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Selected Works of Dr Catherine Pearn
Presentation
Generalising Fraction Structures as a Means for Engaging in Algebraic Thinking.
Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia (2017)
  • Catherine Pearn, The University of Melbourne
  • Max Stephens, The University of Melbourne
Link
Abstract
In this paper, we report on how Year 5 and 6 students (10 to 13 years old) solve reverse fraction problems; that is, where students are required to find the quantity of an unknown whole given a known partial quantity and its equivalent fraction of the unknown whole. To what extent do students' solutions generalise fraction structures that indicate algebraic thinking? Which solution strategies to reverse fraction problems seem to promote generalisation and which appear to hold students back?
Keywords
  • Fractions,
  • Algebra,
  • Thinking Skills,
  • Mathematics Instruction,
  • Mathematical Logic,
  • Problem Solving,
  • Primary school mathematics
Disciplines
Publication Date
January 1, 2017
Location
Monash University in Clayton, Melbourne
Citation Information
Catherine Pearn and Max Stephens. "Generalising Fraction Structures as a Means for Engaging in Algebraic Thinking." Proceedings of the 40th Annual Conference of the Mathematics Education Research Group of Australasia (2017)
Available at: http://works.bepress.com/catherine_pearn/35/