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Year 6 students' idiosyncratic notions of unitising, reunitising and regrouping decimal number places

Baturo, Annette R. & Cooper, Thomas J. (2000) Year 6 students' idiosyncratic notions of unitising, reunitising and regrouping decimal number places. In Nakahara, Tadao & Koyama, Masataka (Eds.) Proceedings of : the 24th Conference of the International Group for the Psychology of Mathematics Education, 23-27 July 2000, Hiroshima, Japan.

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Abstract

Having flexible notions of the unit (e.g., 26 ones can be thought of as 2.6 tens, 1 ten 16 ones, 260 tenths, etc.) should be a major focus of elementary mathematics education. However, often these powerful notions are relegated to computations where the major emphasis is on "getting the right answer" thus procedural knowledge rather than conceptual knowledge becomes the primary focus. This paper reports on 22 high-performing students' reunitising processes ascertained from individual interviews on tasks requiring unitising, reunitising and regrouping; errors were categorised to depict particular thinking strategies. The results show that, even for high-performing students, regrouping is a cognitively complex task. This paper analyses this complexity and draws inferences for teaching.

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ID Code: 27528
Item Type: Conference Paper
Keywords: Cognitive processes, Computation, Error patterns, Mathematical concepts, Year 6
ISSN: 0771-100X
Subjects: Australian and New Zealand Standard Research Classification > EDUCATION (130000) > CURRICULUM AND PEDAGOGY (130200) > Mathematics and Numeracy Curriculum and Pedagogy (130208)
Divisions: Current > Research Centres > Office of Education Research
Current > Schools > School of Curriculum
Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 2000 please contact the authors.
Deposited On: 24 Sep 2009 16:40
Last Modified: 25 Mar 2013 18:09

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