Constructivism In Mathematics
DOWNLOAD eBooks
Download Constructivism In Mathematics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Constructivism In Mathematics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Radical Constructivism In Mathematics Education
DOWNLOAD eBooks
Author : E. Glasersfeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Radical Constructivism In Mathematics Education written by E. Glasersfeld 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 2006-04-11 with Education categories.
Mathematics is the science of acts without things - and through this, of things one can define by acts. 1 Paul Valéry The essays collected in this volume form a mosaik of theory, research, and practice directed at the task of spreading mathematical knowledge. They address questions raised by the recurrent observation that, all too frequently, the present ways and means of teaching mathematics generate in the student a lasting aversion against numbers, rather than an understanding of the useful and sometimes enchanting things one can do with them. Parents, teachers, and researchers in the field of education are well aware of this dismal situation, but their views about what causes the wide-spread failure and what steps should be taken to correct it have so far not come anywhere near a practicable consensus. The authors of the chapters in this book have all had extensive experience in teaching as well as in educational research. They approach the problems they have isolated from their own individual perspectives. Yet, they share both an overall goal and a specific fundamental conviction that characterized the efforts about which they write here. The common goal is to find a better way to teach mathematics. The common conviction is that knowledge cannot simply be transferred ready-made from parent to child or from teacher to student but has to be actively built up by each learner in his or her own mind.
Constructivism In Mathematics
DOWNLOAD eBooks
Author : A.S. Troelstra
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Constructivism In Mathematics written by A.S. Troelstra and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras. The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The text then examines proof theory of intuitionistic logic, theory of types and constructive set theory, and choice sequences. The book elaborates on semantical completeness, sheaves, sites, and higher-order logic, and applications of sheaf models. Topics include a derived rule of local continuity, axiom of countable choice, forcing over sites, sheaf models for higher-order logic, and complete Heyting algebras. The publication is a valuable reference for mathematicians and researchers interested in mathematics and logic.
Constructivism In Mathematics Vol 1
DOWNLOAD eBooks
Author : A.S. Troelstra
language : en
Publisher: Elsevier
Release Date : 1988-07-01
Constructivism In Mathematics Vol 1 written by A.S. Troelstra and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-01 with Computers categories.
These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, up-to-date introduction to the metamathematics of constructive mathematics, paying special attention to Intuitionism, Markov's constructivism and Martin-Lof's type theory with its operational semantics. A detailed exposition of the basic features of constructive mathematics, with illustrations from analysis, algebra and topology, is provided, with due attention to the metamathematical aspects. Volume 1 is a self-contained introduction to the practice and foundations of constructivism, and does not require specialized knowledge beyond basic mathematical logic. Volume 2 contains mainly advanced topics of a proof-theoretical and semantical nature.
Constructivism In Mathematics Vol 2
DOWNLOAD eBooks
Author : A.S. Troelstra
language : en
Publisher: Elsevier Science
Release Date : 1988-11-15
Constructivism In Mathematics Vol 2 written by A.S. Troelstra and has been published by Elsevier Science this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-11-15 with Mathematics categories.
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras. The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The text then examines proof theory of intuitionistic logic, theory of types and constructive set theory, and choice sequences. The book elaborates on semantical completeness, sheaves, sites, and higher-order logic, and applications of sheaf models. Topics include a derived rule of local continuity, axiom of countable choice, forcing over sites, sheaf models for higher-order logic, and complete Heyting algebras. The publication is a valuable reference for mathematicians and researchers interested in mathematics and logic.
Investigating Mathematics Teaching
DOWNLOAD eBooks
Author : Barbara Jaworski
language : en
Publisher: Routledge
Release Date : 2002-11-01
Investigating Mathematics Teaching written by Barbara Jaworski and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-01 with Education categories.
Barbara Jaworski addresses a number of questions that are central to research on reform in mathematics education today. In this volume she attempts to chart critically yet honestly her own developing ideas as she undertakes a several-year-long enquiry into mathematics teaching and gives a very personal account of her developing conceptions, conjectures, thoughts and reflections. The author accounts for her research both genetically and biographically, simultaneously restructuring the development of her ideas and giving a rigorous, critical and reflective account.
Radical Constructivism In Action
DOWNLOAD eBooks
Author : Leslie P. Steffe
language : en
Publisher: Routledge
Release Date : 2002-11
Radical Constructivism In Action written by Leslie P. Steffe and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11 with Education categories.
Over the last twenty-five years Ernst von Glasersfeld has had a tremendous impact on mathematics and science education through his fundamental insights into the nature of knowledge and knowing. Radical Constructivism in Action is a new volume of papers honouring his work by building on his model of knowing. The contributions by leading researchers present constructivism in action, tying the authors' actions regarding practical problems of mathematics and science education, philosophy, and sociology to their philosophical constraints, giving meaning to constructivism operationally. The book begins with a retrospective analogy between radical constructivism's emergence and changes in what is thought of as "certain" scientific knowledge. It aims to increase understanding of constructivism and Glasersfeld's achievement, and is vibrant evidence of the continued vitality of research in the constructivism tradition.
Social Constructivism As A Philosophy Of Mathematics
DOWNLOAD eBooks
Author : Paul Ernest
language : en
Publisher: SUNY Press
Release Date : 1998-01-01
Social Constructivism As A Philosophy Of Mathematics written by Paul Ernest and has been published by SUNY Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Philosophy categories.
Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.
Constructivism In Mathematics
DOWNLOAD eBooks
Author : Anne S. Troelstra
language : en
Publisher:
Release Date : 1988
Constructivism In Mathematics written by Anne S. Troelstra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Radical Constructivism In Mathematics Education
DOWNLOAD eBooks
Author : E. von Glasersfeld
language : en
Publisher:
Release Date : 2014-01-15
Radical Constructivism In Mathematics Education written by E. von Glasersfeld and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Constructivist Views On The Teaching And Learning Of Mathematics
DOWNLOAD eBooks
Author : Robert Benjamin Davis
language : en
Publisher:
Release Date : 1990
Constructivist Views On The Teaching And Learning Of Mathematics written by Robert Benjamin Davis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Education categories.
Constructivist views on the teaching and learning of mathematics (Journal for research in mathematics education).