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Understanding Analysis and its Connections to Secondary Mathematics Teaching

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Cover of 'Understanding Analysis and its Connections to Secondary Mathematics Teaching'

Table of Contents

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    Book Overview
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    Chapter 1 Six Teaching Principles
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    Chapter 2 Equivalent Real Numbers and Infinite Decimals
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    Chapter 3 Sequence Convergence and Irrational Decimal Approximations
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    Chapter 4 Algebraic Limit Theorems and Error Accumulation
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    Chapter 5 Divergence Criteria and Logic in Communication
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    Chapter 6 Continuity and Definitions
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    Chapter 7 The Intermediate Value Theorem and Implicit Assumptions
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    Chapter 8 Continuity, Strict Monotonicity, Inverse Functions and Solving Equations
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    Chapter 9 Differentiability and the Secant Slope Function
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    Chapter 10 Differentiation Rules and Attention to Scope
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    Chapter 11 Taylor Polynomials and Modeling the Complex with the Simple
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    Chapter 12 The Riemann Integral and Area-Preserving Transformations
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    Chapter 13 The Fundamental Theorem of Calculus and Conceptual Explanation
Attention for Chapter 11: Taylor Polynomials and Modeling the Complex with the Simple
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Chapter title
Taylor Polynomials and Modeling the Complex with the Simple
Chapter number 11
Book title
Understanding Analysis and its Connections to Secondary Mathematics Teaching
Published by
Springer, Cham, September 2021
DOI 10.1007/978-3-030-89198-5_11
Book ISBNs
978-3-03-089197-8, 978-3-03-089198-5
Authors

Wasserman, Nicholas H., Fukawa-Connelly, Timothy, Weber, Keith, Mejia-Ramos, Juan Pablo, Abbott, Stephen, Pablo Mejia-Ramos, Juan

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