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Full Description
Long/DeTemple/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. The program endeavors to answer the frequently-asked question "Why are we learning this?" by going beyond skill explanations and showing the ways that these concepts are implemented in the future classroom and what types of questions children may ask. Now updated to include the Common Core State Standards for Mathematics, the text imparts mathematical reasoning skills, a deep conceptual understanding, and a positive attitude to those who aspire to be elementary or middle school teachers. ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable.In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. Packages Access codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase. Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content.If you would like to purchase both the physical text and MyMathLab, search for 0321923243 / 9780321923240 Mathematical Reasoning for Elementary Teachers Plus NEW MyMathLab with Pearson eText -- Access Card Package Package consists of: 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321900995 / 9780321900999 Mathematical Reasoning for Elementary Teachers MyMathLab is not a self-paced technology and should only be purchased when required by an instructor.
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
