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Presentation
Monitoring and Prompting Emergent Algebraic Reasoning in the Middle Years: Using Reverse Fraction Tasks
Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA) (2019)
  • Catherine Pearn, The University of Melbourne
  • Max Stephens, University of Melbourne
  • Robyn Pierce, The University of Melbourne
Abstract
To succeed in mathematics middle-years' students must move from additive to multiplicative thinking and from arithmetic calculations to generalised algebraic strategies. If we ask the right questions this progression can be monitored and prompted through fraction tasks. Students' solution strategies for fraction tasks vary from a dependence on diagrams, to methods that demonstrate algebraic reasoning. Based on testing and interviews two frameworks have been developed. The first is used to classify strategies students use to find an unknown whole, when given a known fractional part of the whole, and its equivalent quantity. The second framework monitors the extent to which algebraic reasoning is apparent when opportunities for generalised responses are prompted.
Keywords
  • Progress Monitoring,
  • Prompting,
  • Algebra,
  • Middle School Students,
  • Fractions,
  • Problem Solving,
  • Screening Tests,
  • Questionnaires,
  • Scores,
  • Thinking Skills,
  • Middle School Mathematics
Publication Date
June 30, 2019
Location
Perth, Western Australia
Citation Information
earn, C., Stephens, M., & Pierce, R. (2019). Monitoring and prompting emergent algebraic reasoning in the middle years: Using reverse fraction tasks. Mathematics Education Research: Impacting Practice, 564–571. https://merga.net.au/common/Uploaded%20files/Annual%20Conference%20Proceedings/2019%20Annual%20Conference%20Proceedings/RP_Pearn_Stephens_Pierce.pdf