New Perspectives On Mathematical Practices

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New Perspectives on Mathematical Practices

Author : Bart Van Kerkhove
Publisher : World Scientific
ISBN 13 : 9812812237
Total Pages : 248 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis New Perspectives on Mathematical Practices by : Bart Van Kerkhove

Download or read book New Perspectives on Mathematical Practices written by Bart Van Kerkhove and published by World Scientific. This book was released on 2009 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck and Dirk Schlimm; and young, promising researchers at the beginning of their careers. The book is situated within a relatively new and broadly naturalistic tradition in the philosophy of mathematics. In this alternative philosophical current, which has been dramatically growing in importance in the last few decades, unlike in the traditional schools, proper attention is paid to scientific practices as informing for philosophical accounts.

Five Practices for Orchestrating Productive Mathematics Discussions

Author : Margaret Schwan Smith
Publisher :
ISBN 13 : 9781483351117
Total Pages : 104 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Five Practices for Orchestrating Productive Mathematics Discussions by : Margaret Schwan Smith

Download or read book Five Practices for Orchestrating Productive Mathematics Discussions written by Margaret Schwan Smith and published by . This book was released on 2011 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.

Perspectives on Mathematical Practices

Author : Bart van Kerkhove
Publisher : Springer Science & Business Media
ISBN 13 : 1402050348
Total Pages : 243 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Perspectives on Mathematical Practices by : Bart van Kerkhove

Download or read book Perspectives on Mathematical Practices written by Bart van Kerkhove and published by Springer Science & Business Media. This book was released on 2007-06-01 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the eyes of the editors, this book will be considered a success if it can convince its readers of the following: that it is warranted to dream of a realistic and full-fledged theory of mathematical practices, in the plural. If such a theory is possible, it would mean that a number of presently existing fierce oppositions between philosophers, sociologists, educators, and other parties involved, are in fact illusory.

The Philosophy of Mathematical Practice

Author : Paolo Mancosu
Publisher : Oxford University Press on Demand
ISBN 13 : 0199296456
Total Pages : 460 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis The Philosophy of Mathematical Practice by : Paolo Mancosu

Download or read book The Philosophy of Mathematical Practice written by Paolo Mancosu and published by Oxford University Press on Demand. This book was released on 2008-06-19 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is an urgent need in philosophy of mathematics for new approaches which pay closer attention to mathematical practice. This book will blaze the trail: it offers philosophical analyses of important characteristics of contemporary mathematics and of many aspects of mathematical activity which escape purely formal logical treatment.

A Journey in Mathematics Education Research

Author : Erna Yackel
Publisher : Springer Science & Business Media
ISBN 13 : 9048197295
Total Pages : 255 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis A Journey in Mathematics Education Research by : Erna Yackel

Download or read book A Journey in Mathematics Education Research written by Erna Yackel and published by Springer Science & Business Media. This book was released on 2010-11-30 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.

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.

Connecting the NCTM Process Standards and the CCSSM Practices

Author : Courtney Koestler
Publisher : National Council of Teachers of Mat
ISBN 13 : 9780873537087
Total Pages : 123 pages
Book Rating : 4.5/5 (37 download)

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Book Synopsis Connecting the NCTM Process Standards and the CCSSM Practices by : Courtney Koestler

Download or read book Connecting the NCTM Process Standards and the CCSSM Practices written by Courtney Koestler and published by National Council of Teachers of Mat. This book was released on 2013 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their release in 2010, the Common Core State Standards Initiative (CCSSI) has had a profound impact on educational reform. The adoption of these standards represents an opportunity to support teachers in the common goal of helping students achieve a high-quality education. The Common Core State Standards for Mathematics will affect almost every K-12 student and the majority of the US’s teachers over the next decade. Although the CCSSM was created through a top-down approach, spearheaded by the National Governors Association and the Council of Chief State School officers, the primary audience and the ultimate users of the standards are classroom teachers. The focus of this book is on the Standards of Mathematical Practice outlined in the CCSSM. Although the CCSSM features these standards prominently, they are not described in detail and are not integrated into CCSSM's Standards for Mathematical Content. As a result, they are easy to overlook or ignore. The ideas in the Standards for Mathematical Practice are not new but linked to previous practices and standards articulated by other groups, including the National Council of Teachers of Mathematics (NCTM). For example, problem solving and reasoning are at the core of all practices outlined in CCSSM, just as they have been at the core of NCTM's vision for mathematics education since the publication of An Agenda for Action in 1980. Subsequent NCTM curriculum recommendations, emphasized and elaborated the role and place of mathematical processes and practices. The Standards of Mathematical Process outlined in CCSSM, and explored in greater detail in this book, reaffirm the significance of habits of mind, mathematical processes, and proficiency as crucial aspects of learning mathematics. Although the terms and emphasis may be new to teachers, the main ideas have existed a long time and remain unchanged. Intended for classroom teachers, this book makes explicit connections between these related ideas and the CCSSM Standards for Mathematical Practice. By connecting the CCSSM to previous standards and practices, the book serves as a valuable guide for teachers and administrators in implementing the CCSSM to make mathematics education the best and most effective for all students.

