Place value, multiplicativity, reunitizing and effective classroom teaching of decimal numeration

Baturo, Annette R. (1999) Place value, multiplicativity, reunitizing and effective classroom teaching of decimal numeration. In Proceedings of the 8th South East Asian Conference on Mathematics Education : Mathematics for the 21st Century, Manila.


Student understanding of decimal number is poor (e.g., Baturo, 1998; Behr, Harel, Post & Lesh, 1992). This paper reports on a study which set out to determine the cognitive complexities inherent in decimal-number numeration and what teaching experiences need to be provided in order to facilitate an understanding of decimal-number numeration. The study gave rise to a theoretical model which incorporated three levels of knowledge. Interview tasks were developed from the model to probe 45 students’ understanding of these levels, and intervention episodes undertaken to help students construct the baseline knowledge of position and order (Level 1 knowledge) and an understanding of multiplicative structure (Level 3 knowledge). This paper describes the two interventions and reports on the results which suggest that helping students construct appropriate mental models is an efficient and effective teaching strategy.

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ID Code: 31387
Item Type: Conference Paper
Refereed: Yes
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > NUMERICAL AND COMPUTATIONAL MATHEMATICS (010300) > Numerical Solution of Differential and Integral Equations (010302)
Divisions: Current > Schools > School of Teacher Education & Leadership
Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 1999 [please consult the author]
Deposited On: 18 Mar 2010 21:26
Last Modified: 25 Mar 2013 08:10

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