Date: 24 Oct 2012
Teaching prospective teachers about fractions: historical and pedagogical perspectives
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Research shows that students, and sometimes teachers, have trouble with fractions, especially conceiving of fractions as numbers that extend the whole number system. This paper explores how fractions are addressed in undergraduate mathematics courses for prospective elementary teachers (PSTs). In particular, we explore how, and whether, the instructors of these courses address fractions as an extension of the whole number system and fractions as numbers in their classrooms. Using a framework consisting of four approaches to the development of fractions found in history, we analyze fraction lessons videotaped in six mathematics classes for PSTs. Historically, the first two approaches—part–whole and measurement—focus on fractions as parts of wholes rather than numbers, and the last two approaches—division and set theory—formalize fractions as numbers. Our results show that the instructors only implicitly addressed fraction-as-number and the extension of fractions from whole numbers, although most of them mentioned or emphasized these aspects of fractions during interviews.
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- Teaching prospective teachers about fractions: historical and pedagogical perspectives
Educational Studies in Mathematics
Volume 82, Issue 3 , pp 455-479
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- Whole numbers
- Rational numbers
- Measurement and ratio
- Pre-service teacher education
- Elementary Mathematics
- Industry Sectors
- Author Affiliations
- 1. Department of Mathematical Sciences, University of Delaware, 402 Ewing Hall, Newark, DE, 19711, USA
- 2. Kaput Center for Research and Innovation in STEM Education, University of Massachusetts Dartmouth, 200 Mill Road, Suite 150B, Fairhaven, MA, 02719, USA
- 3. Teacher Education, Michigan State University, 620 Farm Lane #114B, East Lansing, MI, 48824, USA