Fractions, reunitisation and the number-line representation

Baturo, Annette R. & Cooper, Thomas J. (1999) Fractions, reunitisation and the number-line representation. In Proceedings of the 23rd Conference of the International Group for the Psychology of Mathematics Education, Haifa.


Centre for Mathematics and Science Education, QUT, Brisbane, Australia This paper reports on a study in which Years 6 and 10 students were individually interviewed to determine their ability to unitise and reunitise number lines used to represent mixed numbers and improper fractions. Only 16.7% of the students (all Year 6) were successful on all three tasks and, in general, Year 6 students outperformed Year 8 students. The interviews revealed that the remaining students had incomplete, fragmented or non-existent structural knowledge of mixed numbers and improper fractions, and were unable to unitise or reunitise number lines. The implication for teaching is that instruction should focus on providing students with a variety of fraction representations in order to develop rich and flexible schema for all fraction types (mixed numbers, and proper and improper fractions).

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ID Code: 31384
Item Type: Conference Paper
Refereed: Yes
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Operator Algebras and Functional Analysis (010108)
Divisions: Current > Schools > School of Teacher Education & Leadership
Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 1999 [please consult the authors]
Deposited On: 18 Mar 2010 21:38
Last Modified: 25 Mar 2013 08:10

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