Articulations Between Tangible Space Graphical Space And Geometrical Space

This book aims to present some of the latest research in the didactics of space and geometry, deepen some theoretical questions and open up new reflections for discourse. Its focus is as much on the approach of geometry itself and its link with the structuring of space as it is on the practices within the classroom, the dissemination of resources, the use of different artefacts and the training of teachers in this field. We study how spatial knowledge, graphical knowledge and geometric knowledge are taken into account and articulated in the teaching of space and geometry in compulsory schools, teaching resources (programs and textbooks) and current teacher training. We question how the semiotic dimension (language, gestures and signs) of geometric activity can be taken into account, and we identify the role of artefacts (digital or tangible) in the teaching and learning of geometry. This book brings together some fifteen contributions from Frenchspeaking researchers from different countries (France, Switzerland and Canada).

This book aims to present some of the latest research in the didactics of space and geometry, deepen some theoretical questions and open up new reflections for discourse. Its focus is as much on the approach of geometry itself and its link with the structuring of space as it is on the practices within the classroom, the dissemination of resources, the use of different artefacts and the training of teachers in this field. We study how spatial knowledge, graphical knowledge and geometric knowledge are taken into account and articulated in the teaching of space and geometry in compulsory schools, teaching resources (programs and textbooks) and current teacher training. We question how the semiotic dimension (language, gestures and signs) of geometric activity can be taken into account, and we identify the role of artefacts (digital or tangible) in the teaching and learning of geometry. This book brings together some fifteen contributions from Frenchspeaking researchers from different countries (France, Switzerland and Canada).

For two centuries, the school system has been a central point around which other players have gravitated: local authorities, voluntary organizations and the world of work. Over the course of the 20th century, this school centric configuration underwent a transformation, with local authorities tending to become integrated into the vertical culture of the school system. This was only the beginning of a process that brought schools and socio cultural players into constant contact. Cultural, Training and Educational Spaces first examines the relationships with knowledge generated by the links between the school system and other cultural, training and educational spaces, taking a historical, pedagogical and philosophical perspective. Easy access to learning materials creates different relationships with knowledge than those observed in schools. The book then looks at the pedagogical practices in these different cultural educational spaces, such as libraries and media libraries, museums and historical sites, places of heritage, history and entertainment, social networks and other multimedia formats.

These three essays by an eminent scientist explore the nature, origin, and development of our concepts of space from the points of view of the senses, history, and physics. They examine the subject from every direction, in a manner suitable for both undergraduates and other readers. 25 figures.1906 edition.

Henri Lefebvre has considerable claims to be the greatest living philosopher. His work spans some sixty years and includes original work on a diverse range of subjects, from dialectical materialism to architecture, urbanism and the experience of everyday life. The Production of Space is his major philosophical work and its translation has been long awaited by scholars in many different fields. The book is a search for a reconciliation between mental space (the space of the philosophers) and real space (the physical and social spheres in which we all live). In the course of his exploration, Henri Lefebvre moves from metaphysical and ideological considerations of the meaning of space to its experience in the everyday life of home and city. He seeks, in other words, to bridge the gap between the realms of theory and practice, between the mental and the social, and between philosophy and reality. In doing so, he ranges through art, literature, architecture and economics, and further provides a powerful antidote to the sterile and obfuscatory methods and theories characteristic of much recent continental philosophy. This is a work of great vision and incisiveness. It is also characterized by its author's wit and by anecdote, as well as by a deftness of style which Donald Nicholson-Smith's sensitive translation precisely captures.

A phenomenological account of spatial perception in relation to the lived body. The Sense of Space brings together space and body to show that space is a plastic environment, charged with meaning, that reflects the distinctive character of human embodiment in the full range of its moving, perceptual, emotional, expressive, developmental, and social capacities. Drawing on the philosophies of Merleau-Ponty and Bergson, as well as contemporary psychology to develop a renewed account of the moving, perceiving body, the book suggests that our sense of space ultimately reflects our ethical relations to other people and to the places we inhabit. David Morris is Associate Professor of Philosophy at Trent University.