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LOOSE LEAF Math in Our World: A Quantitative Reasoning Approach

ISBN10: 1260727866 | ISBN13: 9781260727869

LOOSE LEAF Math in Our World: A Quantitative Reasoning Approach
ISBN10: 1260727866
ISBN13: 9781260727869
By David Sobecki and Brian Mercer

* The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

Instructor Information

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This text exercises students’ brains by challenging them to LEARN, not memorize formulas or mimic procedures. Students will practice reasoning skills and study situations where mathematical thinking can help them be smarter and more successful, both as students and as citizens of society. This text is comprised of a series of activities encouraging students to take responsibility for their learning, with strategically placed solved examples and support to guide them through concepts they may have a hard time discovering on their own.

Unit 1. Mathematical Reasoning and Problem Solving
Lesson 1-1: Inductive and Deductive Reasoning
Lesson 1-2: Estimation and Interpreting Graphs
Lesson 1-3: Problem-Solving Strategies

Unit 2. Consumer Math
Lesson 2-1: Review of Percents
Lesson 2-2: Budgeting
Lesson 2-3: Simple Interest
Lesson 2-4: Compound Interest
Lesson 2-5: Installment Buying
Lesson 2-6: Education and Home Loans
Lesson 2-7: Stocks and Bonds
Lesson 2-8: Income Taxes

Unit 3. Probability
Lesson 3-1: Basic Probability
Lesson 3-2: Sample Spaces and Counting Techniques
Lesson 3-3: Combinatorics
Lesson 3-4: Probability Using Counting Techniques
Lesson 3-5: Odds and Expected Value
Lesson 3-6: Addition Rules for Probability
Lesson 3-7: Multiplication Rules and Conditional Probability
Lesson 3-8: Binomial Probabilities

Unit 4. Statistics
Lesson 4-1: Gathering and Organizing Data
Lesson 4-2: Representing Data Graphically
Lesson 4-3: Measures of Average
Lesson 4-4: Measures of Variation
Lesson 4-5: Measures of Position in a Data Set
Lesson 4-6: Normal Distributions and Z Scores
Lesson 4-7: Applications of the Normal Distribution
Lesson 4-8: Correlation and Regression Analysis
Lesson 4-9: Misuses of Statistics

Unit 5. Math Modeling
Lesson 5-1: Ratios and Proportions
Lesson 5-2: The Basics of Graphing Functions
Lesson 5-3: Modeling with Linear Functions
Lesson 5-4: Modeling with Quadratic Functions
Lesson 5-5: Linear and Quadratic Regression
Lesson 5-6: Modeling with Exponential and Log Functions

Unit 6. Set Theory
Lesson 6-1: The Basics of Working with Sets
Lesson 6-2: Operations on Sets
Lesson 6-3: Studying Sets with Two-Circle Venn Diagrams
Lesson 6-4: Using Sets to Solve Problems

Unit 7. Logic
Lesson 7-1: Statements and Quantifiers
Lesson 7-2: Truth Tables
Lesson 7-3: Types of Statements in Logic
Lesson 7-4: Evaluating Logical Arguments

Unit 8. Measurement
Lesson 8-1: Unit Conversion, Length, and the Metric System
Lesson 8-2: Measuring Area, Volume, and Capacity
Lesson 8-3: Units of Weight and Temperature
Lesson 8-4: Evaluating Efficiency in Packaging

Unit 9: Voting Methods (ONLINE ONLY)

Unit 10: Graph Theory (ONLINE ONLY)

Unit 11: Numeration Systems (ONLINE ONLY)

About the Author

David Sobecki

I was born and raised in Cleveland, and started college at Bowling Green State University in 1984 majoring in creative writing. Eleven years later, I walked across the graduation stage to receive a PhD in math, a strange journey indeed. After two years at Franklin and Marshall College in Pennsylvania, I came home to Ohio, accepting a tenure-track job at the Hamilton campus of Miami University. I’ve won a number of teaching awards in my career, and while maintaining an active teaching schedule, I now spend an inordinate amount of time writing textbooks and course materials. I’ve written or co-authored either seven or twelve textbooks, depending on how you count them, as well as several solutions manuals and interactive CD-ROMS.After many years as developmental math coordinator at Miami Hamilton, I share the frustration that goes along with low pass rates in the developmental math curriculum. Far too many students end up on the classic Jetson’s-style treadmill, with the abstract nature of the traditional algebra curriculum keeping them from reaching their goals. Like so many instructors across the country, I believe the time is right to move beyond the one-size-fits-all curriculum that treats students the same whether they hope to be an engineer or a pastry chef. “Because we’ve always done it that way” is NOT a good reason to maintain the status quo in our curriculum. Let’s work together to devise alternate pathways that help students to learn more and learn better while hastening their trip into credit-bearing math courses. Since my book (Math in Our World) is written for the Liberal Arts Math and Quantitative Literacy market, I think I’m in the right place at the right time to make a difference in the new and exciting pathways course.I’m in a very happy place right now: my love of teaching meshes perfectly with my childhood dream of writing. (Don’t tell my publisher this – they think I spend 20 hours a day working on textbooks – but I’m working on my first novel in the limited spare time that I have.) I’m also a former coordinator of Ohio Project NExT, as I believe very strongly in helping young college instructors focus on high-quality teaching as a primary career goal. I live in Fairfield, Ohio with my lovely wife Cat and fuzzy dogs Macleod and Tessa. When not teaching or writing, my passions include Ohio State football, Cleveland Indians baseball, heavy metal music, travel, golf, and home improvement.

Brian Mercer

I can say without a doubt that I was made to be in a classroom. I followed the footsteps of my father, a 35-year middle school math teaching veteran, into this challenging yet rewarding career. My college experience began as a community college student at Lakeland College in Mattoon, Illinois. From there, I received a Bachelor of Science in Mathematics from Eastern Illinois University and a Master of Science in Mathematics from Southern Illinois University. I accepted a tenure-track faculty position at Parkland College, where I have taught developmental and college-level courses for 15 years. I had the opportunity to begin writing textbooks shortly after I started teaching at Parkland. My then department chair and mentor, James W. Hall, and I co-authored several textbooks in Beginning and Intermediate Algebra.In the fall of 2011, our department began discussing the idea of creating two tracks through our beginning and intermediate algebra courses. The idea stemmed from two issues. First, most of our beginning and intermediate algebra students were headed to either our Liberal Arts Math or our Introduction to Statistics course. Second, we wanted to beef up intermediate algebra to better prepare those students who were headed to college algebra. These were two competing ideas! Increasing the algebraic rigor of these courses seemed to “punish” students who were not heading to college algebra. With the two track system, we implemented a solution that best serves both groups of students.I have to admit that I was initially concerned that offering an alternate path through developmental mathematics for students not planning to take college algebra would lead to a lowering of standards. However, my participation in our committee investigating this idea led me to believe it was possible to offer a rigorous course that was exceedingly more appropriate for this group of students. Since there were no materials for the course, I began creating my own and was paired by McGraw Hill with Dave Sobecki. Together, we have created the material that I have been using for class testing. After a semester and a half of piloting these materials and seeing the level of enthusiasm and engagement in the mathematical conversations of my students, I am now convinced that this is an ideal course to refine and offer. As a trusted colleague told me, “this is just a long overdue idea.”Outside of the classroom and away from the computer, I am kept educated, entertained and ever-busy my wonderful wife, Nikki, and our two children, Charlotte, 6 and Jake, 5. I am an avid St. Louis Cardinals fan and enjoy playing recreational softball and golf in the summertime with colleagues and friends.

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