Preface 

ix  
To the Student 

xix  


1  (77) 


4  (7) 

An Introduction to Problem Solving 


11  (5) 

Polya's ProblemSolving Principles 


16  (11) 

More ProblemSolving Strategies 


27  (21) 

Additional ProblemSolving Strategies 


48  (10) 

Problem Solving in the Real World 


58  (20) 


72  (2) 


74  (3) 


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) 


136  (20) 


150  (3) 


153  (1) 


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) 


240  (1) 


241  (1) 


242  (2) 


244  (56) 

Divisibility of Natural Numbers 


247  (14) 


261  (9) 

Greatest Common Divisors and Least Common Multiples 


270  (13) 


283  (17) 


297  (1) 


298  (1) 


299  (1) 


300  (51) 

Representations of Integers 


302  (11) 

Addition and Subtraction of Integers 


313  (21) 

Multiplication and Division of Integers 


334  (17) 


346  (2) 


348  (2) 


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) 


407  (2) 


409  (1) 


410  (2) 

Decimals and Real Numbers 


412  (65) 


415  (21) 

Computations with Decimals 


436  (13) 


449  (11) 


460  (17) 


473  (1) 


474  (2) 


476  (1) 

Statistics: The Interpretation of Data 


477  (57) 

The Graphical Representation of Data 


479  (21) 

Measures of Central Tendency and Variability 


500  (18) 


518  (16) 


531  (1) 


532  (1) 


533  (1) 


534  (58) 


536  (14) 


550  (17) 


567  (25) 


588  (1) 


589  (2) 


591  (1) 


592  (82) 


596  (20) 

Curves and Polygons in the Plane 


616  (21) 


637  (19) 


656  (18) 


668  (2) 


670  (2) 


672  (2) 


674  (74) 


676  (16) 


692  (20) 


712  (9) 


721  (27) 


742  (2) 


744  (1) 


745  (3) 

Transformations, Symmetries, and Tilings 


748  (62) 

Rigid Motions and Similarity Transformations 


751  (24) 


775  (14) 

Tilings and Escherlike Designs 


789  (21) 


804  (2) 


806  (1) 


807  (3) 

Congruence, Constructions, and Similarity 


810  (60) 


812  (18) 

Constructing Geometric Figures 


830  (19) 


849  (21) 


865  (1) 


866  (2) 


868  (2) 


870  (2) 

The Cartesian Coordinate System 


872  (13) 


885  (11) 

Solving Geometric Problems Using Coordinates 


906  (9) 


915  (10) 


925  (1) 


926  (2) 


928  (1) 
Appendices 


Appendix A Manipulatives in the Mathematics Classroom 


929  (4) 


933  (6) 

Appendix C Graphing Calculators 


939  (4) 

Appendix D A Brief Guide to The Geometer's Sketchpad 


953  
Answers to Selected Problems 

A1  
Acknowledgments 

A57  
Mathematical Lexicon 

A59  
Index and Pronunciation Guide 

A61  