Alternative Theoretical Frameworks for Mathematics Education Research
Alternative Theoretical Frameworks for Mathematics Education Research

Author: Elizabeth de Freitas

Publisher: Springer

Published: 2016-08-31

Total Pages: 198

ISBN-13: 3319339613

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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.

Theories of Mathematics Education
Theories of Mathematics Education

Author: Bharath Sriraman

Publisher: Springer Science & Business Media

Published: 2009-10-13

Total Pages: 650

ISBN-13: 3642007422

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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.

A Contemporary Theory of Mathematics Education Research
A Contemporary Theory of Mathematics Education Research

Author: Tony Brown

Publisher: Springer Nature

Published: 2020-10-05

Total Pages: 165

ISBN-13: 3030551008

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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.

Compendium for Early Career Researchers in Mathematics Education
Compendium for Early Career Researchers in Mathematics Education

Author: Gabriele Kaiser

Publisher: Springer

Published: 2019-04-26

Total Pages: 528

ISBN-13: 3030156362

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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.

Social Theory for Teacher Education Research
Social Theory for Teacher Education Research

Author: Kathleen Nolan

Publisher: Bloomsbury Publishing

Published: 2019-09-05

Total Pages: 289

ISBN-13: 1350086401

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Traditionally, teacher education research theory and practice have had a technical-rational focus on productions of knowledge, skills, performance and accountability. Such a focus serves to (re)produce current educational systems instead of noticing and critiquing the wider modes of domination that permeate schools and school systems. In Social Theory for Teacher Education Research, Kathleen Nolan, Jennifer Tupper and the contributors make arguments for drawing on social theories to inform research in teacher education - research that moves the agenda beyond technical-rational concerns toward building a critically reflexive stance for noticing and unpacking the socio-political contexts of schooling. The theories discussed include Actor-Network Theory (ANT), Cultural Historical Activity Theory (CHAT) and la didactique du plurilinguisme, and social theorists covered include Barad, Bernstein, Bourdieu, Braidotti, Deleuze, Foucault, Heidegger, and Nussbaum. The chapters in this book make explicit how innovative social theory-driven research can challenge and change teacher education practices and the learning experiences of students.

Designing, Conducting, and Publishing Quality Research in Mathematics Education
Designing, Conducting, and Publishing Quality Research in Mathematics Education

Author: Keith R. Leatham

Publisher: Springer Nature

Published: 2019-09-12

Total Pages: 270

ISBN-13: 303023505X

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The purpose of this book is to collect, organize and disseminate collective wisdom with respect to designing, conducting, and publishing quality research in mathematics education. This wisdom will be gleaned from among those who, over the past several decades, have been instrumental in guiding the field in the pursuit of excellence in mathematics education research—insightful editors, educative reviewers, prolific writers, and caring mentors. Each chapter is written to the novice researcher with the intent of aiding them in avoiding common pitfalls, navigating difficult intellectual terrain, and understanding that they are not alone in experiencing rejection, frustration, confusion, and doubt. This book differs from existing literature in the sense that it is written about the enterprise of designing, conducting and publishing research in mathematics education as opposed to being reports of the results of such work. It also differs in the sense that it is written with the intent to mentor the rising generation as opposed to capture the state of the field (as would happen in a handbook, for example). It is written for the express purpose of helping the field work collectively to aid in the often isolated enterprise of mentoring new researchers. The primary audience is a potentially wide one: graduate students, novice researchers, graduate faculty, advisors, and mentors – or anyone seeking to improve their own abilities to design, conduct, and publish quality research in mathematics education.

Ethnomathematics and its Diverse Approaches for Mathematics Education
Ethnomathematics and its Diverse Approaches for Mathematics Education

Author: Milton Rosa

Publisher: Springer

Published: 2017-07-25

Total Pages: 360

ISBN-13: 3319592203

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This book addresses numerous issues related to ethnomathematics and diverse approaches to it in the context of mathematics education. To help readers better understand the development of ethnomathematics, it discusses its objectives and assumptions with regard to promoting an ethics of respect, solidarity, and cooperation across and for all cultures. In turn, the book addresses a range of aspects including pedagogical action, culturally relevant pedagogy, innovative approaches to ethnomathematics, and the role of ethnomathematics in mathematics education. Ethnomathematics offers educators a valuable framework for transforming mathematics so that it can more actively contribute to realizing the dream of a just and humane society. As such, its primary goal is to forge mathematics into a powerful tool to help people create a society characterized by dignity for all, and in which iniquity, arrogance, violence, and bigotry have no place.

What is a Mathematical Concept?
What is a Mathematical Concept?

Author: Elizabeth de Freitas

Publisher: Cambridge University Press

Published: 2017-06-22

Total Pages: 301

ISBN-13: 1107134633

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Leading thinkers in mathematics, philosophy and education offer new insights into the fundamental question: what is a mathematical concept?

Dialogues on Agential Realism
Dialogues on Agential Realism

Author: Malou Juelskjær

Publisher: Routledge

Published: 2020-09-13

Total Pages: 242

ISBN-13: 0429557027

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Dialogues on Agential Realism is built up around dialogues with key scholars in the field: Magdalena Górska, Astrid Schrader, Elizabeth de Freitas, Ericka Johnson and Karen Barad. The book investigates agential realist-inspired research practices and provides illustrations of what response-able knowledge production may involve. Based on thorough readings of the scholars’ work, careful dialogues concerning the challenges, messiness, thrill and inventiveness of research processes are brought to the fore. The dialogues with Górska, Schrader, de Freitas and Johnson were based on specific research projects, which drew inspiration from agential realist theory, in combination with the ideas of other thinkers. The dialogue with Barad focuses on the continuous development of agential realism. In addition, the book consists of a chapter that introduces agential realism and a closing chapter focusing on some of the main insights agential realism has to offer in relation research practices. The book offers new entry points to agential realism and the conduct of research. It may vitalize methodological prudence and creativity and spark new and previously unimagined ways of thinking and doing research. As such, it will be an essential resource to both newcomers and scholars and students who are already familiar with the theory of agential realism.