This book offers ways of presenting and developing three topics emphasized in Principles and Standards for School counting, vertex-edge graphs, and iterative and recursive processes. The authors explain essential vocabulary, concepts, and methods. Developmentally-appropriate activities involve students in such tasks as counting combinations, finding paths, and making schedules. These hands-on investigations demonstrate the potential of discrete mathematics to engage students who have not found mathematics rewarding in the past. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.