The Heart of Mathematics

Author: Edward B. Burger
Publisher: Springer Science & Business Media
ISBN: 1931914419
Release Date: 2005
Genre: Mathematics

The Heart of Mathematics addresses the big ideas of mathematics (many of which are cutting edge research topics) in a non-computational style intended to be both read and enjoyed by students and instructors, as well as by motivated general readers. It features an engaging, lively, humorous style full of surprises, games, mind-benders, and all without either sacrificing good mathematical thought or relying on mathematical computation or symbols. The authors are award-winning authors, holding awards such as: Distinguished Teaching Award (Burger, from the Mathematical Association of America); Chauvenet Prize (the best expository mathematics writer in the world, Burger, from the MAA) and many others.

The Heart of Mathematics An Invitation to Effective Thinking 4th Edition

Author: Edward B. Burger
Publisher: Wiley Global Education
ISBN: 9781118475744
Release Date: 2012-11-08
Genre: Mathematics

Transform your mathematics course into an engaging and mind-opening experience for even your most math-phobic students. Now in its Fourth Edition, The Heart of Mathematics: An Invitation to Effective Thinking 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, The Heart of Mathematics introduces students to the most important and interesting ideas in mathematics while inspiring them to actively engage in mathematical thinking.

Coincidences Chaos and All that Math Jazz

Author: Edward B. Burger
Publisher: W. W. Norton & Company
ISBN: 0393059456
Release Date: 2005
Genre: Science

An irreverent and accessible explanation of challenging puzzles within the world of mathematics considers such topics as the link between a pineapple's spirals and the famous Fibonacci numbers, the shape of the universe as reflected by a twisted strip of paper, and the parallels between the Lincoln and Kennedy assassinations. 50,000 first printing.

The 5 Elements of Effective Thinking

Author: Edward B. Burger
Publisher: Princeton University Press
ISBN: 9781400844562
Release Date: 2012-08-26
Genre: Self-Help

The 5 Elements of Effective Thinking presents practical, lively, and inspiring ways for you to become more successful through better thinking. The idea is simple: You can learn how to think far better by adopting specific strategies. Brilliant people aren't a special breed--they just use their minds differently. By using the straightforward and thought-provoking techniques in The 5 Elements of Effective Thinking, you will regularly find imaginative solutions to difficult challenges, and you will discover new ways of looking at your world and yourself--revealing previously hidden opportunities. The book offers real-life stories, explicit action items, and concrete methods that allow you to attain a deeper understanding of any issue, exploit the power of failure as a step toward success, develop a habit of creating probing questions, see the world of ideas as an ever-flowing stream of thought, and embrace the uplifting reality that we are all capable of change. No matter who you are, the practical mind-sets introduced in the book will empower you to realize any goal in a more creative, intelligent, and effective manner. Filled with engaging examples that unlock truths about thinking in every walk of life, The 5 Elements of Effective Thinking is written for all who want to reach their fullest potential--including students, parents, teachers, businesspeople, professionals, athletes, artists, leaders, and lifelong learners. Whenever you are stuck, need a new idea, or want to learn and grow, The 5 Elements of Effective Thinking will inspire and guide you on your way. To share thinking stories, go to: http://5elementsofthinking.wordpress.com

Teaching Numeracy

Author: Margie Pearse
Publisher: Corwin Press
ISBN: 9781452238852
Release Date: 2011-03-23
Genre: Education

Transform mathematics learning from “doing” to “thinking” American students are losing ground in the global mathematical environment. What many of them lack is numeracy—the ability to think through the math and apply it outside of the classroom. Referencing the new common core and NCTM standards, the authors outline nine critical thinking habits that foster numeracy and show you how to: Monitor and repair students’ understanding Guide students to recognize patterns Encourage questioning for understanding Develop students’ mathematics vocabulary Included are several numeracy-rich lesson plans, complete with clear directions and student handouts.

