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Language and Communication in Mathematics Education
This book considers some of the outstanding questions regarding language and communication in the teaching and learning of mathematics – an established theme in mathematics education research, which is growing in prominence. Recent research has demonstrated the wide range of theoretical and methodological resources that can contribute to this area of study, including those drawing on cross-disciplinary perspectives influenced by, among others, sociology, psychology, linguistics, and semiotics. Examining language in its broadest sense to include all modes of communication, including visual and gestural as well as spoken and written modes, it features work presented and discussed in the Lang...
Routledge Revivals: Speaking Mathematically (1987)
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.
Communication in Mathematics, K-12 and Beyond
This book contains ideas for teachers facing the challenges of turning their classrooms and schools into "discourse communities." The yearbook is divided into four sections. Part 1 (chapters 1-3) sets the stage by considering the challenges inherent in shifting directions of discourse. Part 2 (chapters 4-21) focuses on establishing discourse communities within the classroom. Part 3 (chapters 22-25) moves the discourse discussion outside the K-12 arena. Finally, Part 4 (chapters 26-28) focuses on the role of language in mathematics discourse. Chapters include: (1) "Communication--An Imperative for Change: A Conversation with Mary Lindquist" (M. M. Lindquist & P. C. Elliott); (2) "Diverse Comm...
Mathematical Understanding 5-11
How can you help children to make progress in mathematical understanding? Children's mathematical misconceptions very often arise as a result of poor communication. This practical and innovative book presents a range of creative strategies to help teachers communicate effectively in the mathematics classroom, offering some new ways of presenting the fundamental concepts and principles of mathematics, and clearly demonstrating that the most effective form of communication is not always verbal. Each chapter focuses on a theme or concept central to the numeracy strategy, such as subtraction, shap.
Speaking Mathematically
This stimulating study focuses on mathematics as a language with its own rules and conventions and explores the implications of this for classroom practice.
Mathematical Understanding 5-11
Sam - a young and enthusiastic trainee teacher - asked the class, ′What is the difference between 7 and 6?′. Jo′s hand shot up and he immediately responded, ′Well seven is all straight lines and sixes are all curly.′ How can you help children to make progress in mathematical understanding? Children′s mathematical misconceptions very often arise as a result of poor communication. This practical and innovative book presents a range of creative strategies to help teachers communicate effectively in the mathematics classroom, offering some new ways of presenting the fundamental concepts and principles of mathematics, and clearly demonstrating that the most effective form of communica...
Electronic Information and Communication in Mathematics
This book constitutes the thoroughly refereed post-proceedings of the ICM 2002 International Satellite Conference on Electronic Information and Communication in Mathematics, held in Beijing, China, in August 2002.The 18 revised andnbsp;reviewed papersnbsp;assess the state of the art of the production and dissemination of electronic information in mathematics. Among the topics addressed are models and standards for information and metainformation representation; data search, discovery, retrieval, and analysis; access to distributed and heterogeneous digital collections; intelligent user interfaces to digital libraries; information agents, and cooperative work on mathematical data; digital collection generation; business models; and data security and protection.
On Communication. An Interdisciplinary and Mathematical Approach
This book offers a radical new theoretical approach for the understanding of communication. The theory is operationalized by the application of certain computer programs, namely Soft Computing programs like cellular automata and artificial neural nets. In many examples the authors demonstrate how it is possible to model and analyze communicative processes, such as social combined with cognitive ones.
Handbook Of Mathematical Science Communication
Mathematical science communication, as well as the field of science communication in general, has gained momentum over the last few decades. Mathematical science communication aims to inform the public about contemporary research, enhance factual and methodological knowledge, and foster a greater interest and support for the science of mathematics. This enables the public to apply it to their practical life, and to decision-making on a greater scale. These objectives are met in the various formats and media through which mathematical science communication is brought to the public.The first 13 chapters of the book consist of best-practice examples from the areas of informal math education, museums and exhibitions, and the arts. The final 5 chapters discuss the structural aspects of mathematical science communication and contribute to the basis for its theoretical framework.
Communication Theory
An introduction to the theories of information and codes. The authors exploit the connection to give a self-contained treatment relating the probabilistic and algebraic viewpoints. A background in discrete probability theory is required; the necessary Galois theory is developed as needed.
