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|Title:||Rates of Change and an Iterative Conception of Quadratics||Contributor(s):||Afamasaga-Fuata'i, K (author)||Publication Date:||2005||Handle Link:||https://hdl.handle.net/1959.11/354||Abstract:||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.||Publication Type:||Conference Publication||Conference Name:||MERGA 28: 28th Annual Conference of the Mathematics Education Research Group of Australasia, Melbourne, Australia, 7th - 9th July, 2005||Conference Details:||MERGA 28: 28th Annual Conference of the Mathematics Education Research Group of Australasia, Melbourne, Australia, 7th - 9th July, 2005||Source of Publication:||Building Connections: Theory, Research and Practice. Proceedings of the 28th Annual Conference of the Mathematics Education Research Group of Australasia, p. 65-72||Publisher:||MERGA: Mathematics Education Research Group of Australasia Inc||Place of Publication:||Sydney, Australia||Field of Research (FOR):||130303 Education Assessment and Evaluation||Peer Reviewed:||Yes||HERDC Category Description:||E1 Refereed Scholarly Conference Publication||Other Links:||http://www.merga.net.au/documents/RP12005.pdf||Statistics to Oct 2018:||Visitors: 182
|Appears in Collections:||Conference Publication|
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