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  • 1.
    Wedman, Lotta
    Dalarna University, School of Education, Health and Social Studies, Mathematics Education.
    A concept analysis of the notion concept: Contributions of an analysing tool2018In: Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (Vol. 4) / [ed] E. Bergqvist, M. Österholm, C. Granberg, & L. Sumpter, Umeå, Sweden, 2018, p. 411-418Conference paper (Refereed)
    Abstract [en]

    The word ‘concept’ is used with several meanings in mathematics education. In order to obtain a coherent theoretical framework, a concept analysis of the notion concept is performed for some current frameworks in the field. The taken approach includes creating a tool for analysing views on concept, based on a literature review in philosophy. This tool uses three distinctions of views on concept: mental versus abstract, subjective versus intersubjective, and molecular versus holistic. Examples from texts in mathematics education are given, where the three distinctions are present. Further, the taken approach offers a perspective on concept that simplifies comparisons between frameworks.

  • 2.
    Wedman, Lotta
    Dalarna University, School of Education, Health and Social Studies, Mathematics Education.
    Views on concept in the framework of Three worlds of mathematics: A concept analysis2018In: Perspectives on professional development of mathematics teachers: Proceedings of MADIF 11 / [ed] J. Häggström, Y. Liljekvist, J. Bergman Ärlebäck, M. Fahlgren & O. Olande, Göteborg, Sweden, 2018, p. 121-130Conference paper (Refereed)
    Abstract [en]

    There are examples of conceptual incoherencies within the field of mathematics education. In this paper, a concept analysis of the notion concept in Tall’s framework of Three worlds of mathematics is conducted. In the first phase of the study, an analysing tool is constructed from a literature review in philosophy and cognitive science. This tool makes two distinctions. One distinction is between views considering concepts as abstract and views considering concepts as mental. The other distinction is between views considering concepts as intersubjective and views considering concepts as subjective. Preliminary results show that different views on concept are mixed in the framework of Three worlds of mathematics.

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