The Heart of Mathematics: An Invitation to Effective Thinking, 4th Edition
By Edward B. Burger, Michael Starbird
WileyPLUS adds the freedom and flexibility of a modern resource platform to The Heart of Mathematics: An Invitation to Effective Thinking, adding clarity to examples through interactive animations and 3D images and the capability of online homework. With the help of WileyPLUS, The Heart of Mathematics succeeds at reaching non-math, non-science-oriented majors, encouraging them to discover the mathematics inherent in the world around them. Infused with the authors’ humor and enthusiasm throughout, this book introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.
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Newly Authored Interactive “eManipulative” Explorations coded by GeoGebra
Students can visualize concepts in these interactive examples of key topics throughout the text which allow for real-time modification.
3D images bring concepts to life
Integrated throughout the Collaborative eTextbook, vivid 3D images help to promote a more visual learning experience.
- 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 promote the development of application, problem solving, and argumentation skills.
- Activities that encourage collaborative learning and group work like the hands-on manipulative kit direct students to model their thinking and actively explore the world around them.
- “A Look Back” provides a review of concepts taught in that section.
- Technology Icons located throughout the book indicate an interactive activity available online (e-manipulatives).
- Visual techniques inspire students to model their thinking and actively explore the world around them.
- WileyPLUS for The Heart of Mathematics: An Invitation to Effective Thinking, 4th Edition provides a research-based, online environment for effective teaching and learning. WileyPLUS builds students’ confidence because it takes the guesswork out of studying by providing students with a clear roadmap: what to do, how to do it, if they did it right.
What’s New
EDWARD B. BURGER
Edward B. Burger is the Francis Christopher Oakley Third Century Professor of Mathematics at Williams College and most recently served as Vice Provost for Strategic Educational Initiatives at Baylor University. He is the author of over 60 research articles, books, and video series (starring in over 3,000 on-line videos). The Mathematical Association of America honored him on several occasions: He received the 2001 Deborah and Franklin Tepper Haimo National Award for Distinguished Teaching of Mathematics; he was named the 2001-2003 Pólya Lecturer; in 2004 he was awarded the Chauvenet Prize and in 2006 he was a recipient of the Lester R. Ford Prize. In 2006, Reader’s Digest listed Burger in their annual “100 Best of America” as America’s Best Math Teacher. In 2010 he was named the winner of the 2010 Robert Foster Cherry Award for Great Teaching – the largest and most prestigious prize in higher education teaching across all disciplines in the English-speaking world. Also in 2010 he won a Telly Award for his appearance in “Mathletes” for NBC-TV as part of their Winter Olympic coverage. The Huffington Post named him one of their 2010 Game Changers; “HuffPost’s Game Changers salutes 100 innovators, visionaries, mavericks, and leaders who are reshaping their fields and changing the world.” Most recently in 2012, Microsoft Worldwide Education selected him as one of their “Global Heroes in Education.” In 2013 Burger was inducted as a Fellow of the American Mathematical Society.
MICHAEL STARBIRD
Michael Starbird is a University Distinguished Teaching Professor of Mathematics at The University of Texas at Austin. He has been at UT his whole career except for leaves, including as a Visiting Member of the Institute for Advanced Study in Princeton, New Jersey and a member of the technical staff of the Jet Propulsion Laboratory in Pasadena, California. He has received more than a dozen teaching awards including the Mathematical Association of America’s 2007 Deborah and Franklin Tepper Haimo National Award for Distinguished Teaching of Mathematics, the Texas statewide Minnie Stevens Piper Professor award, the UT Regents’ Outstanding Teaching Award (in the inaugural year of the award), and most of the UT-wide teaching awards including the Jean Holloway Award for Excellence in Teaching, the Friar Centennial Teaching Fellowship, the Chad Oliver Plan II Teaching Award, the President’s Associates Teaching Excellence Award, the Dad’s Association Centennial Teaching Fellowship, the Eyes of Texas Excellence Award (twice), and others. He is a member of UT’s Academy of Distinguished Teachers. He has produced DVD courses for The Teaching Company in the Great Courses Series on calculus, statistics, probability, geometry, and the joy of thinking and has given hundreds of lectures and workshops. In 2013 Starbird was inducted as a Fellow of the American Mathematical Society..
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