Mathematics in Action: An Introduction to Algebraic, Graphical, and Numerical Problem Solving, Sixth Edition

A College Algebra Text Built Around Doing the Math

Mathematics in Action: An Introduction to Algebraic, Graphical, and Numerical Problem Solving is a foundation mathematics textbook that treats algebra as a practical, connected way of thinking. Rather than leading with abstract rules, the sixth edition asks students to work through real contexts, organize information, draw pictures, recognize patterns, and explain solutions in complete sentences. The result is a course that develops algebraic skill alongside communication and reasoning.

What the Sixth Edition Covers

The opening chapters move from number sense to variable sense and then to function sense. Students work with fractions, decimals, ratios, percents, proportional reasoning, growth and decay, unit analysis, signed numbers, formulas, algebraic expressions, linear equations, and graphical and numerical representations. Activity titles such as The Bookstore, Top Chef, Fuel Economy, Blood Alcohol Levels, and College Expenses show how the material anchors mathematical ideas in everyday and professional contexts.

How the Material Is Organized

The book is arranged in clusters of activities and projects. Each cluster is designed to build understanding through guided practice, and each chapter includes review and practice sections.

• Number Sense: problem-solving strategies, properties of arithmetic, fractions, decimals, ratios, proportional reasoning, percent change, rates, and signed numbers.
• Variable Sense: symbolic rules, algebraic expressions, equivalent expressions, solving equations, proportions, and linear models.
• Function Sense and Linear Functions: input-output relationships, function notation, domain and range, and graphical analysis.
• Projects and review features: contextual projects such as Course Grades and Your GPA and Summer Job Opportunities, plus What Have I Learned? and How Can I Practice? sections.

Who This Textbook Is For

This sixth edition is suited to college students in developmental, foundation, or introductory algebra courses. It is also useful for instructors who want an activity-driven curriculum that connects numerical, graphical, and algebraic approaches. The consortium model behind the book reflects collaboration among mathematics educators, and the material is designed to support students who benefit from seeing concepts developed through multiple representations.

Why the Activity-Based Approach Matters

Algebra becomes more durable when students can move between a table, a graph, a formula, and a written explanation. Mathematics in Action builds those connections chapter by chapter, giving learners repeated chances to interpret results, justify reasoning, and use mathematics in context. For courses that emphasize problem solving over rote procedure, this edition offers a structured and substantial resource.