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Tables of Contents for Mathematics With Infotrac
Chapter/Section Title
Page #
Page Count
Do You Really Have Math Anxiety?
1
11
Goals for Success
4
3
My Plan for Math Success
7
5
Summary
11
1
The Math Anxiety Process
12
19
Reexamining Your Past Math History
13
9
What Is Your Math History?
22
1
Your Math Autobiography
22
3
New Insights and Revelations
25
2
Picturing the Math Anxiety Process
26
1
Math Journal Writing
27
4
Summary
30
1
Learning to Manage Anxiety
31
6
The Calming Breath
34
1
Deep Abdominal Breathing Techniques
34
3
Summary
36
1
Overcoming Internal Barriers
37
6
The Wall Fantasy
37
1
Analyzing Your Fantasy
38
3
Getting Through the Wall
39
2
Word Problem Log
41
2
Summary
42
1
Positive Thinking Is a Plus Sign
43
21
Do You Have an Attitude Problem?
43
1
Positive Affirmations for Succeeding in Math
44
2
Poster Your Wall
46
1
Challenging Negative Self-Talk (Optional)
47
2
Creating Personal Metaphors
47
2
Creating Personal, Positive Metaphors
49
5
Putting Enthusiasm into Your Life
50
4
The Math Winner's Ad Campaign
54
1
Developing Your Personal Winning Language (Optional)
55
2
Caution: Beware of Negative Math Thinkers
57
1
Identifying Your Math Support Group
58
1
Believe You Will Succeed
59
1
Rewriting Disempowering Math Beliefs
59
1
Believe in Yourself
60
1
Expressing Legitimate Math Rights
61
1
Identifying Your Math Rights
61
3
Summary
62
2
Winning with ``Success in Math Visualizations''
64
12
Program Yourself to Succeed
66
2
``Success in Math Visualization''
68
2
Rehearsing a Forthcoming Math Situation
70
1
Building Confidence
70
1
A Memory Bank of Positive Images
70
2
Anchoring Confidence
71
1
Anchoring Confidence in Math
72
1
Visualizing Metaphors for Success
73
1
My Brilliant (Math) Career
74
2
Summary
75
1
Enhancing Your Learning Style
76
19
Perceptual Learning Channels
77
1
Assessing Your Perceptual Learning Channels
78
8
Suggestions for Distinctive Learning Channels
80
5
Other Major Factors Affecting Your Learning
85
1
When Is Your Mental Energy at Its Highest?
86
2
How Does Sound Affect You? (Optional)
88
1
How Does Lighting Affect You? (Optional)
89
1
How Does Temperature Affect You? (Optional)
90
1
How Does Room Design Affect You? (Optional)
91
1
How Does Food Affect Your Studying? (Optional)
91
4
Personal Thinking Styles
92
2
Summary
94
1
Effective Math Study Skills: The Fuel of Excellence
95
33
How Good Are Your Study Skills?
96
1
My Personal Math Study-Skills Inventory
96
15
How Do You Approach Learning?
98
1
Which Math Class to Take?
99
1
Schedule It Right
100
1
Teacher Selection: Satisfaction Guaranteed
101
1
Give It Your All
102
1
Stay Current
102
1
Attend All Classes
102
1
Be Bold: Sit Near the Front
103
1
Take Full Class Notes
103
1
Questions That Count; Answers That Add Up
104
1
The Magic of ``Now'' Improves Memory
105
2
The Birth of Excellence: Say and Do
107
1
Homework Hints
108
1
Visualize the Problems
109
1
The Ten Commandments of Work Checking
109
2
Checking Procedures (Optional)
111
4
Practice, Practice, Practice
112
1
Overlearn Your Math
112
1
Follow Your Alertness Cycles
112
1
Take Breaks
113
1
Stop Procrastinating: Do It Now!
114
1
Your Math Study Reward System
115
2
Shifting to Super Action Self-Talk
117
10
Tackle Your Math Book
119
1
Read the Chapter Before and After Class
119
1
How to Read Your Math Text
120
2
Keep a Math Terms and Idea Log
122
1
Flashcards for Quick Recall
122
1
Use Additional Resource Materials
123
1
Get Help Fast
124
1
Study Buddies
125
2
Now It's Time for You to Decide
127
1
My Commitment for Improvement
127
1
Summary
127
1
Conquering Test Anxiety
128
24
Symptoms of Test Anxiety
128
2
Test Preparation and Test-Taking Strategies
129
1
Your Next Math Exam
130
1
Design Practice Math Exams
131
1
Your Typical Math Errors
132
1
Your Math ``Cheat Sheet'' (Optional)
132
5
Dealing with Psychological Pressures
134
3
Becoming Aware of Continuous Inner Dialogue
137
1
Negative to Positive Self-Statement Shifts
138
1
Thought-Stoppage Technique
139
1
Positive Statements for Academic Success
139
2
Practice the Calming Techniques
141
2
A ``Math Test Anxiety Reduction Visualization''
143
6
Performance Health Tips
146
3
Putting It All Together
149
1
Math Test Anxiety Reduction Checklist
149
3
Summary
150
2
Be a Successful Problem Solver
152
17
Are You a Left-Brain or Right-Brain Problem Solver?
