The Mathematical Experience Study Edition

Author : Philip Davis,Reuben Hersh,Elena Anne Marchisotto
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 46,7 Mb
Release : 2011-10-27
Category : Mathematics
ISBN : 9780817682941

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The Mathematical Experience, Study Edition by Philip Davis,Reuben Hersh,Elena Anne Marchisotto Pdf

Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.

Author : Philip J. Davis,Reuben Hersh,Elena A. Marchisotto
Publisher : Springer Science & Business Media
Page : 118 pages
File Size : 49,6 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781461242802

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The Companion Guide to the Mathematical Experience by Philip J. Davis,Reuben Hersh,Elena A. Marchisotto Pdf

Author : Philip J. Davis,Reuben Hersh,Elena Marchisotto
Publisher : Unknown
Page : 520 pages
File Size : 51,7 Mb
Release : 1995
Category : Mathematics
ISBN : UOM:39015037847228

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The Mathematical Experience by Philip J. Davis,Reuben Hersh,Elena Marchisotto Pdf

Presents general information about meteorology, weather, and climate and includes more than thirty activities to help study these topics, including making a cloud, generating lightning, and showing what happens when warm and cold fronts collide.

Author : Philip J. Davis
Publisher : Unknown
Page : 0 pages
File Size : 55,7 Mb
Release : 1987
Category : Mathematics
ISBN : OCLC:36488494

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The Mathematical Experience by Philip J. Davis Pdf

Author : Philip Davis,Reuben Hersh,Elena Anne Marchisotto
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 41,8 Mb
Release : 2011-10-28
Category : Mathematics
ISBN : 9780817682958

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The Mathematical Experience, Study Edition by Philip Davis,Reuben Hersh,Elena Anne Marchisotto Pdf

Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.

Author : Reuben Hersh
Publisher : Oxford University Press
Page : 368 pages
File Size : 42,9 Mb
Release : 1997-08-21
Category : Mathematics
ISBN : 9780198027362

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What Is Mathematics, Really? by Reuben Hersh Pdf

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

Author : Philip J. Davis,Reuben Hersh,Elena Marchisotto
Publisher : Birkhauser
Page : 120 pages
File Size : 44,6 Mb
Release : 1995-01-01
Category : Mathematics
ISBN : 3764338490

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The Companion Guide to The Mathematical Experience, Study Edition by Philip J. Davis,Reuben Hersh,Elena Marchisotto Pdf

The Companion Guide to The Mathematical Experience, Study Edition has been created as a teaching tool, not only for the teacher and the student, but also for those students who are potential teachers. Its major purpose is to enhance the value of The Mathematical Experience, Study Edition as a textbook for teachers and to provide content and method for prospective teachers. Thus, unlike instructional guides that are available to the adopting teacher only, this Companion is available to the student or the teacher who wants independently to develop further skills in teaching mathematics. An additional value is that it provides suggested topics to explore that are not in the text but that coordinate beautifully to the text. The inclusion of these topics makes The Companion Guide a flexible teaching tool, adaptable to a variety of courses and useable with many individual selections of other course materials.

Author : Peter Dear
Publisher : University of Chicago Press
Page : 306 pages
File Size : 51,6 Mb
Release : 1995-11-25
Category : Science
ISBN : 9780226139449

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Discipline and Experience by Peter Dear Pdf

Although the Scientific Revolution has long been regarded as the beginning of modern science, there has been little consensus about its true character. While the application of mathematics to the study of the natural world has always been recognized as an important factor, the role of experiment has been less clearly understood. Peter Dear investigates the nature of the change that occurred during this period, focusing particular attention on evolving notions of experience and how these developed into the experimental work that is at the center of modern science. He examines seventeenth-century mathematical sciences—astronomy, optics, and mechanics—not as abstract ideas, but as vital enterprises that involved practices related to both experience and experiment. Dear illuminates how mathematicians and natural philosophers of the period—Mersenne, Descartes, Pascal, Barrow, Newton, Boyle, and the Jesuits—used experience in their argumentation, and how and why these approaches changed over the course of a century. Drawing on mathematical texts and works of natural philosophy from all over Europe, he describes a process of change that was gradual, halting, sometimes contradictory—far from the sharp break with intellectual tradition implied by the term "revolution."

