Networking Of Theories As A Research Practice In Mathematics Education

Author : Angelika Bikner-Ahsbahs,Susanne Prediger
Publisher : Springer
Page : 326 pages
File Size : 54,9 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.

Author : Bharath Sriraman,Lyn English
Publisher : Springer Science & Business Media
Page : 650 pages
File Size : 43,5 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.

Author : Alison Clark-Wilson,Ana Donevska-Todorova,Eleonora Faggiano,Jana Trgalová,Hans-Georg Weigand
Publisher : Routledge
Page : 246 pages
File Size : 53,5 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.

Author : Prof Leone Burton,Leone Burton
Publisher : Routledge
Page : 280 pages
File Size : 48,7 Mb
Release : 2012-10-12
Category : Education
ISBN : 9781135698485

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Learning Mathematics by Prof Leone Burton,Leone Burton Pdf

Learning Mathematics brings together a collection of interrelated and forward-looking chapters by internationally recognized experts that explores changes in the theories and practices of learning (and teaching) mathematics. The authors reject a traditional, transmission view of the teaching of mathematics which has proved so ineffective for learning. In its place they offer information gathered from research and from practice about effects on the learners seeking to create and negotiate meaning. Learners are presented as actively attempting to make sense of the mathematics they encounter, and learners, teachers and researchers are offered examples of ho such sense-making activities, incorporated into mathematics classrooms, impact on coming to know. The book celebrates both diversity, in the range of different perspectives, contributions and topics, and unity, in the linking chapters and themes, It will be fascinating reading for those mathematics educators who are eager to engage with a socio-cultural perspective in order to better understand the complexity of learning mathematics.

Author : Angelika Bikner-Ahsbahs,Christine Knipping,Norma Presmeg
Publisher : Springer
Page : 592 pages
File Size : 48,7 Mb
Release : 2014-11-26
Category : Education
ISBN : 9789401791816

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Approaches to Qualitative Research in Mathematics Education by Angelika Bikner-Ahsbahs,Christine Knipping,Norma Presmeg Pdf

This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.

Author : Tommy Dreyfus,Michèle Artigue,Despina Potari,Susanne Prediger,Kenneth Ruthven
Publisher : Taylor & Francis
Page : 313 pages
File Size : 46,9 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.

Author : Angelika Bikner-Ahsbahs,Andreas Vohns,Oliver Schmitt,Regina Bruder,Willi Dörfler
Publisher : Springer
Page : 56 pages
File Size : 44,9 Mb
Release : 2016-08-05
Category : Education
ISBN : 9783319425894

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Theories in and of Mathematics Education by Angelika Bikner-Ahsbahs,Andreas Vohns,Oliver Schmitt,Regina Bruder,Willi Dörfler Pdf

This survey provides an overview of German meta-discourse on theories and mathematics education as a scientific discipline, from the 1970s to the 1990s. Two theory strands are offered: a semiotic view related to Peirce and Wittgenstein (presented by Willibald Dörfler), and the theory of learning activity by Joachim Lompscher (presented by Regina Bruder and Oliver Schmitt). By networking the two theoretical approaches in a case study of learning fractions, it clarifies the nature of the two theories, how they can be related to inform practice and renew TME-issues for mathematics education as a scientific discipline. Hans-Georg Steiner initiated the first of five international conferences on Theories of Mathematics Education (TME) to advance the founding of mathematics education as a scientific discipline, and subsequently German researchers have continued to focus on TME topics but within various theory strands.

Author : Elizabeth de Freitas,Kathleen Nolan
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 51,9 Mb
Release : 2007-12-19
Category : Education
ISBN : 9780387754642

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Opening the Research Text by Elizabeth de Freitas,Kathleen Nolan Pdf

An innovative contribution to educational research is to be found in this book. The book addresses the need to generate texts that assist educators and future educators in taking up new research and making sense of it. It offers unique approaches to interpreting research within the mathematics education field and takes its place in a growing set of resources. The book will appeal to teacher educators, student teachers, and mathematics education researchers alike.

