The Heart of Mathematics: An Invitation to Effective Thinking, 4th Edition
December 2012, ©2013
Chapter 1: Fun and Games: An Introduction to Rigorous Thought
Chapter 2: Number Contemplation
Chapter 3: Infinity
Chapter 4: Geometric Gems
Chapter 5: Contortions of Space
Chapter 6: Modeling Our World Through Graphs
Chapter 7: Fractals and Chaos
Chapter 8: Taming Uncertainty
Chapter 9: Meaning from Data
Chapter 10: Deciding Wisely
- “For the Algebra Lover” Mindscapes in each section. These problems were added for students who want to practice their computational skills and for professors who prefer to integrate more algebra into this course.
- Chapter 6 on graph theory.
- Accessible, student-friendly writing style engages students to read and understand the concepts and encourages critical thinking.
- “Life Lessons” offer effective methods of thinking that students will retain and apply beyond the classroom.
- End-of-section Mindscape activities for the development of application, problem solving, and argumentation skills.
- Activities that encourage collaborative learning and group work like the hands-on manipulative kit that directs students to model their thinking and actively explore the world around them.
- “A Look Back” provide a review of concepts taught in that section
- Technology Icon located throughout the book indicates that there’s an interactive activity available online (e-manipulatives)
- Visual techniques that inspire students to model their thinking and actively explore the world around them.
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