This teaching module with its 80-minute videotape of lessons from U.S., Japanese, and German classrooms is designed to help moderators facilitate discussion among educators. This guide is intended to help moderators make appropriate decisions about sessions and suggest items to consider when discussing the Third International Mathematics and Science Study (TIMSS) videotape, "Eighth-Grade Mathematics Lessons: United States, Japan, and Germany". The guide is organized into sections on: (1) preparation for sessions to discuss the TIMSS videotape; (2) descriptions of six algebra and geometry lessons from the U.S., Japan, and Germany that appear on the videotape; (3) research methods and findings from the TIMSS videotape classroom study; (4) background information on education in the U.S., Japan, and Germany; (5) frequently asked questions and answers; (6) handout/transparency masters; (7) lesson tables; and (8) lesson transcripts. (AIM)