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Upper secondary students’ task reasoning
Umeå University, Faculty of Teacher Education, Department of Interactive Media and Learning. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. Umeå University, Faculty of Science and Technology, Umeå Mathematics Education Research Centre (UMERC).
2008 (English)In: International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, Vol. 39, no 1Article in journal (Refereed) Published
Abstract [en]

Upper secondary students’ task solving reasoning was analysed, with a focus on grounds for different strategy choices and implementations. The results indicate that mathematically well-founded considerations were rare. The dominating reasoning types were algorithmic reasoning, where students tried to remember a suitable algorithm, sometimes in a random way, and guided reasoning, where progress was possible only when essentially all important strategy choices were made by the interviewer.

Place, publisher, year, edition, pages
2008. Vol. 39, no 1
National Category
Didactics Mathematics
Research subject
didactics of mathematics
Identifiers
URN: urn:nbn:se:umu:diva-6853DOI: 10.1080/00207390701464675OAI: oai:DiVA.org:umu-6853DiVA: diva2:146523
Available from: 2007-12-19 Created: 2007-12-19 Last updated: 2011-03-16Bibliographically approved
In thesis
1. On Aspects of Mathematical Reasoning: Affect and Gender
Open this publication in new window or tab >>On Aspects of Mathematical Reasoning: Affect and Gender
2009 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis explores two aspects of mathematical reasoning: affect and gender. I started by looking at the reasoning of upper secondary students when solving tasks. This work revealed that when not guided by an interviewer, algorithmic reasoning, based on memorising algorithms which may or may not be appropriate for the task, was predominant in the students reasoning. Given this lack of mathematical grounding in students reasoning I looked in a second study at what grounds they had for different strategy choices and conclusions. This qualitative study suggested that beliefs about safety, expectation and motivation were important in the central decisions made during task solving.  But are reasoning and beliefs gendered? The third study explored upper secondary school teachers conceptions about gender and students mathematical reasoning. In this study I found that upper secondary school teachers attributed gender symbols including insecurity, use of standard methods and imitative reasoning to girls and symbols such as multiple strategies especially on the calculator, guessing and chance-taking were assigned to boys. In the fourth and final study I found that students, both male and female, shared their teachers view of rather traditional feminities and masculinities. Remarkably however, this result did not repeat itself when students were asked to reflect on their own behaviour: there were some discrepancies between the traits the students ascribed as gender different and the traits they ascribed to themselves. Taken together the thesis suggests that, contrary to conceptions, girls and boys share many of the same core beliefs about mathematics, but much work is still needed if we should create learning environments that provide better opportunities for students to develop beliefs that guide them towards well-grounded mathematical reasoning. 

Place, publisher, year, edition, pages
Umeå: Print & Media, Umeå University, 2009. 39 p.
Series
Doctoral thesis / Umeå University, Department of Mathematics, ISSN 1102-8300 ; 41
Keyword
affect, beliefs, gender, mathematical reasoning, problem solving, upper secondary school
National Category
Other Mathematics
Research subject
didactics of mathematics
Identifiers
urn:nbn:se:umu:diva-22437 (URN)978-91-7264-791-6 (ISBN)
Public defence
2009-06-01, MA 121, MIT-huset, Umeå universitet, Umeå, 13:15 (English)
Opponent
Supervisors
Available from: 2009-05-11 Created: 2009-05-08 Last updated: 2009-05-11Bibliographically approved

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Bergqvist, TomasLithner, JohanSumpter, Lovisa
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Citation style
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