Mathematical Encounters And Pedagogical Detours

Mathematical Encounters And Pedagogical Detours Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Mathematical Encounters And Pedagogical Detours book. This book definitely worth reading, it is an incredibly well-written.

Mathematical Encounters and Pedagogical Detours

Boris Koichu,Rina Zazkis
Mathematical Encounters and Pedagogical Detours Book PDF

Author : Boris Koichu,Rina Zazkis
Publisher : Springer Nature
Page : 219 pages
File Size : 42,8 Mb
Release : 2021-02-04
Category : Education
ISBN : 9783030584344

Get Book

Mathematical Encounters and Pedagogical Detours by Boris Koichu,Rina Zazkis Pdf

This book explores the idea that mathematics educators and teachers are also problem solvers and learners, and as such they constantly experience mathematical and pedagogical disturbances. Accordingly, many original tasks and learning activities are results of personal mathematical and pedagogical disturbances of their designers, who then transpose these disturbances into learning opportunities for their students. This learning-transposition process is a cornerstone of mathematics teacher education as a lived, developing enterprise. Mathematical Encounters and Pedagogical Detours unfold the process and illustrate it by various examples. The book engages readers in original tasks, shares the results of task implementation and describes how these results inform the development of new tasks, which often intertwine mathematics and pedagogy. Most importantly, the book includes a dialogue between the authors based on the stories of their own learning, which triggers continuous exploration of learning opportunities for their students.

Unpacking Pedagogy

Margaret Walshaw
Unpacking Pedagogy Book PDF

Author : Margaret Walshaw
Publisher : IAP
Page : 311 pages
File Size : 42,7 Mb
Release : 2010-03-01
Category : Education
ISBN : 9781607524298

Get Book

Unpacking Pedagogy by Margaret Walshaw Pdf

This volume represents a serious attempt to understand what it is that structures the pedagogical experience. In that attempt there are two main objectives. One is a theoretical interest that involves examining the issue of the subjectivity of the teacher and exploring how intersubjective negotiations shape the production of classroom practice. A second objective is to apply these understandings to the production of mathematical knowledge and to the construction of identities in actual mathematics classrooms. To that end book contains substantial essays that draw on postmodern philosophies of the social to explore theory's relationship with the practice of mathematics pedagogy. Unpacking Pedagogy takes new ideas seriously and engages readers in theory development. Groundbreaking in content, the book investigates how our thinking about classroom practice in general, and mathematics teaching (and learning), in particular, might be transformed. As a key resource for interrogating and understanding classroom life, the book's sophisticated analyses allow readers to build new knowledge about mathematics pedagogy. In turn, that new knowledge will provide them with the tools to engage more actively in educational criticism and to play a role in educational change.

A Journey in Mathematics Education Research

Erna Yackel,Koeno Gravemeijer,Anna Sfard
A Journey in Mathematics Education Research Book PDF

Author : Erna Yackel,Koeno Gravemeijer,Anna Sfard
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 43,9 Mb
Release : 2010-11-30
Category : Education
ISBN : 9789048197293

Get Book

A Journey in Mathematics Education Research by Erna Yackel,Koeno Gravemeijer,Anna Sfard Pdf

Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have found his "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.

Interdisciplinary Educational Research In Mathematics and Its Connections to The Arts and Sciences

Bharath Sriraman,Claus Michelsen,Astrid Beckmann,Viktor Freiman
Interdisciplinary Educational Research In Mathematics and Its Connections to The Arts and Sciences Book PDF

Author : Bharath Sriraman,Claus Michelsen,Astrid Beckmann,Viktor Freiman
Publisher : IAP
Page : 313 pages
File Size : 51,9 Mb
Release : 2008-09-01
Category : Education
ISBN : 9781607528876

Get Book

Interdisciplinary Educational Research In Mathematics and Its Connections to The Arts and Sciences by Bharath Sriraman,Claus Michelsen,Astrid Beckmann,Viktor Freiman Pdf

