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This item has been replaced by Using & Understanding Mathematics: A Quantitative Reasoning Approach, 7th Edition

Using and Understanding Mathematics: A Quantitative Reasoning Approach, 6th Edition

Jeffrey O. Bennett, University of Colorado at Boulder

William L. Briggs, University of Colorado, Denver

©2015 | Pearson

Format   Cloth
ISBN-13:  9780321914620
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This item has been replaced by Using & Understanding Mathematics: A Quantitative Reasoning Approach, 7th Edition

Using and Understanding Mathematics: A Quantitative Reasoning Approach

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Overview

Description

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:

  • Improved results with MyMathLab®, which is designed to work hand-in-hand with the book and offers additional practice and learning aids that improve student learning in measurable ways.
  • 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.

 

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for:

0321923219 / 9780321923219 Using and Understanding Mathematics: A Quantitative Reasoning Approach plus NEW MyMathLab with Pearson eText -- Access Card Package

Package consists of:   

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321914627 / 9780321914620 Using and Understanding Mathematics: A Quantitative Reasoning Approach 6/e

Features

  • Improved results with MyMathLab®, which is designed to work hand-in-hand with the book and offers additional practice and learning aids that improve student learning in measurable ways.
    • Three MyMathLab course options are now available:
      • The Standard MyMathLab course allows instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation. 
      • NEW! A Ready to Go course provides students with all the same great MyMathLab features, but makes it easier for instructors to get started, with pre-made and pre-assigned homework and quizzes.
      • NEW! An Integrated Review MyMathLab course option provides embedded review of select topics. Assignments are also pre-assigned in this course, including a Skills Check quiz on prerequisite skills needed at the chapter level. Students who need additional review can use the etext, videos, and Integrated Review worksheets of the developmental topics to remediate before moving on to the collegiate content.
    • Application exercises from the homework sets, which correlate to chapter and section opening applications, are assignable in MyMathLab.
    • NEW!  A Getting Ready section at the start of the Standard or Ready to Go MyMathLab courses allows you to test on prerequisite knowledge for the course, helping students to refresh forgotten concepts. These Getting Ready exercises are based on the Brief Review features from the text.
    • NEW! In Your World Videos are available in the MyMathLab course, based on the In Your World features from the text. These videos are intended to engage students and show the relevancy of the math in daily life.
    • Video lectures have been updated where appropriate, and cover important definitions, procedures and concepts from each section by working through examples and exercises from the textbook. Videos have optional captions.
    • NEW! Electronic flashcards enable students to review definitions, properties and theorems in a fun online format.
    • A bonus unit on Mathematics and Business is available in MyMathLab for instructors who wish to cover this topic.
    • The Image library contains all art from the text for instructors to use in their own presentations and handouts.
    • Live RSS feeds from news sources such as ABC News are available so that instructors and students have access to regular news updates. These articles can be used in class discussions and projects, as appropriate.
    • TI technology tips are aligned with the location in the textbook in terms of the specific section and page number.
  • The real-world focus turns students’ attention to the math they will need for their daily lives, and keeps them engaged during the course.
    • The table of contents is organized by real-world context, not by mathematical content. Interesting, applicable coverage appears throughout, like Unit 4A: Taking Control of Your Finances, Chapter 11: Mathematics and the Arts, and Unit 12D: Dividing the Political Pie.
    • The modular organization makes the text flexible, allowing instructors to teach the topics they want to teach. Chapters are divided into self-contained units that can be rearranged if desired.
    • A hands-on Activity begins each chapter so that students are engaged from page one. Activities ask students to step through practical applications of the math, for example, using dice to simulate the chances of spreading disease in a population. The activities also open the chapters with a multiple-choice question and infographic designed to illustrate an important way in which the chapter content connects with the book themes of college, careers, and life.
    • A full online Activity Manual appears in MyMathLab for those who wish to do more activities in the course. The Activity Manual is correlated to the textbook and activities can be completed by students individually or in a group. Instructor notes with background information and discussion points are included.
    • In Your World boxes focus on topics that students are likely to encounter in the world around them, whether in the news, in consumer decisions, or in political discussions. Examples include topics such as how to invest money in a sensible way and how the chained consumer price index (CPI) differs from the standard CPI. This is further enhanced with a section of In Your World exercises in the exercise sets and NEW videos in MyMathLab.
    • Notes in the margin—By the Way, Historical Notes, and Technical Notes— are brief asides, providing historical context, cautions, and general notes of interest related to Unit concepts.
    • Using Technology features demonstrate how to use a graphing calculator, Excel®, or other software when applying math concepts. For example, students use their calculators to build a savings plan and see its effect over time.
  • A wide range of exercises and problem types end each unit, making it easy for instructors to create assignments to fit their course goals.
    • Does It Make Sense? questions are qualitative exercises that test conceptual understanding by asking whether given statements are sensible, and then asking students to explain why or why not.
    • Basic Skills and Concepts cover concepts from the unit and provide exercises that can be used for homework assignments or for self-study. Answers to most odd-numbered exercises appear in the back of the book.
    • Applications Exercises include updated current data for increased relevance for students.
    • Web Projects require students to search for data or other information online. These can be used for extended projects, discussions, group activities, or essays.
    • In Your World Exercises challenge students to find examples of unit concepts in the news or in their daily lives. These questions may be assigned as homework or used for class discussions.
    • Technology Exercises provide students an opportunity to practice skills with a graphing calculator, Excel®, or other software they might normally use.
  • Study and review features in every chapter are designed to help students use their time effectively.
    • Quick Quizzes appear before the problem sets, offering ten questions for students to briefly check their understanding of the unit’s concepts before attempting the homework.
    • Brief Reviews throughout the units summarize key mathematical skills that students should have learned previously. These appear wherever a particular skill is first needed, and exercises based on the review boxes can be found at the end of the unit. These can be skipped if students already have a firm grasp of the requisite skill.
    • Now Try exercise references appear at the end of every example and direct students to a specific exercise, immediately testing their comprehension of the material.
    • Time Out to Think appears throughout the book and poses short conceptual questions designed to help students reflect on important new ideas. These also serve as excellent starting points for classroom discussions.
    • Thinking About features build on the main narrative and are designed to encourage a deeper level of mathematical understanding. Examples include the proof of the Pythagorean Theorem and Zeno's paradox.
    • Art Annotations enhance the figures, improving their effectiveness as learning tools.

