Book 9 of the Geometric Series

Geometric Education

Learning, Assessment, and the Topology of Understanding

A volume in the Geometric Series by Andrew H. Bond.

Contents

  1. Chapter 1: The GPA Trap
  2. Chapter 2: The Testing Industrial Complex
  3. Chapter 3: From Socratic Dialogue to Scantron --- A Brief History of Scalar Education
  4. Chapter 4: The Learner Manifold
  5. Chapter 5: Assessment as Contraction --- The GPA Irrecoverability Theorem
  6. Chapter 6: Teaching as Geodesic Guidance
  7. Chapter 7: Curriculum as Pathfinding
  8. Chapter 8: Grading as Moral Injury
  9. Chapter 9: The Gauge Invariance of Understanding
  10. Chapter 10: Personalized Learning as Metric Adaptation
  11. Chapter 11: Transfer Learning as Parallel Transport
  12. Chapter 12: AI in Education --- The No Escape Theorem for Educational AI
  13. Appendix A: Mathematical Prerequisites
  14. Appendix B: The Learner Manifold --- Code Walkthrough
  15. Appendix C: Assessment Gauge Invariance Test Battery
  16. Appendix D: Notation and Conventions
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