'The Area of a Triangle Is 180°C'--An Analysis of Learners' Idiosyncratic Geometry Responses through the Lenses of Vygotsky's Theory of Concept Formation

Autor/inn/en	Mhlolo, Michael Kainose; Schafer, Marc
Titel	'The Area of a Triangle Is 180°C'--An Analysis of Learners' Idiosyncratic Geometry Responses through the Lenses of Vygotsky's Theory of Concept Formation
Quelle	In: African Journal of Research in Mathematics, Science and Technology Education, 17 (2013) 1-2, S.83-93 (11 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1029-8457
DOI	10.1080/10288457.2013.826973
Schlagwörter	Geometry; Mathematics Instruction; Concept Formation; Teaching Methods; Task Analysis; Mathematical Concepts; High School Students; Foreign Countries; South Africa + Suchen Sie Ihr Suchwort? Geometrie; Mathematics lessons; Mathematikunterricht; Concept learning; Begriffsbildung; Teaching method; Lehrmethode; Unterrichtsmethode; Aufgabenanalyse; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Ausland; Südafrika; Süd-Afrika; Republik Südafrika; Südafrikanische Republik
Abstract	In this paper, we focus specifically on Vygotsky's theory of concept formation to gain initial insights into seemingly garbled and incoherent connections we observed in learners' responses to a geometry task. While acknowledging research that is supportive of the van Hiele model as being useful when analysing concept formation in geometry, in this paper we use empirical evidence to argue that today's geometry requires learners to reason with many tools which the van Hiele model does not seem to accommodate. Working with 470 written responses of 12-14-year-old learners to a geometry task, we then explored the potential of Vygotsky's theory of concept formation as an alternative framework. We conclude by discussing the paper's contribution both to theory and to classroom practice. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01