Abstraction and Consolidation

Autor/inn/en	Monaghan, John; Ozmantar, Mehmet Fatih
Titel	Abstraction and Consolidation
Quelle	In: Educational Studies in Mathematics, 62 (2006) 3, S.233-258 (26 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1954
DOI	10.1007/s10649-006-8753-x
Schlagwörter	Stellungnahme; Abstract Reasoning; Student Research; Cognitive Processes; Mathematics Education; Theory Practice Relationship; Program Descriptions; Context Effect; Persuasive Discourse; Mathematical Concepts; Concept Formation + Suchen Sie Ihr Suchwort? Abstraktes Denken; Denken; Studentenforschung; Cognitive process; Kognitiver Prozess; Mathematische Bildung; Theorie-Praxis-Beziehung; Persuasion; Persuasive Kommunikation; Concept learning; Begriffsbildung
Abstract	The framework for this paper is a recently developed theory of abstraction in context. The paper reports on data collected from one student working on tasks concerned with absolute value functions. It examines the relationship between mathematical constructions and abstractions. It argues that an abstraction is a consolidated construction that can be used to create new constructions. Newly formed constructions are fragile entities. In the course of consolidating a construction this student creates connections between the new construction and already established mathematical knowledge and develops a language to describe and guide mathematical actions related to the construction. The resulting abstraction is a more resilient form of the construction and the student is able to justify his assertions. The paper also examines issues in designing tasks to consolidate a construction. (Author).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10