This book is the result of the collaborative effort of nine AYA National Board Certified Teachers in Mathematics. It represents a compilation of teacher-tested activities that prompt high school students to explore, conjecture and reflect on their mathematical adventures-- thus "experience mathematics." This edition will educate the teacher regarding tenets of cognitive science, motivation theory, and the NCTM/NBCT Standards. It will dispel the myth that the crowded curriculum does not have room for such activities and in fact, convince teachers using such activities to increase both teacher and student motivation and achievement. The resources provide detailed instructions for each activity, student prompts, and reflective questions for the teacher. This book begins with a Preface and introduction. It is divided into the following three sections: (1) Algebra 1; (2) Geometry; and (3) Algebra 2. [For the Student Edition, see ED493290.]