On the teaching and learning of Dienes’ principles

Sriraman, Bharath & English, Lyn D. (2005) On the teaching and learning of Dienes’ principles. International Reviews on Mathematical Education, 37(3), pp. 258-262.


Zoltan Dienes’ principles of mathematical learninghave been an integral part of mathematics education literatureand applied both to the teaching and learning of mathematics aswell as research on processes such as abstraction andgeneralization of mathematical structures. Most extanttextbooks of cognitive learning theories in mathematicseducation include a treatment of Dienes’ seminal contributions.Yet, there are no available studies at the tertiary level on howstudents internalise the meaning of Dienes’ principles. Thispaper explores post-graduate mathematics education student’sunderstanding of Dienes’ principles and their ability toreflexively apply the principles to their own thinking onstructurally similar problems. Some implications are offered foruniversity educators engaged in the training of futureresearchers in the field.

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ID Code: 1745
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: teaching and learning principles, Zoltan Dienes, mathematical abstraction and generalisation, postgraduate mathematics education, cognitive learning theories
ISSN: 1615-679X
Subjects: Australian and New Zealand Standard Research Classification > EDUCATION (130000) > CURRICULUM AND PEDAGOGY (130200) > Mathematics and Numeracy Curriculum and Pedagogy (130208)
Divisions: Current > QUT Faculties and Divisions > Faculty of Education
Copyright Owner: Copyright 2005 Fiz-Karlsruhe
Copyright Statement: The contents of this journal can be freely accessed online via the journal’s web page (see link).
Deposited On: 30 Jun 2005 00:00
Last Modified: 10 Aug 2011 17:35

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