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Patterns In Mathematics Classroom Interaction
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Book Synopsis Patterns in Mathematics Classroom Interaction by : Jenni Ingram
Download or read book Patterns in Mathematics Classroom Interaction written by Jenni Ingram and published by . This book was released on 2021-03-02 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patterns in Mathematics Classroom Interaction describes, exemplifies and considers the implications of patterns and structures of mathematics classroom interaction.
Book Synopsis The Construction of New Mathematical Knowledge in Classroom Interaction by : Heinz Steinbring
Download or read book The Construction of New Mathematical Knowledge in Classroom Interaction written by Heinz Steinbring and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Math on the Move by : Malke Rosenfeld
Download or read book Math on the Move written by Malke Rosenfeld and published by Heinemann Educational Books. This book was released on 2016-10-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Kids love to move. But how do we harness all that kinetic energy effectively for math learning? In Math on the Move, Malke Rosenfeld shows how pairing math concepts and whole body movement creates opportunities for students to make sense of math in entirely new ways. Malke shares her experience creating dynamic learning environments by: exploring the use of the body as a thinking tool, highlighting mathematical ideas that are usefully explored with a moving body, providing a range of entry points for learning to facilitate a moving math classroom. ..."--Publisher description.
Book Synopsis The Emergence of Mathematical Meaning by : Paul Cobb
Download or read book The Emergence of Mathematical Meaning written by Paul Cobb and published by Routledge. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a five-year collaboration between groups of American and German mathematics educators. The central issue addressed accounting for the messiness and complexity of mathematics learning and teaching as it occurs in classroom situations. The individual chapters are based on the view that psychological and sociological perspectives each tell half of a good story. To unify these concepts requires a combined approach that takes individual students' mathematical activity seriously while simultaneously seeing their activity as necessarily socially situated. Throughout their collaboration, the chapter authors shared a single set of video recordings and transcripts made in an American elementary classroom where instruction was generally compatible with recent reform recommendations. As a consequence, the book is much more than a compendium of loosely related papers. The combined approach taken by the authors draws on interactionism and ethnomethodology. Thus, it constitutes an alternative to Vygotskian and Soviet activity theory approaches. The specific topics discussed in individual chapters include small group collaboration and learning, the teacher's practice and growth, and language, discourse, and argumentation in the mathematics classroom. This collaborative effort is valuable to educators and psychologists interested in situated cognition and the relation between sociocultural processes and individual psychological processes.
Book Synopsis Making the Connection by : Marilyn Paula Carlson
Download or read book Making the Connection written by Marilyn Paula Carlson and published by MAA. This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.
Book Synopsis Cultural Perspectives on the Mathematics Classroom by : Steve Lerman
Download or read book Cultural Perspectives on the Mathematics Classroom written by Steve Lerman and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics teaching and learning have been dominated by a concern for the intellectual readiness of the child, debates over rote learning versus understanding and, recently, mathematical processes and thinking. The gaze into today's mathematics classroom is firmly focused on the individual learner. Recently, however, studies of mathematics in social practices, including the market place and the home, have initiated a shift of focus. Culture has become identified as a key to understanding the basis on which the learner appropriates meaning. The chapters in this timely book attempt to engage with this shift of focus and offer original contributions to the debate about mathematics teaching and learning. They adopt theoretical perspectives while drawing on the classroom as both the source of investigation and the site of potential change and development. The book will be of fundamental interest to lecturers and researchers and to teachers concerned with the classroom as a cultural phenomenon.
Book Synopsis Patterns in Mathematics Classroom Interaction by : Jenni Ingram
Download or read book Patterns in Mathematics Classroom Interaction written by Jenni Ingram and published by Oxford University Press. This book was released on 2021-03-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classroom interaction has a significant influence on teaching and learning. It is through interaction that we solve problems, build ideas, make connections and develop our understanding. Patterns in Mathematics Classroom Interaction describes, exemplifies and considers the implications of patterns and structures of mathematics classroom interaction. Drawing on a Conversation Analytic approach, the book examines how the structures of interactions between teachers and students influence, enable, and constrain the mathematics that students are experiencing and learning in school. In particular, it considers the handling of difficulties or errors and the consequences on both the mathematics students are learning, and the learning of this mathematics. The various roles of silence and the treatment of knowledge and understanding within everyday classroom interactions also reveal the nature of mathematics as it is taught in different classrooms. Examples of students explaining, reasoning and justifying as they interact are also drawn upon to examine how the structures of classroom interaction support students to develop these discursive practices. The approach taken in Patterns in Mathematics Classroom Interaction enables the identification of not only what structures exist and pervade classroom discourse, but also how these structures influence teaching and learning. It is the understanding of how these structures affect students' experiences in the classroom that permits the use and development of practices that can support students' learning. This reflexive relationship between these structures of interactions and student actions and learning is central to the issues explored in this book, alongside the implications these may have for teachers' practice, and students' learning.
