Quantitative Literacy, Digital Update

Thinking Between the Lines

Third Edition

Publication Date: February 15, 2023

Paperback ISBN: 9781319244460

Pages: 744

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Transform students into informed consumers of the quantitative information they encounter every day.

Quantitative Literacy: Thinking Between the Lines fully prepares students to be informed consumers of quantitative information with coverage that neatly balances discussions of ideas with computational practice. Through a wide range of examples and applications, the authors show...

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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

In the News
Each chapter and section begins with real articles gleaned from newspapers, magazines, and websites, which naturally lead to discussions of math in everyday life.

Try It Yourself
Many worked examples are followed by a very similar problem that gives students the opportunity to test their understanding. Answers to these exercises are provided at the end of each textbook section.

Writing About Mathematics
Textbook exercises that challenge students to seek answers beyond the textbook. These exercises are suitable for reports, group work, or other activities that engage students in deeper thinking.

What Do You Think?
The final part of each exercise set are What Do You Think? exercises, which are open-ended questions that encourage students to apply their critical thinking skills as well as their verbal and written skills.

Rule of Thumb Statements
This feature provides hints on making “ballpark” estimates without appealing to complicated formulas for exact answers.

Algebraic Spotlights
Explanations of algebraic skills that may be beyond the scope of the course. Provided for instructors to use at their discretion.

Quick Review
Math refreshers provided at key places in the textbook.

New Online—Achieve
Achieve offers a comprehensive set of interconnected teaching and assessment tools in a single, easy-to-use platform. In Achieve for Quantitative Literacy:

LearningCurve adaptive quizzing encourages students to read the text with a question in mind and test their own comprehension.

Homework exercises in Achieve feature built-in coaching tools—detailed and error-specific feedback, hints, and fully worked solutions—meant to guide students toward the correct answers and a deeper conceptual understanding. Instructors can create their own questions or choose from the Achieve question library, which includes a significant number of the questions from the text.

New! Active learning resources, including clicker questions and easy-to-implement Instructor Activity Guides, help foster student engagement in any type of class. Student access to the iClicker app is included for free with Achieve.

MathClips, step-by-step whiteboard-style videos, help students visualize key concepts by showing worked solutions to problems similar to those in the text. In Achieve, they are newly accompanied by assessment questions where students can apply the skills demonstrated in the videos.

Updated! Dynamic Activities provide interactive examples that let the student manipulate figures based on the text in order to better understand the visual aspects and dimensions of the concepts being presented. Achieve includes updated versions powered by Desmos.

New in the Text
Revision and updates to the content across chapters. Examples and exercises have been updated with a focus on current events.

Bruce Crauder

Bruce Crauder received his B.A. from Haverford College and his M.S. and Ph.D. from Columbia University. After post-doctoral positions at the Institute for Advanced Study, the University of Utah, and the University of Pennsylvania, Crauder came to Oklahoma State University, where he is now Professor of Mathematics and Associate Dean. Crauder’s research in algebraic geometry has resulted in 10 refereed articles in as many years in his specialty, three-dimensional birational geometry.

Benny Evans

Benny Evans received his Ph.D. in mathematics from the University of Michigan. He is currently Professor of Mathematics at Oklahoma State University, where he has served as undergraduate director, associate head, and department head. He has held visiting appointments at the Institute for Advanced Study, Rice University, and Texas A&M. His research interests are topology and mathematics education.

Jerry Johnson

Jerry Johnson received his B.S. in Mathematics from Oklahoma State University and his Ph.D. in Mathematics from the University of Illinois, Urbana. He was on the faculty of Oklahoma State University from 1969 until 1993, when he moved to the University of Nevada, Reno to become director of their Math Center and Math Across the Curriculum Project. From 1995 to 2001 he was chairman of the Department of Mathematics. He has received fifteen funded grants, including seven from the National Science Foundation. He has published 17 refereed papers in mathematics research journals and 36 papers in various journals and conference proceedings related to mathematics education. He is the author of GyroGraphics, a mathematics software package for which he received the EDUCOM Distinguished Mathematics Software award in 1991.

Alan Noell

Alan Noell has a B.A. degree in Mathematics from Texas A&M University, and M.A. and Ph.D. degrees in Mathematics from Princeton University. After a postdoctoral position at CalTech, in 1985 he joined the faculty at Oklahoma State University, where he is now Professor of Mathematics. His research interests are in the area of several complex variables. He has also enjoyed working in the area of curriculum development. His work has been supported by the National Science Foundation and other sources.

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