First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. Michio Kuga s lectures on Group Theory and Differential Equations are a realization of two dreams---one to see Galois groups used to attack the problems of differential equations---the other to do so in such a manner as to take students from a very basic level to an understanding of the heart of this fascinating mathematical problem. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations."

First year, undergraduate, mathematics students in Japan have for many years had the opportunity of a unique experience---an introduction, at an elementary level, to some very advanced ideas in mathematics from one of the leading mathematicians of the world. English reading students now have the opportunity to enjoy this lively presentation, from elementary ideas to cartoons to funny examples, and to follow the mind of an imaginative and creative mathematician into a world of enduring mathematical creations.

Ways to Think About Mathematics will fill the gap between what the math teachers learned in college and what they are required to teach in today's classrooms. The book will be divided into five modules that focus on algebraic, geometric, and statistical ideas. The book uses immersion in content to help secondary mathematics teachers improve their knowledge and understanding of mathematical concepts. Ways to Think About Mathematics gives teachers the opportunity to learn and understand the same math concepts and math problems that they will be teaching. This book can be used by individual teacher; whether preservice, novice teachers, or experienced teachers. This book can also be used in staff development workshops or faculty teams. It is also appropriate for teacher education courses in secondary mathematics.