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Mathematical Reasoning for Elementary Teachers
Millman's Mathematical Reasoning for Elementary Teachers presents the mathematical content needed for teaching within the context of the elementary classroom, giving future teachers the motivation they need while also showing them the bigger picture of when they will use and teach the concepts....
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| Format: | Printed Book |
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Boston, Massachusetts
Pearson
2015
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| Edition: | 7th edition, Global edition |
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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 Mathematics1.3 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 Representations 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 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 Appendices-Online A. Manipulatives in the Mathematics Classroom B. Getting the Most out of Your Calculator C. A Brief Guide to The Geometer's Sketchpad D. Resources