A Richer Picture Of Mathematics

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A Richer Picture of Mathematics

David E. Rowe

Author : David E. Rowe
Publisher : Springer
Page : 461 pages
File Size : 48,7 Mb
Release : 2018-02-13
Category : Mathematics
ISBN : 9783319678191

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A Richer Picture of Mathematics by David E. Rowe Pdf

Historian David E. Rowe captures the rich tapestry of mathematical creativity in this collection of essays from the “Years Ago” column of The Mathematical Intelligencer. With topics ranging from ancient Greek mathematics to modern relativistic cosmology, this collection conveys the impetus and spirit of Rowe’s various and many-faceted contributions to the history of mathematics. Centered on the Göttingen mathematical tradition, these stories illuminate important facets of mathematical activity often overlooked in other accounts. Six sections place the essays in chronological and thematic order, beginning with new introductions that contextualize each section. The essays that follow recount episodes relating to the section’s overall theme. All of the essays in this collection, with the exception of two, appeared over the course of more than 30 years in The Mathematical Intelligencer. Based largely on archival and primary sources, these vignettes offer unusual insights into behind-the-scenes events. Taken together, they aim to show how Göttingen managed to attract an extraordinary array of talented individuals, several of whom contributed to the development of a new mathematical culture during the first decades of the twentieth century.

Rich Pictures

Simon Bell,Tessa Berg,Stephen Morse

Author : Simon Bell,Tessa Berg,Stephen Morse
Publisher : Routledge
Page : 258 pages
File Size : 41,5 Mb
Release : 2016-03-17
Category : Political Science
ISBN : 9781317482727

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Rich Pictures by Simon Bell,Tessa Berg,Stephen Morse Pdf

Rich Pictures focuses on the value of developing visual narratives – Rich Pictures – as an important component and starting point for community participation. A key device for the community to share ideas and perspectives on current and potential future situations, Rich Pictures provide a shared space for members to set out ideas and negotiate. While Rich Pictures are widely and globally used, this is the first book discussing their use, and how and when to use this technique for maximum participatory value. A valuable read for community engagement professionals, planners, politicians, and members of affected communities, Rich Pictures is richly illustrated with examples and authors’ testimonials.

Classroom-Ready Rich Math Tasks, Grades 4-5

Beth McCord Kobett,Francis (Skip) Fennell,Karen S. Karp,Delise Andrews,Sorsha-Maria T. Mulroe

Author : Beth McCord Kobett,Francis (Skip) Fennell,Karen S. Karp,Delise Andrews,Sorsha-Maria T. Mulroe
Publisher : Corwin Press
Page : 348 pages
File Size : 47,9 Mb
Release : 2021-04-14
Category : Education
ISBN : 9781071841068

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Classroom-Ready Rich Math Tasks, Grades 4-5 by Beth McCord Kobett,Francis (Skip) Fennell,Karen S. Karp,Delise Andrews,Sorsha-Maria T. Mulroe Pdf

Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don’t have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades 4-5 details more than 50 research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students’ strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible.

Mathematicians as Enquirers

Leone L. Burton

Author : Leone L. Burton
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 55,6 Mb
Release : 2004-04-30
Category : Education
ISBN : 9781402079085

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Mathematicians as Enquirers by Leone L. Burton Pdf

It is amazing that the usual reply to being introduced to a mathematician is a stumbling apology about how bad someone is at mathematics, no matter how good they may be in reality. The problem is that we have come to view mathematics as an arcane branch of knowledge that only a few can aspire to understand or grasp. The sense of separation between those who have the knowledge and those who do not, is present even amongst academics where many of the same skills and research practices exist - intuition, the use of symbolic structures and the use of intuition and insight. The more worrying aspect of this separation is the ever declining numbers of students choosing mathematics as part of their curriculum beyond the stage when it is mandatory. Even worse, it would seem that the mathematics community has created a discriminatory environment that deters many students from continuing beyond secondary and tertiary education. Exit interviews with graduates show a stark rejection of their previously chosen subject. What about mathematicians themselves - how do they see themselves? Do male and female mathematicians come to know their mathematics in different ways, do they tackle different problems with varying results for their status in the research community? Does the pervasive labelling that mathematics is a male domain arise because of a lack of role models for women or through its highly competitive, hierarchical nature? Are the negative labels often associated with mathematics, i. e.

Making and Breaking Mathematical Sense

Roi Wagner

Author : Roi Wagner
Publisher : Princeton University Press
Page : 256 pages
File Size : 46,9 Mb
Release : 2017-01-10
Category : Mathematics
ISBN : 9781400883783

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Making and Breaking Mathematical Sense by Roi Wagner Pdf

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.

Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses

Martina Becvarova

Author : Martina Becvarova
Publisher : World Scientific
Page : 623 pages
File Size : 45,5 Mb
Release : 2021-05-14
Category : Mathematics
ISBN : 9781786349323

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Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses by Martina Becvarova Pdf

The Development of Mathematics Between the World Wars traces the transformation of scientific life within mathematical communities during the interwar period in Central and Eastern Europe, specifically in Germany, Russia, Poland, Hungary, and Czechoslovakia. Throughout the book, in-depth mathematical analyses and examples are included for the benefit of the reader.World War I heavily affected academic life. In European countries, many talented researchers and students were killed in action and scientific activities were halted to resume only in the postwar years. However, this inhibition turned out to be a catalyst for the birth of a new generation of mathematicians, for the emergence of new ideas and theories and for the surprising creation of new and outstanding scientific schools.The final four chapters are not restricted to Central and Eastern Europe and deal with the development of mathematics between World War I and World War II. After describing the general state of mathematics at the end of the 19th century and the first third of the 20th century, three case studies dealing with selected mathematical disciplines are presented (set theory, potential theory, combinatorics), in a way accessible to a broad audience of mathematicians as well as historians of mathematics.

Proceedings of the Ninth International Congress on Mathematical Education

Hiroshi Fujita,Yoshihiko Hashimoto,Bernard R. Hodgson,Peng Yee Lee,Steve Lerman,Toshio Sawada

Author : Hiroshi Fujita,Yoshihiko Hashimoto,Bernard R. Hodgson,Peng Yee Lee,Steve Lerman,Toshio Sawada
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 49,7 Mb
Release : 2007-05-08
Category : Mathematics
ISBN : 9781402079108

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Proceedings of the Ninth International Congress on Mathematical Education by Hiroshi Fujita,Yoshihiko Hashimoto,Bernard R. Hodgson,Peng Yee Lee,Steve Lerman,Toshio Sawada Pdf

Mathematics as a discipline has a long history, emerging from many cultures, with a truly universal character. Mathematicians throughout the world have a fundamentally common understanding of the nature of mathematics and of its central problems and methods. Research mathematicians in any part of the world are part of a cohesive intellectual community that communicates fluently. Among organizations devoted to mathematics education, The International Commission on Mathematical Instruction (ICMI) is distinctive because of its close ties to the mathematics community. The great challenges now facing mathematics education around the world demand a deeper and more sensitive involvement of disciplinary mathematicians than we now have, both in the work of educational improvements and in research on the nature of teaching and learning.

Mathematics Going Forward

Jean-Michel Morel,Bernard Teissier

Author : Jean-Michel Morel,Bernard Teissier
Publisher : Springer Nature
Page : 629 pages
File Size : 47,6 Mb
Release : 2023-06-14
Category : Mathematics
ISBN : 9783031122446

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Mathematics Going Forward by Jean-Michel Morel,Bernard Teissier Pdf

This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

Hilbert, Göttingen and the Development of Modern Mathematics

Joan Roselló

Hilbert G ttingen and the Development of Modern Mathematics Book PDF

Author : Joan Roselló
Publisher : Cambridge Scholars Publishing
Page : 295 pages
File Size : 40,7 Mb
Release : 2019-02-01
Category : Mathematics
ISBN : 9781527527621

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Hilbert, Göttingen and the Development of Modern Mathematics by Joan Roselló Pdf

David Hilbert is one of the outstanding mathematicians of the twentieth century and probably the most influential. This book highlights Hilbert’s contributions to mathematics, putting them in their historical, social and cultural context. In doing so, particular attention is paid to Hilbert’s axiomatic method and his proposal for the foundations of mathematics, the so-called Hilbert’s program. The book also discusses the development of algebraic number theory, the theory of integral equations, modern algebra and the structural image of mathematics. In addition, it considers the famous list of Mathematical Problems presented in Paris in 1900, the mathematical tradition of the University of Göttingen, the great debate on the foundations of mathematics in the twenties between formalists and intuitionists, and, finally, Hilbert’s work on the theory of relativity and the foundations of quantum mechanics. The book will primarily appeal to an academic audience, although it will also be of interest to general-interest science readers.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo

Author : Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo
Publisher : World Scientific
Page : 5396 pages
File Size : 53,8 Mb
Release : 2019-02-27
Category : Mathematics
ISBN : 9789813272897

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Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo Pdf

The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Standards-based School Mathematics Curricula

Sharon L. Senk,Denisse R. Thompson

Author : Sharon L. Senk,Denisse R. Thompson
Publisher : Taylor & Francis
Page : 536 pages
File Size : 53,9 Mb
Release : 2020-07-24
Category : Education
ISBN : 9781000106152

