Theories Of Mathematics Education

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Theories of Mathematics Education

Bharath Sriraman,Lyn English
Theories of Mathematics Education Book PDF

Author : Bharath Sriraman,Lyn English
Publisher : Springer
Page : 0 pages
File Size : 40,9 Mb
Release : 2012-03-14
Category : Education
ISBN : 3642261183

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Theories of Mathematics Education by Bharath Sriraman,Lyn English Pdf

Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.

Networking of Theories as a Research Practice in Mathematics Education

Angelika Bikner-Ahsbahs,Susanne Prediger
Networking of Theories as a Research Practice in Mathematics Education Book PDF

Author : Angelika Bikner-Ahsbahs,Susanne Prediger
Publisher : Springer
Page : 329 pages
File Size : 53,8 Mb
Release : 2014-08-25
Category : Education
ISBN : 9783319053899

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Networking of Theories as a Research Practice in Mathematics Education by Angelika Bikner-Ahsbahs,Susanne Prediger Pdf

How can we deal with the diversity of theories in mathematics education? This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them. The book explains and illustrates what it means to network theories; it presents networking as a challenging but fruitful research practice and shows how the Group dealt with this challenge considering five theoretical approaches, namely the approach of Action, Production, and Communication (APC), the Theory of Didactical Situations (TDS), the Anthropological Theory of the Didactic (ATD), the approach of Abstraction in Context (AiC), and the Theory of Interest-Dense Situations (IDS). A synthetic presentation of each theory and their connections shows how the activity of networking generates questions at the theoretical, methodological and practical levels and how the work on these questions leads to both theoretical and practical progress. The core of the book consists of four new networking case studies which illustrate what exactly can be gained by this approach and what kind of difficulties might arise.

A Contemporary Theory of Mathematics Education Research

Tony Brown
A Contemporary Theory of Mathematics Education Research Book PDF

Author : Tony Brown
Publisher : Springer Nature
Page : 165 pages
File Size : 53,6 Mb
Release : 2020-10-05
Category : Education
ISBN : 9783030551001

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A Contemporary Theory of Mathematics Education Research by Tony Brown Pdf

This book by-passes both psychology and sociology to present an original social theory centered on seeing mathematical learning by everyone as an intrinsic dimension of how mathematics develops as a field in support of human activity. Here, mathematics is defined by how we collectively talk about it. Drawing on psychoanalytic theory, the student is seen as participating in the renewal of mathematics through their contributions to our collective gaze on mathematics as the field responds to ever new demands. As such learning takes a critical stance on the standard initiations into current practices often promoted by formal education. In the field of mathematics education, researchers have moved from psychology where individual students were seen as following natural paths of development through existing mathematical knowledge, to socio-cultural models predicated on students being initiated into the human world and understood through the reflective gazes this world has of itself, such as those found in comparisons of student learning in different countries. This book addresses the domain, purpose and functioning of contemporary research in mathematics education and is an original contribution to this theme. The book is aimed at a mathematics education research audience. It continues a dialogue with existing publications, seen widely as a cutting edge and will also be of interest to students and practitioners in the fields of qualitative research, social theory and psychology.

Theories of Mathematical Learning

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

Author : Leslie P. Steffe,Pearla Nesher,Paul Cobb,Bharath Sriraman,Brian Greer
Publisher : Routledge
Page : 539 pages
File Size : 43,7 Mb
Release : 2013-04-03
Category : Education
ISBN : 9781136485473

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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.

