Proof and Proving in Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 9400721293
Total Pages : 468 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Proof and Proving in Mathematics Education by : Gila Hanna

Download or read book Proof and Proving in Mathematics Education written by Gila Hanna and published by Springer Science & Business Media. This book was released on 2012-06-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.

International Handbook of Mathematics Education

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Publisher : Springer Science & Business Media
ISBN 13 : 9400914652
Total Pages : 1336 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis International Handbook of Mathematics Education by : Alan Bishop

Download or read book International Handbook of Mathematics Education written by Alan Bishop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.

One Hundred Years of L'Enseignement Mathematique

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Publisher :
ISBN 13 :
Total Pages : 340 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis One Hundred Years of L'Enseignement Mathematique by : Daniel F. Coray

Download or read book One Hundred Years of L'Enseignement Mathematique written by Daniel F. Coray and published by . This book was released on 2003 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Portraits des fondateurs de la revue "L'Enseignement mathématique" fondé à Genève par Charles Ange Laisant et Henri Fehr.

Mathematics Education and Language Diversity

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Publisher : Springer
ISBN 13 : 3319145118
Total Pages : 321 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Mathematics Education and Language Diversity by : Richard Barwell

Download or read book Mathematics Education and Language Diversity written by Richard Barwell and published by Springer. This book was released on 2015-11-25 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: *THIS BOOK WILL SOON BECOME AVAILABLE AS OPEN ACCESS BOOK* This book examines multiple facets of language diversity and mathematics education. It features renowned authors from around the world and explores the learning and teaching of mathematics in contexts that include multilingual classrooms, indigenous education, teacher education, blind and deaf learners, new media and tertiary education. Each chapter draws on research from two or more countries to illustrate important research findings, theoretical developments and practical strategies. This open access book examines multiple facets of language diversity

Handbook of International Research in Mathematics Education

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Publisher : Routledge
ISBN 13 : 1135192839
Total Pages : 830 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Handbook of International Research in Mathematics Education by : Lyn D. English

Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.

New Trends in Mathematics Teaching

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Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis New Trends in Mathematics Teaching by : Unesco

Download or read book New Trends in Mathematics Teaching written by Unesco and published by . This book was released on 1967 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Foundations to Philosophy of Mathematics

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443834793
Total Pages : 230 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis From Foundations to Philosophy of Mathematics by : Joan Roselló

Download or read book From Foundations to Philosophy of Mathematics written by Joan Roselló and published by Cambridge Scholars Publishing. This book was released on 2011-10-18 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Foundations to Philosophy of Mathematics provides an historical introduction to the most exciting period in the foundations of mathematics, starting with the discovery of the paradoxes of logic and set theory at the beginning of the twentieth century and continuing with the great foundational debate that took place in the 1920s. As a result of the efforts of several mathematicians and philosophers during this period to ground mathematics and to clarify its nature from a certain philosophical standpoint, the four main schools in the philosophy of mathematics that have largely dominated the twentieth century arose, namely, logicism, intuitionism, formalism and predicativism. It was due precisely to the insufficiencies of the first three foundational programs and the objections raised against them, that interest in Platonism was renewed in the 1940s, mainly by Gödel. Not only does this book pay special attention to the foundational programs of these philosophies of mathematics, but also to some technical accomplishments that were developed in close connection with them and have largely shaped our understanding of the nature of mathematics, such as Russell’s type theory, Zermelo’s set theory and Gödel’s incompleteness theorems. Finally, it also examines some current research programs that have been pursued in the last decades and have tried, at least to some extent, to show the feasibility of the foundational programs developed in the schools mentioned above. This is the case of neologicism, constructivism, and predicativist and finitist reductionism, this last one developed closely with the research program of reverse mathematics.

Actes Du 7e Congrès International Sur L'enseignement Des Mathématiques

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Publisher : Presses Université Laval
ISBN 13 : 9782763773629
Total Pages : 540 pages
Book Rating : 4.7/5 (736 download)

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Book Synopsis Actes Du 7e Congrès International Sur L'enseignement Des Mathématiques by : Claude Gaulin

Download or read book Actes Du 7e Congrès International Sur L'enseignement Des Mathématiques written by Claude Gaulin and published by Presses Université Laval. This book was released on 1994 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Educational Paths to Mathematics

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Publisher : Springer
ISBN 13 : 3319154109
Total Pages : 477 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Educational Paths to Mathematics by : Uwe Gellert

Download or read book Educational Paths to Mathematics written by Uwe Gellert and published by Springer. This book was released on 2015-05-18 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers fresh insight and understanding of the many ways in which children, youth and adults may find their paths to mathematics. The chapters of the volume offer and analyse promising new ways into mathematics. The focus is on spaces and modalities of learning, dialogue and inquiry, embodiment and aesthetic experience, information and communication technology and on the use of mathematics in public communication. The chapters present new mathematical activities and conceptions enriching the repertoire of mathematics education practices. Critical commentaries discuss the innovative potential of the new approaches to the teaching and learning of mathematics. As a consequence, the commentaries point to requirements and open issues in the field of research in mathematics education. The volume is remarkably international. Teachers and researchers from 14 countries authored 21 chapters and 7 commentaries. The reader is invited to reflect on the particular effect of presenting avenues to mathematics contrived in diverse national settings in which the praxis of mathematics education might look different compared to what happens in the reader’s place. The book starts a series of sourcebooks edited by CIEAEM, the Commission Internationale pour l’Etude et l’Amélioration de l’Enseignement des Mathématiques / International Commission for the Study and Improvement of Mathematics Education.

