The Learning and Teaching of Calculus (Paperback)

1. What Didactics is and why it is important; 2.What is calculus?; 3. Foundational mathematical understandings and ways of thinking for the calculus (understandings students should have to study calculus); 4. Limits and Approximations; 5. Rate of Change, Accumulation, and the Fundamental Theorem of Calculus; 6.Chain rule and Implicit Differentiation; 7. The Fundamental Theorem of Calculus revisited; 8. Integration and the concept of differential; 9. A Foundation for Advanced Mathematical Topics; 10. Teaching, Learning, and Curriculum