Proportional reasoning: a case study highlighting its significance in mathematics curriculum

Paper


Green, John M.. 2008. "Proportional reasoning: a case study highlighting its significance in mathematics curriculum." Fisher, Darrell, Koul, Rekha and Wanpen, Supatra (ed.) 5th International Conference on Science, Mathematics and Technology Education 2008: Science Mathematics and Technology Education: Beyond Cultural Boundaries. Udon Thani, Thailand 16 - 19 Jan 2008 Perth, Australia.
Paper/Presentation Title

Proportional reasoning: a case study highlighting its significance in mathematics curriculum

Presentation TypePaper
Authors
AuthorGreen, John M.
EditorsFisher, Darrell, Koul, Rekha and Wanpen, Supatra
Journal or Proceedings TitleProceedings of the 5th International Conference on Science, Mathematics and Technology Education 2008
Number of Pages10
Year2008
Place of PublicationPerth, Australia
ISBN1740675886
Conference/Event5th International Conference on Science, Mathematics and Technology Education 2008: Science Mathematics and Technology Education: Beyond Cultural Boundaries
Event Details
5th International Conference on Science, Mathematics and Technology Education 2008: Science Mathematics and Technology Education: Beyond Cultural Boundaries
Event Date
16 to end of 19 Jan 2008
Event Location
Udon Thani, Thailand
Abstract

This paper outlines a study that was undertaken with a typical thirteen year old boy. This boy was experiencing
difficulty with his work on percentages, basic trigonometry and simple equation solving. Our intervention with
the boy led us to suspect that there was a connection between his understanding (or lack thereof) of these
concepts and his capacity to think and reason proportionally. As part of our investigation we explored several questions including 'How necessary is it that a child be able to think and reason proportionally?' and 'How
important is this skill for the successful understanding of other mathematical concepts?' The paper documents our experiences, describing the many strategies that we used to help this boy improve his capacity to think and reason proportionally. It reports his progress over a period of several weeks, and analyses his learning and his attitude/s to what he was learning. Most importantly this study serves to highlight the important interrelationship between proportional reasoning and other math topics such as trigonometry, percentages and equation solving.

Keywordsmathematical concepts; problem solving
ANZSRC Field of Research 2020520102. Educational psychology
499999. Other mathematical sciences not elsewhere classified
390109. Mathematics and numeracy curriculum and pedagogy
Public Notes

Copyright 2008 by the authors. No part of these proceedings
may be reproduced by any means without permission.

Byline AffiliationsFaculty of Education
Institution of OriginUniversity of Southern Queensland
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