In the Hypothesis-Experiment-Instruction (HEI) method students are presented with a problem with three or four answer alternatives, which leads them later to recognize the distribution of choices, discuss a variety of ideas among them, and integrate distributed pieces of information. This study examined the effects of presenting a problem with or…

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,…

A mathematics achievement test was taken by 132 U.S. and 110 Japanese fifth graders. Scores were higher for the Japanese, and relatively better for computation than problem solving. The reverse was true for the U.S. students. Results are discussed in terms of amount and kind of exposure to mathematics. (SLD)

This paper reports on five related studies on upper elementary school students' beliefs about the role of real-world knowledge in solving mathematical word problems, and on possibilities of overcoming their unrealistic mathematical modeling. Findings from the first study of 75 Belgian fifth-grade students showed that as a consequence of current…

In 1986 the United States (U.S.)-Japan Seminar on Mathematical Problem Solving convened to compare the state of problem solving in the classroom and in research in the two countries. The data and results given in this paper are the results of research conducted in the United States in response to the 1986 seminar. The U.S. and Japanese research…