Understanding Analysis and Its Connections to Secondary Mathematics Teaching

By Nicholas H. Wasserman

Chapter 1: Teaching Principles.- Chapter 2: Equivalent Real Numbers and Infinite Decimals.- Chapter 3: Sequence Convergence and Irrational Decimal Approximations.- Chapter 4: Algebraic Limit Theorem and Error Accumulation.- Chapter 5: Divergence Description and Criteria and Logic in Communication.- Chapter 6: Continuity and Definitions.- Chapter 7: Intermediate Value Theorem and Implicit Assumptions.- Chapter 8: Continuity, Monotonicity, Inverse Functions and Solving Equations.- Chapter 9: Differentiability and the Secant Slope Function.- Chapter 10: Differentiation Rules and Attending to Scope.- Chapter 11: Taylor's Theorem and Modeling Complex with Simple.- Chapter 12: The Riemann Integral and Area-Preserving Transformations.- Chapter 13: The Fundamental Theorem of Calculus and Conceptual Explanation.

• Format: Paperback
• Language: English
• ISBN: 3030891976
• ISBN13: 9783030891978
• Release Date: January 2022
• Publisher: Springer
• Length: 215 Pages
• Weight: 0.74 lbs.
• Dimensions: 0.5" x 6.1" x 9.2"