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ERIC Number: EJ1097517
Record Type: Journal
Publication Date: 2016-May
Pages: 18
Abstractor: As Provided
ISSN: ISSN-0013-1954
Prospective Teachers' Understanding of the Multiplicative Part-Whole Relationship of Fraction
Castro-Rodríguez, Elena; Pitta-Pantazi, Demetra; Rico, Luis; Gómez, Pedro
Educational Studies in Mathematics, v92 n1 p129-146 May 2016
The part-whole multiplicative relationship, as a topic that gives rise to the concept of fraction, is fundamental in education at the primary school level, and must therefore be included in training courses for prospective primary school teachers (PSTs). In this paper, we introduce a first study of a larger project, which aims to understand the usefulness of a semantic triangle in studying prospective teachers' knowledge of various mathematical topics. In particular, we present the results of a study focused in the starting level of the fraction concept, based on the multiplicative part-whole relationship. We carried out this study with PSTs by means of a questionnaire. We analyzed the collected responses using a framework of three components that form a semantic triangle, in terms of their conceptual structure, system of representations, and contexts and modes of use of the part-whole relationship. The results show different typologies of meaning expressed by the participants in terms of the semantic triangle. Each typology emphasizes some aspects of the meaning of the part-whole relationship such as the equality of parts, the model of area as representation and the context of division.
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Publication Type: Journal Articles; Reports - Research
Education Level: Elementary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A