9780321043337

Mathematical Reasoning for Elementary School Teachers

by ;
  • ISBN13:

    9780321043337

  • ISBN10:

    0321043332

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2001-01-01
  • Publisher: Addison Wesley
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Supplemental Materials

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  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

Summary

Traditional skill and drill approach with activities for each chapter opener.

Table of Contents

Preface ix
To the Student xix
Thinking Critically
1(77)
Some Surprising Tidbits
4(7)
An Introduction to Problem Solving
11(5)
Polya's Problem-Solving Principles
16(11)
More Problem-Solving Strategies
27(21)
Additional Problem-Solving Strategies
48(10)
Problem Solving in the Real World
58(20)
Summary
72(2)
Review Exercises
74(3)
Test
77(1)
Sets, Whole Numbers, and Functions
78(78)
Sets and Operations on Sets
80(12)
Sets, Counting, and the Whole Numbers
92(11)
Addition and Subtraction of Whole Numbers
103(14)
Multiplication and Division of Whole Numbers
117(19)
Functions
136(20)
Summary
150(3)
Review Exercises
153(1)
Test
154(2)
Numeration and Computation
156(88)
Numeration Systems Past and Present
158(18)
Nondecimal Positional Systems
176(8)
Algorithms for Adding and Subtracting Whole Numbers
184(15)
Algorithms for Multiplication and Division of Whole Numbers
199(14)
Mental Arithmetic and Estimation
213(12)
Getting the Most Out of Your Calculator
225(19)
Summary
240(1)
Review Exercises
241(1)
Test
242(2)
Number Theory
244(56)
Divisibility of Natural Numbers
247(14)
Tests for Divisibility
261(9)
Greatest Common Divisors and Least Common Multiples
270(13)
Clock Arithmetic
283(17)
Summary
297(1)
Review Exercises
298(1)
Test
299(1)
Integers
300(51)
Representations of Integers
302(11)
Addition and Subtraction of Integers
313(21)
Multiplication and Division of Integers
334(17)
Summary
346(2)
Review Exercises
348(2)
Test
350(1)
Fractions and Rational Numbers
351(61)
The Basic Concepts of Fractions and Rational Numbers
354(17)
The Arithmetic of Rational Numbers
371(19)
The Rational Number System
390(22)
Summary
407(2)
Review Exercises
409(1)
Test
410(2)
Decimals and Real Numbers
412(65)
Decimals
415(21)
Computations with Decimals
436(13)
Ratio and Proportion
449(11)
Percent
460(17)
Summary
473(1)
Review Exercises
474(2)
Test
476(1)
Statistics: The Interpretation of Data
477(57)
The Graphical Representation of Data
479(21)
Measures of Central Tendency and Variability
500(18)
Statistical Inference
518(16)
Summary
531(1)
Review Exercises
532(1)
Test
533(1)
Probability
534(58)
Empirical Probability
536(14)
Principles of Counting
550(17)
Theoretical Probability
567(25)
Summary
588(1)
Review Exercises
589(2)
Test
591(1)
Geometric Figures
592(82)
Figures in the Plane
596(20)
Curves and Polygons in the Plane
616(21)
Figures in Space
637(19)
Networks
656(18)
Summary
668(2)
Review Exercises
670(2)
Test
672(2)
Measurement
674(74)
The Measurement Process
676(16)
Area and Perimeter
692(20)
The Pythagorean Theorem
712(9)
Surface Area and Volume
721(27)
Summary
742(2)
Review Exercises
744(1)
Test
745(3)
Transformations, Symmetries, and Tilings
748(62)
Rigid Motions and Similarity Transformations
751(24)
Patterns and Symmetries
775(14)
Tilings and Escher-like Designs
789(21)
Summary
804(2)
Review Exercises
806(1)
Test
807(3)
Congruence, Constructions, and Similarity
810(60)
Congruent Triangles
812(18)
Constructing Geometric Figures
830(19)
Similar Triangles
849(21)
Summary
865(1)
Review Exercises
866(2)
Test
868(2)
Coordinate Geometry
870(2)
The Cartesian Coordinate System
872(13)
Lines and Their Graphs
885(11)
Solving Geometric Problems Using Coordinates
906(9)
Graphing Functions
915(10)
Summary
925(1)
Review Exercises
926(2)
Test
928(1)
Appendices
Appendix A Manipulatives in the Mathematics Classroom
929(4)
Appendix B Spreadsheets
933(6)
Appendix C Graphing Calculators
939(4)
Appendix D A Brief Guide to The Geometer's Sketchpad
953
Answers to Selected Problems A-1
Acknowledgments A-57
Mathematical Lexicon A-59
Index and Pronunciation Guide A-61

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