Book Synopsis Discourse Analytic Perspectives on STEM Education by : Juliet Langman
Download or read book Discourse Analytic Perspectives on STEM Education written by Juliet Langman and published by Springer. This book was released on 2017-05-23 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the nature of discourse in secondary and upper elementary mathematics and science classrooms. Chapters examine conditions that support or hinder teachers and students, in particular language learners, in employing language as a tool for learning. The volume provides rich oral and written language examples from a range of classroom contexts to illustrate how linguistic practices affect students’ appropriation and display of disciplinary specific knowledge. Chapters further explore linguistic practices through with the support of discourse analytic models that foreground the authentic classroom data with the aim of understanding the dynamics of the classroom. The authors investigate the intersection between discourse and learning from a range of perspectives, including an examination of key concepts such as intertextuality, interaction, mediation, scaffolding, appropriation, and adaptations. This volume offers concrete suggestions on how teachers might benefit from a discourse approach to teaching in the areas of mathematics and science.
Book Synopsis Beyond the Apparent Banality of the Mathematics Classroom by : Colette Laborde
Download or read book Beyond the Apparent Banality of the Mathematics Classroom written by Colette Laborde and published by Springer Science & Business Media. This book was released on 2007-03-11 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: New research in mathematics education deals with the complexity of the mathematics’ classroom. The classroom teaching situation constitutes a pertinent unit of analysis for research into the ternary didactic relationship which binds teachers, students and mathematical knowledge. The classroom is considered as a complex didactic system, which offers the researcher an opportunity to gauge the boundaries of the freedom that is left with regard to choices about the knowledge to be taught and the ways of organizing the students’ learning, while giveing rise to the study of interrelations between three main elements of the teaching process the: mathematical content to be taught and learned, management of the various time dimensions, and activity of the teacher who prepares and manages the class, to the benefit of the students' knowledge and the teachers' own experience. This volume, reprinted from Educational Studies in Mathematics, Volume 59, focuses on classroom situations as a unit of analysis, the work of the teacher, and is strongly anchored in original theoretical frameworks. The contributions are formulated from the perspective of one or more theoretical frameworks but they are tackled by means of empirical investigations.
Book Synopsis Sociocultural Research on Mathematics Education by : Bill Atweh
Download or read book Sociocultural Research on Mathematics Education written by Bill Atweh and published by Routledge. This book was released on 2013-03-07 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume--the first to bring together research on sociocultural aspects of mathematics education--presents contemporary and international perspectives on social justice and equity issues that impact mathematics education. In particular, it highlights the importance of three interacting and powerful factors--gender, social, and cultural dimensions. Sociocultural Research on Mathematics Education: An International Perspective is distinguished in several ways: * It is research based. Chapters report on significant research projects; present a comprehensive and critical summary of the research findings; and offer a critical discussion of research methods and theoretical perspectives undertaken in the area. * It is future oriented, presenting recommendations for practice and policy and identifying areas for further research. * It deals with all aspects of formal and informal mathematics education and applications and all levels of formal schooling. As the context of mathematics education rapidly changes-- with an increased demand for mathematically literate citizenship; an increased awareness of issues of equity, inclusivity, and accountability; and increased efforts for globalization of curriculum development and research-- questions are being raised more than ever before about the problems of teaching and learning mathematics from a non-cognitive science perspective. This book contributes significantly to addressing such issues and answering such questions. It is especially relevant for researchers, graduate students, and policymakers in the field of mathematics education.
Book Synopsis Mathematics Classrooms in Twelve Countries by :
Download or read book Mathematics Classrooms in Twelve Countries written by and published by BRILL. This book was released on 2006-01-01 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports the accounts of researchers investigating the eighth grade mathematics classrooms of teachers in Australia, China, the Czech Republic, Germany, Israel, Japan, Korea, The Philippines, Singapore, South Africa, Sweden and the USA. This combination of countries gives good representation to different European and Asian educational traditions, affluent and less affluent school systems, and mono-cultural and multi-cultural societies. Researchers within each local group focused their analyses on those aspects of practice and meaning most closely aligned with the concerns of the local school system and the theoretical orientation of the researchers. Within any particular educational system, the possibilities for experimentation and innovation are limited by more than just methodological and ethical considerations: they are limited by our capacity to conceive possible alternatives. They are also limited by our assumptions regarding acceptable practice. These assumptions are the result of a long local history of educational practice, in which every development was a response to emergent local need and reflective of changing local values. Well-entrenched practices sublimate this history of development. The Learner’s Perspective Study is guided by a belief that we need to learn from each other. The resulting chapters offer deeply situated insights into the practices of mathematics classrooms in twelve countries: an insider’s perspective.