 

New to This Edition

New in MyMathLab

  • Three MyMathLab® course options are now available:
    • The Standard MyMathLab course allows instructors to build their course their way, offering maximum flexibility and control over all aspects of assignment creation. 
    • NEW! A Ready to Go course provides students with all the same great MyMathLab features, but makes it easier for instructors to get started, with pre-made and pre-assigned homework and quizzes.
    • NEW! An Integrated Review MyMathLab course option provides embedded review of select topics from developmental algebra. Assignments are also pre-assigned in this course, including a Skills Check quiz on prerequisite skills needed at the chapter level. Students who need additional review can use videos and Integrated Review worksheets to remediate before moving onto the collegiate content.
  • A Getting Ready section at the start of the MyMathLab course allows you to test on prerequisite knowledge for the course, helping students to refresh forgotten concepts. These Getting Ready exercises are based on the Brief Review features from the text.
  • UPDATED! Assignable exercises from the homework sets apply the math concepts to a real-world situation, using excerpts from current news articles.
  • NEW! In Your World videos are available in the MyMathLab course, based on the In Your World features from the text. These animations are intended to engage students and show the relevancy of the math in daily life.

 

 

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.

 

Table of Contents

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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  • Using and Understanding Mathematics: A Quantitative Reasoning Approach, 6th Edition

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About the Author(s)

Jeffrey Bennett specializes in mathematics and science education. He has taught at every level from pre-school through graduate school, including more than 50 college courses in mathematics, physics, astronomy, and education. His work on Using and Understanding Mathematics began in 1987, when he helped create a new mathematics course for the University of Colorado’s core curriculum. Variations on this course, with its quantitative reasoning approach, are now taught at hundreds of colleges nationwide. In addition to his work in mathematics, Dr. Bennett (whose PhD is in astrophysics) has written leading college-level textbooks in astronomy, statistics, and the new science of astrobiology, as well as books for the general public. He also proposed and developed both the Colorado Scale Model Solar System on the University of Colorado at Boulder campus and the Voyage Scale Model Solar System, a permanent, outdoor exhibit on the National Mall in Washington, DC. He has recently begun writing science books for children, including the award-winning Max Goes to the Moon and Max Goes to Mars. When not working, he enjoys swimming as well as hiking the trails of Boulder, Colorado with his family.

 

William L. Briggs has been on the mathematics faculty at the University of Colorado at Denver for 22 years. He teaches numerous courses within the undergraduate and graduate curriculum, and has special interest in teaching calculus, differential equations, and mathematical modeling. He developed the quantitative reasoning course for liberal arts students at University of Colorado at Denver supported by his textbook Using and Understanding Mathematics. He has written two other tutorial monographs, The Multigrid Tutorial and The DFT: An Owner's Manual for the Discrete Fourier Transform, as well as Ants, Bikes, Clocks, a mathematical problem-solving text for undergraduates. He is a University of Colorado President's Teaching Scholar, an Outstanding Teacher awardee of the Rocky Mountain Section of the MAA, and the recipient of a Fulbright Fellowship to Ireland. Bill lives with his wife, Julie, and their Gordon setter, Seamus, in Boulder, Colorado. He loves to bake bread, run trails, and rock climb in the mountains near his home.

 

Previous editions

book cover

Using and Understanding Mathematics: A Quantitative Reasoning Approach, 5th Edition

Bennett & Briggs

©2011

  Cloth

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