Educational Perspectives On Mathematics As Semiosis

Author : Myrdene Anderson
Publisher : Legas Publishing
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.62/5 ( download)

DOWNLOAD NOW!

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.

Author : Heinz Steinbring
Publisher : Springer Science & Business Media
ISBN 13 : 0387242538
Total Pages : 242 pages
Book Rating : 4.38/5 ( download)

DOWNLOAD NOW!

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.

Author : Norma Presmeg
Publisher : Springer
ISBN 13 : 3319702874
Total Pages : 368 pages
Book Rating : 4.72/5 ( download)

DOWNLOAD NOW!

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.

Author : Norma Presmeg
Publisher : Springer
ISBN 13 : 3319313703
Total Pages : 45 pages
Book Rating : 4.02/5 ( download)

DOWNLOAD NOW!

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.

Author :
Publisher :
ISBN 13 :
Total Pages : 291 pages
Book Rating : 4.59/5 ( download)

DOWNLOAD NOW!

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:

Author : Adalira Sáenz-Ludlow
Publisher : Springer
ISBN 13 : 9463003371
Total Pages : 224 pages
Book Rating : 4.77/5 ( download)

DOWNLOAD NOW!

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.

Author : Judit N. Moschkovich
Publisher : IAP
ISBN 13 : 161735161X
Total Pages : 199 pages
Book Rating : 4.17/5 ( download)

DOWNLOAD NOW!

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 199 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.

Author : Marcel Danesi
Publisher : Peter Lang
ISBN 13 : 9780820452401
Total Pages : 250 pages
Book Rating : 4.08/5 ( download)

DOWNLOAD NOW!

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.

Author : Marcel Danesi
Publisher : Springer Nature
ISBN 13 : 3030225372
Total Pages : 344 pages
Book Rating : 4.77/5 ( download)

DOWNLOAD NOW!

Download or read book Interdisciplinary Perspectives on Math Cognition written by Marcel Danesi and published by Springer Nature. This book was released on 2019-09-14 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an anthology of contemporary studies from various disciplinary perspectives written by some of the world's most renowned experts in each of the areas of mathematics, neuroscience, psychology, linguistics, semiotics, education, and more. Its purpose is not to add merely to the accumulation of studies, but to show that math cognition is best approached from various disciplinary angles, with the goal of broadening the general understanding of mathematical cognition through the different theoretical threads that can be woven into an overall understanding. This volume will be of interest to mathematicians, cognitive scientists, educators of mathematics, philosophers of mathematics, semioticians, psychologists, linguists, anthropologists, and all other kinds of scholars who are interested in the nature, origin, and development of mathematical cognition.

Author : Kay O'Halloran
Publisher : A&C Black
ISBN 13 : 1847064213
Total Pages : 239 pages
Book Rating : 4.19/5 ( download)

DOWNLOAD NOW!

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.