Challenging Perspectives On Mathematics Classroom Communication
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Challenging Perspectives On Mathematics Classroom Communication
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Author : Anna Chronaki
language : en
Publisher: IAP
Release Date : 2006-05-01
Challenging Perspectives On Mathematics Classroom Communication written by Anna Chronaki and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-01 with Mathematics categories.
The editors and contributors of these ten articles focus on the idea that communication includes both what is happening and being said among participants in a classroom and also the politics, values and ideologies that serve as the foundation of the practice. They describe how communication thereby involves register, representation and contexts through media-human interfaces in the classroom and in interpreting mathematics as a text, how communication in mathematics teaching becomes social interaction in cooperative settings and classroom activities, and how communication translates into practice, community, identity and policy.
The Construction Of New Mathematical Knowledge In Classroom Interaction
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Author : Heinz Steinbring
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
The Construction Of New Mathematical Knowledge In Classroom Interaction written by Heinz Steinbring and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Education categories.
Mathematics is generally considered as the only science where knowledge is uni form, universal, and free from contradictions. „Mathematics is a social product - a 'net of norms', as Wittgenstein writes. In contrast to other institutions - traffic rules, legal systems or table manners -, which are often internally contradictory and are hardly ever unrestrictedly accepted, mathematics is distinguished by coherence and consensus. Although mathematics is presumably the discipline, which is the most differentiated internally, the corpus of mathematical knowledge constitutes a coher ent whole. The consistency of mathematics cannot be proved, yet, so far, no contra dictions were found that would question the uniformity of mathematics" (Heintz, 2000, p. 11). The coherence of mathematical knowledge is closely related to the kind of pro fessional communication that research mathematicians hold about mathematical knowledge. In an extensive study, Bettina Heintz (Heintz 2000) proposed that the historical development of formal mathematical proof was, in fact, a means of estab lishing a communicable „code of conduct" which helped mathematicians make themselves understood in relation to the truth of mathematical statements in a co ordinated and unequivocal way.
Mathematical Thinking And Communication
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Author : Mark Driscoll
language : en
Publisher: Heinemann Educational Books
Release Date : 2016
Mathematical Thinking And Communication written by Mark Driscoll and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Education categories.
Language is deeply involved in learning mathematics as students both communicate and think about mathematical ideas. Because of this, teachers of English learners have particular challenges to overcome. Mathematical Thinking and Communication addresses perhaps the most significant challenge: providing access to mathematics for these students. For all students-and English learners in particular-access means finding effective, authentic ways to make language clear and thinking visible so they can reason more, speak more, and write more in mathematics. Based on extensive research and collaboration with teachers, coaches, and schools, Mark Driscoll, Johannah Nikula, and Jill Neumayer DePiper outline four principles for designing instruction that creates this kind of access: challenging tasks, multimodal representations, development of mathematical communication, and repeated structured practice. Starting from the perspective that English learners are capable of mathematical thinking (even as they are learning to express their ideas verbally), the authors highlight techniques for using gestures, drawings, models, manipulatives, and technology as tools for reasoning and communication. By embedding these visual representations into instruction-and encouraging their regular use-teachers support engagement in problem solving, facilitate mathematical dialogue, and notice evidence of students' thinking that propels them to create more engaging and equitable instruction. Enhanced by an extensive online collection of companion professional development resources, this book highlights classroom-ready strategies and routines for fostering mathematics success in all students and helping them recognize their potential.
Challenging Mathematics In And Beyond The Classroom
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Author : Edward J. Barbeau
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-21
Challenging Mathematics In And Beyond The Classroom written by Edward J. Barbeau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-21 with Education categories.
In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.
Thinking Through Mathematics
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Author : Edward A. Silver
language : en
Publisher:
Release Date : 1990
Thinking Through Mathematics written by Edward A. Silver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
This document focuses on how mathematics teaching and learning can be improved by developing more powerful approaches to connect thinking and mathematics. It proposes changing perspectives on what it means to learn and do mathematics and explores how these perspectives can be incorporated into the teaching of secondary school mathematics. Chapter 1 offers a view of mathematics as emerging largely from individual and social activity rather than from textbooks, worksheets, and tradition. The learner is depicted as someone who actively constructs meaning instead of passively receiving it. Chapter 2 considers how a greater emphasis on communication (discussion, debate, recording, and writing) stimulates and uncovers students' learning and thinking and leads to a deeper understanding by both teachers and students. Chapter 3 explores how teachers might encourage greater inquiry and communication in a secondary school class by making minor, but thought-provoking changes in ordinary problems and situations. Finally, chapter 4 gives some practical advice on transforming the mathematics classroom into a place where students are expected not only to absorb and consume mathematics but also to produce and think about it. Contains 17 references and 17 figures. (MKR)
Challenging Mathematics In And Beyond The Classroom
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Author : Edward J. Barbeau
language : en
Publisher: Springer
Release Date : 2010-10-28
Challenging Mathematics In And Beyond The Classroom written by Edward J. Barbeau and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-28 with Education categories.
In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.
Language And Communication In The Mathematics Classroom
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Author : Heinz Steinbring
language : en
Publisher:
Release Date : 1998
Language And Communication In The Mathematics Classroom written by Heinz Steinbring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Education categories.
