Download or read book Educational Perspectives on Mathematics as Semiosis written by Myrdene Anderson and published by Legas Publishing. This book was released on 2003 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics education research routinely receives the attention of educators, mathematicians, linguists, psychologists, anthropologists, and others. In this volume, the induction of students into mathematical meaning-making is studied through the prism of these several disciplines. What unites all such approaches to pedagogy and to the assessment of pegagogy- and to the subject matter of mathematics itself - is semiotics. Myrdene Anderson teaches at Purdue University, Adalira Saenz-Ludlow teaches at the U of North Carolina, Shea Zetlweger is former chair at Mount Union College, Ohio, Victor V. Cifarelli teaches at the U. ol North Carolina.
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.
Download or read book Signs of Signification written by Norma Presmeg and published by Springer. This book was released on 2018-01-23 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a significant area of mathematics education research in the last two decades and presents the types of semiotic theories that are employed in mathematics education. Following on the summary of significant issues presented in the Topical Survey, Semiotics in Mathematics Education, this book not only introduces readers to semiotics as the science of signs, but it also elaborates on issues that were highlighted in the Topical Survey. In addition to an introduction and a closing chapter, it presents 17 chapters based on presentations from Topic Study Group 54 at the ICME-13 (13th International Congress on Mathematical Education). The chapters are divided into four major sections, each of which has a distinct focus. After a brief introduction, each section starts with a chapter or chapters of a theoretical nature, followed by others that highlight the significance and usefulness of the relevant theory in empirical research.
Download or read book Semiotic perspectives in mathematics education written by and published by . This book was released on 2006 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Language and Mathematics Education written by Judit N. Moschkovich and published by IAP. This book was released on 2010-11-01 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutiérrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.
Download or read book Problem solving in Mathematics written by Marcel Danesi and published by Peter Lang. This book was released on 2008 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem-solving in mathematics is seen by many students as a struggle. Since the capacity to count and understand basic arithmetical concepts (adding, taking away, etc.) is innate and emerges effortlessly in childhood, why does this negative perception and fear of problem-solving exist? This book counteracts this perception by providing a semiotic analysis of problem-solving and, from this analysis, constructing a pedagogical framework for teaching problem-solving that is consistent with the psychology of how humans learn to use signs and symbols. It is based on an experimental math course designed to impart fluency in problem-solving through semiotic training. The positive results of that course inspired the writing of this book.
Download or read book Semiotics in Mathematics Education written by Norma Presmeg and published by Springer. This book was released on 2016-04-11 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses semiotics in mathematics education as an activity with a formal sign system, in which each sign represents something else. Theories presented by Saussure, Peirce, Vygotsky and other writers on semiotics are summarized in their relevance to the teaching and learning of mathematics. The significance of signs for mathematics education lies in their ubiquitous use in every branch of mathematics. Such use involves seeing the general in the particular, a process that is not always clear to learners. Therefore, in several traditional frameworks, semiotics has the potential to serve as a powerful conceptual lens in investigating diverse topics in mathematics education research. Topics that are implicated include (but are not limited to): the birth of signs; embodiment, gestures and artifacts; segmentation and communicative fields; cultural mediation; social semiotics; linguistic theories; chains of signification; semiotic bundles; relationships among various sign systems; intersubjectivity; diagrammatic and inferential reasoning; and semiotics as the focus of innovative learning and teaching materials.
Download or read book Semiotics as a Tool for Learning Mathematics written by Adalira Sáenz-Ludlow and published by Springer. This book was released on 2015-12-17 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiotics as a Tool for Learning Mathematics is a collection of ten theoretical and empirical chapters, from researchers all over the world, who are interested in semiotic notions and their practical uses in mathematics classrooms. Collectively, they present a semiotic contribution to enhance pedagogical aspects both for the teaching of school mathematics and for the preparation of pre-service teachers. This enhancement involves the use of diagrams to visualize implicit or explicit mathematical relations and the use of mathematical discourse to facilitate the emergence of inferential reasoning in the process of argumentation. It will also facilitate the construction of proofs and solutions of mathematical problems as well as the progressive construction of mathematical conceptions that, eventually, will approximate the concept(s) encoded in mathematical symbols. These symbols hinge not only of mental operations but also on indexical and iconic aspects; aspects which often are not taken into account when working on the meaning of mathematical symbols. For such an enhancement to happen, it is necessary to transform basic notions of semiotic theories to make them usable for mathematics education. In addition, it is also necessary to back theoretical claims with empirical data. This anthology attempts to deal with such a conjunction. Overall, this book can be used as a theoretical basis for further semiotic considerations as well as for the design of different ways of teaching mathematical concepts.
