Describes a typical fifth-grade mathematics lesson as taught in a Japanese elementary school, followed by a reflective commentary focused on problem solving, using manipulative aids, and multiple solutions. (ASK)

It is known from many international studies that Japanese students do well in mathematics. This paper describes a typical lesson from a Japanese fifth-grade classroom, and discusses the lesson in terms of problem solving, including: embedding of the problem, spending 35 minutes or more on one problem, acting out the problem, multiple solutions,…

Describes three episodes in Sendai, Japan: (1) reasoning with number patterns (grade one); (2) engaging in logical analysis (grade five); and (3) a reason to reason (grade five). Observation of these episodes reinforces importance of the teacher's patience in guiding the lesson and encouraging several alternative solutions from students. Lessons…