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The influence of attention on mathematical knowledge of teachers and lecturers: a comparison

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Journal Article

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Taylor & Francis

Abstract

This paper reports on some findings from the project ‘Analysing the Transition from Secondary to Tertiary Education in Mathematics’. One of key variables in the school to university transition is the teacher/lecturer, and here we deal with data analysing secondary teachers’ and tertiary lecturers’ responses to four mathematics questions. Elsewhere we consider knowledge, preparedness and teaching style etc, but this paper tracks the ability to use mathematical procedures. We hypothesise that this is a function of what we pay attention to, as described in Mason’s discipline of noticing. The results reveal that many teachers and lecturers fail to notice the necessary conditions for problems that imply that procedures are not always applicable. Possible reasons for this along with implications for student learning are discussed.

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International Journal of Mathematical Education in Science and Technology, vol.42(7), pp.1011 - 1020

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Copyright © 2011 Taylor & Francis. This is a preprint of an article whose final and definitive form has been published in the International Journal of Mathematical Education in Science and Technology and is available online at: www.tandfonline.com with the open URL of your article (see Publisher’s Version).