Four (Algorithms) in One (Bag): An Integrative Framework of Knowledge for Teaching the Standard Algorithms of the Basic Arithmetic Operations

Autor/inn/en	Raveh, Ira; Koichu, Boris; Peled, Irit; Zaslavsky, Orit
Titel	Four (Algorithms) in One (Bag): An Integrative Framework of Knowledge for Teaching the Standard Algorithms of the Basic Arithmetic Operations
Quelle	In: Research in Mathematics Education, 18 (2016) 1, S.43-60 (18 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1479-4802
DOI	10.1080/14794802.2016.1141313
Schlagwörter	Mathematics Instruction; Arithmetic; Knowledge Level; Knowledge Base for Teaching; Elementary School Teachers; Elementary School Mathematics; Mathematics Teachers; Mathematical Concepts; Concept Formation; Semi Structured Interviews; Computation; Foreign Countries; Israel + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Wissensbasis; Teaching theory; Theory of teaching; Unterrichtstheorie; Elementary school; Teacher; Teachers; Grundschule; Volksschule; Lehrer; Lehrerin; Lehrende; Elementare Mathematik; Schulmathematik; Mathematics; Mathematik; Concept learning; Begriffsbildung; Ausland
Abstract	In this article we present an integrative framework of knowledge for teaching the standard algorithms of the four basic arithmetic operations. The framework is based on a mathematical analysis of the algorithms, a connectionist perspective on teaching mathematics and an analogy with previous frameworks of knowledge for teaching arithmetic operations with rational numbers. In order to evaluate the potential applicability of the framework to task design, it was used for the design of mathematical learning tasks for teachers. The article includes examples of the tasks, their theoretical analysis, and empirical evidence of the sensitivity of the tasks to variations in teachers' knowledge of the subject. This evidence is based on a study of 46 primary school teachers. The article concludes with remarks on the applicability of the framework to research and practice, highlighting its potential to encourage teaching the four algorithms with an emphasis on conceptual understanding. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01