Examines the effects of a teaching strategy in which fifth-grade students evaluated the strengths or weaknesses of solution methods to pattern finding problems, including an experimental and control group each consisting of 34 elementary students, in Japan. The experimental group showed a significantly better performance on the retention test…

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,…

Algebra is no longer just for college-bound students. After a widespread push by the National Council of Teachers of Mathematics (NCTM) and teachers across the country, algebra is now a required part of most curricula. However, students' standardized test scores are not at the level they should be. NCTM's seventieth yearbook takes a look at the…

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…