Distilling Ideas

Author: Brian P. Katz
Publisher: MAA
ISBN: 9781939512031
Release Date: 2013
Genre: Mathematics

Designed for undergraduate students and lecturers, this text guides its users to develop the skills, attitudes, and habits of mind of a mathematician. It presents a carefully designed sequence of exercises and theorems so that its readers will be directed to discover mathematical ideas, strategies of proof, and strategies of thinking. Through the exploration of interesting mathematical content including graphs, groups, and calculus, this book helps to foster habits of inquiry. This book can be used by instructors as a text for an inquiry-based introduction to proof course, or as an independent study guide for mathematics students. The three core mathematical topics are presented separately, and each helps students develop theorem-proving skills and strategies of thinking whilst also providing an organised set of challenges that lead students to understand the process of mathematical creativity and development.

Art Physics

Author: Leonard Shlain
Publisher: Harper Collins
ISBN: 9780061227974
Release Date: 2007-02-27
Genre: Art

Art interprets the visible world. Physics charts its unseen workings. The two realms seem completely opposed. But consider that both strive to reveal truths for which there are no words––with physicists using the language of mathematics and artists using visual images. In Art & Physics, Leonard Shlain tracks their breakthroughs side by side throughout history to reveal an astonishing correlation of visions. From the classical Greek sculptors to Andy Warhol and Jasper Johns, and from Aristotle to Einstein, artists have foreshadowed the discoveries of scientists, such as when Monet and Cezanne intuited the coming upheaval in physics that Einstein would initiate. In this lively and colorful narrative, Leonard Shlain explores how artistic breakthroughs could have prefigured the visionary insights of physicists on so many occasions throughout history. Provicative and original, Art & Physics is a seamless integration of the romance of art and the drama of science––and an exhilarating history of ideas.

Now You re Thinking

Author: Judy Chartrand
Publisher: FT Press
ISBN: 9780132932172
Release Date: 2011-09-14
Genre: Business & Economics

Learn more with the video links included in this e-book! Want to improve? Want to change? Start inside your own head: You are what you think! Now You’re Thinking will help you build your great life by teaching you breakthrough techniques for thinking far more effectively. Whether you’re considering refinancing your house or trying to become a better parent, some thinking processes are simply proven to work better. Learn them here--right now. Discover how to assess your own thinking style, build on your strengths, fix your weaknesses, navigate tough challenges and moral dilemmas; gain new perspective; think your way to balance and security, and master strategic thinking, in business, and in life! To celebrate the launch of Now You’re Thinking, Pearson people, business partners, and friends have a tremendous opportunity to make a remarkable difference in the lives of the families of those serving the U.S. military. From September 12 through September 30, each time you read a free online children’s book at We Give Books (wegivebooks.org), your efforts will help give a free hardcover or paperback book to great non-profits that support U.S. military families year round. Think. Read. Give.

Making Thinking Visible

Author: Ron Ritchhart
Publisher: John Wiley & Sons
ISBN: 9780470915516
Release Date: 2011-05-03
Genre: Education

"Visible Thinking is a research-based approach to teaching thinking that develops students' thinking dispositions, while at the same time deepening their understanding of the topics they study. Rather than a set of fixed lessons, Visible Thinking is an extensive and adaptable collection of practices that include thinking routines and the documentation of student thinking. The routines are a central element of the practical, functional and accessible nature of Visible Thinking. Thinking routines are easy to use mini-strategies that are repeatedly used in the classroom. They are a small set of questions or a short sequence of steps that can be used across various grade levels and content. Each routine targets a different type of thinking and by bringing their own content, teachers can integrate the routines into the fabric of their classrooms. Thinking Routines help direct student thinking and structure classroom discussion. Thinking becomes visible as the students' different viewpoints are expressed, documented, discussed and reflected upon"--

Common Sense Mathematics

Author: Ethan D. Bolker
Publisher: The Mathematical Association of America
ISBN: 9781939512109
Release Date: 2016-05-04
Genre: Mathematics

Common Sense Mathematics is a text for a one semester college-level course in quantitative literacy. The text emphasizes common sense and common knowledge in approaching real problems through popular news items and finding useful mathematical tools and frames with which to address those questions. We asked ourselves what we hoped our students would remember about this course in ten year’s time. From that ten year perspective thoughts about syllabus–“what topics should we cover?"–seemed much too narrow. What matters more is our wish to change the way our students' minds work–the way they approach a problem, or, more generally, the way they approach the world. Most people “skip the numbers" in newspapers, magazines, on the web and (more importantly) even in financial information. We hope that in ten years our students will follow the news, confident in their ability to make sense of the numbers they find there and in their daily lives. Most quantitative reasoning texts are arranged by mathematical topics to be mastered. Since the mathematics is only a part of what we hope students learn, we've chosen another strategy. We look at real life stories that can be best understood with careful reading and a little mathematics.

