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Title:
Mathematics for elementary school teachers
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Publication Information:
Australia ; Belmont, CA : Brooks/Cole : Cengage Learning, c2013
Physical Description:
xviii, 844, [105] p. : col. ill. ; 28 cm.
ISBN:
9780538493635

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30000010327889 QA135.6 F54 2013 f Open Access Book Book
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Summary

Summary

Mathematics for Elementary School Teachers is designed to give you a profound understanding of the mathematical content that you are expected to know and be able to teach. The chapters integrate the National Council of Teachers of Mathematics (NCTM) Standards and Expectations and the new Common Core State Standards, as well as research literature. The five NCTM Process Standards of problem solving, reasoning and proof, communication, connections, and representation highlight ways that teachers present content, the ways that students learn content, and various ways that students can demonstrate procedural and conceptual understanding. The worked examples and homework questions provide prospective elementary school teachers with opportunities to develop mathematical knowledge, understanding, and skills that they can apply in their own classrooms effectively. The learning path begins with the "Where Are We Going?" Chapter Openers, worked Examples with Yellow Markers that indicate the Process Standards throughout the text, to the Concept Maps, to the Section Question Sets with their "refreshers" of Process Standards, to the Chapter Organizers with Learning Outcomes and a list of the corresponding Review Questions, and finally, conclude at the Chapter Tests with their overarching Learning Outcomes.


Table of Contents

1 Problem Solving And Reasoning
Patterns and Inductive Reasoning
Problem-Solving Strategies
Algebra and Problem Solving
Logic and Deductive Reasoning
Chapter Review
Chapter Test
2 Sets, Numeration, And Addition And Subtraction With Whole Numbers
Sets and Operations
Numbers and Numeration
Models and Properties of Addition and Subtraction
Algorithms for Whole-Number Addition and Subtraction
Chapter Review
Chapter Test
3 Multiplication and Division With Whole Numbers
Models and Properties of Multiplication
Models of Division
Algorithms for Whole-Number Multiplication and Division
Chapter Review
Chapter Test
4 Elementary Number Theory And Integers
Divisibility of Counting Numbers
Prime and Composite Numbers, LCM, and GCF
Integers
Chapter Review
Chapter Test
5 Rational Numbers And Fractions
Concept of Fractions and Representations
Addition and Subtraction with Rational Numbers
Multiplication and Division with Rational Numbers
Ratios and Proportional Reasoning
Chapter Review
Chapter Test
6 Decimals, Real Numbers, And Percents
Decimals and Operations
Repeating Decimals, Irrational Numbers, and Real Numbers
Percent and Percent Change
Chapter Review
Chapter Test
7 Algebra and Functions
Representing and Creating Functions
Solving Equations
Algebra Tiles
Chapter Review
Chapter Test
8 Descriptive Statistics
Graphical Representation of Data
Measures of Center and Variation
Percentiles, Box Plot, and Outliers
Chapter Review
Chapter Test
9 Probability
Basics of Probability
Probability Rules
Expected Value, Odds, Simulation, and Normal Distribution
Chapter Review
Chapter Test
10 Introduction To Geometry
Representation of Building Blocks of Geometry
Pairs of Angles and Types of Polygons
Three-Dimensional Shapes
Chapter Review
Chapter Test
11 Measurement
Concept of Measurement and Measurement Systems
Perimeter and Area
The Pythagorean Theorem and Triangle Inequalities
Volume and Surface Area
Chapter Review
Chapter Test
12 Triangles And Quadrilaterals
Congruence Axioms for Triangles
Euclidean Constructions
Similarity
Chapter Review
Chapter Test
13 Coordinate Geometry And Plane Transformations
Representations of Lines
Properties of Polygons Using Coordinate Geometry
Transformations of the Plane
Chapter Review
Chapter Test.