What If We Lived in Flatland?

Autor/inn/en	Anderson, Rick; Princko, Jamie A.
Titel	What If We Lived in Flatland?
Quelle	In: Mathematics Teaching in the Middle School, 16 (2011) 7, S.400-406 (7 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1072-0839
Schlagwörter	Middle Schools; Geometric Concepts; Geometry; Mathematics Instruction; Mathematical Concepts; Secondary School Mathematics; Scientific Concepts + Suchen Sie Ihr Suchwort? Middle school; Mittelschule; Mittelstufenschule; Elementare Geometrie; Geometrie; Mathematics lessons; Mathematikunterricht
Abstract	The authors wanted their students to consider mathematical notions of space and dimension, which are typically not part of the middle school curriculum. They developed a two-week lesson that was drawn from the curriculum unit "Exploring the Shape of Space" (Weeks 2001). They began by considering implications of living in a two-dimensional universe, which they introduced as "Flatland." Next, they considered ways that a two-dimensional universe could be connected and whether or not such a universe had a boundary. Students traversed new mathematical territory as they imagined life in a two-dimensional universe. Finally, students considered how their thinking of two-dimensional universes could extend to three or even four dimensions. The authors hoped that students would be challenged to think more deeply about two- and three-dimensional space and expand their conception of shape. They enjoyed exploring mathematical ideas not usually encountered in the middle grades but which were still connected to topics in the curriculum. They also learned more about students' thinking. They found that many of them had a concept of shape that was limited to two-dimensional geometric forms such as a square, a rectangle, or a triangle. (Contains 5 figures and 1 table.) (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