Developing fractional and algebraic thinking in middle years

Summary

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. This session will show teachers how to use appropriate tasks to identify the kind of strategies being used and how the frameworks can be used to progress students’ mathematical thinking.

Presenters
Catherine Pearn
Max Stephens

Session Code Session Date Session Start Session Finish Session Location Places Remaining
B-17 05/12/2019 11:00 am 12:00 pm La Trobe University Bundoora
25

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