The Mathematics Experience

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The Mathematical Experience, Study Edition

Author : Philip Davis
Publisher : Springer Science & Business Media
ISBN 13 : 0817682945
Total Pages : 522 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis The Mathematical Experience, Study Edition by : Philip Davis

Download or read book The Mathematical Experience, Study Edition written by Philip Davis and published by Springer Science & Business Media. This book was released on 2011-10-27 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Mathematical Circles

Author : Dmitry Fomin
Publisher : American Mathematical Soc.
ISBN 13 : 0821804308
Total Pages : 272 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Circles by : Dmitry Fomin

Download or read book Mathematical Circles written by Dmitry Fomin and published by American Mathematical Soc.. This book was released on 1996 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: What kind of book is this? It is a book produced by a remarkable cultural circumstance in the former Soviet Union which fostered the creation of groups of students, teachers, and mathematicians called "mathematical circles". The work is predicated on the idea that studying mathematics can generate the same enthusiasm as playing a team sport - without necessarily being competitive. This book is intended for both students and teachers who love mathematics and want to study its various branches beyond the limits of school curriculum.

The Companion Guide to the Mathematical Experience

Author : Philip J. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 1461242800
Total Pages : 118 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Companion Guide to the Mathematical Experience by : Philip J. Davis

Download or read book The Companion Guide to the Mathematical Experience written by Philip J. Davis and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Assessing Mathematical Literacy

Author : Kaye Stacey
Publisher : Springer
ISBN 13 : 3319101218
Total Pages : 334 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Assessing Mathematical Literacy by : Kaye Stacey

Download or read book Assessing Mathematical Literacy written by Kaye Stacey and published by Springer. This book was released on 2014-11-03 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept of mathematical literacy are discussed, highlighting the underlying themes of mathematics as preparation for life after school and mathematical modelling of the real world, and clarifying PISA’s position within this part of the mathematics education territory. The PISA mathematics framework is introduced as a significant milestone in the development and dissemination of these ideas. The underlying mathematical competencies on which mathematical literacy so strongly depends are described, along with a scheme to use them in item creation and analysis. The development and implementation of the PISA survey and the consequences for the outcomes are thoroughly discussed. Different kinds of items for both paper-based and computer-based PISA surveys are exemplified by many publicly released items along with details of scoring. The novel survey of the opportunity students have had to learn the mathematics promoted through PISA is explained. The book concludes by surveying international impact. It presents viewpoints of mathematics educators on how PISA and its constituent ideas and methods have influenced teaching and learning practices, curriculum arrangements, assessment practices, and the educational debate more generally in fourteen countries.

The Essence of Mathematics Through Elementary Problems

Author : Alexandre Borovik
Publisher :
ISBN 13 : 9781783746996
Total Pages : 398 pages
Book Rating : 4.7/5 (469 download)

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Book Synopsis The Essence of Mathematics Through Elementary Problems by : Alexandre Borovik

Download or read book The Essence of Mathematics Through Elementary Problems written by Alexandre Borovik and published by . This book was released on 2019-06-11 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Decade of the Berkeley Math Circle

Author : Zvezdelina Stankova
Publisher : American Mathematical Soc.
ISBN 13 : 0821846833
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Decade of the Berkeley Math Circle by : Zvezdelina Stankova

Download or read book A Decade of the Berkeley Math Circle written by Zvezdelina Stankova and published by American Mathematical Soc.. This book was released on 2008-11-26 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Directions For Mathematics Research Experience For Undergraduates

Author : Rubinstein Yanir A
Publisher : World Scientific
ISBN 13 : 9814630330
Total Pages : 252 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Directions For Mathematics Research Experience For Undergraduates by : Rubinstein Yanir A