Author : Bernard R Hodgson,Alain Kuzniak,Jean-Baptiste Lagrange
Publisher : Springer
Page : 269 pages
File Size : 42,8 Mb
Release : 2016-07-10
Category : Education
ISBN : 9783319260471

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The Didactics of Mathematics: Approaches and Issues by Bernard R Hodgson,Alain Kuzniak,Jean-Baptiste Lagrange Pdf

This book, the outcome of a conference organised in 2012 in Paris as a homage to Michèle Artigue, is based on the main component of this event. However, it offers more than a mere reflection of the conference in itself, as various well-known researchers from the field have been invited to summarize the main topics where the importance of Artigue’s contribution is unquestionable. Her multiple interest areas, as a researcher involved in a wider community, give to this volume its unique flavour of diversity. Michèle Artigue (ICMI 2013 Felix Klein Award, CIAEM 2015 Luis Santaló Award) is without doubt one of the most influential researchers nowadays in the field of didactics of mathematics. This influence rests both on the quality of her research and on her constant contribution, since the early 1970s, to the development of the teaching and learning of mathematics. Observing her exemplary professional history, one can witness the emergence, the development, and the main issues of didactics of mathematics as a specific research field.

Author : Gabriele Kaiser,Norma Presmeg
Publisher : Springer
Page : 532 pages
File Size : 40,7 Mb
Release : 2019-04-26
Category : Education
ISBN : 9783030156367

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Compendium for Early Career Researchers in Mathematics Education by Gabriele Kaiser,Norma Presmeg Pdf

The purpose of this Open Access compendium, written by experienced researchers in mathematics education, is to serve as a resource for early career researchers in furthering their knowledge of the state of the field and disseminating their research through publishing. To accomplish this, the book is split into four sections: Empirical Methods, Important Mathematics Education Themes, Academic Writing and Academic Publishing, and a section Looking Ahead. The chapters are based on workshops that were presented in the Early Career Researcher Day at the 13th International Congress on Mathematical Education (ICME-13). The combination of presentations on methodological approaches and theoretical perspectives shaping the field in mathematics education research, as well as the strong emphasis on academic writing and publishing, offered strong insight into the theoretical and empirical bases of research in mathematics education for early career researchers in this field. Based on these presentations, the book provides a state-of-the-art overview of important theories from mathematics education and the broad variety of empirical approaches currently widely used in mathematics education research. This compendium supports early career researchers in selecting adequate theoretical approaches and adopting the most appropriate methodological approaches for their own research. Furthermore, it helps early career researchers in mathematics education to avoid common pitfalls and problems while writing up their research and it provides them with an overview of the most important journals for research in mathematics education, helping them to select the right venue for publishing and disseminating their work.

Author : Viviane Durand-Guerrier,Reinhard Hochmuth,Elena Nardi,Carl Winsløw
Publisher : Routledge
Page : 244 pages
File Size : 47,8 Mb
Release : 2021-04-16
Category : Education
ISBN : 9781000369281

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Research and Development in University Mathematics Education by Viviane Durand-Guerrier,Reinhard Hochmuth,Elena Nardi,Carl Winsløw Pdf

In the last thirty years or so, the need to address the challenges of teaching and learning mathematics at university level has become increasingly appreciated by university mathematics teachers, and beyond, by educational institutions around the world. Indeed, mathematics is both a condition and an obstacle to success for students in many educational programmes vital to the 21st century knowledge society, for example in pure and applied mathematics, engineering, natural sciences, technology, economics, finance, management and so on. This breadth of impact of mathematics implies the urgency of developing research in university mathematics education, and of sharing results of this research widely. This book provides a bespoke opportunity for an international audience of researchers in didactics of mathematics, mathematicians and any teacher or researcher with an interest in this area to be informed about state-of-the-art developments and to heed future research agendas. This book emerged from the activities of the research project INDRUM (acronym for International Network for Didactic Research in University Mathematics), which aims to contribute to the development of research in didactics of mathematics at all levels of tertiary education, with a particular concern for the development of early-career researchers in the field and for dialogue with university mathematicians. The aim of the book is to provide a deep synthesis of the research field as it appears through two INDRUM conferences organised in 2016 and 2018. It is an original contribution which highlights key research perspectives, addresses seminal theoretical and methodological issues and reports substantial results concerning the teaching and learning of mathematics at university level, including the teaching and learning of specific topics in advanced mathematics across a wide range of university programmes.

