A Problem Solving Approach to Mathematics for Elementary School Teachers

More than 350,000 students have prepared for teaching mathematics with A Problem Solving Approach to Mathematics for Elementary School Teachers since its first edition, and it remains the gold standard today. This text not only helps students learn the material 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. The Eleventh Edition is streamlined to keep students focused on what is most important. The Common Core State Standards (CCSS) have been integrated into the book to keep current with educational developments. The Annotated Instructor's Edition offers new Integrating Mathematics and Pedagogy (IMAP) video annotations, in addition to activity manual and e-manipulative CD annotations, to make it easier to incorporate active learning into your course. MyMathLab(R) is available to offer auto-graded exercises, course management, and classroom resources for future teachers. To see available supplements that will enliven your course with activities, classroom videos, and professional development for future teachers, visit www.pearsonhighered. com/teachingmath1. An Introduction to Problem Solving 1-1 Mathematics and Problem Solving 1-2 Explorations with Patterns 1-3 Reasoning and Logic: An Introduction 2. Numeration Systems and Sets 2-1 Numeration Systems 2-2 Describing Sets 2-3 Other Set Operations and Their Properties 3. Whole Numbers and Their Operations 3-1 Addition and Subtraction of Whole Numbers 3-2 Algorithms for Whole-Number Addition and Subtraction 3-3 Multiplication and Division of Whole Numbers 3-4 Algorithms for Whole-Number Multiplication and Division 3-5 Mental Mathematics and Estimation for Whole-Number Operations 4. Number Theory 4-1 Divisibility 4-2 Prime and Composite Numbers 4-3 Greatest Common Divisor and Least Common Multiple Online Module: Clock & Modular Arithmetic 5. Integers 5-1 Integers and the Operations of Addition and Subtraction 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 and Division of Rational Numbers 6-4 Ratios, Proportions, and Proportional Reasoning 7. Decimals: Rational Numbers and Percent 7-1 Introduction to Decimals 7-2 Operations on Decimals 7-3 Nonterminating 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 Online Module: Using Real Numbers in Equations 9. Probability 9-1 How Probabilities Are Determined 9-2 Multistage Experiments with Tree Diagrams and Geometric Probabilities 9-3 Using Simulations in Probability 9-4 Odds, Conditional Probability, and Expected Value 9-5 Using 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 Linear Measure 11-3 Curves, Polygons, and Symmetry 11-4 More About Angles Online Module: Networks 12. Congruence and Similarity with Constructions 12-1 Congruence through Constructions 12-2 Other Congruence Properties 12-3 Other Constructions 12-4 Similar Triangles and Similar Figures Online Module: Trigonometry Ratios via Similarity 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 Online Appendices Spreadsheets Graphing calculators Geometer's Sketchpad GeoGebra