Making Mathematical Culture

Making Mathematical Culture PDF
Author: Richard J. Oosterhoff
Publisher: Oxford University Press
ISBN: 019255655X
Size: 62.34 MB
Format: PDF, ePub, Docs
Category : History
Languages : en
Pages : 272
View: 1103

Get Book

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

Making Mathematical Culture PDF
Author: Richard J. Oosterhoff
Publisher:
ISBN: 9780191862151
Size: 24.22 MB
Format: PDF, ePub, Docs
Category : MATHEMATICS
Languages : en
Pages :
View: 3227

Get Book

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

Mathematical Cultures PDF
Author: Brendan Larvor
Publisher: Birkhäuser
ISBN: 3319285823
Size: 58.48 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 460
View: 7610

Get Book

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 Representation At The Interface Of Body And Culture

Mathematical Representation at the Interface of Body and Culture PDF
Author: Wolff-Michael Roth
Publisher: IAP
ISBN: 1607521911
Size: 50.36 MB
Format: PDF, Mobi
Category : Education
Languages : en
Pages : 369
View: 4411

Get Book

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.

Children S Mathematics

Children s Mathematics PDF
Author: Elizabeth Carruthers
Publisher: SAGE
ISBN: 1847878814
Size: 20.24 MB
Format: PDF, ePub, Docs
Category : Education
Languages : en
Pages : 280
View: 192

Get Book

Visit the author's own website here! Children's Mathematics Network 'In Case Study 5 (a grassroots 'Children's Mathematics Network group') the initiative supported the participants in their professional change by giving them a space for the detailed and joint consideration of children's mathematical thinking. Another significant feature of this initiative is its focus on careful consideration and analysis of children's mathematics, and the ways in which professionals can support and encourage the children's mathematical thinking and reasoning... The standard of the mathematical understanding, thinking and reasoning that the displays revealed was far higher than the specified curriculum objectives for children of this age...' - Researching Effective CPD in Mathematics Education (RECME) project: (NCETM, 2009) 'The review also plays great score by play-based learning of a mathematical nature, and makes specific recommendations regarding early mark-making as a precursor to abstract mathematical symbolism'. Section 115 features children's mathematical graphics and emphasises: 'The role of mark-making in children's cognitive development is set out in the taxonomy (Carruthers and Worthington, 2006)'. The report recommends that 'local authorities, leaders, managers and head teachers should provide a culture with a significant focus on mathematical mark-making' and 'a learning environment that encourages children to choose to use their own mathematical graphics to support their mathematical thinking and processes' - The Williams Maths Review: (DCSF, 2008) `At the very heart of the success of the book is the authors' ability to see mathematics through young children's eyes by listening to and reflecting on the constant efforts made by children to make sense of their world. This is a liberating book which proposes that the teaching of mathematics could and should be a highly creative and enjoyable proceess' - Branwen Llewelyn Jones, Early Years Consultant at PACE Ltd / TACTYC 'Ground breaking... To single out any one chapter would be unfair because there is something thought-provoking and inspirational throughout. If you want to expand your understanding upwards and outwards then get a copy soon' - Times Educational Supplement 'I first read Children's Mathematics, Making Marks, Making Meaning a couple of years ago and it had an immediate impact on my own thinking and teaching, and the work I do with trainee teachers. I'm sure you will find it compelling reading too. I think it has the potential to change, in a fundamental way, how we think about early mathematical development' - Lynne McClure, Editor, Math Co-ordiator's File, Mathematics Association 'In their exceptionally readable and informative book, Children's Mathematics, Making Marks, Making Meaning Carruthers and Worthington (2006) draw attention to one of the main goals of early years teaching, that is, to help children make links between the mathematics they have already encountered (and continue to engage with) at home and the more abstract mathematics of the school. These authors suggest that by encouraging children to represent mathematical ideas in their own ways and, crucially, by talking to the pupils about the marks they have made, we are given a "window" onto their thinking that may otherwise be inaccessible' - Liz Pumphrey, NRICH This book draws on the authors' many years of teaching children aged three to eight years and also on their extensive research with children in the home, nursery and school. The authors explain the development and range of young children's mathematical marks and visual representations, showing how children make mental connections between their own early marks and subsequent abstract mathematical symbolism, and go on to develop their own written methods. Combining theory and practice, this acclaimed book demonstrates how children's own mathematical graphics are highly creative and show deep levels of thinking. The authors show how this is the key to success in school mathematics and to higher levels of achievement. The authors are winners of TACTYC's (2003) Jenefer Joseph Award for the Creative Arts (3 - 8) - awarded for their innovative work with children on mathematical graphics.

Ethnomathematics

Ethnomathematics PDF
Author: Arthur B. Powell
Publisher: SUNY Press
ISBN: 9780791433515
Size: 71.92 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 440
View: 5739

Get Book

Presents the emerging field of ethnomathematics from a critical perspective, challenging particular ways in which Eurocentrism permeates mathematics education and mathematics in general.

Oral Storytelling And Teaching Mathematics

Oral Storytelling and Teaching Mathematics PDF
Author: Michael Schiro
Publisher: SAGE
ISBN: 9780761930105
Size: 31.33 MB
Format: PDF, Docs
Category : Education
Languages : en
Pages : 268
View: 6813

Get Book

"The accompanying CD-ROM contains the full text of two epic stories plus additional worksheets, handouts, and art."--Page 4 of cover.

