Download or read book Intensional Mathematics written by S. Shapiro and published by Elsevier. This book was released on 1985-01-01 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``Platonism and intuitionism are rival philosophies of Mathematics, the former holding that the subject matter of mathematics consists of abstract objects whose existence is independent of the mathematician, the latter that the subject matter consists of mental construction... both views are implicitly opposed to materialistic accounts of mathematics which take the subject matter of mathematics to consist (in a direct way) of material objects...'' FROM THE INTRODUCTIONAmong the aims of this book are: - The discussion of some important philosophical issues using the precision of mathematics. - The development of formal systems that contain both classical and constructive components. This allows the study of constructivity in otherwise classical contexts and represents the formalization of important intensional aspects of mathematical practice. - The direct formalization of intensional concepts (such as computability) in a mixed constructive/classical context.

Download or read book Pluralism in Mathematics A New Position in Philosophy of Mathematics written by Michèle Friend and published by Springer Science & Business Media. This book was released on 2013-11-20 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about philosophy, mathematics and logic, giving a philosophical account of Pluralism which is a family of positions in the philosophy of mathematics. There are four parts to this book, beginning with a look at motivations for Pluralism by way of Realism, Maddy’s Naturalism, Shapiro’s Structuralism and Formalism. In the second part of this book the author covers: the philosophical presentation of Pluralism; using a formal theory of logic metaphorically; rigour and proof for the Pluralist; and mathematical fixtures. In the third part the author goes on to focus on the transcendental presentation of Pluralism, and in part four looks at applications of Pluralism, such as a Pluralist approach to proof in mathematics and how Pluralism works in regard to together-inconsistent philosophies of mathematics. The book finishes with suggestions for further Pluralist enquiry. In this work the author takes a deeply radical approach in developing a new position that will either convert readers, or act as a strong warning to treat the word ‘pluralism’ with care.

Download or read book Relation Philosophy of Mathematics Science and Mind written by Helier J. Robinson and published by Lulu.com. This book was released on 2007-09 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Foundations Logic Language and Mathematics written by Hugues Leblanc and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The more traditional approaches to the history and philosophy of science and technology continue as well, and probably will continue as long as there are skillful practitioners such as Carl Hempel, Ernest Nagel, and th~ir students. Finally, there are still other approaches that address some of the technical problems arising when we try to provide an account of belief and of rational choice. - These include efforts to provide logical frameworks within which we can make sense of these notions. This series will attempt to bring together work from all of these approaches to the history and philosophy of science and technology in the belief that each has something to add to our understanding. The volumes of this series have emerged either from lectures given by authors while they served as honorary visiting professors at the City College of New York or from conferences sponsored by that institution. The City College Program in the History and Philosophy of Science and Technology oversees and directs these lectures and conferences with the financial aid of the Association for Philosophy of Science, Psychotheraphy, and Ethics. MARTIN TAMNY RAPHAEL STERN PREFACE The papers in this collection stem largely from the conference 'Foun dations: Logic, Language, and Mathematics' held at the Graduate Center of the City University of New York on 14-15 November 1980.

Download or read book International Perspectives on Mathematics Curriculum written by Denisse R Thompson and published by IAP. This book was released on 2018-01-01 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curriculum can be defined in a variety of ways. It might be viewed as a body of knowledge, a product, or a process. Curricula can differ as they are conceptualized from various theoretical perspectives to address the needs of teachers, students, and the context of schooling. One reason to study curriculum is “to reveal the expectations, processes and outcomes of students’ school learning experiences that are situated in different cultural and system contexts. … further studies of curriculum practices and changes are much needed to help ensure the success of educational reforms in the different cultural and system contexts” (Kulm & Li, 2009, p. 709). This volume highlights international perspectives on curriculum and aims to broaden the wider mathematics education community’s understandings of mathematics curriculum through viewing a variety of ways that curricula are developed, understood, and implemented in different jurisdictions/countries. Within this volume, we define curriculum broadly as the set of mathematics standards or outcomes, the messages inherent in mathematics curriculum documents and resources, how these standards are understood by a variety of stakeholders, and how they are enacted in classrooms. The focus is on the written, implied, and enacted curriculum in various educational settings throughout the world.

Download or read book International Mathematics for the Middle Years written by Alan McSeveny and published by . This book was released on 2009 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth book in the five book International Mathematics for the Middle Years series. Each full-colour student book in the series comes with an interactive student CD and includes access to online resources for both teachers and students. International Mathematics for the Middle Years has been developed with the international student in mind. This series is particularly beneficial to students studying the International Baccalaureate Middle Years Program. All examples and exercises take an international viewpoint, giving students an opportunity to learn Mathematics with a global perspective. The content is appropriate for international curricula and will meet the needs of all middle school students studying Mathematics.

Download or read book Mathematical Problems from Applied Logic II written by Dov Gabbay and published by Springer Science & Business Media. This book was released on 2007-07-28 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions from world-renowned logicians, discussing important topics of logic from the point of view of their further development in light of requirements arising from successful application in Computer Science and AI language. Coverage includes: the logic of provability, computability theory applied to biology, psychology, physics, chemistry, economics, and other basic sciences; computability theory and computable models; logic and space-time geometry; hybrid systems; logic and region-based theory of space.

Download or read book International Mathematics Conference 94 written by Ngai-ching Wong and published by World Scientific. This book was released on 1996-01-15 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume collects 24 papers out of the 130 presentations at the International Mathematics Conference '94, Kaohsiung. The papers cover a wide range of current research interests in the pacific region.

