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This book brings together 10 experiments which introduce historical perspectives into mathematics classrooms for 11 to 18-year-olds. The authors suggest that students should not only read ancient texts, but also should construct, draw and manipulate. The different chapters refer to ancient Greek, Indian, Chinese and Arabic mathematics as well as to contemporary mathematics. Students are introduced to well-known mathematicians—such as Gottfried Leibniz and Leonard Euler—as well as to less famous practitioners and engineers. Always, there is the attempt to associate the experiments with their scientific and cultural contexts. One of the main values of history is to show that the notions and concepts we teach were invented to solve problems. The different chapters of this collection all have, as their starting points, historic problems—mathematical or not. These are problems of exchanging and sharing, of dividing figures and volumes as well as engineers’ problems, calculations, equations and congruence. The mathematical reasoning which accompanies these actions is illustrated by the use of drawings, folding, graphical constructions and the production of machines.
This book is the result of fifteen years of studies on art, in collaboration with mathematicians (in particular Jean-Paul Guichard and the IREM of Poitiers). Until the Renaissance, the composition of painting and architecture was based on a specific geometry, called with the eyes. Its adventure began before writing, and books report nothing about. This practice avoids calculation for fear of scaring numbers, thanks to a grid where the figures are constructed. Thales, like many Greek philosophers, went to Egypt to learn it - he will give his name to the axioms. Then, all the properties are demonstrated with visual evidences, qualified as monstrations, in particular the four manifestations of the golden ratio in the triangle 3-4-5. This book offers a rich pedagogical material, as well as a solid basis for reflection on art and history. Rublev, Botticelli and Dürer are the great masters of this art. The color images for the screen, and the B/W for print, are accessible on the Internet.
Autobiography in France has taken a decidedly visual turn in recent years: photographs, shown or withheld, become evidence of what was, might have been, or cannot be said; photographers, filmmakers, and cartoonists undertake projects that explore issues of identity. Textual and Visual Selves investigates, from a variety of theoretical perspectives, the ways in which the textual and the visual combine in certain French works to reconfigure ideasãand imagesãof self-representation. Surprisingly, what these accounts reveal is that photography or film does not necessarily serve to shore up the referentiality of the autobiographical account: on the contrary, the inclusion of visual material can even increase indeterminacy and ambiguity. Far from offering documentary evidence of an extratextual self coincident with the –I” of the text, these images testify only to absence, loss, evasiveness, and the desire to avoid objectification. However, where Roland Barthes famously saw the photograph as a prefiguration of death, in this volume we see how the textual strategies deployed by these writers and artists result in work that is ultimately life-affirming.
History.
This book examines how the fall of France in the Second World War has been recorded by historians and remembered within society. It argues that explanations of the fall have usually revolved around the four main themes of decadence, failure, constraint and contingency. It shows that the dominant explanation claimed for many years that the fall was the inevitable consequence of a society grown rotten in the inter-war period. This view has been largely replaced among academic historians by a consensus which distinguishes between the military defeat and the political demise of the Third Republic. It emphasizes the contingent factors that led to the military defeat. At the same time it seeks to understand the constraints within which France’s policy-makers were required to act and the reasons for their policy-making failures in economics, defence and diplomacy.
The history of secret intelligence, like secret intelligence itself, is fraught with difficulties surrounding both the reliability and completeness of the sources, and the motivations behind their release—which can be the product of ongoing propaganda efforts as well as competition among agencies. Indeed, these difficulties lead to the Scylla and Charybdis of overestimating the importance of secret intelligence for foreign policy and statecraft and also underestimating its importance in these same areas—problems that generally beset the actual use of secret intelligence in modern states. But in recent decades, traditional perspectives have given ground and judgments have been revised in ...
Here is a collection of papers exploring fron an interdisciplinary standpoint recent developments in teaching English as a second language. Insights into teaching methodologies, language adquisition adn applied linguistics encompass the use of literature and cultural studies in educational research, in order to provide teachers and scholars with a state-of-the-art account of the current progresses in foreing language education.
Revisiting al-Andalus brings together a range of new approaches to the material culture of Islamic Iberia, highlighting especially new directions in Anglo-American scholarship in this field since the influential exhibition in 1992, Al-Andalus: the Art of Islamic Spain.
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This book examines China’s response to the 2007-2008 global financial crisis, and the resulting new status acquired by China within the international economy. It considers the things China did to weather the crisis, discussing the stimulus package put in place by China and how China’s banks coped, but above all examines the measures which countries outside China look to China to put in place in order to better encourage and secure world-wide economic recovery, measures such as currency revaluation, tax reform and greater stimulation of domestic demand. The book contrasts China’s response to the crisis, and China’s increasingly central role in the world economy, with the responses of the European Union. The book also assesses China’s increasingly important regional role, in particular its dialogue with the new Japanese government, and China’s positioning towards Southeast Asia, and also discusses the growth of Chinese foreign direct investment.