Download or read book Mathematics Education within the Postmodern written by Margaret Walshaw and published by IAP. This book was released on 2004-06-01 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely and accessible book presents a challenge to accepted wisdoms about both the nature of mathematics and of education. The authors of this groundbreaking volume bring to bear on this intersection a postmodern sensibility that engages with the grand narratives of mathematics education. Thus they provide a key resource for rethinking theory and practice in mathematics education. Each of the chapters develops important insights for mathematics education from mainly French intellectuals of the past: Foucault, Lacan, Lyotard, Deleuze. Each chapter addresses issues relevant to mathematics education, researching and teaching mathematics.
Download or read book Semiotics Education Experience written by and published by BRILL. This book was released on 2010-01-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Semiotics Education Experience” is a collection of fifteen essays edited by Inna Semetsky that explores semiotic approaches to education: semiotics of teaching, learning, and curriculum; educational theory and philosophies of Dewey, Peirce, and Deleuze; education as political semiosis; logic and mathematics; visual signs; semiotics and complexity; semiotics and ethics of the self. This is a landmark collection of cross-disciplinary chapters by international scholars that mark out the appeal and significance of a semiotic approach to education. As Marcel Danesi reminds us in the Foreword, Vygotsky construed learning theory as the science of signs. Semetsky’'-s collection should be widely read by students and scholars in education, philosophy, futures studies, cultural studies, and related disciplines. It deserves the widest dissemination. Michael A Peters, Professor, University of Illinois at Urbana-Champaign; Editor, Educational Philosophy & Theory and Policy Futures in Education
Download or read book Latinos as and Mathematics Education written by Kip Téllez and published by IAP. This book was released on 2011-05-01 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book that explores the mathematics education of Latinos/as in 13 original research studies. Each chapter represents research that grounds mathematics instruction for Latinos/as in the resources to be found in culture and language. By inverting the deficit perspective, this volume redresses the shortcomings found in the previous literature on Latino/a learners. Each study frames language (e.g. bilingualism) not as an obstacle to learning, but as a resource for mathematical reasoning. Other chapters explore the notion of cultural variation not as a liability but as a tool for educators to build upon in the teaching of mathematics. Specifically, the book reframes culture as a focus on the practices, objects, inscriptions, or people that connect mathematical concepts to student thinking and experiences, both in and out of school. The book's four sections divide the research: The first section of the book focuses on mathematic learning in classrooms, specifically exploring bilingual, Latino/a students; the second section explores Latino/a learners in communities, including the role parents can play in advancing learning; the third section includes chapters focused on teacher professional growth; the final section concerns the assessment (and mis-assessment) of Latino/a learners. The research shared in this volume provides ample evidence that mathematics educators who choose to ignore language or culture in their pedagogy risk shortchanging their Latino/a students.
Download or read book Mathematical Discourse written by Kay O'Halloran and published by A&C Black. This book was released on 2008-11-01 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: An examination of mathematical discourse from the perspective of Michael Halliday's social semiotic theory.
