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Mathematical Reasoning for Elementary Teachers - Media Update, 7th edition

  • Calvin T. Long
  • Duane W. DeTemple
  • Richard S. Millman

Published by Pearson (January 4th 2018) - Copyright © 2019

7th edition

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Fosters reasoning skills, deep conceptual understanding, and a positive attitude to aspiring elementary or middle school teachers

Mathematical Reasoning for Elementary Teachers presents the mathematical content needed for teaching within the context of the elementary classroom. The authors endeavor to answer the frequently asked question “Why are we learning this?” by going beyond skill explanations to show how these concepts are implemented in the future classroom, and what types of questions children may ask. The Common Core State Standards for Mathematics are included.

This Media Update for the 7th Edition features:

  • Education Insights video program adapted from teacher education videos, produced with assessment questions, worksheets, and an implementation guide
  • Common Core in Action videos with assessment questions
  • Common Core Assessment Analysis questions
  • GeoGebra animations with assessment questions
  • Assessment questions for lecture videos
  • MindSet material.

Personalize learning with MyLab Math

By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.

0135167469 / 97801351674  Mathematical Reasoning for Elementary Teachers Plus MyLab Math Media Update - Access Card Package, 7/e 

Package consists of:

  • 013475882X / 9780134758824 Mathematical Reasoning for Elementary Teachers - Media Update
  • 013476675X / 9780134766751 MyLab Math with Pearson eText - Access Card - for Mathematical Reasoning for Elementary Teachers - Media Update

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

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