Author : Yves Chevallard,Berta Barquero,Marianna Bosch,Ignasi Florensa,Josep Gascón,Pedro Nicolás,Noemí Ruiz-Munzón
Publisher : Springer Nature
Page : 348 pages
File Size : 42,8 Mb
Release : 2022-01-22
Category : Education
ISBN : 9783030767914

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Advances in the Anthropological Theory of the Didactic by Yves Chevallard,Berta Barquero,Marianna Bosch,Ignasi Florensa,Josep Gascón,Pedro Nicolás,Noemí Ruiz-Munzón Pdf

The book focuses on the latest developments of the Anthropological Theory of the Didactic (ATD) and its links with other approaches in mathematics education. Leading researchers in the ATD and especially its creator, Yves Chevallard, present recent research results, theoretical advances and new methodologies in this approach, concerning critical educational problems at all levels. The book is addressed to researchers in mathematics education and all related fields, to teacher educators and teachers in primary, secondary and tertiary education interested in curriculum issues and research in didactics. The book includes four sections that correspond to four axes of current research in the framework of the ATD. The first one studies the relations between the ATD and other research frameworks. The second section focuses on the crucial role of didactics in teacher education, and the experiences carried out at different instructional levels. The third section addresses the curriculum problem in the historical transition from the classical paradigm of visiting works to the emerging didactic paradigm of questioning the world. The last section is about research in didactics at the university level, with investigations about the analysis of didactic transposition processes and the design and implementation of various instructional formats.

Author : Birgit Pepin
Publisher : Springer Nature
Page : 1405 pages
File Size : 48,7 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9783031456671

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Handbook of Digital Resources in Mathematics Education by Birgit Pepin Pdf

Author : Hans Niels Jahnke,Lisa Hefendehl-Hebeker
Publisher : Springer
Page : 283 pages
File Size : 45,8 Mb
Release : 2019-02-13
Category : Education
ISBN : 9783030110697

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Traditions in German-Speaking Mathematics Education Research by Hans Niels Jahnke,Lisa Hefendehl-Hebeker Pdf

This open access book shares revealing insights into the development of mathematics education research in Germany from 1976 (ICME 3 in Karlsruhe) to 2016 (ICME 13 in Hamburg). How did mathematics education research evolve in the course of these four decades? Which ideas and people were most influential, and how did German research interact with the international community? These questions are answered by scholars from a range of fields and in ten thematic sections: (1) a short survey of the development of educational research on mathematics in German speaking countries (2) subject-matter didactics, (3) design science and design research, (4) modelling, (5) mathematics and Bildung 1810 to 1850, (6) Allgemeinbildung, Mathematical Literacy, and Competence Orientation (7) theory traditions, (8) classroom studies, (9) educational research and (10) large-scale studies. During the time span presented here, profound changes took place in German-speaking mathematics education research. Besides the traditional fields of activity like subject-matter didactics or design science, completely new areas also emerged, which are characterized by various empirical approaches and a closer connection to psychology, sociology, epistemology and general education research. Each chapter presents a respective area of mathematics education in Germany and analyzes its relevance for the development of the research community, not only with regard to research findings and methods but also in terms of interaction with the educational system. One of the central aspects in all chapters concerns the constant efforts to find common ground between mathematics and education. In addition, readers can benefit from this analysis by comparing the development shown here with the mathematical education research situation in their own country.

Author : Luc Trouche,Ghislaine Gueudet,Birgit Pepin
Publisher : Springer Nature
Page : 564 pages
File Size : 44,8 Mb
Release : 2019-11-29
Category : Education
ISBN : 9783030203931

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The 'Resource' Approach to Mathematics Education by Luc Trouche,Ghislaine Gueudet,Birgit Pepin Pdf

This edited volume will help educators better analyze methodological and practical tools designed to aid classroom instruction. It features papers that explore the need to create a system in order to fully meet the uncertainties and developments of modern educational phenomena. These have emerged due to the abundance of digital resources and new forms of collective work. The collected papers offer new perspectives to a rising field of research known as the Documentational Approach to Didactics. This framework was first created by the editors of this book. It seeks to develop a deeper understanding of mathematics teaching expertise. Readers will gain insight into how to meet the theoretical questions brought about by digitalization. These include: how to analyze teachers’ work when they prepare for their teaching, how to conceptualize the relationships between individual and collective work, and how to follow the related processes over the long term. The contributors also provide a comparative view in terms of contrasting selected phenomena across different educational cultures and education systems. For instance, they consider how differences in curriculum resources are available to teachers and how teachers make use of them to shape instruction. Coverage also considers the extent to which teachers make use of additional material, particularly those available through the global marketplace on the Internet. This book builds on works from the Re(s)sources 2018 Conference, Understanding teachers’ work through their interactions with resources for teaching, held in Lyon, France.