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Audrey's Acquisition of Fractions: A Case Study into the Learning of Formal Mathematics

Ronald Keijzer and Jan Terwel
Educational Studies in Mathematics
Vol. 47, No. 1 (2001), pp. 53-73
Published by: Springer
Stable URL: http://www.jstor.org/stable/3483253
Page Count: 21
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Audrey's Acquisition of Fractions: A Case Study into the Learning of Formal Mathematics
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Abstract

National standards for teaching mathematics in primary schools in the Netherlands leave little room for formal fractions. However, a newly developed programme in fractions aims at learning formal fractions. The starting point in the development of this curriculum is the students' acquisition of 'numeracy in fractions'. In this case study we describe the growth in reasoning ability with fractions of one student in this newly developed programmed of 30 lessons during one whole school year. In the study we found indications that the programme and its teaching stimulated the progress of an average performer in mathematics. Moreover we found arguments as to what extent formal operations with fractions suits as an educational goal.

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