Making Mathematical Culture

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5 Principles of the Modern Mathematics Classroom

Author : Gerald Aungst
Publisher : Corwin Press
ISBN 13 : 1506322999
Total Pages : 141 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis 5 Principles of the Modern Mathematics Classroom by : Gerald Aungst

Download or read book 5 Principles of the Modern Mathematics Classroom written by Gerald Aungst and published by Corwin Press. This book was released on 2015-10-09 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students pursue problems they’re curious about, not problems they’re told to solve. Creating a math classroom filled with confident problem solvers starts by introducing challenges discovered in the real world, not by presenting a sequence of prescribed problems, says Gerald Aungst. In this groundbreaking book, he offers a thoughtful approach for instilling a culture of learning in your classroom through five powerful, yet straightforward principles: Conjecture, Collaboration, Communication, Chaos, and Celebration. Aungst shows you how to Embrace collaboration and purposeful chaos to help students engage in productive struggle, using non-routine and unsolved problems Put each chapter’s principles into practice through a variety of strategies, activities, and by incorporating technology tools Introduce substantive, lasting cultural changes in your classroom through a manageable, gradual shift in processes and behaviors Five Principles of the Modern Mathematics Classroom offers new ideas for inspiring math students by building a more engaging and collaborative learning environment. "Bravo! This book brings a conceptual framework for K-12 mathematics to life. As a parent and as the executive director of Edutopia, I commend Aungst for sharing his 5 principles. This is a perfect blend of inspiring and practical. Highly recommended!" Cindy Johanson, Executive Director, Edutopia George Lucas Educational Foundation "Aungst ignites the magic of mathematics by reminding us what makes mathematicians so passionate about their subject matter. Grounded in research, his work takes us on a journey into classrooms so that we may take away tips to put into practice today." Erin Klein, Teacher, Speaker, and Author of Redesigning Learning Spaces

Making Mathematical Culture

Author : Richard J. Oosterhoff
Publisher :
ISBN 13 : 9780191862151
Total Pages : pages
Book Rating : 4.8/5 (621 download)

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Book Synopsis Making Mathematical Culture by : Richard J. Oosterhoff

Download or read book Making Mathematical Culture written by Richard J. Oosterhoff and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Making Mathematical Culture

Author : Richard J. Oosterhoff
Publisher : Oxford University Press
ISBN 13 : 019255655X
Total Pages : 272 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Making Mathematical Culture by : Richard J. Oosterhoff

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 272 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.

Mathematics for Human Flourishing

Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

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Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

The Culture of the Mathematics Classroom

Author : Falk Seeger
Publisher : Cambridge University Press
ISBN 13 : 9780521571074
Total Pages : 276 pages
Book Rating : 4.5/5 (71 download)

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Book Synopsis The Culture of the Mathematics Classroom by : Falk Seeger

Download or read book The Culture of the Mathematics Classroom written by Falk Seeger and published by Cambridge University Press. This book was released on 1998-08-13 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The culture of the mathematics classroom is becoming an increasingly salient topic of discussion in mathematics education. Studying and changing what happens in the classroom allows researchers and educators to recognize the social character of mathematical pedagogy and the relationship between the classroom and culture at large. This volume is divided into three sections, reporting findings gained in both research and practice. The first part presents several attempts to change classroom culture by focusing on the education of mathematics teachers and on teacher-researcher collaboration. The second section shifts to the interactive processes of the mathematics classroom and to the communal nature of learning. The third section discusses the means of constructing, filtering, and establishing mathematical knowledge that are characteristic of classroom culture. This internationally relevant volume will be of particular interest to educators and educational researchers.

