Mathematical Enculturation

Author : Alan Bishop
Publisher : Springer Science & Business Media
Page : 210 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789400926578

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Mathematical Enculturation by Alan Bishop Pdf

Mathematics is in the unenviable position of being simultaneously one of the most important school subjects for today's children to study and one of the least well understood. Its reputation is awe-inspiring. Everybody knows how important it is and everybody knows that they have to study it. But few people feel comfortable with it; so much so that it is socially quite acceptable in many countries to confess ignorance about it, to brag about one's incompe tence at doing it, and even to claim that one is mathophobic! So are teachers around the world being apparently legal sadists by inflicting mental pain on their charges? Or is it that their pupils are all masochists, enjoying the thrill of self-inflicted mental torture? More seriously, do we really know what the reasons are for the mathematical activity which goes on in schools? Do we really have confidence in our criteria for judging what's important and what isn't? Do we really know what we should be doing? These basic questions become even more important when considered in the context of two growing problem areas. The first is a concern felt in many countries about the direction which mathematics education should take in the face of the increasing presence of computers and calculator-related technol ogy in society.

Author : Alan J. Bishop
Publisher : Unknown
Page : 128 pages
File Size : 45,6 Mb
Release : 2004
Category : Electronic
ISBN : OCLC:873109338

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Mathematical Enculturation by Alan J. Bishop Pdf

Author : Alan Bishop
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 46,5 Mb
Release : 1988-07-31
Category : Education
ISBN : 902772802X

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Mathematics Education and Culture by Alan Bishop Pdf

Author : Bharath Sriraman,Paul Ernest,Brian Greer
Publisher : IAP
Page : 503 pages
File Size : 40,5 Mb
Release : 2009-06-01
Category : Mathematics
ISBN : 9781607522188

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Critical Issues in Mathematics Education by Bharath Sriraman,Paul Ernest,Brian Greer Pdf

The word "critical" in the title of this collection has three meanings, all of which are relevant. One meaning, as applied to a situation or problem, is "at a point of crisis". A second meaning is "expressing adverse or disapproving comments or judgments". A third is related to the verb "to critique", meaning "to analyze the merits and faults of". The authors contributing to this book pose challenging questions, from multiple perspectives, about the roles of mathematics in society and the implications for education. Traditional reasons for teaching mathematics include: preparing a new generation of mathematics researchers and a cadre of technically competent users of mathematics; training students to think logically; and because mathematics is as much part of cultural heritage as literature or music. These reasons remain valid, though open to critique, but a deeper analysis is required that recognizes the roles of mathematics in framing many aspects of contemporary society, that will connect mathematics education to the lived experiences of students, their communities, and society in general, and that acknowledges the global ethical responsibilities of mathematicians and mathematics educators. The book is organized in four sections (1) Mathematics education: For what and why? (2) Globalization and cultural diversity, (3) Mathematics, education, and society and (4) Social justice in, and through, mathematics education The chapters address fundamental issues such as the relevance of school mathematics in people's lives; creating a sense of agency for the field of mathematics education, and redefining the relationship between mathematics as discipline, mathematics as school subject and mathematics as part of people's lives.

Author : Nélia Amado,Susana Carreira,Keith Jones
Publisher : Springer
Page : 579 pages
File Size : 47,8 Mb
Release : 2018-11-30
Category : Education
ISBN : 9783319998619

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Broadening the Scope of Research on Mathematical Problem Solving by Nélia Amado,Susana Carreira,Keith Jones Pdf

The innovative volume seeks to broaden the scope of research on mathematical problem solving in different educational environments. It brings together contributions not only from leading researchers, but also highlights collaborations with younger researchers to broadly explore mathematical problem-solving across many fields: mathematics education, psychology of education, technology education, mathematics popularization, and more. The volume’s three major themes—technology, creativity, and affect—represent key issues that are crucially embedded in the activity of problem solving in mathematics teaching and learning, both within the school setting and beyond the school. Through the book’s new pedagogical perspectives on these themes, it advances the field of research towards a more comprehensive approach on mathematical problem solving. Broadening the Scope of Research on Mathematical Problem Solving will prove to be a valuable resource for researchers and teachers interested in mathematical problem solving, as well as researchers and teachers interested in technology, creativity, and affect.

