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The Liberal Arts Tradition

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  1. Introduction
    Lesson 1: Introduction to the Liberal Arts Tradition (Preview Content)
    3 Topics
    |
    1 Quiz
  2. Lessons
    Lesson 2: Intro to the Paradigm for the Liberal Arts Tradition (Preview Content)
    3 Topics
    |
    1 Quiz
  3. Lesson 3: Introduction to the PGMAPT Paradigm
    4 Topics
    |
    1 Quiz
  4. Lesson 4: Piety
    5 Topics
    |
    1 Quiz
  5. Lesson 5: Gymnastic and Music
    4 Topics
    |
    1 Quiz
  6. Lesson 6: Music and Musical Education
    3 Topics
    |
    1 Quiz
  7. Lesson 7: The Trivium and Grammar
    3 Topics
    |
    1 Quiz
  8. Lesson 8: Dialectic (or Logic)
    3 Topics
    |
    1 Quiz
  9. Lesson 9: Rhetoric
    3 Topics
    |
    1 Quiz
  10. Lesson 10: Quadrivium
    3 Topics
    |
    1 Quiz
  11. Lesson 11: Arithmetic and Geometry
    3 Topics
    |
    1 Quiz
  12. Lesson 12: Astronomy and Music
    4 Topics
    |
    1 Quiz
  13. Lesson 13: Philosophy and Natural Philosophy
    3 Topics
    |
    1 Quiz
  14. Lesson 14: Moral Philosophy
    3 Topics
    |
    1 Quiz
  15. Lesson 15: Metaphysics
    3 Topics
    |
    1 Quiz
  16. Lesson 16: Theology
    3 Topics
    |
    1 Quiz
  17. Lesson 17: Culture, Calling, and Curriculum
    4 Topics
  18. End of Course Test
    End of Course Test
    1 Quiz
  19. Supplement
    Supplement: Revised Edition Overview with Dr. Kevin Clark
Lesson 11, Topic 3
In Progress

Discussion Questions

Lesson Progress
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  • Use an example to share the meaning of the discrete and the continuous synthesis?
  • What opportunities for play are found in the synthesis if the discrete and continuous? Why are puzzle and play important parts of mathematical pedagogy?
  • How does the Trivium art of Dialectic connect to the Quadrivium art of Geometry?
  • How does it impact mathematical pedagogy to look alongside teachers such as Plato, Pythagoras, Galileo, and Kepler? How is this different from looking at their results and conclusions?