Download or read book What the Third International Mathematics and Science Study TIMSS Means for Systemic School Improvement written by National Institute on Educational Governance, Finance, Policymaking, and Management (U.S.) and published by U.S. Government Printing Office. This book was released on 1998 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: To explore the policy implications of the Third International Mathematics and Science Study (TIMSS), the National Institute on Educational Governance, Finance, Policymaking, and Management of the Office of Educational Research and Improvement (OERI) in the U.S. Department of Education, and the Consortium for Policy Research in Education held a TIMSS Policy Forum in Washington, D.C. in October, 1997. This forum brought together a diverse group of TIMSS researchers, state and local policymakers, teachers, school administrators, mathematics and science specialists, business representatives, university educators, and federal officials. Participants discussed what TIMSS means for systemic education reform and identified several future directions for policy decisions and policy research. This policy brief synthesizes the presentations and discussions that occurred during the TIMSS Policy Forum and draws from the TIMSS reports of the National Center for Education Statistics (NCES) and from papers prepared by researchers involved in TIMSS. (ASK)

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.

Download or read book Third International Handbook of Mathematics Education written by M.A. (Ken) Clements and published by Springer Science & Business Media. This book was released on 2012-11-15 with total page 1119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.​

Download or read book International Comparisons in Mathematics Education written by Ian Huntly and published by Routledge. This book was released on 2012-10-12 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A critical overview of the current debate and topical thinking on international comparative investigations in mathematics education. The contributors are all major figures in international comparisons in mathematics. The book highlights strengths and weaknesses in various systems worldwide, allowing teachers, researchers and academics to compare and contrast different approaches. A significant contribution to the international debate on standards in mathematics.

Download or read book Second International Handbook of Mathematics Education written by Alan Bishop and published by Springer Science & Business Media. This book was released on 2012-02-02 with total page 978 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALAN 1. BISHOP The first International Handbook on Mathematics Education was published by Kluwer Academic Publishers in 1996. However, most of the writing for that handbook was done in 1995 and generally reflected the main research and development foci prior to 1994. There were four sections, 36 chapters, and some 150 people contributed to the final volume either as author, reviewer, editor, or critical friend. The task was a monumental one, attempting to cover the major research and practice developments in the international field of mathematics education as it appeared to the contributors in 1995. Inevitably there were certain omissions, some developments were only starting to emerge, and some literatures were only sketchy and speculative. However that Handbook has had to be reprinted three times, so it clearly fulfilled a need and I personally hope that it lived up to what I wrote in its Introduction: The Handbook thus attempts not merely to present a description of the international 'state-of-the-field', but also to offer synthetic and reflective overviews on the different directions being taken by the field, on the gaps existing in our present knowledge, on the current problems being faced, and on the future possibilities for development. (Bishop et aI. , 1996) Since that time there has been even more activity in our field, and now seems a good time to take stock again, to reflect on what has happened since 1995, and to create a second Handbook with the same overall goals.

Download or read book Proceedings of the 2nd Annual International Conference on Mathematics Science and Technology Education 2nd AICMSTE written by Rahmah Johar and published by Springer Nature. This book was released on 2024 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zusammenfassung: This is an open access book. The Organizing Committee of the Conference is delighted to invite you to participate in the 2nd International Conference on Mathematics, Science, and Technology Education (AICMSTE) 2023, which is expected to be held September 18-19, 2023, at Universitas Syiah Kuala, Banda Aceh, Indonesia. This year, the conference is hybrid to reach a larger international audience and diversity. This is a hybrid conference to reach a larger international audience and diversity. We look forward to meeting you in Banda Aceh

Download or read book What Matters Research Trends in International Comparative Studies in Mathematics Education written by Ji-Won Son and published by Springer. This book was released on 2017-03-03 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique international comparative perspective on diverse issues and practices in mathematics education between and among the US and five high-performing TIMSS education systems, Japan, China, Singapore, South Korea, and Taiwan. The book offers multiple perspectives on the important factors that contribute to mathematics teaching and learning in different educational systems and cultural contexts. Using large scale data generated by numerous international comparative studies, the book analyzes and provides context for various methodological perspectives. The book raises compelling questions and issues for mathematics education researchers, leading to a critical examination of what can be learned from other education systems. Authors address four major research perspectives by critically examining cross-national similarities and differences, such as research on the influence of curriculum on student learning; research on institutional systems of mathematics teacher education; research on improving teacher knowledge and pedagogical approaches; and research using large-scale data. This collection of perspectives serves as a foundation for reviewing and analyzing the international comparative studies introduced in the book.

Download or read book International Mathematics and Science Assessments written by Elliott A. Medrich and published by DIANE Publishing. This book was released on 1992 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summarizes six international studies of math and science over the past 25 years, describing each study and its primary results. Also draws together critical and heretofore inaccessible documentation that are required to evaluate the quality of the surveys, including studies of Japanese students. Over 75 charts and tables.

Download or read book Proceedings of the 13th International Congress on Mathematical Education written by Gabriele Kaiser and published by Springer. This book was released on 2017-10-31 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is open access under a CC BY 4.0 license. The book presents the Proceedings of the 13th International Congress on Mathematical Education (ICME-13) and is based on the presentations given at the 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 brought together about 3.500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. Directly before the congress activities were offered for 450 Early Career Researchers. The proceedings give a comprehensive overview on the current state-of-the-art of the discussions on mathematics education and display the breadth and deepness of current research on mathematical teaching-and-learning processes. The book introduces the major activities of ICME-13, namely articles from the four plenary lecturers and two plenary panels, articles from the five ICMI awardees, reports from six national presentations, three reports from the thematic afternoon devoted to specific features of ICME-13. Furthermore, the proceedings contain descriptions of the 54 Topic Study Groups, which formed the heart of the congress and reports from 29 Discussion Groups and 31 Workshops. The additional important activities of ICME-13, namely papers from the invited lecturers, will be presented in the second volume of the proceedings.