Fundamental Constructs in Mathematics Education PDF Download
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Author: John Mason
Publisher: Psychology Press
ISBN: 9780415326971
Category : Education
Languages : en
Pages : 360
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Book Description
This book brings together a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature.
Author: John Mason
Publisher: Psychology Press
ISBN: 9780415326971
Category : Education
Languages : en
Pages : 360
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Book Description
This book brings together a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature.
Author: Sue Johnston-Wilder
Publisher: Routledge
ISBN: 1134338910
Category : Education
Languages : en
Pages : 350
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Book Description
Fundamental Constructs in Mathematics Education is a unique sourcebook which has been crafted from a collection of classic tasks, extracts and texts that have been quoted repeatedly in mathematics education literature. Linked together by the editors'' narrative, the book provides a fascinating examination of key constructs in mathematics education. The book is divided into two parts. The first part examines ''thinking about the learner'' and includes the following constructs: constructivisms, activity theory and didactics. Beginning with a chapter dedicated to the classic tasks used by researchers to ''probe'' learners'' understanding, readers are encouraged to try these theories themselves with learners and be knowledgeable when they encounter them in other writing. The second part focuses on ''thinking and teaching'' and includes issues of getting started, keeping going and bringing to a conclusion. Bringing together writing from Balacheff, Brousseau, Bruner, Cobb, Comfrey, Freudenthal, Greeno, Marton, Piaget, Schon, Vygotsky and many others, this unique examination of constructs in mathematics education will be a valuable resource for anyone reading literature related to learning mathematics be they a teacher, adviser or a student on a masters or PhD course.
Author: Sebastian Rezat
Publisher: Springer Science & Business Media
ISBN: 1461434890
Category : Education
Languages : en
Pages : 417
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Book Description
The diversity of research domains and theories in the field of mathematics education has been a permanent subject of discussions from the origins of the discipline up to the present. On the one hand the diversity is regarded as a resource for rich scientific development on the other hand it gives rise to the often repeated criticism of the discipline’s lack of focus and identity. As one way of focusing on core issues of the discipline the book seeks to open up a discussion about fundamental ideas in the field of mathematics education that permeate different research domains and perspectives. The book addresses transformation as one fundamental idea in mathematics education and examines it from different perspectives. Transformations are related to knowledge, related to signs and representations of mathematics, related to concepts and ideas, and related to instruments for the learning of mathematics. The book seeks to answer the following questions: What do we know about transformations in the different domains? What kinds of transformations are crucial? How is transformation in each case conceptualized?
Author: Lyn D. English
Publisher: Routledge
ISBN: 1134626649
Category : Education
Languages : en
Pages : 739
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Book Description
This third edition of the Handbook of International Research in Mathematics Education provides a comprehensive overview of the most recent theoretical and practical developments in the field of mathematics education. Authored by an array of internationally recognized scholars and edited by Lyn English and David Kirshner, this collection brings together overviews and advances in mathematics education research spanning established and emerging topics, diverse workplace and school environments, and globally representative research priorities. New perspectives are presented on a range of critical topics including embodied learning, the theory-practice divide, new developments in the early years, educating future mathematics education professors, problem solving in a 21st century curriculum, culture and mathematics learning, complex systems, critical analysis of design-based research, multimodal technologies, and e-textbooks. Comprised of 12 revised and 17 new chapters, this edition extends the Handbook’s original themes for international research in mathematics education and remains in the process a definitive resource for the field.
Author: Mellony Graven
Publisher: Springer
ISBN: 1137529806
Category : Education
Languages : en
Pages : 273
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Book Description
This book focuses on how to improve the teaching and learning of primary level mathematics education within resource-constrained contexts. It builds on two large numeracy projects within South Africa which speak to broader, global concerns and highlight how research and development not only enables one to meet ethical imperatives but also explore how further interventions can be developed. Teacher and research communities must work together to create mutually beneficial relationships and establish a cohesive understanding of the requirements of primary mathematics education.