Author : Gale Russell
Publisher : Springer
Page : 16 pages
File Size : 54,6 Mb
Release : 2017-08-24
Category : Education
ISBN : 9789463510745

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Transreform Radical Humanism by Gale Russell Pdf

In Transreform Radical Humanism: A Mathematics and Teaching Philosophy, a methodological collage of auto/ethnography, Gadamerian hermeneutics, and grounded theory is used to analyze a diverse collection of data: the author’s evolving relationship with mathematics; the philosophies of mathematics; the “math wars”; the achievement gap for Indigenous students in mathematics and some of the lessons learned from ethnomathematics; and risk education as an emerging topic within mathematics curricula. Foundational to this analysis is a new theoretical framework that envelops an Indigenous worldview and the Traditional Western worldview, acting as a pair of voices (and lenses) that speak to the points of tension, conflict, and possibility found throughout the data. This analysis of the data sets results in the emergence of a new theory, the Transreform Approach to the teaching and learning of mathematics, and in the transreform radical humanistic philosophy of mathematics. Within these pages, mathematics, the teaching and learning of mathematics, hegemony, and the valuing of different kinds of knowledge and ways of knowing collide, sometimes merge, and most frequently become transformed in ways that hold promise for students, teachers, society, and even mathematics itself. As the assumed incommensurability of worldviews is challenged, so too new possibilities emerge. It is hoped that readers will not just read this work, but engage with it, exploring the kinds of knowledge and ways of knowing that they value within mathematics and the teaching and learning of mathematics and why.

Author : M.A. (Ken) Clements,Alan Bishop,Christine Keitel-Kreidt,Jeremy Kilpatrick,Frederick Koon-Shing Leung
Publisher : Springer Science & Business Media
Page : 1120 pages
File Size : 52,5 Mb
Release : 2012-11-15
Category : Mathematics
ISBN : 9781461446842

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Third International Handbook of Mathematics Education by M.A. (Ken) Clements,Alan Bishop,Christine Keitel-Kreidt,Jeremy Kilpatrick,Frederick Koon-Shing Leung Pdf

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.​

Author : Jürgen Maasz,Wolfgang Schlöglmann
Publisher : Sense Publishers
Page : 323 pages
File Size : 40,6 Mb
Release : 2006
Category : Mathematics
ISBN : 9789077874745

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New Mathematics Education Research and Practice by Jürgen Maasz,Wolfgang Schlöglmann Pdf

Mathematics education research has blossomed into many different areas which we can see in the programmes of the ICME conferences as well as in the various survey articles in the Handbooks. However, all of these lines of research are trying to grapple with a common problem, the complexity of the process of learning mathematics. Although our knowledge of the process is more extensive and deeper despite the fragmented nature of research in this area, there is still a need to overcome this fragmentation and to see learning as one process with different aspects. To overcome this fragmentation, this book identifies six themes: (1) mathematics, culture and society, (2) the structure of mathematics and its influence on the learning process, (3) mathematics learning as a cognitive process, (4) mathematics learning as a social process, (5) affective conditions of the mathematics learning process, (6) new technologies and mathematics learning. This book is addressed to all researchers in mathematic education. It gives an orientation and overview by addressing some carefully chosen questions on what is going on and what are the main results and questions what are important books or papers if further information is needed.

Author : Marcelo C. Borba,Daniel C. Orey
Publisher : Springer Nature
Page : 325 pages
File Size : 48,8 Mb
Release : 2023-06-24
Category : Education
ISBN : 9783031312939

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Ubiratan D’Ambrosio and Mathematics Education by Marcelo C. Borba,Daniel C. Orey Pdf

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.

