Crossroads In The History Of Mathematics And Mathematics Education

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Crossroads in the History of Mathematics and Mathematics Education

Bharath Sriraman
Crossroads in the History of Mathematics and Mathematics Education Book PDF

Author : Bharath Sriraman
Publisher : IAP
Page : 383 pages
File Size : 40,7 Mb
Release : 2012-07-01
Category : Education
ISBN : 9781617357060

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Crossroads in the History of Mathematics and Mathematics Education by Bharath Sriraman Pdf

The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning of the history of mathematics and other undergraduate topics. In this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers.

Mathematics, Education and History

Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis
Mathematics Education and History Book PDF

Author : Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis
Publisher : Springer
Page : 387 pages
File Size : 50,8 Mb
Release : 2018-03-30
Category : Education
ISBN : 9783319739243

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Mathematics, Education and History by Kathleen M. Clark,Tinne Hoff Kjeldsen,Sebastian Schorcht,Constantinos Tzanakis Pdf

This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.

International Perspectives on Social Justice in Mathematics Education

Bharath Sriraman
International Perspectives on Social Justice in Mathematics Education Book PDF

Author : Bharath Sriraman
Publisher : IAP
Page : 261 pages
File Size : 48,5 Mb
Release : 2007-12-01
Category : Mathematics
ISBN : 9781607526148

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International Perspectives on Social Justice in Mathematics Education by Bharath Sriraman Pdf

International Perspectives and Research on Social Justice in Mathematics Education is the highly acclaimed inaugural monograph of The Montana Mathematics Enthusiast now available through IAP. The book covers prescient social, political and ethical issues for the domain of education in general and mathematics education in particular from the perspectives of critical theory, feminist theory and social justice research. The major themes in the book are (1) relevant mathematics, teaching and learning practices for minority and marginalized students in Australia, Brazil, South Africa, Israel, Palestine, and the United States., (2) closing the achievement gap in the U.K, U.S and Iceland across classes, ethnicities and gender, and (3) the political dimensions of mathematics. The fourteen chapters are written by leading researchers in the international community interested and active in research issues of equity and social justice.

International Handbook of Research in History, Philosophy and Science Teaching

Michael R. Matthews
International Handbook of Research in History Philosophy and Science Teaching Book PDF

Author : Michael R. Matthews
Publisher : Springer
Page : 2487 pages
File Size : 50,7 Mb
Release : 2014-07-03
Category : Education
ISBN : 9789400776548

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International Handbook of Research in History, Philosophy and Science Teaching by Michael R. Matthews Pdf

This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the field, it lays down a much-needed marker of progress to date and provides a platform for informed and coherent future analysis and research of the subject. The publication comes at a time of heightened worldwide concern over the standard of science and mathematics education, attended by fierce debate over how best to reform curricula and enliven student engagement in the subjects. There is a growing recognition among educators and policy makers that the learning of science must dovetail with learning about science; this handbook is uniquely positioned as a locus for the discussion. The handbook features sections on pedagogical, theoretical, national, and biographical research, setting the literature of each tradition in its historical context. It reminds readers at a crucial juncture that there has been a long and rich tradition of historical and philosophical engagements with science and mathematics teaching, and that lessons can be learnt from these engagements for the resolution of current theoretical, curricular and pedagogical questions that face teachers and administrators. Science educators will be grateful for this unique, encyclopaedic handbook, Gerald Holton, Physics Department, Harvard University This handbook gathers the fruits of over thirty years’ research by a growing international and cosmopolitan community Fabio Bevilacqua, Physics Department, University of Pavia

Developing Research in Mathematics Education

Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Developing Research in Mathematics Education Book PDF

Author : Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Publisher : Taylor & Francis
Page : 313 pages
File Size : 42,6 Mb
Release : 2018-04-27
Category : Education
ISBN : 9781351625418

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Developing Research in Mathematics Education by Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven Pdf

Developing Research in Mathematics Education is the first book in the series New Perspectives on Research in Mathematics Education, to be produced in association with the prestigious European Society for Research in Mathematics Education. This inaugural volume sets out broad advances in research in mathematics education which have accumulated over the last 20 years through the sustained exchange of ideas and collaboration between researchers in the field. An impressive range of contributors provide specifically European and complementary global perspectives on major areas of research in the field on topics that include: the content domains of arithmetic, geometry, algebra, statistics, and probability; the mathematical processes of proving and modeling; teaching and learning at specific age levels from early years to university; teacher education, teaching and classroom practices; special aspects of teaching and learning mathematics such as creativity, affect, diversity, technology and history; theoretical perspectives and comparative approaches in mathematics education research. This book is a fascinating compendium of state-of-the-art knowledge for all mathematics education researchers, graduate students, teacher educators and curriculum developers worldwide.

