Download or read book Mathematical Cultures written by Brendan Larvor and published by Birkhäuser. This book was released on 2016-05-25 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection presents significant contributions from an international network project on mathematical cultures, including essays from leading scholars in the history and philosophy of mathematics and mathematics education.​ Mathematics has universal standards of validity. Nevertheless, there are local styles in mathematical research and teaching, and great variation in the place of mathematics in the larger cultures that mathematical practitioners belong to. The reflections on mathematical cultures collected in this book are of interest to mathematicians, philosophers, historians, sociologists, cognitive scientists and mathematics educators.

Download or read book Windows on Mathematical Meanings written by Richard Noss and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book challenges some of the conventional wisdoms on the learning of mathematics. The authors use the computer as a window onto mathematical meaning-making. The pivot of their theory is the idea of webbing, which explains how someone struggling with a new mathematical idea can draw on supportive knowledge, and reconciles the individual's role in mathematical learning with the part played by epistemological, social and cultural forces.

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.

Download or read book Sharing Maths Cultures IMPACT written by Ruth Merttens and published by Routledge. This book was released on 2002-09-11 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1990. Routledge is an imprint of Taylor & Francis, an informa company.

Download or read book Math and Science Across Cultures written by Maurice Bazin and published by . This book was released on 2002 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the creators of the bestselling "The Explorabook" come innovative, hands-on math and science activities of many cultures. With instructions in this book, one can construct a Brazilian carnival instrument, play a peg solitaire game from Madagascar, or count like an Egyptian. Illustrations throughout.

Download or read book Mathematical Enculturation written by Alan Bishop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is in the unenviable position of being simultaneously one of the most important school subjects for today's children to study and one of the least well understood. Its reputation is awe-inspiring. Everybody knows how important it is and everybody knows that they have to study it. But few people feel comfortable with it; so much so that it is socially quite acceptable in many countries to confess ignorance about it, to brag about one's incompe tence at doing it, and even to claim that one is mathophobic! So are teachers around the world being apparently legal sadists by inflicting mental pain on their charges? Or is it that their pupils are all masochists, enjoying the thrill of self-inflicted mental torture? More seriously, do we really know what the reasons are for the mathematical activity which goes on in schools? Do we really have confidence in our criteria for judging what's important and what isn't? Do we really know what we should be doing? These basic questions become even more important when considered in the context of two growing problem areas. The first is a concern felt in many countries about the direction which mathematics education should take in the face of the increasing presence of computers and calculator-related technol ogy in society.

Download or read book Cultural Foundations of Mathematics written by C. K. Raju and published by Pearson Education India. This book was released on 2007 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.

Download or read book Cultural Development of Mathematical Ideas written by Geoffrey B. Saxe and published by Cambridge University Press. This book was released on 2012-09-28 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing upon field studies conducted in 1978, 1980 and 2001 with the Oksapmin, a remote Papua New Guinea group, Geoffrey B. Saxe traces the emergence of new forms of numerical representations and ideas in the social history of the community. In traditional life, the Oksapmin used a counting system that makes use of twenty-seven parts of the body; there is no evidence that the group used arithmetic in prehistory. As practices of economic exchange and schooling have shifted, children and adults unwittingly reproduced and altered the system in order to solve new kinds of numerical and arithmetical problems, a process that has led to new forms of collective representations in the community. While Dr Saxe's focus is on the Oksapmin, the insights and general framework he provides are useful for understanding shifting representational forms and emerging cognitive functions in any human community.

Download or read book Math Is a Verb written by James Barta and published by National. This book was released on 2013 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: For most people, the word mathematics is a noun. But for many people in different cultures, mathematics is not simply something they learn in school but something they do as an intrinsic part of their everyday lives. This book is a guide for teachers who would like to enhance their mathematics instruction by integrating it with examples and activities from cultures throughout the world. It provides culturally situated examples, each linked to Common Core objectives that show how mathematics can be so much more than a story problem or an exercise in a worksheet with little or no context. The eleven chapters provide a range of activities from around the world that teach students key math concepts while introducing them to a diversity of cultures. For example: In a Mayan village in Guatemala, students use math as a means to increase the traditional corn harvest Traditional symbols stamped on cloth in Ghana spark an exploration of geometry, measurement, and data analysis Embroidery patterns from Bulgaria can help younger students learn about patterns, and introduce older students to fractal geometry Klappenspiel, a popular classroom game in Germany, provides a fun application of probability analysis Each chapter has activities for specific grade bands (K–3, 4–8, and 9–12), and all activities are designed to encourage students to discover connections among math concepts, world cultures, and their own daily lives and communities.

