Springer Texts in Education - Understanding Analysis and its Connections to Secondary Mathematics Teaching
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9783030891978, 9783030891985
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Differentiation Rules and Attention to Scope

2021 ◽  
pp. 143-158
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott

The Fundamental Theorem of Calculus and Conceptual Explanation

2021 ◽  
pp. 191-204
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott
Keyword(s):  
Fundamental Theorem ◽  
Fundamental Theorem Of Calculus ◽  
Conceptual Explanation

Equivalent Real Numbers and Infinite Decimals

2021 ◽  
pp. 9-24
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott
Keyword(s):  
Real Numbers

Taylor Polynomials and Modeling the Complex with the Simple

2021 ◽  
pp. 159-175
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott
Keyword(s):  
Taylor Polynomials

Differentiability and the Secant Slope Function

2021 ◽  
pp. 127-142
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott
Keyword(s):  
Slope Function

The Riemann Integral and Area-Preserving Transformations

2021 ◽  
pp. 177-190
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott
Keyword(s):  
Riemann Integral ◽  
Area Preserving

Continuity, Strict Monotonicity, Inverse Functions and Solving Equations

2021 ◽  
pp. 111-126
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott
Keyword(s):  
Strict Monotonicity ◽  
Solving Equations ◽  
Inverse Functions

Divergence Criteria and Logic in Communication

2021 ◽  
pp. 55-71
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott

Sequence Convergence and Irrational Decimal Approximations

2021 ◽  
pp. 25-40
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott

Continuity and Definitions

2021 ◽  
pp. 73-91
Author(s):  
Nicholas H. Wasserman ◽  
Timothy Fukawa-Connelly ◽  
Keith Weber ◽  
Juan Pablo Mejia-Ramos ◽  
Stephen Abbott
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