What Makes a Good Mathematics Lesson: The Lessons

Have you ever wondered What Makes a Good Mathematics Lesson?For many years, this has been a topic of conversation between American mathematics educators Douglas Corey and Blake Peterson, and their Japanese colleagues Hiroyuki Ninomiya, Kazuhiko Soma, and Susumu Kunimune.This conversation led these Japanese mathematics educators to articulate “key considerations” that should be addressed when preparing a good mathematics lesson and the “criteria” that can be used as guidelines when reflecting on the quality of a lesson after it has been taught. The three considerations are:Make the Goal of the Lesson ClearThoughtfully Decide on the Problem and its PresentationPlan Ways to Incorporate Students’ IdeasAnd the questions corresponding to the criteria are:Were Students Proactively Engaged and Did They Continue to Think for Themselves?Were the Objectives Appropriately Set and Achieved?In What Makes a Good Mathematics Lesson: The Lessons, 27 Japanese middle school teachers describe lessons in w