Refractions of Mathematics Education

Christer Bergsten,Bharath Sriraman
Refractions of Mathematics Education Book PDF

Author : Christer Bergsten,Bharath Sriraman
Publisher : IAP
Page : 239 pages
File Size : 41,5 Mb
Release : 2015-05-01
Category : Education
ISBN : 9781681230313

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Refractions of Mathematics Education by Christer Bergsten,Bharath Sriraman Pdf

The diversity of research in mathematics education has been addressed as both, a problem and a strength. When manifested through adherence to different intellectual roots and theoretical orientations, diversions constitute ‘refractions’ of mathematics education. The collection and analysis of empirical data in a study are by necessity refracted through the specific analytical lens employed, as well as the aim of the study itself. Refractions can also refer to looking at old phenomena through new lenses. The chapters in this book are refracted through philosophical, political, mathematical and personal lenses by distinguished authors in the field, addressing issues about the elusive experience of doing mathematics, purification of texts, refractions, mathematics and ethnomathematics, political messages in textbook tasks, mathematics education policy debate, the political in mathematics education research, philosophy and mathematics, meanings and representations, identity of mathematical modeling, and dilemmas in the teaching of calculus. An ancient Sanskrit adage states that Knowledge is something that grows when shared, but shrinks when hoarded. Academics engaged in the generation of new Knowledge are blessed with both the time and the freedom to engage in pursuits that allow for intellectual pleasure. As a phenomenon of the Zeitgeist many have succumbed to the increased corporatization of academic work, engaging in activities for monetary and self advancement purposes. Are there any real intellectuals left in academia, a là Adorno, Bourdieu, Chomsky, Foucault, among others? This Festschrift is dedicated to academics that don't bother with self promotion or aggrandizement of themselves or their ideas in simplistic terms.

A History of Mathematics Education during the Twentieth Century

Angela Lynn Evans Walmsley
A History of Mathematics Education during the Twentieth Century Book PDF

Author : Angela Lynn Evans Walmsley
Publisher : University Press of America
Page : 92 pages
File Size : 46,5 Mb
Release : 2007-05-22
Category : Education
ISBN : 9781461676218

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A History of Mathematics Education during the Twentieth Century by Angela Lynn Evans Walmsley Pdf

A History of Mathematics Education during the Twentieth Century describes the history of mathematics education in the United States with conceptual themes concerning philosophy, mathematics content, teacher education, pedagogy, and assessment. Each decade of the twentieth century is analyzed using historical documents, within the context of the aforementioned themes, to create a concise history of mathematical reform as it relates to history within the United States. Finally, conclusions are drawn as to which reform movements are similar and different throughout the century—depicting which aspects of reform can be seen again. Mathematics education tends to swing on a pendulum from "traditional education" including teacher-directed instruction with an emphasis on computation skills to "reform education," including student-directed instruction with an emphasis on problem solving. All decades are analyzed to see where they were on the pendulum and what aspects may have contributed to the current reform movements led by the Standards movement.

Inventing the Mathematician

Sara N. Hottinger
Inventing the Mathematician Book PDF

Author : Sara N. Hottinger
Publisher : State University of New York Press
Page : 217 pages
File Size : 48,5 Mb
Release : 2016-03-01
Category : Mathematics
ISBN : 9781438460116

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Inventing the Mathematician by Sara N. Hottinger Pdf

Considers how our ideas about mathematics shape our individual and cultural relationship to the field. Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of mathematics contribute to our cultural understanding of mathematics: mathematics textbooks, the history of mathematics, portraits of mathematicians, and the field of ethnomathematics. Hottinger examines how these discourses shape mathematical subjectivity by limiting the way some groups—including women and people of color—are able to see themselves as practitioners of math. Inventing the Mathematician provides a blueprint for how to engage in a deconstructive project, revealing the limited and problematic nature of the normative construction of mathematical subjectivity. Sara N. Hottinger is Professor of Women’s and Gender Studies at Keene State College.

Handbook on the History of Mathematics Education

Alexander Karp,Gert Schubring
Handbook on the History of Mathematics Education Book PDF

Author : Alexander Karp,Gert Schubring
Publisher : Springer Science & Business Media
Page : 627 pages
File Size : 42,8 Mb
Release : 2014-01-25
Category : Mathematics
ISBN : 9781461491552

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Handbook on the History of Mathematics Education by Alexander Karp,Gert Schubring Pdf

This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.

Critical Issues in Mathematics Education

Bharath Sriraman,Paul Ernest,Brian Greer
Critical Issues in Mathematics Education Book PDF

Author : Bharath Sriraman,Paul Ernest,Brian Greer
Publisher : IAP
Page : 503 pages
File Size : 48,5 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.

