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Routledge Revivals: Speaking Mathematically (1987)

Routledge Revivals: Speaking Mathematically (1987) PDF Author: David Pimm
Publisher: Routledge
ISBN: 1315278847
Category : Education
Languages : en
Pages : 238

Book Description
First published in 1987, this book examines mathematics school teaching from the perspective that it is a language — arguing that this can illuminate many events that occur in classes and highlight issues that may not have previously seemed important. The central concern is with the processes of communication as they are shaped by school conventions and the fact that it is mathematics being discussed. Speaking, listening, writing and reading are examined and analysed with the first half focusing on verbal interactions and the second half examining aspects of pupil written mathematics. Also explored is the nature of the mathematical writing system itself and how pupils gain access to it.

Routledge Revivals: Speaking Mathematically (1987)

Routledge Revivals: Speaking Mathematically (1987) PDF Author: David Pimm
Publisher: Routledge
ISBN: 1315278847
Category : Education
Languages : en
Pages : 238

Book Description
First published in 1987, this book examines mathematics school teaching from the perspective that it is a language — arguing that this can illuminate many events that occur in classes and highlight issues that may not have previously seemed important. The central concern is with the processes of communication as they are shaped by school conventions and the fact that it is mathematics being discussed. Speaking, listening, writing and reading are examined and analysed with the first half focusing on verbal interactions and the second half examining aspects of pupil written mathematics. Also explored is the nature of the mathematical writing system itself and how pupils gain access to it.

Speaking Mathematically: Communication in Mathematics Classrooms

Speaking Mathematically: Communication in Mathematics Classrooms PDF Author: David Pimm
Publisher:
ISBN:
Category : Communication in education
Languages : en
Pages : 217

Book Description


Speaking Mathematically

Speaking Mathematically PDF Author: David Pimm
Publisher: Taylor & Francis
ISBN: 9780415037082
Category : Communication in education
Languages : en
Pages : 217

Book Description
This stimulating study focuses on mathematics as a language with its own rules and conventions and explores the implications of this for classroom practice.

The Philosophy of Mathematics Education

The Philosophy of Mathematics Education PDF Author: Paul Ernest
Publisher: Routledge
ISBN: 1135387540
Category : Education
Languages : en
Pages : 344

Book Description
Although many agree that all teaching rests on a theory of knowledge, there has been no in-depth exploration of the implications of the philosophy of mathematics for education. This is Paul Ernest's aim. Building on the work of Lakatos and Wittgenstein it challenges the prevalent notion that mathematical knowledge is certain, absolute and neutral, and offers instead an account of mathematics as a social construction. This has profound educational implications for social issues, including gender, race and multiculturalism; for pedagogy, including investigations and problem solving; and challenges hierarchical views of mathematics, learning and ability. Beyond this, the book offers a well-grounded model of five educational ideologies, each with its own epistemology, values, aims and social group of adherents. An analysis of the impact of these groups on the National Curriculum results in a powerful critique, revealing the questionable assumptions, values and interests upon which it rests. The book finishes on an optimistic note, arguing that pedagogy, left unspecified by the National Curriculum, is the way to achieve the radical aims of educating confident problem posers and solvers who are able to critically evaluate the social uses of mathematics.

New Directions for Equity in Mathematics Education

New Directions for Equity in Mathematics Education PDF Author: Walter G. Secada
Publisher: Cambridge University Press
ISBN: 9780521477208
Category : Education
Languages : en
Pages : 380

Book Description
This book examines equity from the standpoint of mathematics education - an excellent forum for the topic, since the results are quantifiable and the disparity in performance is stark.

Educational Values and Cognitive Instruction

Educational Values and Cognitive Instruction PDF Author: Lorna Idol
Publisher: Routledge
ISBN: 1135434700
Category : Education
Languages : en
Pages : 481

Book Description
This volume is a comprehensive guide to state-of-the-art research on thinking, cognitive instruction, social values, and reform. Cognitive instruction for at-risk students is discussed in great detail along with a thorough examination of the teaching of thinking skills from the viewpoint of educational values and school culture. The issues of thinking, learning, and cognitive instruction are linked to the educational reform movement from numerous perspectives. Specifically, the reader can better anticipate which aspects of research on thinking will conflict with existing paradigms and which aspects of schooling will be most resistant to change.

