Mathematical reasoning for elementary teachers

The Fifth Edition of Mathematical Reasoning for Elementary Teachers, with newco-author Richard Millman, focuses on mathematical knowledge needed for teaching--demonstrating why future teachers are learning math content as well as when they will use it in the classroom. One of the most important aspects of teaching is being able to explain why students' methods and ideas are either right or wrong. Imparting this skill to future teachers the emphasis of this fantastic text. INDICE: 1. Thinking Critically 1.1 An Introduction to Problem Solving. 1.2Polya's Problem-Solving Principles. 1.3 More Problem-Solving Strategies. 1.4 Algebra as Problem-Solving Strategy 1.5 Additional Problem-Solving Strategies 1.6 Reasoning Mathematically 2. Sets and Whole Numbers 2.1 Sets and Operationson 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 Nondecimal Positional Systems. 3.3 Algorithms for Adding and Subtracting Whole Numbers.3.4 Algorithms for Multiplication and Division of Whole Numbers. 3.5 Mental Arithmetic and Estimation. 3.6 Getting the Most Out of Your Calculator. 4. Number Theory 4.1 Divisibility of Natural Numbers. 4.2 Tests for Divisibility. 4.3Greatest Common Divisors and Least Common Multiples. 4.4 Codes and Credit Card Numbers: Connections to Number Theory. 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 Properties and Applications of Rational Numbers 7. Decimals, Real Numbers, and Proportional Reasoning 7.1 Decimals and Real Numbers 7.2 Computations with Decimals. 7.3 Proportional Reasoning7.4 Percent. 8. Algebraic Reasoning and Representation 8.1 Expressions, Functions, and Equations 8.2 Graphing Functions in the Cartesian Plane 9. Statistics: The Interpretation of Data 9.1 Graphical Representation of Data. 9.2 Measures of Central Tendency and Variability. 9.3 Statistical Inference and Sampling10. Probability 10.1 Empirical Probability. 10.2 Principles of Counting. 10.3Permutations and Combinations 10.4 Theoretical Probability 11. Geometric Figures 11.1 Figures in the Plane. 11.2 Curves and Polygons in the Plane. 11.3 Figures in Space. 11.4 Networks. 12. Measurement: Length, Area, and Volume 12.1 The Measurement Process. 12.2 Area and Perimeter. 12.3 The Pythagorean Theorem.12.4 Surface Area and Volume. 13. Transformations, Symmetries, and Tilings 13.1 Rigid Motions and Similarity Transformations. 13.2 Patterns and Symmetries.13.3 Tilings and Escher-like Design. 14. Congruence, Constructions, and Similarity 14.1 Congruent Triangles. 14.2 Constructing Geometric Figures. 14.3 Similar Triangles. Appendix A Manipulatives in the Mathematics Classroom Appendix B Spreadsheets Appendix C Graphing Calculators Appendix D A Brief Guide to theGeometer's Sketchpad Appendix E Resources.

• ISBN: 978-0-321-52857-5
• Editorial: Addison-Wesley
• Encuadernacion: Cartoné
• Páginas: 1120
• Fecha Publicación: 01/03/2008
• Nº Volúmenes: 1
• Idioma: Inglés