Navigation Guide for Navigating Through Mathematics

For courses in liberal arts mathematics.

Putting Students at the Helm

Navigating Through Mathematics is an innovative liberal arts mathematics program that requires students to take control of their own learning. The relatable voices of authors Alicia Collins and Denise Nunley shine through in the course's examples and videos to give students an engaging, enjoyable learning experience. The relevant and personalized content reduces math anxiety and empowers students to navigate through the course successfully. This digital program harnesses the power of MyMathLab and offers an abundance of opportunities for students to interact with the math, learn content in a non-intimidating environment, and test their understanding at point-of-use.

Also Available with MyMathLab ^®

This text was built in MyMathLab, an online homework, tutorial, and assessment program designed to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and engage with a variety of media resources that help them absorb course material and understand difficult concepts.

Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. Students, if interested in purchasing this title with MyMathLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. 

If you would like to purchase both the physical text and MyMathLab, search for:

Package consists of:

• 0321838688 / 9780321838681 * Navigating Through Mathematics Access Card
• 0321844181 / 9780321844187 * Navigation Guide for Navigating Through Mathematics

Alicia Collins has a BS in Mathematics from Arizona State University and a Masters in Mathematics Education from Northern Arizona University. She taught high school mathematics for 8 years at Paradise Valley High School and moved on to Maricopa Community College District in 2005. She is currently on the mathematics faculty at Mesa Community College in Mesa, AZ. Alicia is married with three children.

Denise Nunley has a BS in Mathematics from University of Nevada—Reno and a Masters in Curriculum and Instruction from Northern Arizona University. She taught high school mathematics for 6 years at Paradise Valley High School before pursuing a PhD in mathematics education from Arizona State University, where she was both a research assistant and a teaching assistant for pre-service secondary mathematics teachers. ABD in her PhD program, Denise was hired on with Maricopa Community College District, where she has been on the mathematics faculty for the past 10 years, both at Glendale Community College and at Scottsdale Community College - her current position - in Arizona where she lives with her two children. She is currently involved in a NSF grant working with professional development for middle school teachers.

Module 1 — Logic

1.1 Statements, Quantifiers, and Connectives

1.2 Truth Tables

1.3   Truth Tables for the Conditional and the Biconditional

1.4 Equivalent Statements

1.5 Analyzing Logical Arguments

1.6 Euler Diagrams

Module 2 — Numeration

2.1 Early and Modern Numeration Systems

2.2 Base Number Systems

2.3 Computation in Other Bases

2.4 Early Computational Methods

Module 3 — Sets

3.1 Basic Set Concepts

3.2 Subsets

3.3 Set Operations and Venn Diagrams: Two Sets

3.4 Set Operations and Venn Diagrams: Three Sets

Module 4 — Probability

4.1 The Fundamental Counting Principle and Permutations

4.2 Combinations

4.3 Fundamentals of Probability

4.4 Compound Probabilities

4.5 Expected Value

4.6 Solving Probability Problems with Combinations

4.7 Conditional Probability

Module 5 — Voting and Apportionment

5.1 Voting Methods

5.2 Flaws in Voting Methods

5.3 Apportionment Methods

5.4 Flaws in Apportionment Methods

Module 6 - Statistics

6.1 Sampling, Frequency Distributions, and Graphs

6.2 Measures of Central Tendency

6.3 Measures of Variation

6.4 The Normal Distribution

Module 7 — Consumer Mathematics and Finance

7.1 Percent and Percent Change

7.2 Simple interest

7.3 Compound interest

7.4 Annuities

7.5 Installment Loans and Mortgages

Module 8 — Geometry and Measurement

8.1 Dimensional Analysis:  Length, Weight and Time

8.2 Unit Analysis:  Area, Volume, and Temperature

8.3 Triangles

8.4 Polygons, Perimeter, and Circumference

8.5 Areas of Polygons and Circles

8.6 Volume and Surface Area

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