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Rates of Change and an Iterative Conception of Quadratics |
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Editor(s): Philip Clarkson, Ann Downton, Donna Gronn, Marj Horne, Andrea McDonough, Robyn Pierce, Anne Roche |
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Mathematics Education Research Group of Australasia (MERGA) |
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Investigating students' conceptions of covariation patterns between quantities situated within contextual settings engenders enriched, deep understandings of functional relationships. This paper presents data from a case study of a student (Mary) who solved quadratic contextual problems. Mary's schemes, constructed from quadratically related quantities and patterns of additive rates, fostered the development of an iterative, summative conceptualisation of quadratics in contrast to the product view. Findings support the use of contextual problems to motivate students to think reflectively and mathematically. |
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Building Connections: Theory, Research and Practice. Proceedings of the 28th Annual Conference of the Mathematics Education Research Group of Australasia, p. 65-72 |
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