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…

Analyzes videotaped lessons of 5th grade students on equivalent fractions from seven American and six Japanese classrooms in terms of a recurrent pattern in public discourse among a teacher and students. Found two approaches to the teaching-learning of the criteria for evaluating mathematical arguments. (Contains 17 references.) (Author/ASK)

Fourth-grade control students were given a multiple-choice problem involving conservation of weight. Experimental group subjects were given a fictitious choice response distribution with conflicting reasons. Curiosity for confirmation, progress in generalizing the principle of conservation, and positive correlation between curiosity and progress…