Author : Yüksel Dede
Publisher : Springer Nature
Page : 455 pages
File Size : 40,6 Mb
Release : 2024
Category : Electronic
ISBN : 9789819994540

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VALUES AND VALUING IN MATHEMATICS EDUCATION by Yüksel Dede Pdf

Author : Philip Clarkson,Norma C. Presmeg
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 40,7 Mb
Release : 2008-09-22
Category : Education
ISBN : 9780387096735

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Critical Issues in Mathematics Education by Philip Clarkson,Norma C. Presmeg Pdf

Critical Issues in Mathematics Education presents the significant contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues, each of which have had paramount importance in the development of mathematics education research, are reviewed and include a discussion of current developments in each area. Teacher decision making, spatial/visualizing geometry, teachers and research, cultural/social aspects of mathematics education, sociopolitical issues, and values serve as the basic issues discussed in this examination of mathematics education over the last fifty years during which Professor Bishop has been active in the field. A comprehensive discussion of each of these topics is realized by offering the reader a classic research contribution of Professor Bishop’s together with commentary and invited chapters from leading experts in the field of mathematics education. Critical Issues in Mathematics Education will make an invaluable contribution to the ongoing reflection of mathematic education researchers worldwide, but also to policy makers and teacher educators who wish to understand some of the key issues with which mathematics education has been and still is concerned, and the context within which Professor Bishop’s key contributions to these research issues were made.

Author : Leslie P. Steffe,Pearla Nesher,Paul Cobb,Bharath Sriraman,Brian Greer
Publisher : Routledge
Page : 614 pages
File Size : 44,6 Mb
Release : 2013-04-03
Category : Education
ISBN : 9781136485541

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Theories of Mathematical Learning by Leslie P. Steffe,Pearla Nesher,Paul Cobb,Bharath Sriraman,Brian Greer Pdf

Chemists, working with only mortars and pestles, could not get very far unless they had mathematical models to explain what was happening "inside" of their elements of experience -- an example of what could be termed mathematical learning. This volume contains the proceedings of Work Group 4: Theories of Mathematics, a subgroup of the Seventh International Congress on Mathematical Education held at Université Laval in Québec. Bringing together multiple perspectives on mathematical thinking, this volume presents elaborations on principles reflecting the progress made in the field over the past 20 years and represents starting points for understanding mathematical learning today. This volume will be of importance to educational researchers, math educators, graduate students of mathematical learning, and anyone interested in the enterprise of improving mathematical learning worldwide.

Author : Guida de Abreu,Alan Bishop,Norma C. Presmeg
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 41,8 Mb
Release : 2006-04-11
Category : Education
ISBN : 9780306476747

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Transitions Between Contexts of Mathematical Practices by Guida de Abreu,Alan Bishop,Norma C. Presmeg Pdf

This book discusses mathematics learners in transition and their practices in different contexts; the institutional and socio-cultural framing of the transition processes involved; and the communication and negotiation of mathematical meanings during transition. Providing both empirical studies and significant theoretical reflections, it will appeal to researchers and postgraduate students in mathematics education, cultural psychology, multicultural education, immigrant and indigenous education.

Author : Alan J. Bishop
Publisher : Springer Science & Business Media
Page : 678 pages
File Size : 49,8 Mb
Release : 1996
Category : Education
ISBN : 0792335333

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International Handbook of Mathematics Education by Alan J. Bishop Pdf

This Handbook presents an overview and analysis of the international `state-of-the-field' of mathematics education at the end of the 20th century. The more than 150 authors, editors and chapter reviewers involved in its production come from a range of countries and cultures. They have created a book of 36 original chapters in four sections, surveying the variety of practices, and the range of disciplinary interconnections, which characterise the field today, and providing perspectives on the study of mathematics education for the 21st century. It is first and foremost a reference work, and will appeal to anyone seeking up-to-date knowledge about the main developments in mathematics education. These will include teachers, student teachers and student researchers starting out on a serious study of the subject, as well as experienced researchers, teacher educators, educational policy-makers and curriculum developers who need to be aware of the latest areas of knowledge development.

Author : Mircea Pitici,William P. Thurston
Publisher : Princeton University Press
Page : 435 pages
File Size : 54,6 Mb
Release : 2011
Category : Literary Collections
ISBN : 9780691148410

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The Best Writing on Mathematics 2010 by Mircea Pitici,William P. Thurston Pdf

This anthology also includes a foreword by esteemed mathematician William Thurston and an informative introduction by Mircea Pitici. --Book Jacket.