Download or read book Mathematics Substance and Surmise written by Ernest Davis and published by Springer. This book was released on 2015-11-17 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seventeen thought-provoking and engaging essays in this collection present readers with a wide range of diverse perspectives on the ontology of mathematics. The essays address such questions as: What kind of things are mathematical objects? What kinds of assertions do mathematical statements make? How do people think and speak about mathematics? How does society use mathematics? How have our answers to these questions changed over the last two millennia, and how might they change again in the future? The authors include mathematicians, philosophers, computer scientists, cognitive psychologists, sociologists, educators and mathematical historians; each brings their own expertise and insights to the discussion. Contributors to this volume: Jeremy Avigad Jody Azzouni David H. Bailey David Berlinski Jonathan M. Borwein Ernest Davis Philip J. Davis Donald Gillies Jeremy Gray Jesper Lützen Ursula Martin Kay O’Halloran Alison Pease Steven Piantadosi Lance Rips Micah T. Ross Nathalie Sinclair John Stillwell Hellen Verran
Download or read book Teaching Math to Multilingual Students Grades K 8 written by Kathryn B. Chval and published by Corwin Press. This book was released on 2021-01-07 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using strengths-based approaches to support development in mathematics It’s time to re-imagine what’s possible and celebrate the brilliance multilingual learners bring to today’s classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the competencies required to teach these learners effectively, especially in disciplines such as mathematics. Multilingual learners—historically called English Language Learners—are expected to interpret the meaning of problems, analyze, make conjectures, evaluate their progress, and discuss and understand their own approaches and the approaches of their peers in mathematics classrooms. Thus, language plays a vital role in mathematics learning, and demonstrating these competencies in a second (or third) language is a challenging endeavor. Based on best practices and the authors’ years of research, this guide offers practical approaches that equip grades K-8 teachers to draw on the strengths of multilingual learners, partner with their families, and position these learners for success. Readers will find: • A focus on multilingual students as leaders • A strength-based approach that draws on students’ life experiences and cultural backgrounds • An emphasis on maintaining high expectations for learners’ capacity for mastering rigorous content • Strategies for representing concepts in different formats • Stop and Think questions throughout and reflection questions at the end of each chapter • Try It! Implementation activities, student work examples, and classroom transcripts With case studies and activities that provide a solid foundation for teachers’ growth and exploration, this groundbreaking book will help teachers and teacher educators engage in meaningful, humanized mathematics instruction.
Download or read book Handbook of Language and Literacy written by C. Addison Stone and published by Guilford Publications. This book was released on 2013-09-24 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: An acclaimed reference that fills a significant gap in the literature, this volume examines the linkages between spoken and written language development, both typical and atypical. Leading authorities address the impact of specific language-related processes on K-12 literacy learning, with attention to cognitive, neurobiological, sociocultural, and instructional issues. Approaches to achieving optimal learning outcomes with diverse students are reviewed. The volume presents research-based practices for assessing student needs and providing effective instruction in all aspects of literacy: word recognition, reading comprehension, writing, and spelling. New to This Edition *Chapters on digital literacy, disciplinary literacy, and integrative research designs. *Chapters on bilingualism, response to intervention, and English language learners. *Incorporates nearly a decade's worth of empirical and theoretical advances. *Numerous prior edition chapters have been completely rewritten.
Download or read book Understanding the Mathematical Way of Thinking The Registers of Semiotic Representations written by Raymond Duval and published by Springer. This book was released on 2017-07-18 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Raymond Duval shows how his theory of registers of semiotic representation can be used as a tool to analyze the cognitive processes through which students develop mathematical thinking. To Duval, the analysis of mathematical knowledge is in its essence the analysis of the cognitive synergy between different kinds of semiotic representation registers, because the mathematical way of thinking and working is based on transformations of semiotic representations into others. Based on this assumption, he proposes the use of semiotics to identify and develop the specific cognitive processes required to the acquisition of mathematical knowledge. In this volume he presents a method to do so, addressing the following questions: • How to situate the registers of representation regarding the other semiotic “theories” • Why use a semio-cognitive analysis of the mathematical activity to teach mathematics • How to distinguish the different types of registers • How to organize learning tasks and activities which take into account the registers of representation • How to make an analysis of the students’ production in terms of registers Building upon the contributions he first presented in his classic book Sémiosis et pensée humaine, in this volume Duval focuses less on theoretical issues and more on how his theory can be used both as a tool for analysis and a working method to help mathematics teachers apply semiotics to their everyday work. He also dedicates a complete chapter to show how his theory can be applied as a new strategy to teach geometry. “Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations is an essential work for mathematics educators and mathematics teachers who look for an introduction to Raymond Duval’s cognitive theory of semiotic registers of representation, making it possible for them to see and teach mathematics with fresh eyes.” Professor Tânia M. M. Campos, PHD.
Download or read book Educational Dialogues written by Karen Littleton and published by Routledge. This book was released on 2010-01-21 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an illustrated case for the importance of dialogue and its role in developing non-passive interactive learning.
