Geometric Education

Learning, Assessment, and the Topology of Human Development

Andrew H. Bond
Senior Member, IEEE · Department of Computer Science · San Jose State University

Spring 2026 · Book 9 of the Geometric Series

Part I: The Problem (Ch. 1–3)

  1. Chapter 1: The GPA Trap
  2. Chapter 2: The Testing Industrial Complex
  3. Chapter 3: From Socratic Dialogue to Scantron

Part II: The Framework (Ch. 4–9)

  1. Chapter 4: The Learner Manifold
  2. Chapter 5: Assessment as Contraction
  3. Chapter 6: Teaching as Geodesic Guidance
  4. Chapter 7: Curriculum as Pathfinding
  5. Chapter 8: Grading as Moral Injury
  6. Chapter 9: The Gauge Invariance of Understanding

Part III: Applications (Ch. 10–12)

  1. Chapter 10: Personalized Learning as Metric Adaptation
  2. Chapter 11: Transfer Learning as Parallel Transport
  3. Chapter 12: AI in Education

Part IV: Measurement (Ch. 13–16)

  1. Chapter 13: The Educational Bond Index
  2. Chapter 14: Standardized Testing as Gauge Violation
  3. Chapter 15: The Geometry of Educational Opportunity
  4. Chapter 16: Measuring the Learner Manifold

Part V: Synthesis (Ch. 17–18)

  1. Chapter 17: What Education Teaches the General Theory
  2. Chapter 18: Open Questions