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Didactics of Mathematics

By LuisSayago31

  • First interpretation of philosophy in history.

    First interpretation of philosophy in history.
    In the first interpretation, history is intelligible in itself. "history is a slow and painful process of improvement" (Kelly 1968, p. 362)

  • Broussea u, G. (1983). Les obstacles epistemologiques et Jes problemes en mathernatiques. Recherches en Didactique des Mat hematiques, 4(2 ), 165-198.

    Broussea u, G. (1983). Les obstacles epistemologiques et Jes problemes en mathernatiques. Recherches en Didactique des Mat hematiques, 4(2 ), 165-198.
    Brousseau (1983, p. 178) stated about the epistemological obstacles "sont ceux auxquels on ne peut, ni ne doit echapper, du fait meme de leur role constitutif dans la connaissance visee"

  • Artigue, M. (1995). The role of epistemology in the analysis of teaching/learning relationships in mathematics education. In Y. M . Pothier (Ed.), Proceedings of the 1995 annual meeting of the Canadian Mathematics Education Study Group.

    Artigue, M. (1995). The role of epistemology in the analysis of teaching/learning relationships in mathematics education. In Y. M . Pothier (Ed.), Proceedings of the 1995 annual meeting of the Canadian Mathematics Education Study Group.
    Artigue wrote in 1990 about the idea of the epistemological obstacle, that it is this notion that would come to an educator's mind if we unexpectedly asked the question of the relevance of epistemology to teach.
    Describes the functions (2) of epistemology that allow reflection on the manner in which objects of knowledge appear in the school and offer means through which to understand the formation of knowledge.

  • Marx, K. (1998). The German ideology, including theses on Feuerbach and introduction to the critique of political economy. New York: Prometheus Books.

    Marx, K. (1998). The German ideology, including theses on Feuerbach and introduction to the critique of political economy. New York: Prometheus Books.
    The second interpretation of philosophy in history, in which theoretical articulation goes back to Marx (1998), history and reason are mutually constitutive. Their relation is dialectical. There is no regulatory, universal reason. The reason is historical and cultural.
    The German Ideology: "The real production of life appears as non-historical, while the historical appears as something separated from ordinary life, something extra-superterrestrial"

  • Hegel, G. (2001). The philosophy of history. Kitchener, ON: Batoche Books. (Original Work Published 1837).

    Hegel, G. (2001). The philosophy of history. Kitchener, ON: Batoche Books. (Original Work Published 1837).
    In the Hegelian perspective of history that Marx prolongs in his philosophical works, it is, indeed, in the socio-cultural practices that we must seek the conditions of possibility of knowledge, its viability and its limits. Reason is unpredictable and history, as such, is not intelligible in itself. It cannot be, because it depends on the reasons (always contextual and often incommensurable between each other) that generate it.