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didactics of Mathematics

By Juan David Yossa
  • 3000 BCE

    Egipto and Babilonia (3000 a.C. - 500 a.C.):

    Egipto and Babilonia (3000 a.C. - 500 a.C.):
    The ancient Egyptians used mathematics for agriculture, construction and accounting. They developed a numerical system based on hieroglyphs and fractions.
    The Babylonians developed a sexagesimal system (base 60) and advanced arithmetic and geometry. Documents such as Plimpton 322 show advanced knowledge in trigonometry.
    Classical Greece (500 BC - 300 BC):
    His work Elements is one of the most influential in the history of mathematics, establishing an axiomatic framework for geometry.
  • Period: 400 to 1400

    Middle Ages (5th century - 15th century)

    Al-Khwarizmi (circa 825 AD): His work on algebra and algorithms is fundamental. The term "algebra" comes from his work Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala.
    Omar Khayyam: Contributed to the development of geometry and the calculation of cubic equations.
    European Renaissance (15th century - 16th century):
    Development of Calculus: The works of mathematicians such as Johannes Kepler and René Descartes advanced analytical geometry and mathematical notation.
  • Period: to

    17th century - 19th century

    Mathematical Methods and Teaching
    Isaac Newton and Gottfried Wilhelm Leibniz: Independently developed differential and integral calculus in the 17th century.
    Leonhard Euler: Contributed significantly to the development of mathematical analysis and graph theory in the 18th century.
    Educational Reforms in the 19th Century:
    Systematic Methods: Mathematics teaching becomes more formalized and systematic with the establishment of educational standards and more structured curricula.

  • 20th century

    20th century
    Modern Mathematics Movement (1950s - 1960s): Influenced by mathematicians such as Bourbaki, focuses on abstract structure and mathematical rigor.
    Reform of Mathematics Education in the United States (1980s - 1990s):Highlights deficiencies in mathematics education and calls for reforms to improve curriculum and teaching. Focus on Problem Solving and Critical Thinking
    NCTM Standards (1989): The National Council of Teachers of Mathematics standards emphasize problem solving communication.

  • 21st century

    21st century
    Mathematics teaching in the 21st century has been revolutionized by technology, with tools such as interactive software that facilitates learning. Competency-based education is emphasized, preparing students to apply mathematics to real-world problems. Interdisciplinarity integrates mathematics with other areas, promoting more holistic learning. Additionally, inclusivity and equity are prioritized to ensure that all students have access and support in their mathematics education.