Download or read book Making Mathematical Culture written by Richard J. Oosterhoff and published by Oxford University Press. This book was released on 2018-07-19 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1503, for the first time, a student in Paris was able to spend his entire university career studying only the printed textbooks of his teacher, thanks to the works of the humanist and university reformer Jacques Lefèvre d'Étaples (c. 1455-1536). As printed books became central to the intellectual habits of following generations, Lefèvre turned especially to mathematics as a way to renovate the medieval university. Making Mathematical Culture argues this was a pivatol moment in the cultural history of Europe and explores how the rise of the printed book contributed to the growing profile of mathematics in the region. Using student manuscripts and annotated books, Making Mathematical Culture offers a new account of printed textbooks, as jointly made by masters and students, and how such collaborative practices informed approaches to mathematics.

Download or read book Math Culture and Popular Media written by Michaele F. Chappell and published by Heinemann Educational Books. This book was released on 2009 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Realizing that middle-grades students bring to classrooms different experiences that shape their meaning about mathematics, both from inside and outside the classroom, it seems that embracing culture...is one important way to address a need in schools - that is, high achievement in mathematics by all students. - Michaele Chappell and Denisse Thompson If your students can text like this: cul8r bff, they can solve for this: 3x+5=39+2x In the middle grades personal identity becomes more important to learning than ever. More than a decade of research tells us that effective school mathematics has to be relevant to the lives and cultures of every student. Chappell and Thompson bring you a unique and user-friendly teacher resource that incorporates popular media from a variety of cultures in rich and engaging math investigations. A wide range of math concepts - from algebraic thinking to number and operation, geometry to probability - are embedded within dynamic activities. Engage your media-savvy students with investigations from popular films, games, literature, and the internet. Connect your students to stories from African American, Latino, Asian, and Native American cultures. Activities are ready to use or customizable for your classroom. CD-ROM includes: 90+ reproducible investigations with answer keys available as customizable Word documents Quick-reference matrix that cross references the activities by the five content strands of the Principles and Standards for School Mathematics from the National Council of Teachers of Mathematics and by the four cultural groups. You can bring middle school math to life for all your students. This resource, ready to supplement your existing curriculum, shows you how and why to do it

Download or read book The Chemostat written by Jérôme Harmand and published by John Wiley & Sons. This book was released on 2017-07-19 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Invented by J. Monod, and independently by A. Novick and L. Szilard, in 1950, the chemostat is both a micro-organism culturing device and an abstracted ecosystem managed by a controlled nutrient flow. This book studies mathematical models of single species growth as well as competition models of multiple species by integrating recent work in theoretical ecology and population dynamics. Through a modeling approach, the hypotheses and conclusions drawn from the main mathematical results are analyzed and interpreted from a critical perspective. A large emphasis is placed on numerical simulations of which prudent use is advocated. The Chemostat is aimed at readers possessing degree-level mathematical knowledge and includes a detailed appendix of differential equations relating to specific notions and results used throughout this book.

Download or read book The History of Mathematics written by Roger L. Cooke and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Download or read book Mathematical Representation at the Interface of Body and Culture written by Wolff-Michael Roth and published by IAP. This book was released on 2009-06-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades, the theoretical interests of mathematics educators have changed substantially—as any brief look at the titles and abstracts of articles shows. Largely through the work of Paul Cobb and his various collaborators, mathematics educators came to be attuned to the intricate relationship between individual and the social configuration of which she or he is part. That is, this body of work, running alongside more traditional constructivist and psychological approaches, showed that what happens at the collective level in a classroom both constrains and affords opportunities for what individuals do (their practices). Increasingly, researchers focused on the mediational role of sociomathematical norms and how these emerged from the enacted lessons. A second major shift in mathematical theorizing occurred during the past decade: there is an increasing focus on the embodied and bodily manifestation of mathematical knowing (e.g., Lakoff & Núñez, 2000). Mathematics educators now working from this perspective have come to their position from quite different bodies of literatures: for some, linguistic concerns and mathematics as material praxis lay at the origin for their concerns; others came to their position through the literature on the situated nature of cognition; and yet another line of thinking emerged from the work on embodiment that Humberto Maturana and Francisco Varela advanced. Whatever the historical origins of their thinking, mathematics educators taking an embodiment perspective presuppose that it is of little use to think of mathematical knowing in terms of transcendental concepts somehow recorded in the brain, but rather, that we need to conceptual knowing as mediated by the human body, which, because of its senses, is at the origin of sense. One of the question seldom asked is how the two perspectives, one that focuses on the bodily, embodied nature of mathematical cognition and the other that focuses on its social nature, can be thought together. This edited volume situates itself at the intersection of theoretical and focal concerns of both of these lines of work. In all chapters, the current culture both at the classroom and at the societal level comes to be expressed and provides opportunities for expressing oneself in particular ways; and these expressions always are bodily expressions of body-minds. As a collective, the chapters focus on mathematical knowledge as an aspect or attribute of mathematical performance; that is, mathematical knowing is in the doing rather than attributable to some mental substrate structured in particular ways as conceived by conceptual change theorists or traditional cognitive psychologists. The collection as a whole shows readers important aspects of mathematical cognition that are produced and observable at the interface between the body (both human and those of [inherently material] inscriptions) and culture. Drawing on cultural-historical activity theory, the editor develops an integrative perspective that serves as a background to a narrative that runs through and pulls together the book into an integrated whole.

Download or read book Language and Culture in Mathematical Cognition written by Daniel B. Berch and published by Academic Press. This book was released on 2018-07-27 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Language and Culture in Mathematical Cognition, First Edition focuses on the role of linguistic and cultural factors in math cognition and development. It covers a wide range of topics, including analogical mapping in numerical development, arithmetic fact retrieval in the bilingual brain, cross-cultural comparisons of mathematics achievement, the shaping of numerical processing by number word construction, the influence of Head Start programs, the mathematical skills of children with specific language impairments, the role of culture and language in creating associations between number and space, and electrophysiological studies of linguistic traces in core knowledge at the neural level. - Includes cutting-edge findings, innovative measures, recent methodological advances and groundbreaking theoretical developments - Synthesizes research from various subdomains of math cognition research - Covers the full complement of research in mathematical thinking and learning - Informs researchers, scholars, educators, students and policymakers

Download or read book Practice Oriented Research in Tertiary Mathematics Education written by Rolf Biehler and published by Springer Nature. This book was released on 2023-01-01 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents a broad range of original practice-oriented research studies about tertiary mathematics education. These are based on current theoretical frameworks and on established and innovative empirical research methods. It provides a relevant overview of current research, along with being a valuable resource for researchers in tertiary mathematics education, including novices in the field. Its practice orientation research makes it attractive to university mathematics teachers interested in getting access to current ideas and results, including theory-based and empirically evaluated teaching and learning innovations. The content of the book is spread over 5 sections: The secondary-tertiary transition; University students' mathematical practices and mathematical inquiry; Research on teaching and curriculum design; University students’ mathematical inquiry and Mathematics for non-specialists.

Download or read book Mathematics as a Cultural System written by Raymond Louis Wilder and published by Pergamon. This book was released on 1981 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as a Cultural System discusses the relationship between mathematics and culture. The book is comprised of eight chapters discussing topics that support the concept of mathematics as a cultural system. Chapter I deals with the nature of culture and cultural systems, while Chapter 2 provides examples of cultural patterns observable in the evolution of mechanics. Chapter III treats historical episodes as a laboratory for the illustration of patterns and forces that have been operative in cultural change. Chapter IV covers hereditary stress, and Chapter V discusses consolidation as a f ...