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Author: Olli Lehto Publisher: Springer Science & Business Media ISBN: 1461206138 Category : Mathematics Languages : en Pages : 409
Book Description
At its meeting in April 1990 at the University of Cambridge, the Executive Committee of the International Mathematical Union (IMU) decided that the largely unorganized archives of the Union should be properly arranged and catalogued. Simultaneously, the Executive Committee expressed the wish that a history of the Union should be written [1). As Secretary of the Union, I had proposed that these issues be dis cussed at the Cambridge meeting, but without having had in mind any personal role in the practical execution of such projects. At that time, the papers of the IMU were stored in Zurich, at the Eidgenossische Technische Hochschule, and I saw no reason why they could not remain there. At about this time, Professor K. Chandrasekharan produced a handwritten article titled "The Prehistory of the International Mathematical Union" [2), and it seemed to me that this might serve as the beginning of a more compre hensive history. I had first thought that Tuulikki MakeUiinen, who during eight years as the Office Secretary ofthe IMU had become well acquainted with the Union, would do the arranging of the archives in Zurich. She had a preliminary look at the material there, but it soon became clear that the amount of work required to bring order to it was too great to be accomplished in a few short visits from Helsinki. The total volume of material was formidable.
Author: Olli Lehto Publisher: Springer Science & Business Media ISBN: 1461206138 Category : Mathematics Languages : en Pages : 409
Book Description
At its meeting in April 1990 at the University of Cambridge, the Executive Committee of the International Mathematical Union (IMU) decided that the largely unorganized archives of the Union should be properly arranged and catalogued. Simultaneously, the Executive Committee expressed the wish that a history of the Union should be written [1). As Secretary of the Union, I had proposed that these issues be dis cussed at the Cambridge meeting, but without having had in mind any personal role in the practical execution of such projects. At that time, the papers of the IMU were stored in Zurich, at the Eidgenossische Technische Hochschule, and I saw no reason why they could not remain there. At about this time, Professor K. Chandrasekharan produced a handwritten article titled "The Prehistory of the International Mathematical Union" [2), and it seemed to me that this might serve as the beginning of a more compre hensive history. I had first thought that Tuulikki MakeUiinen, who during eight years as the Office Secretary ofthe IMU had become well acquainted with the Union, would do the arranging of the archives in Zurich. She had a preliminary look at the material there, but it soon became clear that the amount of work required to bring order to it was too great to be accomplished in a few short visits from Helsinki. The total volume of material was formidable.
Author: Åsa Hirvonen Publisher: Walter de Gruyter GmbH & Co KG ISBN: 1614519323 Category : Philosophy Languages : en Pages : 438
Book Description
In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect to the diverse work of Väänänen, whose ecumenical approach to logic reflects the unity of the discipline.
Author: Publisher: ISBN: 9783030442934 Category : Electronic books Languages : en Pages : 292
Book Description
This book examines the current state of the field of mathematics pre-service teacher education through the theme of borders. Borders are ubiquitous; they can be used to define, classify, organize, make sense of, and/or group. There are many ways that the concept of a border illuminates the field of mathematics pre-service teacher education. Consequently, there are a multitude of responses to these borders: researchers and practitioners question, challenge, cross, blur, and erase them. Chapters include the following topics: explorations of mathematics across topics (e.g., geometry, algebra, probability) and with other disciplines (e.g., science, the arts, social sciences); challenging gender, cultural, and racial borders; exploring the structure and curriculum of teacher education programs; spaces inhabited by teacher education programs (e.g., university, community); and international collaborations and programs to promote cross-cultural sharing and learning. The book targets a readership of researchers and graduate students in integrated education studies, teacher education, practitioners of mathematics education, curriculum developers, and educational administrators and policy makers.
Author: Yong Zhao Publisher: Corwin Press ISBN: 1506377386 Category : Education Languages : en Pages : 117
Book Description
The future of education centers empowered students in a global learning ecosystem. Despite decades of reform, the traditional borders of education—graduation, curriculum, classrooms, schools—have failed to deliver on the goals of excellence and equity. Despite massive societal changes, education remains controlled by an old mindset. It is time to change that limiting mindset and, more importantly, the ineffective practices in education. To truly serve all learners, future classrooms must remove the boundaries of learning and become student-centered, culturally responsive, and personalized—supportive and equitable environments where each student can direct their own learning and seek multiple pathways to skills and knowledge in a global learning ecosystem. This compelling call for transformative change offers all involved in education Evidence-based arguments that reveal the need to break the traditional borders that limit learning Strategies to personalize learning and remove the confinement of traditional pathways Examples from around the world to create equitable and student-centric learning environments Resources for creating a school learning environment that expands opportunities for personalized learning into the global learning ecosystem It is time to now imagine a different kind of learning, without borders, and to begin the shifts in practice that will result in personalized learning for all students.
Author: Milo Beckman Publisher: Penguin ISBN: 1524745561 Category : Mathematics Languages : en Pages : 225
Book Description
An illustrated tour of the structures and patterns we call "math" The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject. Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world. The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.
Author: Stuart Schrader Publisher: Univ of California Press ISBN: 0520968336 Category : History Languages : en Pages : 413
Book Description
From the Cold War through today, the U.S. has quietly assisted dozens of regimes around the world in suppressing civil unrest and securing the conditions for the smooth operation of capitalism. Casting a new light on American empire, Badges Without Borders shows, for the first time, that the very same people charged with global counterinsurgency also militarized American policing at home. In this groundbreaking exposé, Stuart Schrader shows how the United States projected imperial power overseas through police training and technical assistance—and how this effort reverberated to shape the policing of city streets at home. Examining diverse records, from recently declassified national security and intelligence materials to police textbooks and professional magazines, Schrader reveals how U.S. police leaders envisioned the beat to be as wide as the globe and worked to put everyday policing at the core of the Cold War project of counterinsurgency. A “smoking gun” book, Badges without Borders offers a new account of the War on Crime, “law and order” politics, and global counterinsurgency, revealing the connections between foreign and domestic racial control.
Author: Noson S. Yanofsky Publisher: MIT Press ISBN: 026252984X Category : Science Languages : en Pages : 419
Book Description
This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves. “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known. Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve: • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.
Author: Olli Lehto
Author: Olli Lehto
Author: Åsa Hirvonen
Author: 
Author: Yong Zhao
Author: Olli Lehto
Author: Milo Beckman
Author: Stuart Schrader
Author: Noson S. Yanofsky
Author: Robert E. Ployhart
Author: G. D. Chakerian