Researching the History of Mathematics Education

Fulvia Furinghetti,Alexander Karp
Researching the History of Mathematics Education Book PDF

Author : Fulvia Furinghetti,Alexander Karp
Publisher : Springer
Page : 314 pages
File Size : 53,9 Mb
Release : 2017-12-04
Category : Education
ISBN : 9783319682945

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Researching the History of Mathematics Education by Fulvia Furinghetti,Alexander Karp Pdf

This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.

Interdisciplinary Perspectives on Math Cognition

Marcel Danesi
Interdisciplinary Perspectives on Math Cognition Book PDF

Author : Marcel Danesi
Publisher : Springer Nature
Page : 344 pages
File Size : 43,9 Mb
Release : 2019-09-14
Category : Mathematics
ISBN : 9783030225377

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Interdisciplinary Perspectives on Math Cognition by Marcel Danesi Pdf

This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.

How Humans Learn to Think Mathematically

David Tall
How Humans Learn to Think Mathematically Book PDF

Author : David Tall
Publisher : Cambridge University Press
Page : 483 pages
File Size : 47,6 Mb
Release : 2013-09-02
Category : Education
ISBN : 9781107035706

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How Humans Learn to Think Mathematically by David Tall Pdf

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.

Learning without Burden

Mythili Ramchand,Ritesh Khunyakari,Arindam Bose
Learning without Burden Book PDF

Author : Mythili Ramchand,Ritesh Khunyakari,Arindam Bose
Publisher : Taylor & Francis
Page : 334 pages
File Size : 46,6 Mb
Release : 2022-07-29
Category : Education
ISBN : 9781000608168

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Learning without Burden by Mythili Ramchand,Ritesh Khunyakari,Arindam Bose Pdf

This book looks at education reforms, planning and policy through an exploration of the Yash Pal Committee report (1993) in India, which made recommendations to improve the quality of learning while reducing cognitive burden on students. It analyses the wide-ranging impact the report had on curriculum, pedagogy, teacher education reforms and the national policy on education. The book examines the legacy of the report, tracing the various deliberations and critical engagements with issues around literacy, language and mathematics learning, curriculum reforms and classroom practices, assessment and evaluation. It reviews contemporary developments in research on learning in diverse disciplines and languages through the lens of the recommendations made by the Learning without Burden report while engaging with challenges and systemic issues which limit inclusivity and access to quality education. Drawing on extensive research and first-hand academic and teaching experience, this book will attract attention and interest of students and researchers of educational policy and analysis, linguistics, sociology and South Asian studies. It will also be of interest to policy makers, think tanks and civil society organisations.

The Development of Teaching Expertise from an International Perspective

Su Liang
The Development of Teaching Expertise from an International Perspective Book PDF

Author : Su Liang
Publisher : IAP
Page : 167 pages
File Size : 44,6 Mb
Release : 2013-06-01
Category : Mathematics
ISBN : 9781623963781

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The Development of Teaching Expertise from an International Perspective by Su Liang Pdf

This book provides an insightful view of effective teaching practices in China from an international perspective by examining the grades 7-12 mathematics teacher preparation in the Shandong province of China. It is an excellent reference book for teacher educators, researchers, reformers, and teaching practitioners. A qualitative research approach, involving in-depth interviews with purposive sampling of ten grades 7-12 award-winning mathematics teachers, was chosen to conduct the study. The participants are from the Shandong province and have been awarded recognition for his/her achievements in teaching grades 7-12 mathematics by the different levels: school, district, city, province, or nation; and his/her students have achieved high average scores in college entrance exams or in high school entrance exams among the classes at the same grade level. Data analysis revealed the following findings: first, grades 7-12 mathematics teachers from the Shandong province of China were prepared to teach through pre-service training, in-service training, and informal learning. The pre-service training can be characterized as emphasizing formal mathematics training at advanced level. The in-service training is integrated with teacher collaboration and teaching research, and has the characteristics of diversity, continuity, and orientation toward teaching practice. The in-service training also stimulates teachers to conduct self-directed learning. Second, the award-winning grades 7-12 mathematics teachers are identified by the following characteristics: they are passionate about mathematics and share their passion through teaching; they actively take part in teaching research through application of teaching research in the classroom, collaboration with peers, and systematic lesson preparation; they apply technology into teaching; and they take an active role in teaching research in order to expand their professional opportunities. Based on the findings of this study, the following conclusions were reached: pre-service training and in-service training are both necessary processes for mathematics teachers to build up their knowledge base for effective teaching. Pre-service training is just a starting point for the teaching profession. In-service training, integrated with teacher collaboration and teaching research should be a continuous activity that is a part of a teacher’s everyday life.