Theories of Mathematics Education

Bharath Sriraman,Lyn English
Theories of Mathematics Education Book PDF

Author : Bharath Sriraman,Lyn English
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 54,8 Mb
Release : 2009-10-13
Category : Education
ISBN : 9783642007422

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Theories of Mathematics Education by Bharath Sriraman,Lyn English Pdf

Advances in Mathematics Education is a new and innovative book series published by Springer that builds on the success and the rich history of ZDM—The Inter- tional Journal on Mathematics Education (formerly known as Zentralblatt für - daktik der Mathematik). One characteristic of ZDM since its inception in 1969 has been the publication of themed issues that aim to bring the state-of-the-art on c- tral sub-domains within mathematics education. The published issues include a rich variety of topics and contributions that continue to be of relevance today. The newly established monograph series aims to integrate, synthesize and extend papers from previously published themed issues of importance today, by orienting these issues towards the future state of the art. The main idea is to move the ?eld forward with a book series that looks to the future by building on the past by carefully choosing viable ideas that can fruitfully mutate and inspire the next generations. Taking ins- ration from Henri Poincaré (1854–1912), who said “To create consists precisely in not making useless combinations and in making those which are useful and which are only a small minority.

Number Theory in Mathematics Education

Rina Zazkis,Stephen R. Campbell
Number Theory in Mathematics Education Book PDF

Author : Rina Zazkis,Stephen R. Campbell
Publisher : Routledge
Page : 305 pages
File Size : 49,7 Mb
Release : 2012-10-12
Category : Education
ISBN : 9781136501364

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Number Theory in Mathematics Education by Rina Zazkis,Stephen R. Campbell Pdf

This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.

Critical Mathematics Education

Paul Ernest,Bharath Sriraman,Nuala Ernest
Critical Mathematics Education Book PDF

Author : Paul Ernest,Bharath Sriraman,Nuala Ernest
Publisher : IAP
Page : 357 pages
File Size : 55,8 Mb
Release : 2016-01-01
Category : Education
ISBN : 9781681232614

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Critical Mathematics Education by Paul Ernest,Bharath Sriraman,Nuala Ernest Pdf

Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value?neutral. It argues that history, society, and politics have shaped mathematics—not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value?laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real?life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice.

Alternative Theoretical Frameworks for Mathematics Education Research

Elizabeth de Freitas,Margaret Walshaw
Alternative Theoretical Frameworks for Mathematics Education Research Book PDF

Author : Elizabeth de Freitas,Margaret Walshaw
Publisher : Springer
Page : 198 pages
File Size : 49,8 Mb
Release : 2016-08-31
Category : Education
ISBN : 9783319339610

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Alternative Theoretical Frameworks for Mathematics Education Research by Elizabeth de Freitas,Margaret Walshaw Pdf

This book explicates some of the fundamental philosophical tenets underpinning key theoretical frameworks, and demonstrates how these tenets inform particular kinds of research practice in mathematics education research. We believe that a deep understanding of significant theories from the humanities and social sciences is crucial for doing high-quality research in education. For that reason, this book focuses on six key theoretical sources, unpacking their relevance and application to specific research examples. We situate these key theorists within a larger framework pertaining to the history of thought more generally, and discuss how competing theories of teaching and learning differ in terms of their philosophical assumptions. In so doing, we offer context and motivation for particular research methods, with the agenda of helping researchers reflect on why particular approaches and not others might work for them.

The Theory of Objectification

Luis Radford
The Theory of Objectification Book PDF

Author : Luis Radford
Publisher : BRILL
Page : 273 pages
File Size : 51,8 Mb
Release : 2021-04-06
Category : Education
ISBN : 9789004459663

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The Theory of Objectification by Luis Radford Pdf

The theory of objectification offers a perspective to conceptualize learning as a collective cultural-historical process and to transform classrooms into sites of communal life where students make the experience of an ethics of solidarity, plurality, and inclusivity.

Mathematics Education in the Digital Age

Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand
Mathematics Education in the Digital Age Book PDF

Author : Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand
Publisher : Routledge
Page : 246 pages
File Size : 54,5 Mb
Release : 2021-05-24
Category : Education
ISBN : 9781000390797

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Mathematics Education in the Digital Age by Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand Pdf

The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital age This book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.

