Mathematical Reasoning for Elementary Teachers (Subscription), 7th Edition

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Category : Higher Education

Table of Contents

1. Thinking Critically

1.1  An Introduction to Problem Solving

1.2  Polya’s Problem-Solving Principles and the Standards for Mathematical Practice of the Common Core State Standards for Mathematics

1.3  More Problem-Solving Strategies

1.4  Algebra as a Problem-Solving Strategy

1.5  Additional Problem-Solving Strategies

1.6  Reasoning Mathematically

 

2. Sets and Whole Numbers

2.1 Sets and Operations on Sets

2.2 Sets, Counting, and the Whole Numbers

2.3 Addition and Subtraction of Whole Numbers

2.4 Multiplication and Division of Whole Numbers

 

3. Numeration and Computation

3.1 Numeration Systems Past and Present

3.2 Algorithms for Addition and Subtraction of Whole Numbers

3.3 Algorithms for Multiplication and Division of Whole Numbers

3.4 Mental Arithmetic and Estimation

3.5 Nondecimal Positional Systems

 

4. Number Theory

4.1 Divisibility of Natural Numbers

4.2 Tests for Divisibility

4.3 Greatest Common Divisors and Least Common Multiples

 

5. Integers

5.1 Representation of Integers

5.2 Addition and Subtraction of Integers

5.3 Multiplication and Division of Integers

 

6. Fractions and Rational Numbers

6.1 The Basic Concepts of Fractions and Rational Numbers

6.2 Addition and Subtraction of Fractions

6.3 Multiplication and Division of Fractions

6.4 The Rational Number System

 

7. Decimals, Real Numbers, and Proportional Reasoning

7.1 Decimals and Real Numbers

7.2 Computations with Decimals

7.3 Proportional Reasoning

7.4 Percent

 

8. Algebraic Reasoning, Graphing, and Connections with Geometry

8.1 Variables, Algebraic Expressions, and Functions

8.2 Graphing Points, Lines, and Elementary Functions

8.3 Connections between Algebra and Geometry

 

9. Geometric Figures

9.1 Figures in the Plane

9.2 Curves and Polygons in the Plane

9.3 Figures in Space

 

10. Measurement: Length, Area, and Volume

10.1 The Measurement Process

10.2 Area and Perimeter

10.3 The Pythagorean Theorem

10.4 Volume

10.5 Surface Area

 

11. Transformations, Symmetries, and Tilings

11.1 Rigid Motions and Similarity Transformations

11.2 Patterns and Symmetries

11.3 Tilings and Escher-like Designs

 

12. Congruence, Constructions, and Similarity

12.1 Congruent Triangles

12.2 Constructing Geometric Figures

12.3 Similar Triangles

 

13. Statistics: The Interpretation of Data

13.1 Organizing and Representing Data

13.2 Measuring the Center and Variation of Data

13.3 Statistical Inference

 

14. Probability

14.1 The Basics of Probability

14.2 Applications of Counting Principles to Probability

14.3 Permutations and Combinations

14.4 Odds, Expected Values, Geometric Probability, and Simulations

 

Instalant Download Mathematical Reasoning for Elementary Teachers (Subscription), 7th Edition by Calvin Long Calvin T. Long, Washington State University Duane DeTemple Duane W. DeTemple, Washington State University Richard Millman Richard S. Millman, Georgia Institute of Technology ZIP OR PDF

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