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Today's Mathematics Concepts, Methods, and Classroom Activities

ISBN-10: 0470286903
ISBN-13: 9780470286906
Edition: 12th 2009
List price: $204.95 Buy it from $14.61
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Description: Elementary school math teachers need a resource that provides a valuable set of ideas and reference materials for actual classroom use. Now in its 12 th edition, this successful book will help them thoroughly understand today's NCTM standards and  More...

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Book details

List price: $204.95
Edition: 12th
Copyright year: 2009
Publisher: John Wiley & Sons, Incorporated
Publication date: 1/9/2009
Binding: Paperback
Pages: 456
Size: 8.50" wide x 11.25" long x 0.50" tall
Weight: 2.134

Elementary school math teachers need a resource that provides a valuable set of ideas and reference materials for actual classroom use. Now in its 12 th edition, this successful book will help them thoroughly understand today's NCTM standards and how to present them in the most effective way possible. It includes increased coverage of diversity while integrating the latest NCTM guidelines. Readers will also find improved and increased coverage of technology. And they'll benefit from a new feature that addresses math anxiety. Elementary math teachers will quickly discover how to put the principles of mathematics to work in the classroom.

Chapter 1
Learning Mathematics
Societal Needs
Calls for Change
National and International Achievement
The Identification of Standards
Principles and Standards for School Mathematics
Implementing the Process Standards
Describing A Contemporary Mathematics Program
Levels of Abstraction
Theoretical Foundations for a Contemporary Mathematics Program
Theory into Practice
Closure
Teaching Competencies and Self-Assessment Tasks
Chapter 2
Teaching Mathematics
The NCTM Principles and Standards for School Mathematics
The NCTM Professional Teaching Standards: Mathematics Teaching Today
An Example of a Teaching Standard
Lesson Planning Processes and Purposes
Issues in Designing Mathematics Lessons
Mathematics Objectives
The Role of Motivation and Follow-Up
The Assessment of Learning and Teaching
Adjusting Instruction to Meet Individual Needs
Classroom Instructional Aids
Closure
Teaching Competencies and Self-Assessment Tasks
Chapter 3
Assessing Mathematics
NCTM Assessment Standards for School Mathematics
An Example of an Assessment Standard
A Classroom Assessment Vignette
Purposes for Assessment
Assessment Strategies
Closure
Teaching Competencies and Self-Assessment Tasks
Chapter 4
Technology in K-8 Mathematics
A Brief History of Technology's Influence on Education
Calculators and Exploration of Mathematical Concepts
Calculator Features and Functions
Examples of Effective Calculator Use
Tools for Measuring Motion
Computers and Mathematics Instruction
Instructional Software in the Mathematics Classroom
Application Software in the Mathematics Classroom
Virtual Manipulatives
Design Issues and Advantages of Virtual Manipulatives
Classification Attributes for Virtual Manipulatives
Capsule Descriptions of the National Library of Virtual Manipulatives
Multimedia in the Mathematics Classroom
The Internet in the Mathematics Classroom
Programming Computers and Calculators
Closure
Teaching Competencies and Self-Assessment Tasks
Chapter 5
Problem Solving and Mathematical Language
The Nature of Problem Solving
Problem-Solving Strategies
Approaching Word Problems Effectively
Logic and Reasoning
The Language of Logic
The Language of Mathematics
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 6
Number Sense, Numeration, and Place Value
A Foundation for Mathematics Development
Patterns and Other Relationships in the Primary Curriculum
Number Sense
Number Relations
Extending Numberness Concepts
Place-Value Numeration
Decimal Numeration
Ancient Numeration Systems
Number Bases Other Than Ten
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 7
Addition and Subtraction of Whole Numbers
Creating a Sound Base for Addition and Subtraction
Meaning and Models for Addition
Developing Basic Addition Facts
Memorizing Basic Addition Facts Using Structures
Extending Basic Addition Facts Using Place Value
Regrouping in the Addition Process
Meaning and Models for Subtraction
Developing Basic Subtraction Facts
Memorizing Basic Subtraction Facts Using Structures
Extending Basic Subtraction Facts Using Place Value
Regrouping in the Subtraction Process
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 8
Multiplication and Division of Whole Numbers
Meaning and Models for Multiplication
Developing and Memorizing Basic Multiplication Facts
Expanding Basic Multiplication Facts Through Place Value
Regrouping in Multiplication
Meaning and Models for Division
Developing and Memorizing Basic Division Facts
Remainders in Division
Expanding Basic Division Facts Through Place Value
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 9
Number Theory and Number Systems
The Language of Number Theory
The Sieve of Eratosthenes
Factor Trees
Prime Factorization
Divisibility ''Rules''
Least Common Multiples and Greatest Common Factors
Number Systems
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 10
Algebraic Reasoning: Generalizing Patterns and Relationships
The Content of Algebra
Algebra in Problem Solving
Promoting Algebraic Thinking in the Lower Elementary Grades
Enhancing Algebraic Thinking in the Upper Elementary and Middle Grades
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 11
Rational Numbers Expressed as Fractions: Concepts
A Fraction of the History of Fractional Numbers
Rational Numbers-A Definition and Description
The Regions Model for Fractional Numbers
The Groups of Objects Model for Fractional Numbers
The Number Line Model for Fractional Numbers
Knowledge and Understandings Prior to Operations on Rational Numbers Expressed as Fractions
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment tasks
Sample Instructional and Assessment Activities
Chapter 12
Rational Numbers Expressed as Fractions: Operations
Addition of Fractional Numbers
Subtraction of Fractional Numbers
Multiplication of Fractional Numbers
Division of Fractional Numbers
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 13
Rational Numbers Expressed as Decimals
Models That Give Decimals Meaning
Place Value-A Foundation for Decimals
Exponential Notation
Addition with Decimal Numbers
Subtraction with Decimal Numbers
Multiplication with Decimal Numbers
Division with Decimal Numbers
Relating Decimals and Fractions
Scientific Notation
Ratio, Proportion, and Percent
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 14
Data Analysis: Graphs, Statistics, and Probability
A Child's View of Statistics
Measures of Central Tendency in Data
Organizing and Interpreting Data
Taking a ''Chance''
Experimental Probability
Theoretical Probability
Permutations and Combinations
Models for Exploring Probability
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 15
Measurement
The Historical Development of Measurement Systems
Contemporary Measurement Systems
The Process of Measurement
Computing with Denominate Numbers
Money and Time as Measures
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 16
Geometry: Basic Concepts and Structures
Early Experiences in Geometry
The ''Building Blocks'' of Geometry
Extending the Basics-Curves, Regions, and Rays
Angles and Angle Measure
Exploring Geometric Constructions
Symmetry and Transformational Geometry
Other Devices for Exploring Geometric Concepts
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities
Chapter 17
Geometry: Polygons and Polyhedra
Defining Polygons
A Closer Look at Triangles
A Closer Look at Quadrilaterals
A Closer Look at Circles
Area, Perimeter, and Circumference Measurement
Defining Polyhedra
Closure
Practice Exercises for Teachers
Teaching Competencies and Self-Assessment Tasks
Sample Instructional and Assessment Activities

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