Essays In Humanistic Mathematics
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Essays In Humanistic Mathematics
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Author : Alvin Murray White
language : en
Publisher: MAA Press
Release Date : 1993
Essays In Humanistic Mathematics written by Alvin Murray White and has been published by MAA Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.
Proof And Other Dilemmas
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Author : Bonnie Gold
language : en
Publisher: MAA
Release Date : 2008
Proof And Other Dilemmas written by Bonnie Gold and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
During the first 75 years of the twentieth century almost all work in the philosophy of mathematics concerned foundational questions. In the last quarter of the century, philosophers of mathematics began to return to basic questions concerning the philosophy of mathematics such as, what is the nature of mathematical knowledge and of mathematical objects, and how is mathematics related to science? Two new schools of philosophy of mathematics, social constructivism and structuralism, were added to the four traditional views (formalism, intuitionalism, logicism, and platonism). The advent of the computer led to proofs and the development of mathematics assisted by computer, and to questions of the role of the computer in mathematics. This book of 16 essays, all written specifically for this volume, is the first to explore this range of new developments in a language accessible to mathematicians. Approximately half the essays were written by mathematicians, and consider questions that philosophers are not yet discussing. The other half, written by philsophers of mathematics, summarize the discussion in that community during the last 35 years. In each case, a connection is made to issues relevant to the teach of mathematics.
Using History To Teach Mathematics
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Author : Victor J. Katz
language : en
Publisher: Cambridge University Press
Release Date : 2000-09-21
Using History To Teach Mathematics written by Victor J. Katz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-21 with Education categories.
This volume examines how the history of mathematics can find application in the teaching of mathematics itself.
Encyclopedia Of Mathematics Education
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Author : Louise Grinstein
language : en
Publisher: Routledge
Release Date : 2001-03-15
Encyclopedia Of Mathematics Education written by Louise Grinstein and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-15 with Education categories.
This single-volume reference is designed for readers and researchers investigating national and international aspects of mathematics education at the elementary, secondary, and post-secondary levels. It contains more than 400 entries, arranged alphabetically by headings of greatest pertinence to mathematics education. The scope is comprehensive, encompassing all major areas of mathematics education, including assessment, content and instructional procedures, curriculum, enrichment, international comparisons, and psychology of learning and instruction.
Humanizing Mathematics And Its Philosophy
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Author : Bharath Sriraman
language : en
Publisher: Birkhäuser
Release Date : 2017-11-07
Humanizing Mathematics And Its Philosophy written by Bharath Sriraman and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-07 with Mathematics categories.
This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.
New Directions In The Philosophy Of Mathematics
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Author : Thomas Tymoczko
language : en
Publisher: Princeton University Press
Release Date : 1998-02
New Directions In The Philosophy Of Mathematics written by Thomas Tymoczko and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-02 with Mathematics categories.
The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics--one that addresses issues of theoretical importance in terms of mathematical experience. By bringing together essays of leading philosophers, mathematicians, logicians, and computer scientists, Thomas Tymoczko reveals an evolving effort to account for the nature of mathematics in relation to other human activities. These accounts include such topics as the history of mathematics as a field of study, predictions about how computers will influence the future organization of mathematics, and what processes a proof undergoes before it reaches publishable form. This expanded edition now contains essays by Penelope Maddy, Michael D. Resnik, and William P. Thurston that address the nature of mathematical proofs. The editor has provided a new afterword and a supplemental bibliography of recent work.
Ubiratan D Ambrosio And Mathematics Education
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Author : Marcelo C. Borba
language : en
Publisher: Springer Nature
Release Date : 2023-06-24
Ubiratan D Ambrosio And Mathematics Education written by Marcelo C. Borba and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-24 with Education categories.
This edited volume is written in memoriam of Professor Emeritus Ubiratan D’Ambrosio (1932 – 2021), who was a well-known Brazilian mathematics educator and historian of mathematics. This book explores the diverse facets of D’Ambrosio’s work as well as his legacy and the later adaptation of his ideas around the globe. It starts with a preface written by his son, Alexandre D' Ambrosio, who shares his personal experiences growing up with this father and his love for discovery. The book is then divided into four sections: Past and Future: Ubi’s Way of Seeing Education in the Present Roots of Ethnomathematics Ethnomathematics in Action Trends in Ethnomathematics It features diverse points of view and experiences that explore mathematics and culture from researchers in the Americas, Africa, Europe and South Asia. Chapters range from personal explorations of D’Ambrosio’s impact to broader views of his research and work. This book forms part of the growing understanding of Ubiratan D’Ambrosio’s life, research, and the legacy he has left for millions of researchers, students and teachers worldwide. This book is appealing to anyone involved in mathematics education research as well as those interested in the history and future of mathematics education.
International Handbook Of Mathematics Education
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Author : Alan Bishop
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
International Handbook Of Mathematics Education written by Alan Bishop and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
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.
Writing In The Teaching And Learning Of Mathematics
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Author : John Meier
language : en
Publisher: Cambridge University Press
Release Date : 1998-09-17
Writing In The Teaching And Learning Of Mathematics written by John Meier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-17 with Mathematics categories.
This book examines the hows and whys of writing in mathematics.
Mod Methods Of Teac Mathem
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Author : Deepak Dayal
language : en
Publisher: APH Publishing
Release Date : 2009
Mod Methods Of Teac Mathem written by Deepak Dayal and has been published by APH Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.