# Mathematics for Elementary Teachers plus Activities Manual

• ISBN13:

• ISBN10:

## 0321447174

• Edition: 3rd
• Format: Package
• Copyright: 1/1/2011
• Publisher: Addison Wesley
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### Summary

Elementary school classrooms are increasingly relying on a discovery method for the teaching of mathematics.Mathematics for Elementary Teachersthoroughly prepares preservice teachers to use this approach as it has been proven to increase their depth of understanding of mathematics. In this text, topics are organized by operation, rather than number type, and time is spent explaining why the math works, rather than just on the mechanics of how it works. Fully integrated activities are found in the book and in an accompanying Activities Manual. Students, as a result, engage, explore, discuss, and ultimately reach true understanding of the approachandof mathematics.

### Table of Contents

 Problem Solving Solving Problems Explaining Solutions Numbers and the Decimal System Overview of the Number Standards The Decimal System and Place Value Representing Decimal Numbers Comparing Decimal Numbers Rounding Decimal Numbers Fractions The Meaning of Fractions Fractions as Numbers Equivalent Fractions Comparing Fractions Percent Addition and Subtraction Interpretations of Addition and Subtraction Why the Standard Algorithms for Adding and Subtracting Decimal Numbers Work Adding and Subtracting Fractions When Do We Add Percentages? Percent Increase and Percent Decrease The Commutative and Associative Properties of Addition and Mental Math Multiplication The Meaning of Multiplication and Ways to Show Multiplication Why Multiplying Decimal Numbers by 10 is Easy The Commutative Property of Multiplication and Areas of Rectangles The Associative Property of Multiplication and Volumes of Boxes The Distributive Property Mental Math, Properties of Arithmetic, and Algebra Why the Procedure for Multiplying Whole Numbers Works Multiplication of Fractions, Decimals, and Negative Numbers Multiplying Fractions Multiplying Decimals Multiplying Negative Numbers Scientific Notation Division The Meaning of Division Understanding Long Division Fractions and Division Dividing Fractions Dividing Decimals Ratio and Proportion Geometry Visualization Angles Circles and Spheres Triangles, Quadrilaterals, and Other Polygons Constructions with Straightedge and Compass Polyhedra and Other Solid Shapes Geometry of Motion and Change Reflections, Translations, and Rotations Symmetry Congruence Similarity Measurement Fundamentals of Measurement Length, Area, Volume, and Dimension Calculating Perimeters of Polygons, Areas of Rectangles, and Volumes of Boxes Error and Accuracy in Measurements Converting from One Unit of Measurement to Another More About Area and Volume The Moving and Additivity Principles About Area Using the Moving and Additivity Principles to Prove the Pythagorean Theorem Areas of Triangles Areas of Parallelograms Cavalieri's Principle About Shearing and Area Areas of Circles and the Number Pi Approximating Areas of Irregular Shapes Relating the Perimeter and Area of a Shape Principles for Determining Volumes Volumes of Prisms, Cylinders, Pyramids, and Cones Areas, Volumes, and Scaling Number Theory Factors and Multiples Greatest Common Factor and Least Common Multiple Prime Numbers Even and Odd Divisibility Tests Rational and Irrational Numbers Functions and Algebra Mathematical Expressions, Formulas, and Equations Solving Equations Using Number Sense, Strip Diagrams, and Algebra Sequences Series Functions Linear Functions Statistics Formulating Questions, Designing Investigations, and Gathering Data Displaying Data and Interpreting Data Dis Table of Contents provided by Publisher. All Rights Reserved.