The book is based on the recently held Symposium on mathematics and its connections to the arts and sciences, namely the second Mathematics and its Connections to the Arts and Sciences (MACAS2)Symposium in Odense, Denmark (May 29-31, 2007). The chapters are an eclectic collection of interdisciplinary research initiatives undertaken by mathematics educators with implications for practitioners concerned with teaching and learning processes. The papers cover a wide genre of research domains within mathematics education (cognition, modelling, problem solving, teacher education, ethnomathematics, mathematical/statistical literacy, curricular and technological initiatives and research related to science education). The major interdisciplinary themes of the papers in this book are: 1. How can modelling activities be used to foster interdisciplinary projects in the school and university setting? 2. How can the intricate connections between mathematics and physics be used to design and research interdisciplinary activities in schools and the university? 3. How can research within the ethnomathematics domain of mathematics education be linked to critical mathematics education and interdisciplinary projects involving mathematics, art and culture? 4. How can the push for mathematical and statistical literacy be connected to other subjects in the school curricula and emphasized via interdisciplinary activities? 5. What are concrete examples of classroom experiments with empirical data that demonstrate new and unusual connections/relations between mathematics, arts and the sciences with implications for pedagogy? 6. What is the role of technology and new ICT interfaces in linking communities of learners in interdisciplinary activities involving problem solving? The book is an important contribution to the literature on educational initiatives in interdisciplinary education increasing vital for emerging professions of the 21st century.

Beyond Classical Pedagogy

Terry Wood,Barbara Scott Nelson,Janet E. Warfield
Beyond Classical Pedagogy Book PDF

Author : Terry Wood,Barbara Scott Nelson,Janet E. Warfield
Publisher : Routledge
Page : 324 pages
File Size : 50,8 Mb
Release : 2014-04-04
Category : Education
ISBN : 9781135658724

Get Book

Beyond Classical Pedagogy by Terry Wood,Barbara Scott Nelson,Janet E. Warfield Pdf

The emergence of the National Council of Teachers of Mathematics Standards in 1989 sparked a sea change in thinking about the nature and quality of mathematics instruction in U.S. schools. Much is known about transmission forms of mathematics teaching and the influence of this teaching on students' learning, but there is still little knowledge about the alternative forms of instruction that have evolved from the recent widespread efforts to reform mathematics education. Beyond Classical Pedagogy: Teaching Elementary School Mathematics reports on the current state of knowledge about these new instructional practices, which differ in significant ways from the traditional pedagogy that has permeated mathematics education in the past. This book provides a research-based view of the nature of facilitative teaching in its relatively mature form, along with opposing views and critique of this form of pedagogy. The focus is on elementary school mathematics classrooms, where the majority of the reform-based efforts have occurred, and on the micro level of teaching (classroom interaction) as a source for revealing the complexity involved in teaching, teachers' learning, and the impact of both on children's learning. The work in elementary mathematics teaching is situated in the larger context of research on teaching. Research and insights from three disciplinary perspectives are presented: the psychological perspective centers on facilitative teaching as a process of teachers' learning; the mathematical perspective focuses on the nature of the mathematical knowledge teachers need in order to engage in this form of teaching; the sociological perspective attends to the interactive process of meaning construction as teachers and students create intellectual communities in their classrooms. The multidisciplinary perspectives presented provide the editors with the necessary triangulation to provide confirming evidence and rich detail about the nature of facilitative teaching. Audiences for this book include scholars in mathematics education and teacher education, teacher educators, staff developers, and classroom teachers. It is also appropriate as a text for graduate courses in mathematics education, teacher education, elementary mathematics teaching methods, and methods of research in mathematics education.

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 : 54,5 Mb
Release : 2016-01-01
Category : Education
ISBN : 9781681232614

Get Book

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.

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 : 54,8 Mb
Release : 2020-10-05
Category : Education
ISBN : 9783030551001

Get Book

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.

