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Titlebook: Understanding Analysis and its Connections to Secondary Mathematics Teaching; Nicholas H. Wasserman,Timothy Fukawa-Connelly,Step Textbook

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Differentiability and the Secant Slope Function,York, NY: Springer (2015)) Section 5.2. It explores the formal definition of the derivative as a limit involving what we refer to as .. In the context of teaching, we draw a sharp distinction between justifications that substantiate from those that conceptually explain.
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Taylor Polynomials and Modeling the Complex with the Simple,ynomials, to illustrate a principle we call “modeling the complex with the simple.” This principle relates to real analysis (what we discuss in this chapter is from Abbott’s (Understanding analysis (2nd ed.). New York, NY: Springer (2015)) Chapter 6) as well as teaching secondary school mathematics.
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Equivalent Real Numbers and Infinite Decimals,., and ., the Axiom of Completeness, an introduction to ‘.’ in analysis, etc. Specifically, content similar to Abbott’s (Understanding analysis, 2nd edn. Springer, New York, NY, 2015) Chapter 1. It considers implications for the teaching of rational and real numbers in school mathematics.
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