Download or read book Directions For Mathematics Research Experience For Undergraduates written by Rubinstein Yanir A and published by World Scientific. This book was released on 2015-09-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: “The US National Science Foundation (NSF) Research Experiences for Undergraduates (REU) program in mathematics is now 25 years old, and it is a good time to think about what it has achieved, how it has changed, and where this idea will go next.”This was the premise of the conference held at Mt. Holyoke College during 21-22 June, 2013, and this circle of ideas is brought forward in this volume. The conference brought together diverse points of view, from NSF administrators, leaders of university-wide honors programs, to faculty who had led REUs, recent PhDs who are expected to lead them soon, and students currently in an REU themselves. The conversation was so varied that it justifies a book-length attempt to capture all that was suggested, reported, and said. Among the contributors are Ravi Vakil (Stanford), Haynes Miller (MIT), and Carlos Castillo-Chavez (Arizona, President's Obama Committee on the National Medal of Science 2010-2012).This book should serve not only as a collection of speakers' notes, but also as a source book for anyone interested in teaching mathematics and in the possibility of incorporating research-like experiences in mathematics classes at any level, as well as designing research experiences for undergraduates outside of the classroom.

Didactics of Mathematics

Author : Ángel Alberto Magreñán
Publisher :
ISBN 13 : 9781536175684
Total Pages : 187 pages
Book Rating : 4.1/5 (756 download)

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Book Synopsis Didactics of Mathematics by : Ángel Alberto Magreñán

Download or read book Didactics of Mathematics written by Ángel Alberto Magreñán and published by . This book was released on 2020 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Didactics of mathematics has been recently considered, for less than a century, as scientific discipline as itself. The study of this discipline has significantly grown in the last decades since many authors have focused their efforts in the study of the relations of the knowledge and the processes of teaching-learning of mathematics. This book presents eight original contributions of authors from ten different universities, and even from different countries, related to (1) Learning and metacognition; (2) A methodology to teach mathematics; (3) A study related to mathematics in China; (4) Collaborative learning in Mathematics in Secondary Education; (5) Intervention to teach notable products in Secondary Education; (6) The use of holography in geometry teaching in Secondary Education; (7) Problem Based Learning in University for advanced mathematics teaching; (8) Flip teaching in University. This monograph is required reading for all researchers in mathematics education and contains different useful material for mathematics educators and teacher trainers interested in the theory and practice of mathematics education. As such this monograph is suitable to teachers of mathematics in different educational levels. Researchers, graduate students and seminars will find this book really helpful for their daily work. This book is also recommended to researchers in different disciplines, such as general education, didactics or general mathematics"--

The Math(s) Fix

Author : Conrad Wolfram
Publisher : Wolfram Media
ISBN 13 : 9781579550295
Total Pages : pages
Book Rating : 4.5/5 (52 download)

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Book Synopsis The Math(s) Fix by : Conrad Wolfram

Download or read book The Math(s) Fix written by Conrad Wolfram and published by Wolfram Media. This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Why are we all taught maths for years of our lives? Does it really empower everyone? Or fail most and disenfranchise many? Is it crucial for the AI age or an obsolete rite of passage? The Math(s) Fix: An Education Blueprint for the AI Age is a groundbreaking book that exposes why maths education is in crisis worldwide and how the only fix is a fundamentally new mainstream subject. It argues that today's maths education is not working to elevate society with modern computation, data science and AI. Instead, students are subjugated to compete with what computers do best, and lose. This is the only book to explain why being "bad at maths" may be as much the subject's fault as the learner's: how a stuck educational ecosystem has students, parents, teachers, schools, employers and policymakers running in the wrong direction to catch up with real-world requirements. But it goes further too"¬‚¬"for the first time setting out a completely alternative vision for a core computational school subject to fix the problem and seed more general reformation of education for the AI age.

Mathematics, Education, and Other Endangered Species

Author : Shlomo Vinner
Publisher : Springer
ISBN 13 : 3319900358
Total Pages : 141 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Mathematics, Education, and Other Endangered Species by : Shlomo Vinner

Download or read book Mathematics, Education, and Other Endangered Species written by Shlomo Vinner and published by Springer. This book was released on 2019-04-26 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the critical roles and effects of mathematics education. The exposition draws from the author’s forty-year mathematics career, integrating his research in the psychology of mathematical thinking into an overview of the true definition of math. The intention for the reader is to undergo a “corrective” experience, obtaining a clear message on how mathematical thinking tools can help all people cope with everyday life. For those who have struggled with math in the past, the book also aims to clarify that math learning difficulties are likely a result of improper pedagogy as opposed to any lack of intelligence on the part of the student. This personal treatise will be of interest to a variety of readers, from mathematics teachers and those who train them to those with an interest in education but who may lack a solid math background.