Book Synopsis International Handbook of Mathematics Education by : Alan Bishop
Download or read book International Handbook of Mathematics Education written by Alan Bishop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: ALAN J. BISHOP Monash University, Clayton, Victoria, Australia RATIONALE Mathematics Education is becoming a well-documented field with many books, journals and international conferences focusing on a variety of aspects relating to theory, research and practice. That documentation also reflects the fact that the field has expanded enormously in the last twenty years. At the 8th International Congress on Mathematics Education (ICME) in Seville, Spain, for example, there were 26 specialist Working Groups and 26 special ist Topic Groups, as well as a host of other group activities. In 1950 the 'Commission Internationale pour I 'Etude et l' Amelioration de l'Enseignement des Mathematiques' (CIEAEM) was formed and twenty years ago another active group, the 'International Group for the Psychology of Mathematics Education' (PME), began at the third ICME at Karlsruhe in 1976. Since then several other specialist groups have been formed, and are also active through regular conferences and publications, as documented in Edward Jacobsen's Chapter 34 in this volume.
Book Synopsis Mathematics Education by : Barbara Allen
Download or read book Mathematics Education written by Barbara Allen and published by Psychology Press. This book was released on 2004 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Challenging Perspectives on Mathematics Classroom Communication by : Anna Chronaki
Download or read book Challenging Perspectives on Mathematics Classroom Communication written by Anna Chronaki and published by IAP. This book was released on 2006-05-01 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Transformation of Knowledge Through Classroom Interaction by : Baruch Schwarz
Download or read book Transformation of Knowledge Through Classroom Interaction written by Baruch Schwarz and published by Routledge. This book was released on 2009-05-07 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transformation of Knowledge through Classroom Interaction examines and evaluates different ways which have been used to support students learning in classrooms.
Book Synopsis Constructing Mathematical Knowledge by : Paul Ernest
Download or read book Constructing Mathematical Knowledge written by Paul Ernest and published by Routledge. This book was released on 2012-10-12 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1994. This book and its companion volume, Mathematics, Education and Philosophy: An International Perspective are edited collections. Instead of the sharply focused concerns of the research monograph, the books offer a panorama of complementary and forward-looking perspectives. They illustrate the breadth of theoretical and philosophical perspectives that can fruitfully be brough to bear on the mathematics and education. The empathise of this book is on epistemological issues, encompassing multiple perspectives on the learning of mathematics, as well as broader philosophical reflections on the genesis of knowledge. It explores constructivist and social theories of learning and discusses the rile of the computer in light of these theories.
Book Synopsis Promoting Equity in Approximations of Practice for Mathematics Teachers by : Wilkerson Lee, Carrie
Download or read book Promoting Equity in Approximations of Practice for Mathematics Teachers written by Wilkerson Lee, Carrie and published by IGI Global. This book was released on 2024-11-07 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the field of mathematics teacher (PST) education, a profound challenge echoes—the persistent gap between theoretical understanding and practical application. This lingering divide raises a critical concern, one that finds its focus in the exploration of transformative tools known as approximations of practice. These tools aim to provide a realistic and contextualized environment for PSTs to cultivate their teaching skills. However, the broader, often overlooked issue permeating this educational terrain is the question of equity in mathematics instruction—an issue that this book endeavors to unravel and reshape, positioning equity at the forefront of pedagogical considerations. Promoting Equity in Approximations of Practice for Mathematics Teachers, a compelling work that not only delves into the transformative role of approximations but also champions equity as a cornerstone in reshaping the landscape of mathematics education. This groundbreaking work has a dual objective—firstly, to furnish mathematics teacher educators and researchers with a comprehensive overview of the current landscape of approximations in mathematics education. It moves beyond a mere survey, encouraging readers to critically analyze frameworks and design choices that either foreground or dismiss equity in these pedagogical spaces. Divided into three sections, the book delves into the spectrum of work characterizing approximations in mathematics teacher education. The first section surveys diverse approaches, acknowledging the current lack of focus on equity. The second section critically examines the intersection of equity and approximations, fostering collaborations between experts in mathematics education and equity-focused researchers. The third section takes a forward-looking stance, envisioning the future of equity-focused approximations in mathematics education.