Author : Cathy Humphreys
Publisher : Unknown
Page : 196 pages
File Size : 45,6 Mb
Release : 2015
Category : Electronic
ISBN : 1760016527

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Making Number Talks Matter by Cathy Humphreys Pdf

Author : Francis Su
Publisher : Yale University Press
Page : 287 pages
File Size : 52,8 Mb
Release : 2020-01-07
Category : Mathematics
ISBN : 9780300237139

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Mathematics for Human Flourishing by Francis Su Pdf

"The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Author : Natasha Maurits,Branislava Ćurčić-Blake
Publisher : Springer Nature
Page : 319 pages
File Size : 55,5 Mb
Release : 2023-12-12
Category : Mathematics
ISBN : 9783031441400

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Math for Scientists by Natasha Maurits,Branislava Ćurčić-Blake Pdf

This book reviews math topics relevant to non-mathematics students and scientists, but which they may not have seen or studied for a while. These math issues can range from reading mathematical symbols, to using complex numbers, dealing with equations involved in calculating medication equivalents, the General Linear Model (GLM) used in e.g. neuroimaging analysis, finding the minimum of a function, independent component analysis, or filtering approaches. Almost every student or scientist, will at some point run into mathematical formulas or ideas in scientific papers that may be hard to understand, given that formal math education may be some years ago. In this book we will explain the theory behind many of these mathematical ideas and expressions and provide readers with the tools to better understand them. We will revisit high school mathematics and extend and relate this to the mathematics you need to understand the math you may encounter in the course of your research. This book will help you understand the math and formulas in the scientific papers you read. To achieve this goal, each chapter mixes theory with practical pen-and-paper exercises such that you (re)gain experience with solving math problems yourself. Mnemonics will be taught whenever possible. To clarify the math and help readers apply it, each chapter provides real-world and scientific examples. In this new edition, two new chapters covering statistics and differential equations have been added, which have been workshopped in the 'authors' popular lecture series in order to maximize the benefit for readers.

Author : Angela Chan Turrou,Nicholas C. Johnson,Megan L. Franke
Publisher : Unknown
Page : 128 pages
File Size : 54,5 Mb
Release : 2021-10
Category : Education
ISBN : 1938113934

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The Young Child and Mathematics, Third Edition by Angela Chan Turrou,Nicholas C. Johnson,Megan L. Franke Pdf

Tap into the Power of Child-Led Math Teaching and Learning Everything a child does has mathematical value--these words are at the heart of this completely revised and updated third edition of The Young Child and Mathematics. Grounded in current research, this classic book focuses on how teachers working with children ages 3 to 6 can find and build on the math inherent in children's ideas in ways that are playful and intentional. This resource - Illustrates through detailed vignettes how math concepts can be explored in planned learning experiences as well as informal spaces - Highlights in-the-moment instructional decision-making and child-teacher interactions that meaningfully and dynamically support children in making math connections - Provides an overview of what children know about counting and operations, spatial relations, measurement and data, and patterns and algebra - Offers examples of informal documentation and assessment approaches that are embedded within classroom practice Deepen your understanding of how math is an integral part of your classroom all day, every day. Includes online video!

Author : John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman
Publisher : Corwin Press
Page : 209 pages
File Size : 43,6 Mb
Release : 2016-09-15
Category : Education
ISBN : 9781506362953

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Visible Learning for Mathematics, Grades K-12 by John Hattie,Douglas Fisher,Nancy Frey,Linda M. Gojak,Sara Delano Moore,William Mellman Pdf

Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Author : Davis
Publisher : Unknown
Page : 128 pages
File Size : 41,8 Mb
Release : 1995
Category : Electronic
ISBN : OCLC:249227848

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The Mathematical Experience ... by Davis Pdf

Author : Peter Hilton,Derek Holton,Jean Pedersen
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 47,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475736816

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Mathematical Vistas by Peter Hilton,Derek Holton,Jean Pedersen Pdf

This book collects nine related mathematical essays which will intrigue and inform. From the reviews: "The authors put their writing where their talents are, and students get to see just how alive mathematics is...there is much to commend the book. It contains plenty of interesting mathematics, often going in unusual directions. I like the diagrams; the authors have chosen mathematics that involves especially pretty ones." --THE MATHEMATICAL ASSOCIATION OF AMERICA