Symbolizing, Modeling and Tool Use in Mathematics Education

Symbolizing, Modeling and Tool Use in Mathematics Education PDF Author: K.P Gravemeijer
Publisher: Springer Science & Business Media
ISBN: 9401731942
Category : Education
Languages : en
Pages : 304

Book Description
This book explores the option of building on symbolizing, modeling and tool use as personally meaningful activities of students. It discusses the dimension of setting: varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction; and the dimension of the theoretical framework of the researcher: varying from constructivism, to activity theory, cognitive psychology and instructional-design theory.

Situated Cognition

Situated Cognition PDF Author: David Kirshner
Publisher: Taylor & Francis
ISBN: 1000106047
Category : Psychology
Languages : en
Pages : 334

Book Description
This book is a result of a symposium at a recent annual meeting of the American Educational Research Association that explored foundational issues relative to situated cognition theory. Its chapters contribute to discourse about repositioning situated cognition theory within the broader supporting disciplines and to resolving the problematics addressed within the book. There is a cumulative vision to the book -- its theme is that the notion of the individual in situated cognition theory needs to be fundamentally reformulated. No theoretical reconfiguration of the social world or of social practices can overcome an individual cast in the dualist tradition. This reformulation probes the physiological, psychoanalytic, and semiotic constitution of persons. Chapters authors cover a wide range of topics including: * transfer of training -- arguing that traditional cognitive psychology has found precious little evidence of people's ability to apply knowledge gained in one context to the problems encountered in another; * ecosocial systems -- a new object of inquiry for situated cognition theory in which the primary units of analysis are not things or people, but processes and practices; * how linkages between discursive practices are manifested as semiotic chaining of signifiers for individuals engaged in everyday activities at home or at school; * how the ability to function in ways that are consistent with logic emerges not through reflective abstraction on actions, but through an enhanced sense of agency as more responsible roles are adopted in daily life practices; * the mutual constitution of social and individual knowledge -- familiar terms and concepts normally available through linguistic labels are cultural models, to be distinguished from the variegated and hidden mid-level meanings that reflect their situated uses in social activity; * the material (neurological) substrate through which cultural models and mid-level meanings emerge; and * how learning environments can be structured to take advantage of the perceptual underpinnings of cognition.

Corpus Linguistics and Cross-Disciplinary Action Research

Corpus Linguistics and Cross-Disciplinary Action Research PDF Author: Joanna Baumgart
Publisher: Routledge
ISBN: 1000475417
Category : Language Arts & Disciplines
Languages : en
Pages : 248

Book Description
In this book, Joanna Baumgart offers a detailed and innovative account of how a mixed methods approach, combining corpus linguistics and discourse analysis, can shed light on educational practice. Corpus Linguistics and Cross-Disciplinary Action Research is based on a 22,000-word corpus of mathematics lessons in a multicultural secondary school in Ireland with the analysis of classroom data supported by insights from reflective meetings with the participating teacher. It demonstrates how examination of video recordings of lessons and reflective conversations facilitate discursive changes in the classroom and increase teacher awareness of classroom interaction. Throughout, the role of teacher talk is used as a model in the subject-specific discourse into which students are socialized. Baumgart also relates the story of a successful interdisciplinary approach to action research, thereby providing an example of how talk and interaction can be examined within wider educational contexts. Building on the premise of the key role which language, and talk in particular, plays in teaching and learning processes, this book will be of keen interest to teacher-educators as well as researchers in the fields of corpus linguistics, discourse analysis and educational linguistics.

Teaching Thinking

Teaching Thinking PDF Author: Cathy Collins
Publisher: Routledge
ISBN: 1136472452
Category : Education
Languages : en
Pages : 376

Book Description
Comprehensively addressing the development of thinking from a wide variety of perspectives, this volume presents original work from cognitive psychologists, curriculum specialists, federal government and business leaders, politicians, educational theorists, and other prominent figures specializing in this complex field. These experts provide directives for teacher education, textbook development, classroom activities, administrative policies, publication procedures, business connections, community education strategies, and whole school projects as sample plans of action. Designed to spark adoptions of the solutions it proposes, this book suggests significant steps that can be taken to move toward more advanced thinking instruction in our educational systems.