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Standards-based School Mathematics Curricula by Sharon L. Senk,Denisse R. Thompson Pdf

The Curriculum and Evaluation Standards for School Mathematics published by the National Council of Teachers of Mathematics in 1989 set forth a broad vision of mathematical content and pedagogy for grades K-12 in the United States. These Standards prompted the development of Standards-based mathematics curricula. What features characterize Standards-based curricula? How well do such curricula work? To answer these questions, the editors invited researchers who had investigated the implementation of 12 different Standards-based mathematics curricula to describe the effects of these curricula on students' learning and achievement, and to provide evidence for any claims they made. In particular, authors were asked to identify content on which performance of students using Standards-based materials differed from that of students using more traditional materials, and content on which performance of these two groups of students was virtually identical. Additionally, four scholars not involved with the development of any of the materials were invited to write critical commentaries on the work reported in the other chapters. Section I of Standards-Based School Mathematics Curricula provides a historical background to place the current curriculum reform efforts in perspective, a summary of recent recommendations to reform school mathematics, and a discussion of issues that arise when conducting research on student outcomes. Sections II, III, and IV are devoted to research on mathematics curriculum projects for elementary, middle, and high schools, respectively. The final section is a commentary by Jeremy Kilpatrick, Regents Professor of Mathematics Education at the University of Georgia, on the research reported in this book. It provides a historical perspective on the use of research to guide mathematics curriculum reform in schools, and makes additional recommendations for further research. In addition to the references provided at the end of each chapter, other references about the Standards-based curriculum projects are provided at the end of the book. This volume is a valuable resource for all participants in discussions about school mathematics curricula--including professors and graduate students interested in mathematics education, curriculum development, program evaluation, or the history of education; educational policy makers; teachers; parents; principals and other school administrators. The editors hope that the large body of empirical evidence and the thoughtful discussion of educational values found in this book will enable readers to engage in informed civil discourse about the goals and methods of school mathematics curricula and related research.

Emmy Noether – Mathematician Extraordinaire

David E. Rowe

Author : David E. Rowe
Publisher : Springer Nature
Page : 339 pages
File Size : 41,6 Mb
Release : 2021-01-09
Category : Mathematics
ISBN : 9783030638108

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Emmy Noether – Mathematician Extraordinaire by David E. Rowe Pdf

Although she was famous as the "mother of modern algebra," Emmy Noether’s life and work have never been the subject of an authoritative scientific biography. Emmy Noether – Mathematician Extraordinaire represents the most comprehensive study of this singularly important mathematician to date. Focusing on key turning points, it aims to provide an overall interpretation of Noether’s intellectual development while offering a new assessment of her role in transforming the mathematics of the twentieth century. Hermann Weyl, her colleague before both fled to the United States in 1933, fully recognized that Noether’s dynamic school was the very heart and soul of the famous Göttingen community. Beyond her immediate circle of students, Emmy Noether’s lectures and seminars drew talented mathematicians from all over the world. Four of the most important were B.L. van der Waerden, Pavel Alexandrov, Helmut Hasse, and Olga Taussky. Noether’s classic papers on ideal theory inspired van der Waerden to recast his research in algebraic geometry. Her lectures on group theory motivated Alexandrov to develop links between point set topology and combinatorial methods. Noether’s vision for a new approach to algebraic number theory gave Hasse the impetus to pursue a line of research that led to the Brauer–Hasse–Noether Theorem, whereas her abstract style clashed with Taussky’s approach to classical class field theory during a difficult time when both were trying to find their footing in a foreign country. Although similar to Proving It Her Way: Emmy Noether, a Life in Mathematics, this lengthier study addresses mathematically minded readers. Thus, it presents a detailed analysis of Emmy Noether’s work with Hilbert and Klein on mathematical problems connected with Einstein’s theory of relativity. These efforts culminated with her famous paper "Invariant Variational Problems," published one year before she joined the Göttingen faculty in 1919.

Ramified Surfaces

Michael Friedman

Author : Michael Friedman
Publisher : Springer Nature
Page : 258 pages
File Size : 40,5 Mb
Release : 2022-09-26
Category : Mathematics
ISBN : 9783031057205

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Ramified Surfaces by Michael Friedman Pdf

The book offers an extensive study on the convoluted history of the research of algebraic surfaces, focusing for the first time on one of its characterizing curves: the branch curve. Starting with separate beginnings during the 19th century with descriptive geometry as well as knot theory, the book focuses on the 20th century, covering the rise of the Italian school of algebraic geometry between the 1900s till the 1930s (with Federigo Enriques, Oscar Zariski and Beniamino Segre, among others), the decline of its classical approach during the 1940s and the 1950s (with Oscar Chisini and his students), and the emergence of new approaches with Boris Moishezon’s program of braid monodromy factorization. By focusing on how the research on one specific curve changed during the 20th century, the author provides insights concerning the dynamics of epistemic objects and configurations of mathematical research. It is in this sense that the book offers to take the branch curve as a cross-section through the history of algebraic geometry of the 20th century, considering this curve as an intersection of several research approaches and methods. Researchers in the history of science and of mathematics as well as mathematicians will certainly find this book interesting and appealing, contributing to the growing research on the history of algebraic geometry and its changing images.