The Bride Factory

Author: Erika Engstrom
Publisher: Peter Lang Pub Incorporated
ISBN: 1433117460
Release Date: 2012
Genre: Language Arts & Disciplines

In response to the growing scope and popularity of wedding-related offerings and the media attention given to celebrity and royal weddings, The Bride Factory critically examines various bridal media outlets, artifacts, and the messages they convey about women today. The book departs from conventional wisdom and other treatments of the bridal industry as a scholarly topic by revealing how media portray women in modern American society, and how these portrayals reflect feminism and femininity and illustrate the hegemony created by these media. The book discusses the portrayal of women as brides in media coverage throughout history; the various forms of wedding media, including print, television, and the Internet; how bridal media forward ideals of feminine beauty; how reality wedding programs depict brides - and the new �bridezilla� - as agents of control over their perfect day; the role of men in wedding planning; and the extent to which the white wedding ideal is embraced or resisted, with special attention given to alternative wedding media. Cohesive and multidisciplinary in its approach, The Bride Factory is the first major publication to shed critical light on bridal media and their feminist implications.

Number Theory Through Inquiry

Author: David C. Marshall
Publisher: MAA
ISBN: 9780883857519
Release Date: 2007
Genre: Mathematics

This innovative textbook leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. The first is to help students develop mathematical thinking skills, particularly theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for independent study, or for a course designed as an introduction to abstract mathematics. It is designed to be used with an instructional technique variously called guided discovery or Modified Moore Method or Inquiry Based Learning (IBL). Instructors' materials explain the instructional method, which gives students a totally different experience compared to a standard lecture course. Students develop an attitude of personal reliance and a sense that they can think effectively about difficult problems; goals that are fundamental to the educational enterprise within and beyond mathematics.

Biology

Author: David Krogh
Publisher: Benjamin-Cummings Publishing Company
ISBN: 0321616553
Release Date: 2011
Genre: Science

David Krogh's Biology: A Guide to the Natural World leads readers on a memorable journey through the world of biology, using relevant examples, clearly-developed illustrations, and helpful insights that resonate with today's students. Widely-recognized as a book that students enjoy reading, the Fifth Edition has been thoroughly updated with new discussions on social concerns and health applications, along with streamlined chapter summaries and expanded review questions.

The Survival of a Mathematician

Author: Steven George Krantz
Publisher: American Mathematical Soc.
ISBN: 9780821846292
Release Date: 2009-01
Genre: Mathematics

"One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.

Reaching Students

Author: Linda Kober
Publisher: National Academy Press
ISBN: 0309300436
Release Date: 2015-01-15
Genre: Education

The undergraduate years are a turning point in producing scientifically literate citizens and future scientists and engineers. Evidence from research about how students learn science and engineering shows that teaching strategies that motivate and engage students will improve their learning. So how do students best learn science and engineering? Are there ways of thinking that hinder or help their learning process? Which teaching strategies are most effective in developing their knowledge and skills? And how can practitioners apply these strategies to their own courses or suggest new approaches within their departments or institutions? "Reaching Students" strives to answer these questions. "Reaching Students" presents the best thinking to date on teaching and learning undergraduate science and engineering. Focusing on the disciplines of astronomy, biology, chemistry, engineering, geosciences, and physics, this book is an introduction to strategies to try in your classroom or institution. Concrete examples and case studies illustrate how experienced instructors and leaders have applied evidence-based approaches to address student needs, encouraged the use of effective techniques within a department or an institution, and addressed the challenges that arose along the way. The research-based strategies in "Reaching Students" can be adopted or adapted by instructors and leaders in all types of public or private higher education institutions. They are designed to work in introductory and upper-level courses, small and large classes, lectures and labs, and courses for majors and non-majors. And these approaches are feasible for practitioners of all experience levels who are open to incorporating ideas from research and reflecting on their teaching practices. This book is an essential resource for enriching instruction and better educating students.