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The University of Notre Dame Australia

2017

Algebraic reasoning

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Reframing Mathematical Futures Ii Project: Development Of A Draft Learning Progression For Algebraic Reasoning, L Day, M Horne, M Stephens Jan 2017

Reframing Mathematical Futures Ii Project: Development Of A Draft Learning Progression For Algebraic Reasoning, L Day, M Horne, M Stephens

Education Conference Papers

Curriculum documents make a clear distinction between algebraic skills and algebraic reasoning, where the development of the former is far more readily articulated than the latter. While there are many studies of algebraic reasoning, these are usually topic specific and/or highly contextual. What are the big ideas of algebraic reasoning and is it possible to map their learning trajectory? This paper reports on the preliminary phase of a large national study in Australia which is designed to move beyond the hypothetical and to provide an evidence-based foundation for a learning progression. Using rich assessment tasks designed for middle years students …


Developing Learning Progressions To Support Mathematical Reasoning In The Middle Years - Algebraic Reasoning, L Day, M Stephens, M Horne Jan 2017

Developing Learning Progressions To Support Mathematical Reasoning In The Middle Years - Algebraic Reasoning, L Day, M Stephens, M Horne

Education Conference Papers

As part of the Reframing Mathematical Futures II Project on Mathematical Reasoning, algebraic reasoning was identified as one of the three areas to be investigated. This involved developing a hypothetical learning progression for algebra to inform the design of assessment tasks to test the progression. The assessment forms were then sent to trial schools and the data was analysed using Rasch analysis. This paper reports on the analysis of preliminary data received and outlines some implications for teaching.