The way in which teachers communicate with their students partly determines what they communicate. This book addresses the communication issue by building on a series of papers whose first versions were presented in 1992 at the Sixth International Congress of Mathematics Education in Quebec. Papers include: (1) "Crossing the Gulf between Thought and Symbol: Language as (Slippery) Stepping-Stones" (Susan E.B. Pirie); (2) "Three Epistemologies, Three Views of Classroom Communication: Constructivism, Sociocultural Approaches, Interactionism" (Anna Sierpinska); (3) "Verbal Interaction in the Mathematics Classroom: A Vygotskian Analysis" (Maria G. Bartolini Bussi); (4) "Discourse and Beyond: On the Ethnography of Classroom Discourse" (Falk Seeger); (5) "From 'Stoffdidaktik' to Social Interactionism: An Evolution of Approaches to the Study of Language and Communication in German Mathematics Education Research" (Heinz Steinbring); (6) "Examining the Linguistic Mediation of Pedagogic Interactions in Mathematics" (Clive Kanes); (7) "Pupil Language-Teacher Language: Two Case Studies and the Consequences for Teacher Training" (Albrecht Abele); (8) "Teacher-Student Communication in Traditional and Constructivist Approaches to Teaching" (Maria Luiza Cestari); (9) "Alternative Patterns of Communication in Mathematics Classes: Funneling or Focusing?" (Terry Wood); (10) "Students Communicating in Small Groups: Making Sense of Data in Graphical Form" (Frances R. Curcio and Alice F. Artzt); (11) "Communication and Learning in Small-Group Discussions" (Kaye Stacey and Anne Gooding); (12) "Mathematical Communication through Small-Group Discussions" (Marta Civil); (13) "Formats of Argumentation in the Mathematics Classroom" (Gotz Krummheuer); (14) "Teaching without Instruction: The Neo-Socratic Method" (Rainer Loska); (15) "The Role of Natural Language in Prealgebraic and Algebraic Thinking" (Ferdinando Arzarello); (16) "How Students Interpret Equations: Intuition versus Taught Procedures" (Mollie MacGregor); (17) "Epistemological and Metacognitive Factors Involved in the Learning of Mathematics: The Case of Graphic Representations of Functions" (Maria Kaldrimidou and Andreas Ikonomou); (18) "Making Mathematics Accessible" (Megan Clark); (19) "Itineraries through Logic To Enhance Linguistic and Argumentative Skills" (Giancarlo Navarra); and (20)"Communication in a Secondary Mathematics Classroom: Some Images" (Judith Fonzi and Constance Smith). (ASK)
Perspectives On Practice And Meaning In Mathematics And Science Classrooms
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Author : D. Clarke
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11
Perspectives On Practice And Meaning In Mathematics And Science Classrooms written by D. Clarke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Education categories.
This is a variegated picture of science and mathematics classrooms that challenges a research tradition that converges on the truth. The reader is surrounded with different images of the classroom and will find his beliefs confirmed or challenged. The book is for educational researchers, research students, and practitioners with an interest in optimizing the effectiveness of classrooms as environments for learning.
Mathematics Teacher Education
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Author : A.J. Dawson
language : en
Publisher: Routledge
Release Date : 2003-09-02
Mathematics Teacher Education written by A.J. Dawson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-02 with Education categories.
Currently there is substantial exchange and communication between academic communities around the world as researchers endeavour to discover why so many children 'fail' at a subject that society deems crucial for future economic survival. This book charts current thinking and trends in teacher education around the world, and looks critically at the inservice education of maths teachers. The contributors explore the processes , practices and issues in teacher education projects in ten countries and these are then discussed and related to current philosophies of teacher education. The book provides an insight into the successes and shortcomings of many different approaches to maths education.
Emerging Perspectives On Gesture And Embodiment In Mathematics
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Author : Laurie D. Edwards
language : en
Publisher: IAP
Release Date : 2014-07-01
Emerging Perspectives On Gesture And Embodiment In Mathematics written by Laurie D. Edwards and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-01 with Education categories.
The purpose of the book is to establish a common language for, and understanding of, embodiment as it applies to mathematical thinking, and to link mathematics education research to recent work in gesture studies, cognitive linguistics and the theory of embodied cognition. Just as in past decades, mathematics education experienced a "turn to the social" in which socio-cultural factors were explored, in recent years there has been a nascent "turn to the body." An increasing number of researchers and theorists in mathematics education have become interested in the fact that, although mathematics may be socially constructed, this construction is not arbitrary or unconstrained, but rather is rooted in, and shaped by, the body. All those who engage with mathematics, whether at an elementary or advanced level, share the same basic biological and cognitive capabilities, as well as certain common physical experiences that come with being humans living in a material world. In addition, the doing and communicating of mathematics is never a purely intellectual activity: it involves a wide range of bodily actions, from committing inscriptions to paper or whiteboard, to speaking, listening, gesturing and gazing. This volume will present recent research on gesture and mathematics, within a framework that addresses several levels of mathematical development. The chapters will begin with contributions that examine early mathematical and proto-mathematical knowledge, for example, the conservation of volume and counting. The role of gesture in teaching and learning arithmetic procedures will be addressed. Core concepts and tools from secondary level mathematics will be investigated, including algebra, functions and graphing. And finally, research into the embodied understanding of advanced topics in geometry and calculus will be presented. The overall goal for the volume is to acknowledge the multimodal nature of mathematical knowing, and to contribute to the creation of a model of the interactions and mutual influences of bodily motion, spatial thinking, gesture, speech and external inscriptions on mathematical thinking, communication and learning. The intended audience is researchers and theorists in mathematics education as well as graduate students in the field.