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Today's Mathematics: Concepts, Methods, and Classroom Activities, (Shrinkwrapped with CD inside envelop inside front cover of Text), 12th Edition,9780470286906
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Today's Mathematics: Concepts, Methods, and Classroom Activities, (Shrinkwrapped with CD inside envelop inside front cover of Text), 12th Edition

by ; ;
Edition:
12th
ISBN13:

9780470286906

ISBN10:
0470286903
Format:
Paperback
Pub. Date:
1/1/2009
Publisher(s):
WILEY
List Price: $207.35

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Summary

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.

Author Biography

James Heddens is a Professor Emeritus from Kent State University.

Table of Contents

Chapter 1
Learning Mathematicsp. 1
Societal Needsp. 2
Calls for Changep. 3
National and International Achievementp. 3
The Identification of Standardsp. 5
Principles and Standards for School Mathematicsp. 6
Implementing the Process Standardsp. 8
Describing A Contemporary Mathematics Programp. 10
Levels of Abstractionp. 11
Theoretical Foundations for a Contemporary Mathematics Programp. 12
Theory into Practicep. 17
Closurep. 18
Teaching Competencies and Self-Assessment Tasksp. 19
Chapter 2
Teaching Mathematicsp. 21
The NCTM Principles and Standards for School Mathematicsp. 22
The NCTM Professional Teaching Standards: Mathematics Teaching Todayp. 23
An Example of a Teaching Standardp. 25
Lesson Planning Processes and Purposesp. 29
Issues in Designing Mathematics Lessonsp. 33
Mathematics Objectivesp. 35
The Role of Motivation and Follow-Upp. 36
The Assessment of Learning and Teachingp. 37
Adjusting Instruction to Meet Individual Needsp. 38
Classroom Instructional Aidsp. 39
Closurep. 40
Teaching Competencies and Self-Assessment Tasksp. 41
Chapter 3
Assessing Mathematicsp. 43
NCTM Assessment Standards for School Mathematicsp. 44
An Example of an Assessment Standardp. 47
A Classroom Assessment Vignettep. 48
Purposes for Assessmentp. 49
Assessment Strategiesp. 51
Closurep. 58
Teaching Competencies and Self-Assessment Tasksp. 59
Chapter 4
Technology in K-8 Mathematicsp. 61
A Brief History of Technology's Influence on Educationp. 62
Calculators and Exploration of Mathematical Conceptsp. 63
Calculator Features and Functionsp. 66
Examples of Effective Calculator Usep. 66
Tools for Measuring Motionp. 68
Computers and Mathematics Instructionp. 69
Instructional Software in the Mathematics Classroomp. 71
Application Software in the Mathematics Classroomp. 72
Virtual Manipulativesp. 73
Design Issues and Advantages of Virtual Manipulativesp. 74
Classification Attributes for Virtual Manipulativesp. 75
Capsule Descriptions of the National Library of Virtual Manipulativesp. 76
Multimedia in the Mathematics Classroomp. 81
The Internet in the Mathematics Classroomp. 82
Programming Computers and Calculatorsp. 83
Closurep. 84
Teaching Competencies and Self-Assessment Tasksp. 85
Chapter 5
Problem Solving and Mathematical Languagep. 87
The Nature of Problem Solvingp. 88
Problem-Solving Strategiesp. 91
Approaching Word Problems Effectivelyp. 98
Logic and Reasoningp. 101
The Language of Logicp. 101
The Language of Mathematicsp. 103
Closurep. 107
Practice Exercises for Teachersp. 108
Teaching Competencies and Self-Assessment Tasksp. 111
Sample Instructional and Assessment Activitiesp. 112
Chapter 6
Number Sense, Numeration, and Place Valuep. 115
A Foundation for Mathematics Developmentp. 116
Patterns and Other Relationships in the Primary Curriculump. 117
Number Sensep. 118
Number Relationsp. 123
Extending Numberness Conceptsp. 125
Place-Value Numerationp. 125
Decimal Numerationp. 126
Ancient Numeration Systemsp. 131
Number Bases Other Than Tenp. 134
Closurep. 137
Practice Exercises for Teachersp. 138
Teaching Competencies and Self-Assessment Tasksp. 141
Sample Instructional and Assessment Activitiesp. 142
Chapter 7
Addition and Subtraction of Whole Numbersp. 145
Creating a Sound Base for Addition and Subtractionp. 146
Meaning and Models for Additionp. 147
Developing Basic Addition Factsp. 148
Memorizing Basic Addition Facts Using Structuresp. 149
Extending Basic Addition Facts Using Place Valuep. 155
Regrouping in the Addition Processp. 156
Meaning and Models for Subtractionp. 157
Developing Basic Subtraction Factsp. 160
Memorizing Basic Subtraction Facts Using Structuresp. 161
Extending Basic Subtraction Facts Using Place Valuep. 162
Regrouping in the Subtraction Processp. 163
Closurep. 164
Practice Exercises for Teachersp. 166
Teaching Competencies and Self-Assessment Tasksp. 167
Sample Instructional and Assessment Activitiesp. 167
Chapter 8
Multiplication and Division of Whole Numbersp. 171
Meaning and Models for Multiplicationp. 172
Developing and Memorizing Basic Multiplication Factsp. 175
