Using and Understanding Mathematics: A Quantitative Reasoning Approach: Global Edition, 6th edition
Published by Pearson (November 6, 2014) © 2015
- Jeffrey O. Bennett University of Colorado Boulder
- William L. Briggs University of Colorado Denver
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Using and Understanding Mathematics: A Quantitative Reasoning Approach prepares students for the mathematics they will encounter in college courses, their future career, and life in general. Its quantitative reasoning approach helps students to build the skills needed to understand major issues in everyday life, and compels students to acquire the problem-solving tools that they will need to think critically about quantitative issues in contemporary society.
This program will provide a better teaching and learning experience—for you and your students. Here’s how:
- The real-world focus turns students’ attention to the math they will need for college, career, and life.
- A wide range of exercises and problem types end each unit, making it easy for instructors to create assignments to fit their course goals.
- Study and review features in every chapter are designed to help students use their time effectively.
New and Updated Features
- Each chapter now opens with an infographic and multiple-choice question designed to illustrate an important way in which the chapter content connects with the book themes of college, careers, and life.
- Because of the emphasis on quantitative reasoning in the real world, exercises have been updated to reflect the very latest in current data and trends. Many new exercises have been added along with significant revisions to the In Your World exercises.
- In all chapters, there are increased examples and exercises pertaining to vocational careers, taking into consideration the students who take this course. Students appreciate this relevancy and are more tuned in when they can see how the content relates to their future.
Content Updates
- Chapter 1 includes several significantly revised units. In particular, Unit 1A has been expanded to include a focus on evaluation of media information, and the authors rewrote portions of Units 1C and 1D to help students better understand and interpret Venn diagrams and tests of validity.
- Chapter 2 has been rewritten, so that basic ideas of units and systems of standardized units are now all covered in Unit 2A, while Unit 2B focuses on more sophisticated problem solving with units.
- Chapters 3 and 4 contain several units that revolve around economic data–such as Census data, the consumer price index, interest rates, taxes, and the federal budget–which required major updates given the changes in the United States economy in the four years since the previous edition was published.
- Chapters 5 and 6 focus on statistical data, so the authors updated or replaced large sections of the chapter content to reflect current information.
- Chapter 7 includes a significantly revised discussion of several key probability ideas to help students better understand them and to overcome misconceptions.
- Chapters 8 and 9 : units 8B, 8C, and 9C all rely heavily on population data, so these include significant revisions to reflect the 2010 U.S. Census and updated global demographic data.
- Chapter 12 is significantly rewritten, particularly in Units 12A and 12C, both to update the political data and to clarify key concepts, including those of preference schedules and redistricting
Preface
Acknowledgments
Prologue: Literacy for the Modern World
PART ONE: LOGIC AND PROBLEM SOLVING
1. Thinking Critically
1A Living in the Media Age
1B Propositions and Truth Values
1C Sets and Venn Diagrams
1D Analyzing Arguments
1E Critical Thinking in Everyday Life
2. Approaches to Problem Solving
2A Working with Units
2B Problem-Solving with Units
2C Problem-Solving Guidelines and Hints
PART TWO: QUANTITATIVE INFORMATION IN EVERYDAY LIFE
3. Numbers in the Real World
3A Uses and Abuses of Percentages
3B Putting Numbers in Perspective
3C Dealing with Uncertainty
3D Index Numbers: The CPI and Beyond
3E How Numbers Can Deceive: Polygraphs, Mammograms, and More
4. Managing Money
4A Taking Control of Your Finances
4B The Power of Compounding
4C Savings Plans and Investments
4D Loan Payments, Credit Cards, and Mortgages
4E Income Taxes
4F Understanding the Federal Budget
PART THREE: PROBABILITY AND STATISTICS
5. Statistical Reasoning
5A Fundamentals of Statistics
5B Should You Believe a Statistical Study?
5C Statistical Tables and Graphs
5D Graphics in the Media
5E Correlation and Causality
6. Putting Statistics to Work
6A Characterizing Data
6B Measures of Variation
6C The Normal Distribution
6D Statistical Inference
7. Probability: Living with the Odds
7A Fundamentals of Probability
7B Combining Probabilities
7C The Law of Large Numbers
7D Assessing Risk
7E Counting and Probability
PART FOUR: MODELING
8. Exponential Astonishment
8A Growth: Linear versus Exponential
8B Doubling Time and Half-Life
8C Real Population Growth
8D Logarithmic Scales: Earthquakes, Sounds, and Acids
9. Modeling Our World
9A Functions: The Building Blocks of Mathematical Models
9B Linear Modeling
9C Exponential Modeling
10. Modeling with Geometry
10A Fundamentals of Geometry
10B Problem Solving with Geometry
10C Fractal Geometry
PART FIVE: FURTHER APPLICATIONS
11. Mathematics and the Arts
11A Mathematics and Music
11B Perspective and Symmetry
11C Proportion and the Golden Ratio
12. Mathematics and Politics
12A Voting: Does the Majority Always Rule?
12B Theory of Voting
12C Apportionment: The House of Representatives and Beyond
12D Dividing the Political Pie
Credits
Answers
Index
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