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Evolution of Didactics of Mathematics

  • Period: 500 BCE to 338

    Ancient Times (Greek Civilization)

    Philosophical Foundations: Early Greek philosophers such as Plato and Aristotle pondered the nature of mathematical knowledge, laying the groundwork for epistemological inquiry.
  • Period: to

    Scientific Revolution (17th-18th Century)

    Formalization of Mathematical Knowledge: The era saw mathematics as a discipline, with figures like Descartes and Newton establishing foundational concepts and methods.
    Epistemology of Mathematics: The focus was on the certainty and objectivity of mathematical knowledge.
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    Emergence of Pedagogical Methods (19th Century)

    Didactic Movements: The 19th century introduced specific didactic approaches, such as Pestalozzi’s emphasis on intuitive learning and concrete examples in mathematics teaching.
    Epistemological Shifts: This period also saw debates on the role of intuition versus formal proof in mathematics education
  • Period: to

    Formal Didactics of Mathematics (20th Century)

    Birth of Didactics as a Scientific Field: It began to emerge as a distinct field, with a focus on the study of teaching methods and learning processes in mathematics.
    Influence of Psychology: Cognitive psychology influenced didactic theories, particularly in understanding how students learn mathematical concepts.
    Brousseau's Theory of Didactic Situations: Introduced in the late 20th century, it emphasized the interaction between students, teachers, and mathematical content.
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    Modern Didactics (Late 20th to Early 21st Century)

    Complex Systems Approach: Modern didactics began to view mathematics education as a complex system involving various interacting components.
    Integration of Technology: The integration of digital tools and technology in mathematics teaching became a significant focus.
    Epistemological Pluralism: Acknowledgment of multiple ways of knowing in mathematics, reflecting diverse cultural and contextual perspectives in teaching.