Children S Mathematics

Children s Mathematics PDF
Author: Maulfry Worthington
Publisher: SAGE
ISBN: 9780761940708
Size: 60.97 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 242
View: 3512

Get Book

Drawing on their many years' experience of teaching children 3 to 8 years, the authors explain the development and range of young children's mathematical marks and representations.

Making And Breaking Mathematical Sense

Making and Breaking Mathematical Sense PDF
Author: Roi Wagner
Publisher: Princeton University Press
ISBN: 0691171718
Size: 62.51 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 256
View: 3635

Get Book

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.

A Cultural History Of Reforming Math For All

A Cultural History of Reforming Math for All PDF
Author: Jennifer D. Diaz
Publisher: Routledge
ISBN: 1317269187
Size: 13.29 MB
Format: PDF, Docs
Category : Education
Languages : en
Pages : 134
View: 132

Get Book

While many accept that math is a universal, culturally indifferent subject in school, this book demonstrates that this is anything but true. Building off of a historically conscious understanding of school reform, Diaz makes the case that the language of mathematics, and the symbols through which it is communicated, is not merely about the alleged cultural indifference of mathematical thinking; rather, mathematical teaching relates to historical, cultural, political, and social understandings of equality that order who the child is and should be. Focusing on elementary math for all education reforms in America since the mid-twentieth century, Diaz offers an alternative way of thinking about the subject that recognizes the historical making of contemporary notions of inequality and difference.

Second Handbook Of Research On Mathematics Teaching And Learning

Second Handbook of Research on Mathematics Teaching and Learning PDF
Author: Frank K. Lester
Publisher: IAP
ISBN: 160752709X
Size: 38.97 MB
Format: PDF, Mobi
Category : Education
Languages : en
Pages : 725
View: 4073

Get Book

The audience remains much the same as for the 1992 Handbook, namely, mathematics education researchers and other scholars conducting work in mathematics education. This group includes college and university faculty, graduate students, investigators in research and development centers, and staff members at federal, state, and local agencies that conduct and use research within the discipline of mathematics. The intent of the authors of this volume is to provide useful perspectives as well as pertinent information for conducting investigations that are informed by previous work. The Handbook should also be a useful textbook for graduate research seminars. In addition to the audience mentioned above, the present Handbook contains chapters that should be relevant to four other groups: teacher educators, curriculum developers, state and national policy makers, and test developers and others involved with assessment. Taken as a whole, the chapters reflects the mathematics education research community's willingness to accept the challenge of helping the public understand what mathematics education research is all about and what the relevance of their research fi ndings might be for those outside their immediate community.

Mathematical Modelling Education And Sense Making

Mathematical Modelling Education and Sense making PDF
Author: Gloria Ann Stillman
Publisher: Springer Nature
ISBN: 3030376737
Size: 41.73 MB
Format: PDF, Kindle
Category : Education
Languages : en
Pages : 521
View: 7257

Get Book

This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Making A Difference In Theory

Making a Difference in Theory PDF
Author: Gert Biesta
Publisher: Routledge
ISBN: 1135131694
Size: 28.10 MB
Format: PDF
Category : Education
Languages : en
Pages : 232
View: 2952

Get Book

Making a Difference in Theory brings together original work from an international group of authors on the roles of theory in educational research and practice. The book discusses the different roles theory plays, can play and should play, both from a historical perspective and in light of contemporary discussions and developments. Particular attention is paid to the question of whether there are or should be distinctively educational forms of theory and theorising. The double engagement with the theory question in education and the education question in theory and theorising provides original insights in what theory does, might do or should do in educational research and practice. With contributions from internationally renowned authors in the field of educational theory, research and practice, the book will be of value to academics, researchers and postgraduate students in education.

Handbook Of Motivation At School

Handbook of Motivation at School PDF
Author: Kathryn Wentzel
Publisher: Routledge
ISBN: 1135592926
Size: 24.43 MB
Format: PDF, Mobi
Category : Education
Languages : en
Pages : 704
View: 2606

Get Book

The Handbook of Motivation at School presents the first comprehensive and integrated compilation of theory and research on children’s motivation at school. It covers the major theoretical perspectives in the field as well as their application to instruction, learning, and social adjustment at school. Key Features: Comprehensive – no other book provides such a comprehensive overview of theory and research on children’s motivation at school. Theoretical & Applied – the book provides a review of current motivation theories by the developers of those theories as well as attention to the application of motivation theory and research in classrooms and schools. Chapter Structure – chapters within each section follow a similar structure so that there is uniformity across chapters. Commentaries – each section ends with a commentary that provides clear directions for future research.

Making Sense Of Science

Making Sense of Science PDF
Author: Steven Yearley
Publisher: SAGE
ISBN: 1412933897
Size: 58.52 MB
Format: PDF
Category : Social Science
Languages : en
Pages : 224
View: 6981

Get Book

`Fluid, readable and accessible ... I found the overall quality of the book to be excellent. It provides an overview of major (and preceding) developments in the field of science studies. It examines landmark works, authors, concepts and approaches ... I will certainly use this book as one of the course texts' Eileen Crist, Associate Professor, Science & Technology in Society, Virginia Tech Science is at the heart of contemporary society and is therefore central to the social sciences. Yet science studies has often encountered resistance from social scientists. This book attempts to remedy this by giving the most extensive, thorough and best argued account of the field and explaining to social scientists why science matters to them. This is a landmark book that demystifies science studies and successfully bridges the divide between social theory and the sociology of science. Illustrated with relevant, illuminating examples, it provides the ideal guide to science studies and social theory.