Literaturnachweis - Detailanzeige
| Autor/in | Ellis, Amy B. |
|---|---|
| Titel | Connections between Generalizing and Justifying: Students' Reasoning with Linear Relationships |
| Quelle | In: Journal for Research in Mathematics Education, 38 (2007) 3, S.194-229 (36 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0021-8251 |
| Schlagwörter | Algebra; Generalization; Mathematical Logic; Mathematics Instruction; Middle School Students; Secondary School Mathematics; Problem Solving; Thinking Skills |
| Abstract | Research investigating algebra students' abilities to generalize and justify suggests that they experience difficulty in creating and using appropriate generalizations and proofs. Although the field has documented students' errors, less is known about what students do understand to be general and convincing. This study examines the ways in which seven middle school students generalized and justified while exploring linear functions. Students' generalizations and proof schemes were identified and categorized in order to establish connections between types of generalizations and types of justifications. These connections led to the identification of four mechanisms for change that supported students' engagement in increasingly sophisticated forms of algebraic reasoning: (a) iterative action/reflection cycles, (b) mathematical focus, (c) generalizations that promote deductive reasoning, and (d) influence of deductive reasoning on generalizing. (Contains 9 figures and 3 footnotes.) (Author). |
| 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 |
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