In Search of a Pedagogy of Conflict and Dialogue for Mathematics Education

Renuka Vithal
In Search of a Pedagogy of Conflict and Dialogue for Mathematics Education Book PDF

Author : Renuka Vithal
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Education
ISBN : 9789401000864

Get Book

In Search of a Pedagogy of Conflict and Dialogue for Mathematics Education by Renuka Vithal Pdf

This book is of interest to mathematics educators, researchers in mathematics education, gender, social justice, equity and democracy in education; and practitioners/teachers interested in the use of project work in mathematics teaching and learning. The book builds theoretical ideas from a careful substantial description of practice, in the attempt to improve both theory and practice in mathematics education. It thus interrogates and develops theoretical research tools for mathematics education and provides ideas for practice in mathematics classrooms.

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 : 49,8 Mb
Release : 2009-10-13
Category : Education
ISBN : 9783642007422

Get Book

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.

Invitation to Didactique

Virginia McShane Warfield
Invitation to Didactique Book PDF

Author : Virginia McShane Warfield
Publisher : Springer Science & Business Media
Page : 87 pages
File Size : 46,7 Mb
Release : 2013-08-31
Category : Education
ISBN : 9781461481997

Get Book

Invitation to Didactique by Virginia McShane Warfield Pdf

​This is an introduction to a Didactique, research program that has been going on in France since the '70s and whose importance is now widely recognized, but whose content is still not easy access to anglophones. The work of Dr. Guy Brousseau has remained largely, in his native France, untranslated and largely unknown. This book will unlock the secrets of Didactique and provide an opportunity for researchers, teacher educators, and students to learn of this important methodology. The field of Didactique is rich, deep and extensive. To a large extent, it owes its shape and even its existence to the energy and inspiration poured in by Guy Brousseau starting in the 1960's. Many others have since added their ideas and energies to produce a unique, vibrant, multi-faceted research program. Invitation to Didactique provides an easily accessible general introduction to the field, hitting the high spots and focusing largely on the contributions of Brousseau himself. Teaching Fractions through Situations: a Fundamental Experiment takes one fundamental aspect and examines it in a great deal more depth from several perspectives. It gives a detailed description of a particularly interesting way of teaching fractions and decimals which should be interesting to any reader who enjoys seeing children learn mathematics. It then examines two other aspects of the lesson sequence, first describing the exciting and challenging role of the teachers handling a highly unfamiliar approach and then placing the whole experience in its context in the very earliest phases of the development of this very important field of research.

The Second Handbook of Research on the Psychology of Mathematics Education

Ángel Gutiérrez,Gilah C. Leder,Paolo Boero
The Second Handbook of Research on the Psychology of Mathematics Education Book PDF

Author : Ángel Gutiérrez,Gilah C. Leder,Paolo Boero
Publisher : Springer
Page : 558 pages
File Size : 44,7 Mb
Release : 2016-07-23
Category : Education
ISBN : 9789463005616

Get Book

The Second Handbook of Research on the Psychology of Mathematics Education by Ángel Gutiérrez,Gilah C. Leder,Paolo Boero Pdf

Since its establishment in 1976, PME (The International Group for the Psychology of Mathematics Education) is serving as a much sought after venue for scientific debate among those at the cutting edge of the field, as well as an engine for the development of research in mathematics education. A wide range of research activities conducted over the last ten years by PME members and their colleagues are documented and critically reviewed in this handbook, released to celebrate the Group’s 40 year anniversary milestone. The book is divided into four main sections: Cognitive aspects of learning and teaching content areas; Cognitive aspects of learning and teaching transverse areas; Social aspects of learning and teaching mathematics; and Professional aspects of teaching mathematics. The selection for each chapter of a team of at least two authors, mostly located in different parts of the world, ensured effective coverage of each field. High quality was further enhanced by the scrupulous review of early chapter drafts by two leaders in the relevant field. The resulting volume with its compilation of the most relevant aspects of research in the field, and its emphasis on trends and future developments, will be a rich and welcome resource for both mature and emerging researchers in mathematics education.

Critical Mathematics Education

Bülent Avci
Critical Mathematics Education Book PDF

Author : Bülent Avci
Publisher : BRILL
Page : 178 pages
File Size : 47,6 Mb
Release : 2018-11-01
Category : Education
ISBN : 9789004390232

Get Book

Critical Mathematics Education by Bülent Avci Pdf

Critical Mathematics Education offers classroom-based data to illustrate the ways in which critical mathematics education comprises a response to the tension between the needs of a neoliberal system and the needs of individual students to fulfil their potential, as human beings and citizens.