Master Mathematics Teachers

Zhenzhen Miao,Christian Bokhove,David Reynolds

Author : Zhenzhen Miao,Christian Bokhove,David Reynolds
Publisher : Taylor & Francis
Page : 244 pages
File Size : 40,9 Mb
Release : 2023-08-21
Category : Education
ISBN : 9781000926606

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Master Mathematics Teachers by Zhenzhen Miao,Christian Bokhove,David Reynolds Pdf

This practical guide invites teachers to take a journey towards masterly mathematics teaching using the experiences and lessons learnt across five Chinese provinces, Anhui, Beijing, Jiangsu, Jiangxi and Tianjin. On this journey, you will gain a thorough understanding of: (1) the quality and characteristics of master mathematics teachers’ teaching, (2) the quality of mathematics learning they have nurtured amongst their students in affective, metacognitive and cognitive dimensions and (3) the teaching-learning mechanisms that underpin excellent performance in the three dimensions. Alongside the quantitative and qualitative evidence on educational excellence, you will also delve deep into the trajectories and processes of professional development that generate professional excellence amongst master mathematics teachers and their peers within and across primary schools, up and down China. Building on data collected with 70 master mathematics teachers and 3,178 students and from teaching research events at the school, municipal, provincial and national levels, the Master Mathematics Teachers (MasterMT) project is, to date, the first that has looked at the legendary tribe of master mathematics teachers in China at such a large scale, and with such breadth and depth. The book offers invaluable insights for any teacher or teacher educator who wants to improve mathematics teaching and learning and generate educational and professional excellence in primary schools and beyond. More information on the Master Mathematics Teachers (MasterMT) project can be accessed at https://mastermt.org/.

Digital Scholarly Editions Beyond Text

Tessa Gengnagel

Author : Tessa Gengnagel
Publisher : arthistoricum.net
Page : 570 pages
File Size : 55,6 Mb
Release : 2024-02-07
Category : Art
ISBN : 9783985011384

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Digital Scholarly Editions Beyond Text by Tessa Gengnagel Pdf

Scholarly editions contextualize our cultural heritage. Traditionally, methodologies from the field of scholarly editing are applied to works of literature, e.g. in order to trace their genesis or present their varied history of transmission. What do we make of the variance in other types of cultural heritage? How can we describe, record, and reproduce it systematically? From medieval to modern times, from image to audiovisual media, the book traces discourses across different disciplines in order to develop a conceptual model for scholarly editions on a broader scale. By doing so, it also delves into the theory and philosophy of the (digital) humanities as such.

A Richer Picture Of Mathematics

A Richer Picture of Mathematics by David E. Rowe Pdf

Rich Pictures by Simon Bell,Tessa Berg,Stephen Morse Pdf

Classroom-Ready Rich Math Tasks, Grades 4-5 by Beth McCord Kobett,Francis (Skip) Fennell,Karen S. Karp,Delise Andrews,Sorsha-Maria T. Mulroe Pdf

Mathematicians as Enquirers by Leone L. Burton Pdf

Making and Breaking Mathematical Sense by Roi Wagner Pdf

Development Of Mathematics Between The World Wars, The: Case Studies, Examples And Analyses by Martina Becvarova Pdf

Proceedings of the Ninth International Congress on Mathematical Education by Hiroshi Fujita,Yoshihiko Hashimoto,Bernard R. Hodgson,Peng Yee Lee,Steve Lerman,Toshio Sawada Pdf

Mathematics Going Forward by Jean-Michel Morel,Bernard Teissier Pdf

Hilbert, Göttingen and the Development of Modern Mathematics by Joan Roselló Pdf

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) by Sirakov Boyan,Souza Paulo Ney De,Viana Marcelo Pdf

Standards-based School Mathematics Curricula by Sharon L. Senk,Denisse R. Thompson Pdf

Emmy Noether – Mathematician Extraordinaire by David E. Rowe Pdf

Ramified Surfaces by Michael Friedman Pdf

Master Mathematics Teachers by Zhenzhen Miao,Christian Bokhove,David Reynolds Pdf

Digital Scholarly Editions Beyond Text by Tessa Gengnagel Pdf

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