Mathematics for Elementary Teachers

ISBN-10: 0321357736
ISBN-13: 9780321357731
Edition: 2005
Authors: Sybilla Beckmann
List price: $113.33
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Book details

List price: $113.33
Copyright year: 2005
Publisher: Addison-Wesley Longman, Incorporated
Binding: Hardcover
Size: 8.25" wide x 10.25" long x 2.00" tall
Weight: 6.248
Language: English

Sybilla Beckmann earned her undergraduate degree in mathematics from Brown University and a PhD in mathematics from the University of Pennsylvania. She taught and did research in mathematics at Yale University for two years. Since then, she has been at the University of Georgia. When she had children, she became very interested in helping prospective teachers understand and appreciate the mathematics they will teach. This interest led to her book. In her spare time, she enjoys playing the piano, weaving, attending classical music concerts, and traveling with her family.

Problem Solving
Solving Problems
Explaining Solutions
Numbers and the Decimal System
Introduction to the Number Systems
The Decimal System and Place Value
Representing Decimal Numbers
Comparing Sizes of Decimal Numbers
Rounding Decimal Numbers
Fractions
The Meaning of Fractions
Equivalent Fractions
Fractions as Numbers
Comparing Sizes of Fractions
Percent
Addition and Subtraction
Interpretations of Addition and Subtraction
The Algorithms for Adding and Subtracting
Adding and Subtracting Fractions
When Do We Add Percentages
Percent Increase and Percent Decrease
The Commutative and Associative Properties and Mental Math
Multiplication
The Meaning of Multiplication
Why Multiplying Decimal Numbers by 10 Is Easy
Multiplication and Areas of Rectangles
The Commutative Property of Multiplication
Multiplication and Volumes of Boxes
The Associative Property of Multiplication
The Distributive Property
Mental Math, Properties of Arithmetic, and Algebra
Why the Procedure for Multiplying Works
Multiplication of Fractions, Decimals, and Negative Numbers
Multiplying Fractions
Powers
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
The Concept of Measurement
Error and Accuracy in Measurements
Length, Area, Volume, and Dimension
Calculating Perimeter, Area, and Volume
Comparing Sizes of Objects
Converting From one Unit of Measurement to Another
More About Area and Volume
The Moving and Combining Principles About Area
The Pythagorean Theorem
Approximating Areas of Irregular Shapes
Cavalieri's Principle About Shearing and Area
Areas of Triangles
Areas of Parallelograms
Areas of Circles and the Number Pi
Relating the Perimeter and Area of a Shape
Principles for Determining Volumes
Volumes of Solid Shapes
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 With Pictures and With Algebra
Sequences
Series
Functions
Linear Functions
Statistics
Designing Investigations and Gathering Data
Displaying Data and Interpreting Data Displays
The Center of Data: Mean, Median and Mode
The Spread of Data: Percentiles
Probability
Basic Principles and Calculation Methods of Probability
Calculating Probabilities by considering the Ideal Outcome

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