Culturally Responsive Teaching

Author : Geneva Gay
Publisher : Teachers College Press
ISBN 13 : 0807750786
Total Pages : 321 pages
Book Rating : 4.8/5 (77 download)

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Book Synopsis Culturally Responsive Teaching by : Geneva Gay

Download or read book Culturally Responsive Teaching written by Geneva Gay and published by Teachers College Press. This book was released on 2010 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: The achievement of students of color continues to be disproportionately low at all levels of education. More than ever, Geneva Gay's foundational book on culturally responsive teaching is essential reading in addressing the needs of today's diverse student population. Combining insights from multicultural education theory and research with real-life classroom stories, Gay demonstrates that all students will perform better on multiple measures of achievement when teaching is filtered through their own cultural experiences. This bestselling text has been extensively revised to include expanded coverage of student ethnic groups: African and Latino Americans as well as Asian and Native Americans as well as new material on culturally diverse communication, addressing common myths about language diversity and the effects of "English Plus" instruction.

Inventing the Mathematician

Author : Sara N. Hottinger
Publisher : State University of New York Press
ISBN 13 : 1438460112
Total Pages : 217 pages
Book Rating : 4.4/5 (384 download)

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Book Synopsis Inventing the Mathematician by : Sara N. Hottinger

Download or read book Inventing the Mathematician written by Sara N. Hottinger and published by State University of New York Press. This book was released on 2016-03-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considers how our ideas about mathematics shape our individual and cultural relationship to the field. Where and how do we, as a culture, get our ideas about mathematics and about who can engage with mathematical knowledge? Sara N. Hottinger uses a cultural studies approach to address how our ideas about mathematics shape our individual and cultural relationship to the field. She considers four locations in which representations of mathematics contribute to our cultural understanding of mathematics: mathematics textbooks, the history of mathematics, portraits of mathematicians, and the field of ethnomathematics. Hottinger examines how these discourses shape mathematical subjectivity by limiting the way some groups—including women and people of color—are able to see themselves as practitioners of math. Inventing the Mathematician provides a blueprint for how to engage in a deconstructive project, revealing the limited and problematic nature of the normative construction of mathematical subjectivity. Sara N. Hottinger is Professor of Women’s and Gender Studies at Keene State College.

Making Thinking Visible

Author : Ron Ritchhart
Publisher : John Wiley & Sons
ISBN 13 : 1118015010
Total Pages : 320 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Making Thinking Visible by : Ron Ritchhart

Download or read book Making Thinking Visible written by Ron Ritchhart and published by John Wiley & Sons. This book was released on 2011-03-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: A proven program for enhancing students' thinking and comprehension abilities Visible Thinking is a research-based approach to teaching thinking, begun at Harvard's Project Zero, that develops students' thinking dispositions, while at the same time deepening their understanding of the topics they study. Rather than a set of fixed lessons, Visible Thinking is a varied collection of practices, including thinking routines?small sets of questions or a short sequence of steps?as well as the documentation of student thinking. Using this process thinking becomes visible as the students' different viewpoints are expressed, documented, discussed and reflected upon. Helps direct student thinking and structure classroom discussion Can be applied with students at all grade levels and in all content areas Includes easy-to-implement classroom strategies The book also comes with a DVD of video clips featuring Visible Thinking in practice in different classrooms.

Windows on Mathematical Meanings

Author : Richard Noss
Publisher : Springer Science & Business Media
ISBN 13 : 9400916965
Total Pages : 288 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Windows on Mathematical Meanings by : Richard Noss

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.

Mathematical Enculturation

Author : Alan Bishop
Publisher : Springer Science & Business Media
ISBN 13 : 940092657X
Total Pages : 210 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Mathematical Enculturation by : Alan Bishop

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.

Building a Math-Positive Culture

Author : Cathy L. Seeley
Publisher : ASCD
ISBN 13 : 1416622497
Total Pages : 66 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Building a Math-Positive Culture by : Cathy L. Seeley

Download or read book Building a Math-Positive Culture written by Cathy L. Seeley and published by ASCD. This book was released on 2016-04-05 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cathy L. Seeley, former president of the National Council of Teachers of Mathematics, turns the spotlight on administrative leaders who are seeking to improve their math programs, offering an overview of what an effective program looks like and examples of actions to take to achieve that goal. Building a Math-Positive Culture addresses the following topics: * The three components necessary for a successful math program. * How to recognize, support, and evaluate effective teachers. * Steps to take to move from grand ideas to concrete results. * How to approach obstacles to achieving your goal. Along with the companion book for teachers Making Sense of Math, this book is an essential tool for leaders facing the critical task of revising their math program to develop flexible mathematical thinkers able to meet the demands of the 21st century.