Author: Rina Zazkis
Publisher: Springer
ISBN: 3319626922
Category : Education
Languages : en
Pages : 437
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Book Description
This book shows how the practice of script writing can be used both as a pedagogical approach and as a research tool in mathematics education. It provides an opportunity for script-writers to articulate their mathematical arguments and/or their pedagogical approaches. It further provides researchers with a corpus of narratives that can be analyzed using a variety of theoretical perspectives. Various chapters argue for the use of dialogical method and highlight its benefits and special features. The chapters examine both “low tech” implementations as well as the use of a technological platform, LessonSketch. The chapters present results of and insights from several recent studies, which utilized scripting in mathematics education research and practice.
Author: Barbara Allen
Publisher: Psychology Press
ISBN: 0415327008
Category : Mathematics
Languages : en
Pages : 256
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Book Description
This book focuses on the issues surrounding researching mathematics education, in particular the notion of the culture of the mathematics classroom, communication in mathematics classrooms and pupils' and teachers' perceptions.
Author: Maria Aparecida Viggiani Bicudo
Publisher: Springer Nature
ISBN: 3031352092
Category : Education
Languages : en
Pages : 492
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Book Description
Ongoing Advancements in Philosophy of Mathematics Education approaches the philosophy of mathematics education in a forward movement, analyzing, reflecting, and proposing significant contemporary themes in the field of mathematics education. The theme that gives life to the book is philosophy of mathematics education understood as arising from the intertwining between philosophy of mathematics and philosophy of education which, through constant analytical and reflective work regarding teaching and learning practices in mathematics, is materialized in its own discipline, philosophy of mathematics education. This is the field of investigation of the chapters in the book. The chapters are written by an international cohort of authors, from a variety of countries, regions, and continents. Some of these authors work with philosophical and psychological foundations traditionally accepted by Western civilization. Others expose theoretical foundations based on a new vision and comprising innovative approaches to historical and present-day issues in educational philosophy. The final third of the book is devoted to these unique and innovative research stances towards important and change resistant societal topics such as racism, technology gaps, or the promotion of creativity in the field of mathematics education.
Author: Tony Brown
Publisher: Springer Science & Business Media
ISBN: 9400717393
Category : Education
Languages : en
Pages : 221
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Book Description
This book is centrally concerned with how mathematics education is represented and how we understand mathematical teaching and learning with view to changing them. It considers teachers, students and researchers. It explores their mathematical thinking and the concepts that this thought produces. But also how these concepts acquire cultural layers that mediate our apprehension. The book examines some of the linguistic and socio-cultural filters that influence mathematical understanding. But above all it introduces some contemporary theories of human subjectivity, in which subjectivity is seen primarily as consequential to, rather than productive of, our attempts to represent or categorise the world in which we live. That is, our sense of who we are results from our attempts to see ourselves against the various versions of the world that we encounter. Such theories trouble the very notion of mathematical "concepts" as apprehended by "humans". And in foregrounding this concern with subjectivity the book considers mathematics rather differently to styles more familiar in many instances of mathematics education research. The book proposes that mathematics can provoke us to think differently about our world and as a result enable our transformative capacities. Such an orientation may disturb our understanding of what mathematics is, how it exists in an "objective" sense, insofar as mathematical objects can be derived from social filters being applied to the world, but also serve as filters on the world capable of producing new social entities.
Author: Andrew J.C. Begg
Publisher: BRILL
ISBN: 9087903871
Category : Education
Languages : en
Pages : 248
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Book Description
An important contribution that ‘Emerging curriculum’ makes is a reconceptualizing of the curriculum development process. This moves development thinking from the traditional research-development-dissemination model to one that acknowledges: the interrelatedness of many influences on curriculum, the multi-layered nature of curriculum, and the complexity of the educational system in which curriculum exists. Indeed the educational system is envisaged as a ‘complex living system’.
