Literaturnachweis - Detailanzeige
Autor/in | Nilsson, Per |
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Titel | A Framework for Investigating Qualities of Procedural and Conceptual Knowledge in Mathematics--An Inferentialist Perspective |
Quelle | In: Journal for Research in Mathematics Education, 51 (2020) 5, S.574-599 (26 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0021-8251 |
Schlagwörter | Mathematics Instruction; Grade 6; Discussion (Teaching Technique); Inferences; Teaching Methods; Knowledge Level; Mathematical Concepts; Concept Formation; Mathematical Logic |
Abstract | This study introduces inferentialism and, particularly, the "Game of Giving and Asking for Reasons" (GoGAR), as a new theoretical perspective for investigating qualities of procedural and conceptual knowledge in mathematics. The study develops a framework in which procedural knowledge and conceptual knowledge are connected to limited and rich qualities of GoGARs. General characteristics of limited GoGARs are their atomistic, implicit, and noninferential nature, as opposed to rich GoGARs, which are holistic, explicit, and inferential. The mathematical discussions of a Grade 6 class serve the case to show how the framework of procedural and conceptual GoGARs can be used to give an account of qualitative differences in procedural and conceptual knowledge in the teaching of mathematics. (As Provided). |
Anmerkungen | National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191. Tel: 800-235-7566; Tel: 703-620-9840; Fax: 703-476-2570; e-mail: publicationsdept@nctm.org; Web site: https://pubs.nctm.org/ |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2024/1/01 |