Mathematics Education

Lyn D. English,Graeme S. Halford
Mathematics Education Book PDF

Author : Lyn D. English,Graeme S. Halford
Publisher : Routledge
Page : 364 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Education
ISBN : 9781136481550

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Mathematics Education by Lyn D. English,Graeme S. Halford Pdf

To define better techniques of mathematics education, this book combines a knowledge of cognitive science with mathematics curriculum theory and research. The concept of the human reasoning process has been changed fundamentally by cognitive science in the last two decades. The role of memory retrieval, domain-specific and domain-general skills, analogy, and mental models is better understood now than previously. The authors believe that cognitive science provides the most accurate account thus far of the actual processes that people use in mathematics and offers the best potential for genuine increases in efficiency. As such, they suggest that a cognitive science approach enables constructivist ideas to be analyzed and further developed in the search for greater understanding of children's mathematical learning. Not simply an application of cognitive science, however, this book provides a new perspective on mathematics education by examining the nature of mathematical concepts and processes, how and why they are taught, why certain approaches appear more effective than others, and how children might be assisted to become more mathematically powerful. The authors use recent theories of analogy and knowledge representation -- combined with research on teaching practice -- to find ways of helping children form links and correspondences between different concepts, so as to overcome problems associated with fragmented knowledge. In so doing, they have capitalized on new insights into the values and limitations of using concrete teaching aids which can be analyzed in terms of analogy theory. In addition to addressing the role of understanding, the authors have analyzed skill acquisition models in terms of their implications for the development of mathematical competence. They place strong emphasis on the development of students' mathematical reasoning and problem solving skills to promote flexible use of knowledge. The book further demonstrates how children have a number of general problem solving skills at their disposal which they can apply independently to the solution of novel problems, resulting in the enhancement of their mathematical knowledge.

Mathematics Education and the Legacy of Zoltan Paul Dienes

Bharath Sriraman
Mathematics Education and the Legacy of Zoltan Paul Dienes Book PDF

Author : Bharath Sriraman
Publisher : IAP
Page : 125 pages
File Size : 54,7 Mb
Release : 2008-03-01
Category : Mathematics
ISBN : 9781607529101

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Mathematics Education and the Legacy of Zoltan Paul Dienes by Bharath Sriraman Pdf

The name of Zoltan P. Dienes (1916-) stands with those of Jean Piaget and Jerome Bruner as a legendary figure whose theories of learning have left a lasting impression on the field of mathematics education. Dienes' name is synonymous with the Multi-base blocks (also known as Dienes blocks) which he invented for the teaching of place value. He also is the inventor of Algebraic materials and logic blocks, which sowed the seeds of contemporary uses of manipulative materials in mathematics instruction. Dienes' place is unique in the field of mathematics education because of his theories on how mathematical structures can be taught from the early grades onwards using multiple embodiments through manipulatives, games, stories and dance. Dienes' notion of embodied knowledge presaged other cognitive scientists who eventually came to recognize the importance of embodied knowledge and situated cognition - where knowledge and abilities are organized around experience as much as they are organized around abstractions. Dienes was an early pioneer in what was later to be called sociocultural perspectives and democratization of learning. This monograph compiled and edited by Bharath Sriraman honors the seminal contributions of Dienes to mathematics education and includes several recent unpublished articles written by Dienes himself. These articles exemplify his principles of guided discovery learning and reveal the non-trivial mathematical structures that can be made accessible to any student. The monograph also includes a rare interview with Dienes in which he reflects on his life, his work, the role of context, language and technology in mathematics teaching and learning today. The book finds an important place in any mathematics education library and is vital reading for mathematics education researchers, cognitive scientists, prospective teachers, graduate students and teachers of mathematics.

Equity in Discourse for Mathematics Education

Beth Herbel-Eisenmann,Jeffrey Choppin,David Wagner,David Pimm
Equity in Discourse for Mathematics Education Book PDF

Author : Beth Herbel-Eisenmann,Jeffrey Choppin,David Wagner,David Pimm
Publisher : Springer
Page : 0 pages
File Size : 49,7 Mb
Release : 2014-03-01
Category : Education
ISBN : 9400793650

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Equity in Discourse for Mathematics Education by Beth Herbel-Eisenmann,Jeffrey Choppin,David Wagner,David Pimm Pdf

This book explores the connection between the ways people speak in mathematics classrooms and their opportunities to learn mathematics. The words spoken, heard, written and read in mathematics classrooms shape students’ sense of what mathematics is and of what people can do with mathematics. The authors employ multiple perspectives to consider the means for transformative action with respect to increasing opportunities for traditionally marginalized students to form mathematical identities that resonate with their cultural, social, linguistic, and political beings.

