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In this book, Raymond Duval shows how his theory of registers of semiotic representation can be used as a tool to analyze the cognitive processes through which students develop mathematical thinking. To Duval, the analysis of mathematical knowledge is in its essence the analysis of the cognitive synergy between different kinds of semiotic representation registers, because the mathematical way of thinking and working is based on transformations of semiotic representations into others. Based on this assumption, he proposes the use of semiotics to identify and develop the specific cognitive processes required to the acquisition of mathematical knowledge. In this volume he presents a method to do so, addressing the following questions: * How to situate the registers of representation regarding the other semiotic "theories" * Why use a semio-cognitive analysis of the mathematical activity to teach mathematics * How to distinguish the different types of registers * How to organize learning tasks and activities which take into account the registers of representation * How to make an analysis of the students' production in terms of registers Building upon the contributions he first presented in his classic book Semiosis et pensee humaine, in this volume Duval focuses less on theoretical issues and more on how his theory can be used both as a tool for analysis and a working method to help mathematics teachers apply semiotics to their everyday work. He also dedicates a complete chapter to show how his theory can be applied as a new strategy to teach geometry."Understanding the Mathematical Way of Thinking - The Registers of Semiotic Representations is an essential work for mathematics educators and mathematics teachers who look for an introduction to Raymond Duval's cognitive theory of semiotic registers of representation, making it possible for them to see and teach mathematics with fresh eyes." Professor Tania M. M. Campos, PHD.
Civilizations and World Order: Geopolitics and Cultural Difference examines the role of civilizations in the context of the existing and possible world order(s) from a cross-cultural and inter-disciplinary perspective. Contributions seek to clarify the meaning of such complex and contested notions as "civilization," "order," and "world order"; they do so by taking into account political, economic, cultural, and philosophical dimensions of social life. The book deals with its main theme from three angles or vectors: first, the geopolitical or power-political context of civilizations; secondly, the different roles of civilizations or cultures against the backdrop of "post-coloniality" and "Orientalism"; and thirdly, the importance of ideological and regional differences as factors supporting or obstructing world order(s). All in all, the different contributions demonstrate the impact of competing civilizational trajectories on the functioning or malfunctioning of contemporary world order.
Civilizations and World Order: Geopolitics and Cultural Difference examines the role of civilizations in the context of the existing and possible world order(s) from a cross-cultural and inter-disciplinary perspective. Contributions seek to clarify the meaning of such complex and contested notions as "civilization," "order," and "world order"; they do so by taking into account political, economic, cultural, and philosophical dimensions of social life. The book deals with its main theme from three angles or vectors: first, the geopolitical or power-political context of civilizations; secondly, the different roles of civilizations or cultures against the backdrop of "post-coloniality" and "Orientalism"; and thirdly, the importance of ideological and regional differences as factors supporting or obstructing world order(s). All in all, the different contributions demonstrate the impact of competing civilizational trajectories on the functioning or malfunctioning of contemporary world order.
Is it possible to rearticulate the relationship between Europe and its others in non-colonizing ways? Europe and Its Boundaries reflects upon this question, first by exploring several philosophical approaches to Europe's relation to non-Europe, then by examining that relationship in specific intellectual and material contexts of European domination. The philosophical approaches are explored through the works of G. W. F. Hegel, Emmanuel Levinas, Jacques Derrida, and Hans-Georg Gadamer. Departing from the routine recognition of Europe's hegemonic role in constituting global political modernity, the authors examine fundamental political and ethical questions of coloniality, anti-coloniality, post-coloniality, mutual recognition, hospitality, responsibility, justice, and democracy. Regarding the intellectual and material contexts, the book explores the production of Europe and its relation to others in highly significant moments and sites of meaning making in European history and politics, from battles and monuments on its western and eastern territorial boundaries to museum exhibitions and immigrant detention centers, that is, new forms of borders at its very core. Europe and Its Boundaries thus reconsiders historical and contempoarary understandings of Europe, border politics, and global encounters more broadly. This book will find an audience among scholars of political theory, international relations, geography, cultural studies, history, and post-colonial studies.
In this book, Raymond Duval shows how his theory of registers of semiotic representation can be used as a tool to analyze the cognitive processes through which students develop mathematical thinking. To Duval, the analysis of mathematical knowledge is in its essence the analysis of the cognitive synergy between different kinds of semiotic representation registers, because the mathematical way of thinking and working is based on transformations of semiotic representations into others. Based on this assumption, he proposes the use of semiotics to identify and develop the specific cognitive processes required to the acquisition of mathematical knowledge. In this volume he presents a method to do so, addressing the following questions: * How to situate the registers of representation regarding the other semiotic "theories" * Why use a semio-cognitive analysis of the mathematical activity to teach mathematics * How to distinguish the different types of registers * How to organize learning tasks and activities which take into account the registers of representation * How to make an analysis of the students' production in terms of registers Building upon the contributions he first presented in his classic book Semiosis et pensee humaine, in this volume Duval focuses less on theoretical issues and more on how his theory can be used both as a tool for analysis and a working method to help mathematics teachers apply semiotics to their everyday work. He also dedicates a complete chapter to show how his theory can be applied as a new strategy to teach geometry."Understanding the Mathematical Way of Thinking - The Registers of Semiotic Representations is an essential work for mathematics educators and mathematics teachers who look for an introduction to Raymond Duval's cognitive theory of semiotic registers of representation, making it possible for them to see and teach mathematics with fresh eyes." Professor Tania M. M. Campos, PHD.
This edited volume examines power in its different dimensions in global governance. Scholars tend to underestimate the importance of power in international relations because of a failure to see its multiple forms. To expand the conceptual aperture, this book presents and employs a taxonomy that alerts scholars to the different kinds of power that are present in world politics. A team of international scholars demonstrate how these different forms connect and intersect in global governance in a range of different issue areas. Bringing together a variety of theoretical perspectives, this volume invites scholars to reconsider their conceptualization of power in world politics and how such a move can enliven and enrich their understanding of global governance.
This edited volume examines power in its different dimensions in global governance. Scholars tend to underestimate the importance of power in international relations because of a failure to see its multiple forms. To expand the conceptual aperture, this book presents and employs a taxonomy that alerts scholars to the different kinds of power that are present in world politics. A team of international scholars demonstrate how these different forms connect and intersect in global governance in a range of different issue areas. Bringing together a variety of theoretical perspectives, this volume invites scholars to reconsider their conceptualization of power in world politics and how such a move can enliven and enrich their understanding of global governance.
India and South Africa, two states that bookended the process of twentieth century decolonization, punched above their weight in global politics in their initial years of liberation. Postscripts on Independence analyses and compares the making of foreign policy ideas, identities, and institutions of postcolonial India and South Africa. It shows how both countries have responded to the contradictory demands of their freedom struggles against colonialism and pragmatic challenges of international politics. Vineet Thakur argues that the countries' geopolitical positioning in South Asia and southern Africa make them regional powers, with similar sets of problems and prospects, as both continue to grapple with the idea of maintaining regional and/or continental hegemony. By undertaking a comparative analysis, he explores a framework to understand the foreign policymaking fears, aspirations, and international behaviour of these two states.
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