154
3
Practice Logical Sequential Thinking
157
12
Polya's Problem-Solving Tricks
158
3
Tackling Word Problems: Develop Your Own 12-Point System
161
4
Identifying the Exotic Animals and Dealing with Algebra Problems
165
2
Summary
167
2
Math Is the Future
169
16
Why Math?
170
4
Today's Lucrative, Exciting Careers
174
1
Career Opportunities with Math
175
8
Enjoy Greater Academic Success
176
1
Score Higher on Exams
177
1
Earn Higher Salaries
178
1
Math in the 21st Century
178
5
Go for It!
183
1
Jump in and Take Action Now
183
2
Summary
184
1
References
185
3
Suggested Readings
188
1
Index
189
426
Part I Foundations: The Power of Mathematics
1
314
Arithmetic, Calculators, and Problem Solving
2
82
Math Anxiety
2
7
Formulating the Problem
9
9
Fractions and Decimals
18
11
Rounding and Estimation
29
5
Exponents and Prime Factorization
34
9
Common Fractions
43
10
Adding and Subtracting Fractions
53
10
Hindu-Arabic Numeration System
63
5
Different Numeration Systems
68
7
Summary and Review
75
9
Sets of Numbers
84
52
Symbol Shock
84
9
Addition of Integers
93
8
Subtraction of Integers
101
6
Multiplication of Integers
107
5
Division of Integers
112
4
Rational and Irrational Numbers
116
13
Summary and Review
129
7
Introduction to Algebra
136
50
Polynomials
136
7
Similar Terms
143
3
Simplification
146
5
Equations
151
8
Solving Equations
159
5
Problem Solving with Algebra
164
9
Inequalities
173
8
Summary and Review
181
5
Percents and Problem Solving
186
30
Ratio and Proportion
186
5
Problem Solving with Proportions
191
5
Percent
196
7
Problem Solving with Percents
203
8
Summary and Review
211
5
Introduction to Geometry
216
36
Euclidean Geometry
216
7
Polygons and Angles
223
5
Triangles
228
6
Similar Triangles
234
8
Summary and Review
242
10
Measurement and Problem Solving
252
63
Precision, Accuracy, and Estimation
252
7
Perimeter
259
7
Area
266
12
Volume and Capacity
278
10
Miscellaneous Measurements
288
7
Converting Units
295
10
Summary and Review
305
10
Part II Applications: The Utility of Mathematics
315
300
Applications of Percent
317
62
Discount, Sale Price, and Sales Tax
317
8
Simple Interest
325
8
Buying on Credit
333
8
Credit Card Interest
341
7
Compound Interest
348
11
Buying a Home
359
10
Summary and Review
369
10
Sets and Logic
379
48
Introduction to Sets
379
8
Subsets
387
4
Operations with Sets
391
6
Venn Diagrams
397
7
Survey Problems Using Sets
404
5
Inductive and Deductive Reasoning
409
9
Summary and Review
418
9
Probability
427
43
Introduction to Probability
427
13
Probability Models
440
7
Odds and Conditional Probability
447
6
Mathematical Expectation
453
11
Summary and Review
464
6
Statistics
470
50
Frequency Distributions and Graphs
470
15
Measures of Central Tendency
485
7
Measures of Position
492
4
Measures of Dispersion
496
8
The Normal Curve
504
5
Sampling
509
4
Summary and Review
513
7
Graphs
520
95
Ordered Pairs and the Cartesian Coordinate System
520
7
Functions
527
5
Lines
532
7
Systems and Inequalities
539
9
Graphing Curves
548
10
Summary and Review
558
7
APPENDICES
A. Glossary
565
18
B. Tables
583
3
I. Trigonometric Ratios
583
1
II. Monthly Cost to Finance $1,000
584
1
III. Mortality Table
585
1
C. Answers to Selected Problems
586
29
Index
615