The Indispensability of Mathematics

The Indispensability of Mathematics PDF Author: Mark Colyvan
Publisher:
ISBN:
Category : Electronic books
Languages : en
Pages : 172

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Book Description
The Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities indispenable to certain scientific theories. This text examines the issues.

The Indispensability of Mathematics

The Indispensability of Mathematics PDF Author: Mark Colyvan
Publisher:
ISBN:
Category : Electronic books
Languages : en
Pages : 172

Get Book Here

Book Description
The Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities indispenable to certain scientific theories. This text examines the issues.

The Indispensability of Mathematics [ebook]

The Indispensability of Mathematics [ebook] PDF Author: Mark Colyvan
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 182

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Book Description
The Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities indispenable to certain scientific theories. This text examines the issues.

Platonism and Anti-Platonism in Mathematics

Platonism and Anti-Platonism in Mathematics PDF Author: Mark Balaguer
Publisher: Oxford University Press, USA
ISBN: 9780195143980
Category : Mathematics
Languages : en
Pages : 234

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Book Description
In this book, Balaguer demonstrates that there are no good arguments for or against mathematical platonism. He does this by establishing that both platonism and anti-platonism are defensible. (Philosophy)

Thinking about Mathematics

Thinking about Mathematics PDF Author: Stewart Shapiro
Publisher: OUP Oxford
ISBN: 0192893068
Category : Philosophy
Languages : en
Pages : 323

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Book Description
Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.

Lectures on the Philosophy of Mathematics

Lectures on the Philosophy of Mathematics PDF Author: Joel David Hamkins
Publisher: MIT Press
ISBN: 0262542234
Category : Mathematics
Languages : en
Pages : 350

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Book Description
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

Philosophy of Mathematics: Oxford Bibliographies Online Research Guide

Philosophy of Mathematics: Oxford Bibliographies Online Research Guide PDF Author: Oxford University Press
Publisher: Oxford University Press, USA
ISBN: 0199808937
Category : Philosophy
Languages : en
Pages : 27

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Book Description
This ebook is a selective guide designed to help scholars and students of social work find reliable sources of information by directing them to the best available scholarly materials in whatever form or format they appear from books, chapters, and journal articles to online archives, electronic data sets, and blogs. Written by a leading international authority on the subject, the ebook provides bibliographic information supported by direct recommendations about which sources to consult and editorial commentary to make it clear how the cited sources are interrelated related. This ebook is a static version of an article from Oxford Bibliographies Online: Philosophy, a dynamic, continuously updated, online resource designed to provide authoritative guidance through scholarship and other materials relevant to the study Philosophy. Oxford Bibliographies Online covers most subject disciplines within the social science and humanities, for more information visit www.oxfordbibligraphies.com.

EBOOK: TEACHING THE PRIMARY CURRICULUM

EBOOK: TEACHING THE PRIMARY CURRICULUM PDF Author: Jane Johnston
Publisher: McGraw-Hill Education (UK)
ISBN: 0335231942
Category : Education
Languages : en
Pages : 258

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Book Description
* What is good teaching and learning in the primary school? * How can teachers manage the whole curriculum and still educate the whole child and raise standards? * How can teachers be in critical dialogue with each other and with the curriculum in their search for improvement? * What is the role of the teacher in the new primary curriculum? This wide ranging book seeks to address these questions and to provide a comprehensive overview of the whole primary curriculum. It aims to develop teaching throughout primary education and to support teachers in the effective delivery of the curriculum. There is a particular focus on recent changes in primary education. The contributors consider how teaching methodologies need to adapt to these changes to meet the needs of children and raise standards in school. Throughout the book, emphasis is placed on effective teaching and learning methodologies, the importance of quality interaction in the classroom, the role of the teacher in teaching and learning and the experience of the child. Exemplars of good teaching are provided in each chapter, as well as thought provoking ideas for good practice.

