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Full Description
Future elementary and middle school teachers need a clear, coherent presentation of the mathematical concepts, procedures, and processes they will be called upon to teach. This text uniquely balances what they will teach (concepts and content) with how to teach (processes and communication). As a result, students using Mathematics for Elementary School Teachers leave the course knowing more than basic math skills; they develop a deep understanding of concepts that enables them to effectively teach others. This Fourth Edition features an increased focus on the 'big ideas' of mathematics, as well as the individual skills upon which those ideas are built.To see available supplements that will enliven your course with activities, classroom videos, and professional development for future teachers, visit http://www.pearsonhighered.com/teachingmath.
Contents
1 Mathematical Processes 1.1 Communicating Mathematically1.2 Reasoning Mathematically1.3 Mathematics as Problem Solving2 Sets and Whole-Number Operations and Properties2.1 Sets and Whole Numbers2.2 Addition and Subtraction of Whole Numbers2.3 Multiplication and Division of Whole Numbers2.4 Numeration3 Estimation and Computation3.1 Strategies and Procedures for Mental Computation3.2 Strategies and Procedures for Estimation3.3 Algorithms for Addition and Subtraction3.4 Algorithms for Multiplication and Division4 Number Theory4.1 Factors and Divisibility4.2 Prime and Composite Numbers5 Understanding Integer Operations and Properties5.1 Addition, Subtraction, and Order Properties of Integers5.2 Multiplication, Division, and Other Properties of Integers6 Rational Number Operations and Properties6.1 Rational Number Ideas and Symbols6.2 Adding and Subtracting Fractions6.3 Multiplying and Dividing Fractions6.4 Operations with Decimals6.5 Comparing, Ordering and Connecting Rational Numbers7 Proportional Reasoning7.1 The Concept of Ratio7.2 Proportional Variation and Solving Proportions7.3 Solving Percent Problems7.4 Finding Simple and Compound Interest8 Analyzing Data8.1 Types of Data Displays8.2 Data Displays That Show Relationships8.3 Describing the Average and Spread of Data8.4 Decision Making with Data9 Probability9.1 Understanding Probability9.2 Connecting Probability to Models and Counting9.3 Simulations9.4 Odds and Long-Term Behavior9.5 Random Variables and Probability Distributions9.6 Permutations and Combinations10 Introducing Geometry10.1 Basic Ideas of Geometry10.2 More About Points, Segments, and Lines10.3 More About Angles10.4 More About Triangles10.5 More About Quadrilaterals11 Extending Geometry11.1 Transformations11.2 Geometric Patterns11.3 Special Polygons11.4 Three-Dimensional Figures12 Measurement12.1 The Concept of Measurement12.2 Measuring the Perimeter and Area of Polygons12.3 Measuring the Surface Area and Volume of Solids13 Exploring Ideas of Algebra and Coordinate Geometry13.1 Variables, Expressions, and Equations13.2 Solving Equations13.3 Exploring Graphs of Linear Equations13.4 Connecting Algebra and GeometryAppendicesA Graphing CalculatorB Geometry Exploration SoftwareC Glossary of Geometric TermsD Constructions