Encyclopedia of Mathematics Education

Stephen Lerman
Encyclopedia of Mathematics Education Book PDF

Author : Stephen Lerman
Publisher : Springer
Page : 916 pages
File Size : 48,5 Mb
Release : 2020-02-07
Category : Education
ISBN : 3030157881

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Encyclopedia of Mathematics Education by Stephen Lerman Pdf

The Encyclopedia of Mathematics Education is a comprehensive reference text, covering every topic in the field with entries ranging from short descriptions to much longer pieces where the topic warrants more elaboration. The entries provide access to theories and to research in the area and refer to the leading publications for further reading. The Encyclopedia is aimed at graduate students, researchers, curriculum developers, policy makers, and others with interests in the field of mathematics education. It is planned to be 700 pages in length in its hard copy form but the text will subsequently be up-dated and developed on-line in a way that retains the integrity of the ideas, the responsibility for which will be in the hands of the Editor-in-Chief and the Editorial Board. This second edition will include additional entries on: new ideas in the politics of mathematics education, working with minority students, mathematics and art, other cross-disciplinary studies, studies in emotions and mathematics, new frameworks for analysis of mathematics classrooms, and using simulations in mathematics teacher education. Existing entries will be revised and new entries written. Members of the international mathematics education research community will be invited to propose new entries. Editorial Board: Bharath Sriraman Melony Graven Yoshinori Shimizu Ruhama Even Michele Artigue Eva Jablonka Wish to Become an Author? Springer's Encyclopedia of Mathematics Education's first edition was published in 2014. The Encyclopedia is a "living" project and will continue to accept articles online as part of an eventual second edition. Articles will be peer-reviewed in a timely manner and, if found acceptable, will be immediately published online. Suggested articles are, of course, welcome. Feel encouraged to think about additional topics that we overlooked the first time around, and to suggest colleagues (including yourself!) who will want to write them. Interested new authors should contact the editor in chief, Stephen Lerman, at [email protected], for more specific instructions.

Mathematical Work in Educational Context

Alain Kuzniak,Elizabeth Montoya-Delgadillo,Philippe R. Richard
Mathematical Work in Educational Context Book PDF

Author : Alain Kuzniak,Elizabeth Montoya-Delgadillo,Philippe R. Richard
Publisher : Springer Nature
Page : 285 pages
File Size : 44,6 Mb
Release : 2022-03-31
Category : Education
ISBN : 9783030908508

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Mathematical Work in Educational Context by Alain Kuzniak,Elizabeth Montoya-Delgadillo,Philippe R. Richard Pdf

This book is a friendly and complete introduction to one of the most comprehensive contemporary theories of mathematics teaching and learning. By focusing on mathematical work performed by students and teachers during mathematics session, the theory of Mathematical Workings Spaces (MWS) has opened up new perspectives and avenues on mathematics education and mathematical thinking. In particular, it enables the identification of students' knowledge production processes and helps teachers to shape them. The first part of the book explores the heart of the theory and aims to further describe and understand epistemological and cognitive aspects of mathematical work. The second part develops the different MWS dedicated to observing how this work depends on the expectations of educational systems, how it is formed and taught, and how individuals appropriate it. In the last part, some applications and perspectives are discussed regarding topics of major importance today in mathematics education which relate to technological and digital tools, teacher training and modeling activities. In line with the spirit of the theory, the book was written to reflect the conceptual unity at the heart of the theory of MWS and, at the same time, to show the freedom and diversity of approaches given space therein. Written for researchers and professionals in mathematics education, it offers plenty of concrete examples from different educational systems around the world to illustrate the theoretical concepts and show the applicability of the theory to practice and research.