Literaturnachweis - Detailanzeige
Autor/inn/en | Tobias, Jennifer M.; Andreasen, Janet B. |
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Titel | Developing Multiplicative Thinking from Additive Reasoning |
Quelle | In: Teaching Children Mathematics, 20 (2013) 2, S.102-109 (8 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 1073-5836 |
Schlagwörter | Mathematics Instruction; Elementary School Mathematics; Mathematical Concepts; Multiplication; Mathematical Logic; Addition; Teaching Methods; Concept Formation; Dining Facilities |
Abstract | As students progress through elementary school, they encounter mathematics concepts that shift from additive to multiplicative situations (NCTM 2000). When they encounter fraction problems that require multiplicative thinking, they tend to incorrectly extend additive properties from whole numbers (Post et al. 1985). As a result, topics such as fraction equivalence are difficult for students to understand even after formal instruction (Kamii and Clark 1995; Ni 2001). Fraction equivalence is "generally viewed as the ability to call the same number by different names, the ability to ignore or imagine partition lines, and/or a manifestation of flexible thought" (Kamii and Clark 1995). When generating equivalent fractions, students typically multiply or divide the numerator and denominator by the same factor. By building on additive strategies, such as unit and composite unit relationships, teachers can give students a foundation for developing an understanding of these multiplicative strategies on their own. In this article, authors use the context of restaurants to teach a lesson in equivalent fractions. (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 |