It is our hope that this volume will serve to document both the history of the Collegium Phaenomenologicum during its first ten years as well as some of the philosophical work that has grown out of the annual gatherings in Perugia. The Introduction narrates the history and is supplemented by the Appendices, in which the programs and the participants for each of the ten years are listed. The essays, on the other hand, present in more finished form work that was developed in connection with courses, lectures, or seminars conducted during the first ten years of the Collegium. Giuseppina Moneta John Sallis Jacques Taminiaux Introduction The Collegium Phaenomenologicum in Its First Ten Years GIUSEPPINA C. MONETA The idea of the Collegium Phaenomenologicum first took shape in a conversa tion that I had with Werner Marx at his home in Bollschweil in the Spring of 1975. Previously I had thought of the possibility of a gathering of phenom enologists somewhere in Italy during the summer months. And when I ex plained to Werner Marx that it would not be difficult to find accommodation for such a gathering in a Franciscan monastery in Umbria, he responded enthusiastically and assured me that such a project would have the support of the Husserl Archives in Leuven and in Freiburg."

It is our hope that this volume will serve to document both the history of the Collegium Phaenomenologicum during its first ten years as well as some of the philosophical work that has grown out of the annual gatherings in Perugia. The Introduction narrates the history and is supplemented by the Appendices, in which the programs and the participants for each of the ten years are listed. The essays, on the other hand, present in more finished form work that was developed in connection with courses, lectures, or seminars conducted during the first ten years of the Collegium. Giuseppina Moneta John Sallis Jacques Taminiaux Introduction The Collegium Phaenomenologicum in Its First Ten Years GIUSEPPINA C. MONETA The idea of the Collegium Phaenomenologicum first took shape in a conversa tion that I had with Werner Marx at his home in Bollschweil in the Spring of 1975. Previously I had thought of the possibility of a gathering of phenom enologists somewhere in Italy during the summer months. And when I ex plained to Werner Marx that it would not be difficult to find accommodation for such a gathering in a Franciscan monastery in Umbria, he responded enthusiastically and assured me that such a project would have the support of the Husserl Archives in Leuven and in Freiburg."

Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors' successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago's Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.