Mathematical Knowledge and the Interplay of Practices

Author : José Ferreirós
Publisher : Princeton University Press
ISBN 13 : 1400874009
Total Pages : 358 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Mathematical Knowledge and the Interplay of Practices by : José Ferreirós

Download or read book Mathematical Knowledge and the Interplay of Practices written by José Ferreirós and published by Princeton University Press. This book was released on 2015-12-22 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, José Ferreirós uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of mathematics, Ferreirós shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. He argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. Ferreirós demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty. Offering a wealth of philosophical and historical insights, Mathematical Knowledge and the Interplay of Practices challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.

Handbook of the History and Philosophy of Mathematical Practice

Author : Bharath Sriraman
Publisher : Springer Nature
ISBN 13 : 3031408462
Total Pages : 3221 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Handbook of the History and Philosophy of Mathematical Practice by : Bharath Sriraman

Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Contexts for Learning Mathematics

Author : Catherine Twomey Fosnot
Publisher : Greenwood International
ISBN 13 : 9780325010045
Total Pages : pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Contexts for Learning Mathematics by : Catherine Twomey Fosnot

Download or read book Contexts for Learning Mathematics written by Catherine Twomey Fosnot and published by Greenwood International. This book was released on 2007-05 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Contexts for Learning consists of: Investigations and Resource Guides - workshop structure involves students in inquiring, investigating, discussing, and constructing mathematical solutions and strategies - investigations encourage emergent learning and highlight the developmental landmarks in mathematical thinking - strings of related problems develop students' deep number sense and expand their strategies for mental arithmetic Read-Aloud Books and Posters - create rich, imaginable contexts--realistic and fictional--for mathematics investigations - are carefully crafted to support the development of the big ideas, strategies, and models - encourage children to explore and generate patterns, generalize, and develop the ability to mathematize their worlds Resources for Contexts for Learning CD-ROM - author videos describe the series' philosophy and organization - video overviews show classroom footage of a math workshop, including minilessons, investigations, and a math congress - print resources include research base, posters, and templates

Transitions Between Contexts of Mathematical Practices

Author : Guida de Abreu
Publisher : Springer Science & Business Media
ISBN 13 : 0306476746
Total Pages : 253 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Transitions Between Contexts of Mathematical Practices by : Guida de Abreu

Download or read book Transitions Between Contexts of Mathematical Practices written by Guida de Abreu and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses mathematics learners in transition and their practices in different contexts; the institutional and socio-cultural framing of the transition processes involved; and the communication and negotiation of mathematical meanings during transition. Providing both empirical studies and significant theoretical reflections, it will appeal to researchers and postgraduate students in mathematics education, cultural psychology, multicultural education, immigrant and indigenous education.

Model Theory and the Philosophy of Mathematical Practice

Author : John T. Baldwin
Publisher : Cambridge University Press
ISBN 13 : 1107189217
Total Pages : 365 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Model Theory and the Philosophy of Mathematical Practice by : John T. Baldwin

Download or read book Model Theory and the Philosophy of Mathematical Practice written by John T. Baldwin and published by Cambridge University Press. This book was released on 2018-01-25 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recounts the modern transformation of model theory and its effects on the philosophy of mathematics and mathematical practice.

