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This volume includes analyses of student teams using the VMT environment with multi-user GeoGebra. These studies are related to the presentations in "Translating Euclid" and "Constructing Dynamic Triangles Together." These essays document the most recent stage of the Virtual Math Teams Project.

This was my doctoral dissertation in computer science at the University of Colorado. It was entitled: "Interpretation in Design: The Problem of Tacit and Explicit Understanding in Computer Support of Cooperative Design" and was defended on August 5, 1993. The dissertation explored the implications of the theory of tacit knowledge for the problem of computer capture of design rationale. It discussed a software system for design by teams of N...

These are case studies of student teams using VMT to work on problems in the mathematical domain of combinatorics. The version of VMT used here included a generic whiteboard for sketching graphical representations. Data from these sessions was analyzed by a number of researchers in addition to the VMT project members.The essays in this volume were co-authored with close colleagues.

The investigations within this volume comprise a selection of seminal and influential articles and critical commentaries that contribute to an understanding of concepts and themes central to the field of Computer-Supported Collaborative Learning, as well as reflections on past and potential achievements of the field. They include 12 important theoretical articles from the international CSCL journal that expand our understanding of social cogni...

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 or...

Computers have transformed how we think, discuss and learn-as individuals, in groups, within cultures and globally. However, social media are problematic, fostering flaming, culture wars and fake news. This volume presents an alternative paradigm for computer support of group thinking, collaborative learning and joint knowledge construction. This requires expanding concepts of cognition to collectivities, like collaborative groups of networked...

This book reports on an extensive research effort involving teaching teachers and their students about dynamic geometry in an online collaboration environment. Specifically, it documents the cognitive development of a team of three students learning in that online social setting. The extended case study shows how the team enacted the tools and adopted group practices within an educational research project, which was designed to extend and supp...

This book reports on a number of attempts to provide computer support for cooperative work and collaborative learning. Critical consideration of the problems exposed by these efforts leads to the formulation of the concept of group cognition as a view at the group unit of analysis. It suggests starting the Virtual Math Teams Project to analyze in detail how group interaction can achieve cognitive accomplishments. Analysis of small groups of st...

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 ...

The investigations within this volume comprise a selection of seminal and influential articles and critical commentaries that contribute to an understanding of concepts and themes central to the field of Computer-Supported Collaborative Learning, as well as reflections on past and potential achievements of the field. They include 12 important theoretical articles from the international CSCL journal that expand our understanding of social cogni...

This book presents a coherent research agenda that has been pursued by the author and his research group. The book opens with descriptions of the project and its methodology, as well as situating this research in the past and present context of the CSCL research field. The core research team then presents five concrete analyses of group interactions in different phases of the Virtual Math Teams research project. These chapters are followed by ...

Computers have transformed how we think, discuss and learn-as individuals, in groups, within cultures and globally. However, social media are problematic, fostering flaming, culture wars and fake news. This volume presents an alternative paradigm for computer support of group thinking, collaborative learning and joint knowledge construction. This requires expanding concepts of cognition to collectivities, like collaborative groups of networked...

My career has usually been funded by grants. Here are some of the proposals I wrote at the University of Colorado and at Drexel University. Successful grant proposals are tricky to write. The ones reproduced here might provide helpful examples. They may also provide explicit statements of some of the goals of my research over the years.

A philosophy dissertation combining the strong points of Marx' and Heidegger's approaches to correct the problems that their theories have encountered.

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...

This introduction to Computer-Supported Collaborative Learning by Gerry Stahl, Tim Koschmann and Dan Suthers is perhaps the most cited paper in CSCL. An updated version from 2020 is included here. It is accompanied by translations of the original version into Spanish, Portuguese, Chinese (traditional and simplified), Romanian and German.

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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 ...