Teaching Math to Multilingual Students, Grades K-8

Author : Kathryn B. Chval
Publisher : Corwin Press
ISBN 13 : 1071810839
Total Pages : 317 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Teaching Math to Multilingual Students, Grades K-8 by : Kathryn B. Chval

Download or read book Teaching Math to Multilingual Students, Grades K-8 written by Kathryn B. Chval and published by Corwin Press. This book was released on 2021-01-07 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.

Engaging in Culturally Relevant Math Tasks

Author : Lou Edward Matthews
Publisher : Corwin Press
ISBN 13 : 1071841688
Total Pages : 173 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Engaging in Culturally Relevant Math Tasks by : Lou Edward Matthews

Download or read book Engaging in Culturally Relevant Math Tasks written by Lou Edward Matthews and published by Corwin Press. This book was released on 2022-03-08 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empower your students as they reimagine the world around them through mathematics Culturally relevant mathematics teaching engages and empowers students, helping them learn and understand math more deeply and make connections to themselves, their communities, and the world around them. The mathematics task provides opportunities for a direct pathway to this goal; however, how can you find, adapt, and implement math tasks that build powerful learners? Engaging in Culturally Relevant Math Tasks helps teachers to design and refine inspiring mathematics learning experiences driven by the kind of high-quality and culturally relevant mathematics tasks that connect students to their world. With the goal of inspiring all students to see themselves as doers of mathematics, this book provides intensive, in-the-moment guidance and practical classroom tools that empower educators to shape culturally relevant experiences while systematically building tasks that are standards-based. It includes A pathway for moving through the process of asking, imagining, planning, creating, and improving culturally relevant math tasks. Tools and strategies for designing culturally relevant math tasks that preservice, novice, and veteran teachers can use to grow their practice day by day. Research-based teaching practices seen through the lens of culturally relevant instruction that help students develop deep conceptual understanding, procedural knowledge, fluency, and application in all K-5 mathematical content. Examples, milestones, opportunities for reflection, and discussion questions guide educators to strengthen their classroom practices, and to reimagine math instruction in response. This book is for any educator who wants to teach mathematics in a more authentic, inclusive, and meaningful way, and it is especially beneficial for teachers whose students are culturally different from them.

Helping Children Learn Mathematics

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309131987
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Helping Children Learn Mathematics by : National Research Council

Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how weâ€™re teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre--kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.

Loving and Hating Mathematics

Author : Reuben Hersh
Publisher : Princeton University Press
ISBN 13 : 9781400836116
Total Pages : 432 pages
Book Rating : 4.8/5 (361 download)

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Book Synopsis Loving and Hating Mathematics by : Reuben Hersh

Download or read book Loving and Hating Mathematics written by Reuben Hersh and published by Princeton University Press. This book was released on 2010-12-13 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.

Mathematics Education for a New Era

Author : Keith Devlin
Publisher : CRC Press
ISBN 13 : 1439867712
Total Pages : 220 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematics Education for a New Era by : Keith Devlin

Download or read book Mathematics Education for a New Era written by Keith Devlin and published by CRC Press. This book was released on 2011-02-25 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stanford mathematician and NPR Math Guy Keith Devlin explains why, fun aside, video games are the ideal medium to teach middle-school math. Aimed primarily at teachers and education researchers, but also of interest to game developers who want to produce videogames for mathematics education, Mathematics Education for a New Era: Video Games as a Med

Critical Issues in Mathematics Education

Author : Bharath Sriraman
Publisher : IAP
ISBN 13 : 1607522187
Total Pages : 503 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Critical Issues in Mathematics Education by : Bharath Sriraman

Download or read book Critical Issues in Mathematics Education written by Bharath Sriraman and published by IAP. This book was released on 2009-06-01 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments or judgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.