Essentials Of Mathematical Thinking
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Author | : Steven G. Krantz |
Publisher | : CRC Press |
Total Pages | : 369 |
Release | : 2017-10-06 |
Genre | : Mathematics |
ISBN | : 1351642944 |
Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our world is driven by mathematics in all aspects of life. The book is an excellent introduction to the world of mathematics for students not majoring in mathematical studies. The author has written this book in an enticing, rich manner that will engage students and introduce new paradigms of thought. Careful readers will develop critical thinking skills which will help them compete in today’s world. The book explains: What goes behind a Google search algorithm How to calculate the odds in a lottery The value of Big Data How the nefarious Ponzi scheme operates Instructors will treasure the book for its ability to make the field of mathematics more accessible and alluring with relevant topics and helpful graphics. The author also encourages readers to see the beauty of mathematics and how it relates to their lives in meaningful ways.
Author | : Robert J. Sternberg |
Publisher | : Routledge |
Total Pages | : 354 |
Release | : 1996 |
Genre | : Cognitive psychology |
ISBN | : 0805817980 |
First Published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.
Author | : Edward B. Burger |
Publisher | : Wiley |
Total Pages | : 0 |
Release | : 2009-10-19 |
Genre | : Mathematics |
ISBN | : 9780470556610 |
Make mathematics fun and satisfying for everyone Math can be a living source of powerful ideas that transcend mathematics; a window into mind-opening philosophical concepts such as infinity, fourth dimensions, chaos, and fractals; and a practical training ground for developing skills in analysis, reasoning, and thoughti̲f you have the right approach and the right guide. The Heart of Mathematics: An Invitation to Effective Thinking n̲ow in its third editiont̲ransforms mathematics into an engaging, relevant experience even for the most ...
Author | : Alan H. Schoenfeld |
Publisher | : Routledge |
Total Pages | : 303 |
Release | : 2016-05-06 |
Genre | : Education |
ISBN | : 113544093X |
In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.
Author | : Steven G. Krantz |
Publisher | : |
Total Pages | : |
Release | : 2017 |
Genre | : Mathematics |
ISBN | : 9781351633611 |
"Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our world is driven by mathematics in all aspects of life. The book is an excellent introduction to the world of mathematics for students not majoring in mathematical studies. The author has written this book in an enticing, rich manner that will engage students and introduce new paradigms of thought. Careful readers will develop critical thinking skills which will help them compete in today's world. The book explains:What goes behind a Google search algorithm How to calculate the odds in a lotteryThe value of Big DataHow the nefarious Ponzi scheme operatesInstructors will treasure the book for its ability to make the field of mathematics more accessible and alluring with relevant topics and helpful graphics. The author also encourages readers to see the beauty of mathematics and how it relates to their lives in meaningful ways."--Provided by publisher.
Author | : Keith J. Devlin |
Publisher | : |
Total Pages | : 0 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9780615653631 |
"Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.
Author | : Annie Selden |
Publisher | : Routledge |
Total Pages | : 76 |
Release | : 2013-10-15 |
Genre | : Education |
ISBN | : 1135478384 |
This is Volume 7, Issue 1 2005, a Special Issue of 'Mathematical Thinking and Learning' which looks at Advanced Mathematical Thinking. Opening with a brief history of attempts to characterize advanced mathematical thinking, beginning with the deliberations of the Advanced Mathematical Thinking Working Group of the International Group for the Psychology of Mathematics Education. The articles follow the recurring themes: (a) the distinction between identifying kinds of thinking that might be regarded as advanced at any grade level and taking as advanced any thinking about mathematical topics considered advanced; (b) the utility of characterizing such thinking for integrating the entire curriculum; (c) general tests, or criteria, for identifying advanced mathematical thinking; and (d) an emphasis on advancing mathematical practices.
Author | : David Tall |
Publisher | : Springer Science & Business Media |
Total Pages | : 298 |
Release | : 2006-04-11 |
Genre | : Education |
ISBN | : 0306472031 |
This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.
Author | : Marilyn A. Reba |
Publisher | : CRC Press |
Total Pages | : 605 |
Release | : 2014-12-15 |
Genre | : Mathematics |
ISBN | : 1482297930 |
A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress
Author | : Brian P. Katz |
Publisher | : American Mathematical Society |
Total Pages | : 189 |
Release | : 2021-09-01 |
Genre | : Mathematics |
ISBN | : 1470465809 |
Mathematics is not a spectator sport; successful students of mathematics grapple with ideas for themselves. Distilling Ideas presents a carefully designed sequence of exercises and theorem statements that challenge students to create proofs and concepts. As students meet these challenges, they discover strategies of proofs and strategies of thinking beyond mathematics. In other words, Distilling Ideas helps its users to develop the skills, attitudes, and habits of mind of a mathematician, and to enjoy the process of distilling and exploring ideas. Distilling Ideas is an ideal textbook for a first proof-based course. The text engages the range of students' preferences and aesthetics through a corresponding variety of interesting mathematical content from graphs, groups, and epsilon-delta calculus. Each topic is accessible to users without a background in abstract mathematics because the concepts arise from asking questions about everyday experience. All the common proof structures emerge as natural solutions to authentic needs. Distilling Ideas or any subset of its chapters is an ideal resource either for an organized Inquiry Based Learning course or for individual study.