Quantitative Literacy, Digital Update Thinking Between the Lines

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?

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?

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

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

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

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?

7 Graph Theory

• 7.1 Modeling With Graphs and Finding Euler Circuits
• 7.2 Hamilton Circuits and Traveling Salesmen: Efficient Routes
• 7.3 Trees: Viral E-mails and Spell Checkers

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?

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

Appendices

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

Answers

Credits

Index

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