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Translating Euclid reports on an effort to transform geometry for students from a stylus-and-clay-tablet corpus of historical theorems to a stimulating computer-supported collaborative-learning inquiry experience. The origin of geometry was a turning point in the pre-history of informatics, literacy, and rational thought. Yet, this triumph of human intellect became ossified through historic layers of systematization, beginning with Euclid's organization of the Elements of geometry. Often taught by memorization of procedures, theorems, and proofs, geometry in schooling rarely conveys its underlying intellectual excitement. The recent development of dynamic-geometry software offers an opportunity to translate the study of geometry into a contemporary vernacular. However, this involves transformations along multiple dimensions of the conceptual and practical context of learning. Translating Euclid steps through the multiple challenges involved in redesigning geometry education to take advantage of computer support. Networked computers portend an interactive approach to exploring dynamic geometry as well as broadened prospects for collaboration. The proposed conception of geometry emphasizes the central role of the construction of dependencies as a design activity, integrating human creation and mathematical discovery to form a human-centered approach to mathematics. This book chronicles an iterative effort to adapt technology, theory, pedagogy and practice to support this vision of collaborative dynamic geometry and to evolve the approach through on-going cycles of trial with students and refinement of resources. It thereby provides a case study of a design-based research effort in computer-supported collaborative learning from a human-centered informatics perspective.
This volume contains information on Gerry Stahl's sculpture and other artistic creations. There are reflections on his approach to sculpture, both aesthetic and technical. The volume concludes with a catalog of all the sculptures in chronological order.
This book contains adventures in digital geometry for the minds of students in pods and in home-schooling. Learning about geometry has inspired many of the most important thinkers for centuries and helped them to make sense of the world. This sequence of 50 hands-on challenges will step learners through the most exciting experiences of geometry, from basic points, lines and circles to construction and proof. The book is structured as a game: a series of thought-provoking challenges that provides a stimulating experience of collaboration with pod-mates and a fun introduction to geometry.
The volume includes essays that address the philosophical issues raised in computer support of collaborative learning and by the concept of group cognition. In particular, philosophy of group cognition should tackle the following questions: * What is the nature of group cognition? * What are the conditions of possibility for the existence of group cognition? The essays explore intersubjectivity, joint attention, common ground, collaborative learning and related concepts through analysis of empirical examples and review of the most important philosophic sources.
As Editor-in-Chief of the International Journal of Computer-Supported Collaborative Learning from its founding in 2006 to my retirement from that position at the end of 2015, I drafted an editorial introduction to each quarterly issue. This provided a venue for me to comment on the importance of each published article (from my perspective) and sometimes to offer my ideas or reflections on the field of CSCL or one of its central issues. The 39 introductions included here provide a glimpse into the evolution of the CSCL field during a key decade of its history, as it became internationally established with conferences around the world and with this journal.
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