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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
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