Expanding Basic Multiplication Facts Through Place Valuep. 178
Regrouping in Multiplicationp. 181
Meaning and Models for Divisionp. 183
Developing and Memorizing Basic Division Factsp. 186
Remainders in Divisionp. 187
Expanding Basic Division Facts Through Place Valuep. 187
Closurep. 190
Practice Exercises for Teachersp. 191
Teaching Competencies and Self-Assessment Tasksp. 192
Sample Instructional and Assessment Activitiesp. 193
Chapter 9
Number Theory and Number Systemsp. 197
The Language of Number Theoryp. 199
The Sieve of Eratosthenesp. 200
Factor Treesp. 202
Prime Factorizationp. 203
Divisibility ''Rules''p. 205
Least Common Multiples and Greatest Common Factorsp. 207
Number Systemsp. 209
Closurep. 218
Practice Exercises for Teachersp. 218
Teaching Competencies and Self-Assessment Tasksp. 221
Sample Instructional and Assessment Activitiesp. 222
Chapter 10
Algebraic Reasoning: Generalizing Patterns and Relationshipsp. 225
The Content of Algebrap. 226
Algebra in Problem Solvingp. 228
Promoting Algebraic Thinking in the Lower Elementary Gradesp. 229
Enhancing Algebraic Thinking in the Upper Elementary and Middle Gradesp. 232
Closurep. 236
Practice Exercises for Teachersp. 238
Teaching Competencies and Self-Assessment Tasksp. 240
Sample Instructional and Assessment Activitiesp. 241
Chapter 11
Rational Numbers Expressed as Fractions: Conceptsp. 245
A Fraction of the History of Fractional Numbersp. 246
Rational Numbers-A Definition and Descriptionp. 247
The Regions Model for Fractional Numbersp. 248
The Groups of Objects Model for Fractional Numbersp. 250
The Number Line Model for Fractional Numbersp. 251
Knowledge and Understandings Prior to Operations on Rational Numbers Expressed as Fractionsp. 253
Closurep. 258
Practice Exercises for Teachersp. 260
Teaching Competencies and Self-Assessment tasksp. 262
Sample Instructional and Assessment Activitiesp. 263
Chapter 12
Rational Numbers Expressed as Fractions: Operationsp. 267
Addition of Fractional Numbersp. 269
Subtraction of Fractional Numbersp. 274
Multiplication of Fractional Numbersp. 278
Division of Fractional Numbersp. 282
Closurep. 285
Practice Exercises for Teachersp. 286
Teaching Competencies and Self-Assessment Tasksp. 288
Sample Instructional and Assessment Activitiesp. 288
Chapter 13
Rational Numbers Expressed as Decimalsp. 291
Models That Give Decimals Meaningp. 292
Place Value-A Foundation for Decimalsp. 293
Exponential Notationp. 295
Addition with Decimal Numbersp. 296
Subtraction with Decimal Numbersp. 297
Multiplication with Decimal Numbersp. 299
Division with Decimal Numbersp. 300
Relating Decimals and Fractionsp. 301
Scientific Notationp. 303
Ratio, Proportion, and Percentp. 304
Closurep. 311
Practice Exercises for Teachersp. 312
Teaching Competencies and Self-Assessment Tasksp. 313
Sample Instructional and Assessment Activitiesp. 314
Chapter 14
Data Analysis: Graphs, Statistics, and Probabilityp. 317
A Child's View of Statisticsp. 318
Measures of Central Tendency in Datap. 319
Organizing and Interpreting Datap. 321
Taking a ''Chance''p. 326
Experimental Probabilityp. 326
Theoretical Probabilityp. 327
Permutations and Combinationsp. 328
Models for Exploring Probabilityp. 330
Closurep. 331
Practice Exercises for Teachersp. 332
Teaching Competencies and Self-Assessment Tasksp. 334
Sample Instructional and Assessment Activitiesp. 335
Chapter 15
Measurementp. 339
The Historical Development of Measurement Systemsp. 340
Contemporary Measurement Systemsp. 341
The Process of Measurementp. 345
Computing with Denominate Numbersp. 349
Money and Time as Measuresp. 350
Closurep. 354
Practice Exercises for Teachersp. 354
Teaching Competencies and Self-Assessment Tasksp. 356
Sample Instructional and Assessment Activitiesp. 357
Chapter 16
Geometry: Basic Concepts and Structuresp. 361
Early Experiences in Geometryp. 363
The ''Building Blocks'' of Geometryp. 364
Extending the Basics-Curves, Regions, and Raysp. 366
Angles and Angle Measurep. 369
Exploring Geometric Constructionsp. 372
Symmetry and Transformational Geometryp. 374
Other Devices for Exploring Geometric Conceptsp. 376
Closurep. 377
Practice Exercises for Teachersp. 378
Teaching Competencies and Self-Assessment Tasksp. 381
Sample Instructional and Assessment Activitiesp. 382
Chapter 17
Geometry: Polygons and Polyhedrap. 385
Defining Polygonsp. 386
A Closer Look at Trianglesp. 388
A Closer Look at Quadrilateralsp. 394
A Closer Look at Circlesp. 395
Area, Perimeter, and Circumference Measurementp. 397
Defining Polyhedrap. 401
Closurep. 409
Practice Exercises for Teachersp. 410
Teaching Competencies and Self-Assessment Tasksp. 414
Sample Instructional and Assessment Activitiesp. 415
Table of Contents provided by Publisher. All Rights Reserved.


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