The Philosophy of Mathematics Education Today

Author : Paul Ernest
Publisher : Springer
ISBN 13 : 3319777602
Total Pages : 375 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis The Philosophy of Mathematics Education Today by : Paul Ernest

Download or read book The Philosophy of Mathematics Education Today written by Paul Ernest and published by Springer. This book was released on 2018-06-09 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society in the 21st century? How do students learn mathematics? What have we learnt about mathematics teaching? Applied philosophy can help to answer these and other fundamental questions, and only through an in-depth analysis can the practice of the teaching and learning of mathematics be improved. The book addresses important themes, such as critical mathematics education, the traditional role of mathematics in schools during the current unprecedented political, social, and environmental crises, and the way in which the teaching and learning of mathematics can better serve social justice and make the world a better place for the future.

Selected Essays on Pre- and Early Modern Mathematical Practice

Author : Jens Høyrup
Publisher : Springer Nature
ISBN 13 : 303019258X
Total Pages : 963 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Selected Essays on Pre- and Early Modern Mathematical Practice by : Jens Høyrup

Download or read book Selected Essays on Pre- and Early Modern Mathematical Practice written by Jens Høyrup and published by Springer Nature. This book was released on 2019-09-20 with total page 963 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a broad selection of articles mainly published during the last two decades on a variety of topics within the history of mathematics, mostly focusing on particular aspects of mathematical practice. This book is of interest to, and provides methodological inspiration for, historians of science or mathematics and students of these disciplines.

The Philosophy of Mathematics Education

Author : Paul Ernest
Publisher : Springer
ISBN 13 : 3319405691
Total Pages : 33 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis The Philosophy of Mathematics Education by : Paul Ernest

Download or read book The Philosophy of Mathematics Education written by Paul Ernest and published by Springer. This book was released on 2016-07-15 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey provides a brief and selective overview of research in the philosophy of mathematics education. It asks what makes up the philosophy of mathematics education, what it means, what questions it asks and answers, and what is its overall importance and use? It provides overviews of critical mathematics education, and the most relevant modern movements in the philosophy of mathematics. A case study is provided of an emerging research tradition in one country. This is the Hermeneutic strand of research in the philosophy of mathematics education in Brazil. This illustrates one orientation towards research inquiry in the philosophy of mathematics education. It is part of a broader practice of ‘philosophical archaeology’: the uncovering of hidden assumptions and buried ideologies within the concepts and methods of research and practice in mathematics education. An extensive bibliography is also included.

Science after the Practice Turn in the Philosophy, History, and Social Studies of Science

Author : Léna Soler
Publisher : Routledge
ISBN 13 : 1317935357
Total Pages : 321 pages
Book Rating : 4.3/5 (179 download)

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Book Synopsis Science after the Practice Turn in the Philosophy, History, and Social Studies of Science by : Léna Soler

Download or read book Science after the Practice Turn in the Philosophy, History, and Social Studies of Science written by Léna Soler and published by Routledge. This book was released on 2014-03-21 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1980s, philosophical, historical and social studies of science underwent a change which later evolved into a turn to practice. Analysts of science were asked to pay attention to scientific practices in meticulous detail and along multiple dimensions, including the material, social and psychological. Following this turn, the interest in scientific practices continued to increase and had an indelible influence in the various fields of science studies. No doubt, the practice turn changed our conceptions and approaches of science, but what did it really teach us? What does it mean to study scientific practices? What are the general lessons, implications, and new challenges? This volume explores questions about the practice turn using both case studies and theoretical analysis. The case studies examine empirical and mathematical sciences, including the engineering sciences. The volume promotes interactions between acknowledged experts from different, often thought of as conflicting, orientations. It presents contributions in conjunction with critical commentaries that put the theses and assumptions of the former in perspective. Overall, the book offers a unique and diverse range of perspectives on the meanings, methods, lessons, and challenges associated with the practice turn.

Cultures of Mathematics and Logic

Author : Shier Ju
Publisher : Birkhäuser
ISBN 13 : 3319315021
Total Pages : 130 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Cultures of Mathematics and Logic by : Shier Ju

Download or read book Cultures of Mathematics and Logic written by Shier Ju and published by Birkhäuser. This book was released on 2016-08-10 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the proceedings of the conference "Cultures of Mathematics and Logic," held in Guangzhou, China. The event was the third in a series of interdisciplinary, international conferences emphasizing the cultural components of philosophy of mathematics and logic. It brought together researchers from many disciplines whose work sheds new light on the diversity of mathematical and logical cultures and practices. In this context, the cultural diversity can be diachronical (different cultures in different historical periods), geographical (different cultures in different regions), or sociological in nature.