Second Edition   ©2015

Quantitative Literacy

Thinking Between the Lines

Bruce Crauder (Oklahoma State University) , Benny Evans (Oklahoma State University) , Jerry Johnson (University of Nevada, Reno) , Alan Noell (Oklahoma State University)

  • ISBN-10: 1-4641-2512-0; ISBN-13: 978-1-4641-2512-6; Format: Cloth Text, 752 pages

 CHAPTER 1 CRITICAL THINKING

 1.1 Public policy and Simpson’s paradox: Is “average” always average?
 1.2 Logic and informal fallacies: Does that argument hold water?
 1.3 Formal logic and truth tables: Do computers think?
 1.4 Sets and Venn diagrams: Pictorial logic
 1.5 Critical thinking and number sense: What do these figures mean?
 
CHAPTER 2 ANALYSIS OF GROWTH

 2.1 Measurements of growth: How fast is it changing?
 2.2 Graphs: Picturing growth
 2.3 Misleading graphs: Should I believe my eyes?
 
CHAPTER 3 LINEAR AND EXPONENTIAL CHANGE: COMPARING GROWTH RATES

 3.1 Lines and linear growth: What does a constant rate mean?
 3.2 Exponential growth and decay: Constant percentage rates
 3.3 Logarithmic phenomena: Compressed scales
 3.4 Quadratics and parabolas: Foci, vertices, and optimization

CHAPTER 4 PERSONAL FINANCE

 4.1 Saving money: The power of compounding
 4.2 Borrowing: How much car can you afford?
 4.3 Saving for the long term: Build that nest egg
 4.4 Credit cards: Paying off consumer debt
 4.5 Inflation, taxes, and stocks: Managing your money
 
CHAPTER 5 INTRODUCTION TO PROBABILITY

 5.1 Calculating probabilities: How likely is it?
 5.2 Medical testing and conditional probability: Ill or not?
 5.3 Counting and theoretical probabilities: How many?
 5.4 More ways of counting: Permuting and combining
 5.5 Expected value and the law of large numbers: Don’t bet on it
 
CHAPTER 6 STATISTICS

6.1 Data summary and presentation: Boiling down the numbers
6.2 The normal distribution: Why the bell curve?
6.3 The statistics of polling: Can we believe the polls?
6.4 Statistical inference and clinical trials: Effective drugs?
 
 CHAPTER 7 GRAPH THEORY

7.1 Modeling with graphs and Euler circuits: Finding efficient routes
7.2 Hamilton circuits and traveling salesmen: Efficient routes
7.3 Trees: Viral e-mails and spell checkers
 
CHAPTER 8 VOTING AND SOCIAL CHOICE

 8.1 Measuring voting power: Does my vote count?
 8.2 Voting systems: How do we choose a winner?
 8.3 Fair division: What is a fair share?
 8.4 Apportionment: Am I represented?
 
CHAPTER 9 GEOMETRY

9.1 Perimeter, area, and volume: How do I measure?
9.2 Proportionality and similarity: Changing the scale
9.3 Symmetries and tilings: Form and patterns

APPENDIX 1 Unit Conversion
APPENDIX 2 Exponents and Scientific Notation
APPENDIX 3 Calculators, Parentheses, and Rounding 
APPENDIX 4 Basic Math
APPENDIX 5 Problem Solving