The Construction of Proportional Reasoning

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Author(s)
J. Norton, Stephen
Griffith University Author(s)
Year published
2005
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The development of proportional reasoning has long been recognised as a central but problematic aspect of mathematics learning. In a Year 6 teaching intervention the part/whole notion of fractions was distinguished from the part:part notion of ratio, and the "between" and "within" relationships in ratio were emphasised. Numerous representations of fractions and ratio including LEGO construction activities were used to develop the multiplicative thinking associated with these concepts. The prepost results indicated this integrated approach helped students to apply proportional reasoning and to enumerate their responses.The development of proportional reasoning has long been recognised as a central but problematic aspect of mathematics learning. In a Year 6 teaching intervention the part/whole notion of fractions was distinguished from the part:part notion of ratio, and the "between" and "within" relationships in ratio were emphasised. Numerous representations of fractions and ratio including LEGO construction activities were used to develop the multiplicative thinking associated with these concepts. The prepost results indicated this integrated approach helped students to apply proportional reasoning and to enumerate their responses.
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Conference Title
Proceedings of the 29th Annual Conference of the International Group for the Psychology of Mathematics Education
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© The Author(s) 2005. The attached file is reproduced here in accordance with the copyright policy of the publisher. For information about this conference please refer to the conference’s website or contact the author(s).