History and Philosophy of Modern Mathematics

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Publisher : U of Minnesota Press
ISBN 13 : 0816615675
Total Pages : 396 pages
Book Rating : 4.8/5 (166 download)

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Book Synopsis History and Philosophy of Modern Mathematics by : William Aspray

Download or read book History and Philosophy of Modern Mathematics written by William Aspray and published by U of Minnesota Press. This book was released on 1988 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.

Proceedings

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Publisher :
ISBN 13 :
Total Pages : 692 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Proceedings by :

Download or read book Proceedings written by and published by . This book was released on 1913 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Revue Semestrielle Des Publications Mathématiques

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Publisher :
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.U/5 (183 download)

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Book Synopsis Revue Semestrielle Des Publications Mathématiques by :

Download or read book Revue Semestrielle Des Publications Mathématiques written by and published by . This book was released on 1908 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the Fifth International Congress of Mathematicians

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Publisher :
ISBN 13 :
Total Pages : 670 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Proceedings of the Fifth International Congress of Mathematicians by : Ernest William Hobson

Download or read book Proceedings of the Fifth International Congress of Mathematicians written by Ernest William Hobson and published by . This book was released on 1913 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interdisciplinary Works in Logic, Epistemology, Psychology and Linguistics

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Publisher : Springer
ISBN 13 : 3319030442
Total Pages : 371 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Interdisciplinary Works in Logic, Epistemology, Psychology and Linguistics by : Manuel Rebuschi

Download or read book Interdisciplinary Works in Logic, Epistemology, Psychology and Linguistics written by Manuel Rebuschi and published by Springer. This book was released on 2014-06-30 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents comparisons of recent accounts in the formalization of natural language (dynamic logics and formal semantics) with informal conceptions of interaction (dialogue, natural logic and attribution of rationality) that have been developed in both psychology and epistemology. There are four parts which explore: historical and systematic studies; the formalization of context in epistemology; the formalization of reasoning in interactive contexts in psychology; the formalization of pathological conversations. Part one discusses the Erlangen School, which proposed a logical analysis of science as well as an operational reconstruction of psychological concepts. These first chapters provide epistemological and psychological insights into a conceptual reassessment of rational reconstruction from a pragmatic point of view. The second focus is on formal epistemology, where there has recently been a vigorous contribution from experts in epistemic and doxatic logics and an attempt to account for a more realistic, cognitively plausible conception of knowledge. The third part of this book examines the meeting point between logic and the human and social sciences and the fourth part focuses on research at the intersection between linguistics and psychology. Internationally renowned scholars have contributed to this volume, building on the findings and themes relevant to an interdisciplinary scientific project called DiaRaFor (“Dialogue, Rationality, Formalisms”) which was hosted by the MSH Lorraine (Lorraine Institute for Social Sciences and Humanities) from 2007 to 2011.

Logic in Question

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Publisher : Springer Nature
ISBN 13 : 3030944522
Total Pages : 743 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Logic in Question by : Jean-Yves Béziau

Download or read book Logic in Question written by Jean-Yves Béziau and published by Springer Nature. This book was released on 2023-01-11 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume collects papers related to the Logic in Question workshop, which has taken place annually at Sorbonne University in Paris since 2011. Each year, the workshop brings together historians, philosophers, mathematicians, linguists, and computer scientists to explore questions related to the nature of logic and how it has developed over the years. As a result, chapter authors provide a thorough, interdisciplinary exploration of topics that have been studied in the workshop. Organized into three sections, the first part of the book focuses on historical questions related to logic, the second explores philosophical questions, and the third section is dedicated to mathematical discussions. Specific topics include: • logic and analogy• Chinese logic• nineteenth century British logic (in particular Boole and Lewis Carroll)• logical diagrams • the place and value of logic in Louis Couturat’s philosophical thinking• contributions of logical analysis for mathematics education• the exceptionality of logic• the logical expressive power of natural languages• the unification of mathematics via topos theory Logic in Question will appeal to pure logicians, historians of logic, philosophers, linguists, and other researchers interested in the history of logic, making this volume a unique and valuable contribution to the field.

Revue Semestrielle Des Publications Mathematiques

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Publisher :
ISBN 13 :
Total Pages : 730 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Revue Semestrielle Des Publications Mathematiques by :

Download or read book Revue Semestrielle Des Publications Mathematiques written by and published by . This book was released on 1895 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Mathematics Teaching

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Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis New Trends in Mathematics Teaching by :

Download or read book New Trends in Mathematics Teaching written by and published by . This book was released on 1972 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: