Making Mathematical Culture
DOWNLOAD
Download Making Mathematical Culture PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Making Mathematical Culture book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Making Mathematical Culture
DOWNLOAD
Author : Richard J. Oosterhoff
language : en
Publisher: Oxford University Press
Release Date : 2018-07-25
Making Mathematical Culture written by Richard J. Oosterhoff and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-25 with History categories.
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.
Making Mathematical Culture
DOWNLOAD
Author : Richard J. Oosterhoff
language : en
Publisher:
Release Date :
Making Mathematical Culture written by Richard J. Oosterhoff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with MATHEMATICS categories.
Making Mathematical Culture analyses the rise of the printed book and how it contributed to the growing profile of mathematics in Europe. Using student manuscripts and annotated books, this volume offers a new account of how printing shaped one of the fastest-growing institutions of the early modern period, the university.
Mathematical Cultures
DOWNLOAD
Author : Brendan Larvor
language : en
Publisher: Birkhäuser
Release Date : 2016-05-25
Mathematical Cultures written by Brendan Larvor and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-25 with Mathematics categories.
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.
Mathematical Enculturation
DOWNLOAD
Author : Alan Bishop
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Enculturation written by Alan Bishop 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 2012-12-06 with Education categories.
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.
The Emergence Of Mathematical Meaning
DOWNLOAD
Author : Paul Cobb
language : en
Publisher: Routledge
Release Date : 2012-12-06
The Emergence Of Mathematical Meaning written by Paul Cobb and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Education categories.
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.
Making And Breaking Mathematical Sense
DOWNLOAD
Author : Roi Wagner
language : en
Publisher: Princeton University Press
Release Date : 2017-01-10
Making And Breaking Mathematical Sense written by Roi Wagner and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-10 with Mathematics categories.
In line with the emerging field of philosophy of mathematical practice, this book pushes the philosophy of mathematics away from questions about the reality and truth of mathematical entities and statements and toward a focus on what mathematicians actually do—and how that evolves and changes over time. How do new mathematical entities come to be? What internal, natural, cognitive, and social constraints shape mathematical cultures? How do mathematical signs form and reform their meanings? How can we model the cognitive processes at play in mathematical evolution? And how does mathematics tie together ideas, reality, and applications? Roi Wagner uniquely combines philosophical, historical, and cognitive studies to paint a fully rounded image of mathematics not as an absolute ideal but as a human endeavor that takes shape in specific social and institutional contexts. The book builds on ancient, medieval, and modern case studies to confront philosophical reconstructions and cutting-edge cognitive theories. It focuses on the contingent semiotic and interpretive dimensions of mathematical practice, rather than on mathematics' claim to universal or fundamental truths, in order to explore not only what mathematics is, but also what it could be. Along the way, Wagner challenges conventional views that mathematical signs represent fixed, ideal entities; that mathematical cognition is a rigid transfer of inferences between formal domains; and that mathematics’ exceptional consensus is due to the subject’s underlying reality. The result is a revisionist account of mathematical philosophy that will interest mathematicians, philosophers, and historians of science alike.
Oral Storytelling And Teaching Mathematics
DOWNLOAD
Author : Michael Schiro
language : en
Publisher: SAGE
Release Date : 2004-03-19
Oral Storytelling And Teaching Mathematics written by Michael Schiro and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-19 with Education categories.
Click ′Additional Materials′ for downloadable sample"This book presents two stories created by Michael Schiro and told by Doris Lawson in her mathematics classroom. The authors lay a foundation for weaving together mathematics and an epic story. The purpose of telling an epic story, one that takes several days to finish, is to "guide students through several stages of learning in order to help them develop mathematical skills." The story not only presents mathematical skills that students need to learn but also situates the mathematics in a context that is interesting, engaging, and relevant. Part 1, "The Wizard′s Tale," discusses teaching addition and multidigit number. The full story, with commentary, is presented. This story is intended primarily for second-third-, and fourth-grade students. Part 2, "The Egypt Story," connects problem solving and the social studies curriculum by exploring ancient Egypt. This story has been used with sixth graders. An accompanying CD contains the complete text of each story and the worksheets used during the lesson. Various other materials needed are also described. If it is true that every teacher is an actor or actress at heart, the challenge to develop one′s oral story-telling skills is intriguing. Equally important, however, is the rich discussion about such issues as the structural relationship among teachers, students, and mathematics; the pedagogical issues in teaching and learning mathematics; mathematics and culture; multicultural mathematics instruction; and ideology. I would definitely recommend this book to all those who teach mathematics."-- Jean Morrow, Emporia State University, MATHEMATICS TEACHING IN THE MIDDLE SCHOOL"This book makes significant contributions to the field of mathematics education in many areas. Its use of oral storytelling as a means of teaching algorithms and problem solving, its presentation of a collaborative teaching model that can be generalized to all mathematics teaching, its presentation of a new perspective on problem solving, enhancing the currently popular approach, and its insights into multicultural mathematics all provide a wealth of knowledge for pre-service and in-service classroom teachers as well as mathematics education instructors."--Dr. Rainy M. Cotti, Rhode Island College "It is very well written. It avoids math education jargon, but at the same time discusses deep issues in the subject. References to the literature are useful and well chosen . . . . The book flows very well. very well. I liked the way of starting with stories and the stories of the classroom lessons. This gives a good foundation for the more theoretical discussions later in the book."--Susan Addington, California State University, San Bernardino Epic oral storytelling is an exciting new instructional method that complements existing ways of teaching. Oral Storytelling and Teaching Mathematics: Pedagogical and Multicultural Perspectives provides the first serious exploration of the role that oral storytelling can play in helping children learn mathematics. Oral Storytelling and Teaching Mathematics contains two case studies of teachers telling epic oral stories to teach math to elementary and middle school students. The book also includes theoretical discussions of essential elements of oral storytelling, multicultural education, how oral storytelling can help children who have difficulty learning mathematics, and mathematical problem solving. This book significantly extends two pedagogical movements that have recently influenced mathematics teaching: the use of physical manipulatives and visual imagery and the use of children′s literature. It takes a giant leap in leaving behind the written word for oral language and integrating serious mathematical explorations with fantasy. Author Michael Stephen Schiro presents the teaching of mathematics--often a high-anxiety subject--in a non-threatening, innovative fashion via the use of epic storytelling. It is written in a conversational tone, and includes numerous sample illustrations. The book′s presentation of stories, how a teacher actually used them in class (along with students′ responses), and a discussion of the educational value of such strategies make this a comprehensive work that recognizes teachers′ capabilities and concerns about employing the best available educational practices. The accompanying CD-ROM contains the full text of two epic stories plus additional worksheets, handouts, and artwork. This book will be of immediate interest to both pre-service and in-service teachers, and all educators devoted to providing children powerful mathematical and literary experiences.
Making Sense Of Math
DOWNLOAD
Author : Cathy L. Seeley
language : en
Publisher: ASCD
Release Date : 2016-04-05
Making Sense Of Math written by Cathy L. Seeley and has been published by ASCD this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-05 with Education categories.
In Making Sense of Math, Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, shares her insight into how to turn your students into flexible mathematical thinkers and problem solvers. This practical volume concentrates on the following areas: * Making sense of math by fostering habits of mind that help students analyze, understand, and adapt to problems when they encounter them. * Addressing the mathematical building blocks necessary to include in effective math instruction. * Turning teaching “upside down” by shifting how we teach, focusing on discussion and analysis as much as we focus on correct answers. * Garnering support for the changes you want to make from colleagues and administrators. Learn how to make math meaningful for your students and prepare them for a lifetime of mathematical fluency and problem solving.
Numeracy In Authentic Contexts
DOWNLOAD
Author : Maura Sellars
language : en
Publisher: Springer
Release Date : 2017-10-25
Numeracy In Authentic Contexts written by Maura Sellars and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-25 with Education categories.
This book is based on the notion that there are many ways in which mathematics learning can be achieved for students and that not all of them are focused on the mathematics classroom. It explores the foundational numeracy principles of the non-mathematical subject areas and aligns these to the Australian numeracy-learning continuum. It demonstrates, in detail, the extent to which numeracy competencies underpin successful learning in all the subject areas of the curricula. It validates a focus of developing numeracy competencies through learning in the arts, science and other discipline areas with which school students to engage with in order develop holistically, but which are not subjected to national assessment practices. It is developed around the notion of ‘praxis’, putting theory into practice in order to respond to the urgent need for students to be supported in their efforts to increase their numeracy capabilities in a world where extensive amounts of new information are often presented in graphical or data based formats. Additionally, it offers perspectives on developing all students’ capacities to become numerate in school contexts and presents inclusive, differentiated lesson examples as an alternative way of exploring numeracy in the context of teaching and learning in real-world classroom contexts.
Mathematical Representation At The Interface Of Body And Culture
DOWNLOAD
Author : Wolff-Michael Roth
language : en
Publisher: IAP
Release Date : 2009-06-01
Mathematical Representation At The Interface Of Body And Culture written by Wolff-Michael Roth and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-01 with Education categories.
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.