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ERIC Number: EJ1113959
Record Type: Journal
Publication Date: 2016
Pages: 24
Abstractor: As Provided
ISSN: ISSN-1442-3901
Pre-Service Teachers' Understanding of Fraction Multiplication, Representational Knowledge, and Computational Skills
Son, Ji-Won; Lee, Ji-Eun
Mathematics Teacher Education and Development, v18 n2 p5-28 2016
Despite the importance of teacher fractional knowledge, there are several areas of teacher understanding that are not well understood. The purpose of this study was to characterise profiles of pre-service teachers' (PSTs) mathematical competence on the topic of fraction multiplication by examining PSTs' understanding of multiplication of fractions in three different contexts. Analyses of 60 PSTs' written responses revealed that there are distinct gradations of competency, ranging from the PSTs who were unable to solve a given problem in any context to those capable of flexibly portraying understanding of fraction multiplication in three contexts. Most PSTs who recognised the word problem as a multiplication of fractions were able to explain their thinking using graphical representations. However, we also observed various types of errors PSTs made in representing the word problem in graphical representations and translating it to a correct multiplication expression. These findings offer descriptors of how the PSTs understand fraction multiplication in different contexts and provide information for the design of interventions in teacher education. One objective would be to support recognition of the connectivity of fraction multiplication in different contexts.
Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A