains 5 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