The Best Writing on Mathematics 2018

The Best Writing on Mathematics 2018 PDF Author: Mircea Pitici
Publisher: Princeton University Press
ISBN: 0691188726
Category : Mathematics
Languages : en
Pages : 272

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Book Description
The year’s finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2018 makes available to a wide audience many pieces not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today’s hottest mathematical debates. James Grime shows how to build subtly mischievous dice for playing slightly unfair games and Michael Barany traces how our appreciation of the societal importance of mathematics has developed since World War II. In other essays, Francis Su extolls the inherent values of learning, doing, and sharing mathematics, and Margaret Wertheim takes us on a mathematical exploration of the mind and the world—with glimpses at science, philosophy, music, art, and even crocheting. And there’s much, much more. In addition to presenting the year’s most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable pieces on mathematics. This is a must-read for anyone interested in where math has taken us—and where it is headed.

Marvelous Math

Marvelous Math PDF Author: Lee Bennett Hopkins
Publisher: Turtleback
ISBN: 9780613733250
Category : Juvenile Nonfiction
Languages : en
Pages : 31

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Book Description
Each poem is about mathematics, numbers, and having fun. Barbour's vibrant artwork makes each page sing.

EBOOK: Teaching Adult Numeracy: Principles & Practice

EBOOK: Teaching Adult Numeracy: Principles & Practice PDF Author: Graham Griffiths
Publisher: McGraw-Hill Education (UK)
ISBN: 0335246834
Category : Education
Languages : en
Pages : 329

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Book Description
This book offers friendly guidance on how to work with adult learners to develop their numeracy and mathematics skills. It brings together current research and practice on teaching adult numeracy into one handy volume and covers the major issues faced by teachers of adult numeracy such as current policy perspectives and implications for teaching practice. There are reflective tasks throughout, which encourage you to develop and apply your theoretical knowledge to your own experiences. Key features include: Reviews of existing policy and research and implications for practice Reflective tasks with commentary, encouraging you to develop and apply your knowledge Case studies of real student experiences Practical activities and ideas to support the planning, teaching and assessment of adult numeracy Drawing on the substantial experience of the contributors, who have a wealth of experience as practitioners and researchers in the field, this book is an essential resource for trainee and practising teachers of adult numeracy and mathematics. It is also an ideal textbook to support teacher training courses leading to a subject specific qualification in teaching numeracy to adults. Contributors: Jackie Ashton, John Barton, Carolyn Brooks, Martyn Edwards, Janette Gibney, David Holloway, David Kaye, Beth Kelly, Barbara Newmarch, Helen Oughton, David Prinn, Diana Spurr, Rebecca Woolley "This is a quite unique book about teaching adult numeracy, which will be invaluable to the many practitioners in this field. The chapters, contributed by a group of experienced and successful lecturers and practitioners, include all aspects of this field, from methods of teaching specific mathematical topics to more general explorations of dyscalculia and emotional factors in adult learners. Each chapter includes research findings and thoughtful presentation of ideas with practical ideas for teaching, and tasks for the reader. This is a market which has not been served well in the past, so it is good to see the gap filled at last." Margaret Brown, Emeritus Professor of Mathematics Education, King's College London, UK "The editors of this book set out to produce a text that would support teacher-education programmes for adult numeracy, and their book does that and more. The content covers different types of learners, different settings, different understandings of what numeracy actually is; and ranges from commentary on research through case studies to "how to" hints and tips for teaching. Chapters 7 (on provoking mathematical thinking) and 8 (attitudes, beliefs and teaching) should be a required read for any adult numeracy teacher. The book would be at home on any numeracy teacher's desk, and would make an excellent set text for numeracy teacher training courses." Carol Randall, course co-ordinator for numeracy in the department of Lifelong Learning Teacher Education, University of Greenwich, UK "This book is a welcome addition to the growing literature on adult numeracy. It should be essential reading for trainee and practising adult numeracy educators. It brings together relevant research and professional wisdom on a wide variety of aspects of adult numeracy teaching and learning in an accessible way, with well-focussed tasks for readers to extend their knowledge and understanding. While the book is born out of UK concerns and issues, it is also relevant to international readers. Highly recommended." Professor Diana Coben PhD, Director, National Centre of Literacy & Numeracy for Adults, University of Waikato, New Zealand, and Hon. Trustee, Adults Learning Mathematics - A Research Forum (ALM -- www.alm-online.net/)