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For courses in mathematics for elementary teachers.
The Gold Standard for the New Standards
A Problem Solving Approach to Mathematics for Elementary School Teachers has always reflected the content and processes set forth in today’s new state mathematics standards and the Common Core State Standards (CCSS). In the Twelfth Edition, the authors have further tightened the connections to the CCSS and made them more explicit. This text not only helps students learn the math by promoting active learning and developing skills and concepts—it also provides an invaluable reference to future teachers by including professional development features and discussions of today’s standards.
Also available with MyMathLab
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Table of Contents:
1. An Introduction to Problem Solving
1-1 Mathematics and Problem Solving
1-2 Explorations with Patterns and Algebraic Thinking
2. Introduction to Logic and Sets
2-1 Reasoning and Logic: An Introduction
2-2 Describing Sets
2-3 Other Set Operations and Their Properties
3. Numeration Systems and Whole Number Operations
3-1 Numeration Systems
3-2 Addition and Subtraction of Whole Numbers
3-3 Multiplication and Division of Whole Numbers
3-4 Addition and Subtraction Algorithms, Mental Computation, and Estimation
3-5 Multiplication and Division Algorithms, Mental Computation, and Estimation
4. Number Theory
4-1 Divisibility
4-2 Prime and Composite Numbers
4-3 Greatest Common Divisor and Least Common Multiple
5. Integers
5-1 Addition and Subtraction of Integers
5-2 Multiplication and Division of Integers
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
7. Rational Numbers as Decimals and Percents
7-1 Introduction to Finite Decimals
7-2 Operations on Decimals
7-3 Repeating Decimals
7-4 Percents and Interest
8. Real Numbers and Algebraic Thinking
8-1 Real Numbers
8-2 Variables
8-3 Equations
8-4 Functions
8-5 Equations in a Cartesian Coordinate System
9. Probability
9-1 Determining Probabilities
9-2 Multistage Experiments and Modeling Games
9-3 Simulations and Applications in Probability
9-4 Permutations and Combinations in Probability
10. Data Analysis/Statistics: An Introduction
10-1 Designing Experiments/Collecting Data
10-2 Displaying Data: Part I
10-3 Displaying Data: Part II
10-4 Measures of Central Tendency and Variation
10-5 Abuses of Statistics
11. Introductory Geometry
11-1 Basic Notions
11-2 Curves, Polygons, and Symmetry
11-3 More About Angles
11-4 Geometry in Three Dimensions
12. Congruence and Similarity with Constructions
12-1 Congruence Through Constructions
12-2 Additional Congruence Theorems
12-3 Additional Constructions
12-4 Similar Triangles and Other Similar Figures
13. Congruence and Similarity with Transformations
13-1 Translations and Rotations
13-2 Reflections and Glide Reflections
13-3 Dilations
13-4 Tessellations of the Plane
14. Area, Pythagorean Theorem, and Volume
14-1 Linear Measure
14-2 Areas of Polygons and Circles
14-3 The Pythagorean Theorem, Distance Formula, and Equation of a Circle
14-4 Surface Areas
14-5 Volume, Mass, and Temperature