Making and Breaking Mathematical Sense

Author : Roi Wagner
Publisher : Princeton University Press
ISBN 13 : 0691171718
Total Pages : 250 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Making and Breaking Mathematical Sense by : Roi Wagner

Download or read book Making and Breaking Mathematical Sense written by Roi Wagner and published by Princeton University Press. This book was released on 2017-01-10 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics in Western Culture

Author : Morris Kline
Publisher : Oxford University Press
ISBN 13 : 0195345452
Total Pages : 513 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis Mathematics in Western Culture by : Morris Kline

Download or read book Mathematics in Western Culture written by Morris Kline and published by Oxford University Press. This book was released on 1964-12-31 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.

Culture and Cognitive Development

Author : Geoffrey B. Saxe
Publisher : Psychology Press
ISBN 13 : 1317728084
Total Pages : 259 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis Culture and Cognitive Development by : Geoffrey B. Saxe

Download or read book Culture and Cognitive Development written by Geoffrey B. Saxe and published by Psychology Press. This book was released on 2015-01-28 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Researchers examining children's mathematics acquisition are now questioning the belief that children learn mathematics principally through formalized, in-school mathematics education. There is increasing evidence that children gain mathematical understanding through their participation in out-of-school cultural practices and that their mathematics only occasionally resembles what they learn in the classroom. Culture and Cognitive Development presents the latest research by Dr. Geoffrey Saxe on this issue. In examinations of the mathematical understandings of child candy sellers in an urban center in northeastern Brazil, Dr. Saxe finds sharp contrasts between mathematics as practiced in school and in real-world settings. In this unique research project he presents a penetrating conceptual treatment of the interplay between culture and cognitive development, filling a void in current research literature. Subjects examined include: the interplay between sociocultural and cognitive developmental processes the differences between math knowledge learned in and out of the classroom the ways math learning in the classroom is modified by children's out-of-school mathematics and, correspondingly, how practical out-of-school mathematics use is modified by formal education

Mathematical Cultures

Author : Brendan Larvor
Publisher : Birkhäuser
ISBN 13 : 3319285823
Total Pages : 460 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Mathematical Cultures by : Brendan Larvor

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 460 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.

Current and Future Perspectives of Ethnomathematics as a Program

Author : Milton Rosa
Publisher : Springer
ISBN 13 : 3319301209
Total Pages : 45 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Current and Future Perspectives of Ethnomathematics as a Program by : Milton Rosa

Download or read book Current and Future Perspectives of Ethnomathematics as a Program written by Milton Rosa and published by Springer. This book was released on 2016-04-05 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey on the modernity of ethnomathematics addresses numerous themes related to both ethnomathematics and mathematics education. It offers a broader view of mathematics, including ideas, procedures, concepts, processes, methods, and practices rooted in distinct cultural environments. In addition, by reflecting on the social and political dimensions of ethnomathematics, another important aspect of this research program is the development of innovative approaches for a dynamic and glocalized society. Ethnomathematics recognizes that members of different cultures develop unique mathematical techniques, methods, and explanations that allow for an alternative understanding and transformation of societal norms. The theoretical basis of ethnomathematics offers a valid alternative to traditional studies of history, philosophy, cognition, and pedagogical aspects of mathematics. The current agenda for ethnomathematics is to continue an ongoing, progressive trajectory that contributes to the achievement of social justice, peace, and dignity for all. The debates outlined in this book share a few of the key ideas that provide for a clearer understanding of the field of ethnomathematics and its current state of the art by discussing its pedagogical actions, its contributions for teacher education, and its role in mathematics education.

Essentials of Mathematics

Author : Margie Hale
Publisher : MAA
ISBN 13 : 0883857294
Total Pages : 199 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Essentials of Mathematics by : Margie Hale

Download or read book Essentials of Mathematics written by Margie Hale and published by MAA. This book was released on 2003-12-24 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook and self-study guide for students beginning to study mathematics requiring proof.