A Problem Solving Approach to Mathematics for Elementary and Middle School Teachers, 14th edition

Rick Billstein
, Barbara Boschmans
, Shlomo Libeskind
, Johnny Lott
, Brian Beaudrie

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A Problem Solving Approach to Mathematics for Elementary and Middle School Teachers is designed to help you become an outstanding elementary or middle school math teacher. Using a concept-rich, skill-based approach, it will not only help you learn the math but will serve as a useful future reference for professional development and standards. 

The 14th Edition has been revised to prepare you more effectively for your own classroom. Material is reorganized throughout to better reflect the topics that you will likely be teaching. Expanded and updated content is informed by recent Standards for Mathematical practice. A new “Illustrative Mathematics K-8 Student Tasks” feature helps to show you math tasks that real elementary and middle school students may be asked to do. Chapter-opening problems are revised throughout for enhanced relevance and student interest; exercise sets are updated and reorganized in every chapter; and much more.

ISBN-13: 9780138243227

Subject: Math for Future Teachers

Category:

1. Problem Solving

1-1 Mathematics and Problem Solving
1-2 Explorations with Patterns
Chapter 1 Review

2. Introduction to Logic and Sets

2-1 Reasoning and Logic: An Introduction
2-2 Describing Sets 2-3 Other Set Operations
Chapter 2 Review

3. Numeration Systems and Whole Number Operations

3-1 Numeration Systems
3-2 Addition of Whole Numbers
3-3 Subtraction of Whole Numbers
3-4 Multiplication of Whole Numbers
3-5 Division of Whole Numbers
Chapter 3 Review

4. Number Theory

4-1 Divisibility
4-2 Prime and Composite Numbers
4-3 Greatest Common Divisor and Least Common Multiple
Chapter 4 Review

5. Integers

5-1 Addition and Subtraction of Integers
5-2 Multiplication and Division of Integers
Chapter 5 Review

6. Rational Numbers and Proportional Reasoning

6-1 The Set of Rational Numbers
6-2 Addition, Subtraction, and Estimation with Rational Numbers
6-3 Multiplication, Division, and Estimation with Rational Numbers
6-4 Proportional Reasoning
Chapter 6 Review

7. Decimals, Percents, and Real Numbers

7-1 Terminating Decimals
7-2 Operations on Decimals
7-3 Repeating Decimals
7-4 Percents
7-5 Real Numbers
Chapter 7 Review

8. Algebraic Thinking

8-1 Expressions and Equations
8-2 Solving Equations and Inequalities with One Variable
8-3 Functions and Graphing Equations
8-4 Solving Systems of Equations and Inequalities with Two Variables
Chapter 8 Review

9. Introductory Geometry

9-1 Basic Notions
9-2 Curves, Polygons, and Symmetry
9-3 More About Angles
9-4 Geometry in Three Dimensions
Chapter 11 Review

10. Congruence and Similarity

10-1 Congruency Through Constructions
10-2 Additional Congruence Theorems
10-3 Additional Constructions
10-4 Similarity
Chapter 10 Review

11. Measurement

11-1 Linear Measure
11-2 Concept of Area and the Pythagorean Theorem
11-3 Areas of Polygons and Circles
11-4 Surface Areas
11-5 Volume and Mass
Chapter 11 Review
Technology Modules

12. Transformations

12-1 Translations, Rotations, and Tessellations
12-2 Reflections and Glide Reflections
12-3 Dilations 935
Chapter 12 Review

13. Data Science and Statistics

13-1 The Statistical Problem-Solving Process
13-2 Visualizing Univariate Data
13-3 Visualizing Bivariate Data
13-4 Measures of Central Tendency and Variation
Chapter 13 Review

14. Probability

14-1 Determining Probabilities
14-2 Multistage Experiments and Modeling Games
14-3 Simulations and Applications in Probability
14-4 Permutations and Combinations in Probability
Chapter 14 Review

Modules (online)

Module A: Clock and Modular Arithmetic
Module B: Using Real Numbers in Equations
Module C: Networks
Module D: Trigonometry Ratios via Similarity
Module E: Spreadsheets
Module F: Graphing Calculators
Module G: GeoGebra