Literaturnachweis - Detailanzeige
| Autor/in | Young-Loveridge, Jenny |
|---|---|
| Titel | Fostering Multiplicative Thinking Using Array-Based Materials |
| Quelle | In: Australian Mathematics Teacher, 61 (2005) 3, S.34-40 (7 Seiten)
PDF als Volltext (1); PDF als Volltext kostenfreie Datei (2) |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0045-0685 |
| Schlagwörter | Arithmetic; Mathematical Models; Computation; Thinking Skills; Learning Strategies; Multiplication; Numbers; Numeracy; Mathematics Instruction |
| Abstract | If the goal is to promote mathematical thinking and help children become flexible problem solvers, then it is important to show students multiple representations of a problem. Because it is important to help students develop both counting-based and collections-based conceptions of number, teachers should be showing students both number line (counting-based) and array (collections-based) models of multiplication. Arrays allow students to develop a deeper and more flexible understanding of multiplication/division, and to fully appreciate the two-dimensionality of the multiplicative process. Because the grids presented in this paper are structured to show the ten-based structure of the number system, and enable various different partitioning possibilities to be shown using different colouring/shading, they provide a basis for students to image or visualise multiplicative processes. Arrays have enormous potential at the senior primary and secondary school levels to help strengthen students' multiplicative thinking. The multi-coloured/shaded grids described provide a practical means of doing this. (Contains 2 figures.) (ERIC). |
| Anmerkungen | Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide, South Australia 5001. Tel: +61 8 8363 0288; Fax: +61 8 8362 9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au. |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2017/4/10 |
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