Mathematical Knowledge in Teaching

Tim Rowland,Kenneth Ruthven
Mathematical Knowledge in Teaching Book PDF

Author : Tim Rowland,Kenneth Ruthven
Publisher : Springer Science & Business Media
Page : 300 pages
File Size : 43,9 Mb
Release : 2011-01-06
Category : Education
ISBN : 9789048197668

Get Book

Mathematical Knowledge in Teaching by Tim Rowland,Kenneth Ruthven Pdf

The quality of primary and secondary school mathematics teaching is generally agreed to depend crucially on the subject-related knowledge of the teacher. However, there is increasing recognition that effective teaching calls for distinctive forms of subject-related knowledge and thinking. Thus, established ways of conceptualizing, developing and assessing mathematical knowledge for teaching may be less than adequate. These are important issues for policy and practice because of longstanding difficulties in recruiting teachers who are confident and conventionally well-qualified in mathematics, and because of rising concern that teaching of the subject has not adapted sufficiently. The issues to be examined in Mathematical Knowledge in Teaching are of considerable significance in addressing global aspirations to raise standards of teaching and learning in mathematics by developing more effective approaches to characterizing, assessing and developing mathematical knowledge for teaching.

Beyond the Apparent Banality of the Mathematics Classroom

Colette Laborde,Marie-Jeanne Perrin-Glorian,Anna Sierpinska
Beyond the Apparent Banality of the Mathematics Classroom Book PDF

Author : Colette Laborde,Marie-Jeanne Perrin-Glorian,Anna Sierpinska
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 46,6 Mb
Release : 2007-03-11
Category : Education
ISBN : 9780387304519

Get Book

Beyond the Apparent Banality of the Mathematics Classroom by Colette Laborde,Marie-Jeanne Perrin-Glorian,Anna Sierpinska Pdf

New research in mathematics education deals with the complexity of the mathematics’ classroom. The classroom teaching situation constitutes a pertinent unit of analysis for research into the ternary didactic relationship which binds teachers, students and mathematical knowledge. The classroom is considered as a complex didactic system, which offers the researcher an opportunity to gauge the boundaries of the freedom that is left with regard to choices about the knowledge to be taught and the ways of organizing the students’ learning, while giveing rise to the study of interrelations between three main elements of the teaching process the: mathematical content to be taught and learned, management of the various time dimensions, and activity of the teacher who prepares and manages the class, to the benefit of the students' knowledge and the teachers' own experience. This volume, reprinted from Educational Studies in Mathematics, Volume 59, focuses on classroom situations as a unit of analysis, the work of the teacher, and is strongly anchored in original theoretical frameworks. The contributions are formulated from the perspective of one or more theoretical frameworks but they are tackled by means of empirical investigations.

The Culture of the Mathematics Classroom

Falk Seeger,Jörg Voigt,Ute Waschescio
The Culture of the Mathematics Classroom Book PDF

Author : Falk Seeger,Jörg Voigt,Ute Waschescio
Publisher : Cambridge University Press
Page : 276 pages
File Size : 41,6 Mb
Release : 1998-08-13
Category : Psychology
ISBN : 0521571073

Get Book

The Culture of the Mathematics Classroom by Falk Seeger,Jörg Voigt,Ute Waschescio Pdf

The culture of the mathematics classroom is becoming an increasingly salient topic of discussion in mathematics education. Studying and changing what happens in the classroom allows researchers and educators to recognize the social character of mathematical pedagogy and the relationship between the classroom and culture at large. This volume is divided into three sections, reporting findings gained in both research and practice. The first part presents several attempts to change classroom culture by focusing on the education of mathematics teachers and on teacher-researcher collaboration. The second section shifts to the interactive processes of the mathematics classroom and to the communal nature of learning. The third section discusses the means of constructing, filtering, and establishing mathematical knowledge that are characteristic of classroom culture. This internationally relevant volume will be of particular interest to educators and educational researchers.