Exploratory Experimentation: Digitally-Assisted Discovery and Proof Jonathan Michael Borwein 1

Abstract

There is nothing like a vision which turns into a reality. This volume was first conceived of in Rina’s period of office as President in 2002 and has reached fruition during Chris’s tenure in 2006 as we celebrate 30 years of PME. We both offer our sincere appreciation for all the cooperative work, insight and dedication that has been put into the project by the IC members who were the pioneers in processing the volume idea, the volume editors, authors and reviewers of the various chapters. Congratulations are due to all concerned! This volume is intended to provide a window through which researchers in the mathematics education community as a whole, as well as researchers and students in other educational communities, can join with the insiders –PME members and their students– to gain an understanding of the scope and contribution of some of the various areas of PME research. This volume also represents a milestone for the PME community as it celebrates 30 years of existence. The organization has grown considerably in numbers since its formation in 1976 and it is appropriate for PME to mark the occasion by presenting a consolidated report on important PME research interests, questions and methodologies, findings and conclusions, as well as some hints of possible future activity in the field.