Asked eight adults to instruct third- and fourth-graders individually in a math problem. Found that the adults offered more variable instruction to children who produced gesture-speech mismatches than to children with no mismatches--more types of instructional strategies and more instructions that contained two different strategies, one in speech…

Describes similarities and differences between modeling cycles and stages of development. Includes examples of relevant constructs underlying children's developing ways of thinking about fractions, ratios, rates, proportions, or other mathematical ideas. Concludes that modeling cycles appear to be local or situated versions of the general stages…

Investigates student learning in a mathematics enrichment program offered via the Internet. Describes a course aimed at fostering students' capabilities to work like a mathematician. Examines students' correspondence and work for evidence of how students were working mathematically. Explains how to design both face-to-face and on-line teaching to…

Theories--based on concretizing, assimilation, and structuring--of the use of metaphors in learning are assessed. Each is shown to predict different patterns of inferences and errors in problem solving. An experiment with 43 undergraduates involving college lectures indicated that structuring may provide the most important function of metaphors in…

Examined how task design influences the effectiveness of peer collaboration in facilitating students' conceptual change in physics. Subjects were 8- to 12-year olds studying heating and cooling. Results showed the general superiority of collaborative tasks that both facilitate critical testing and require rules; task designs deploying one feature…

Identified factors associated with learning mathematics in groups with computers. Subjects were 8 groups of 6 students, ages 9 to 12 years, using LOGO. Analysis of learning measures indicated positive gains resulting from groupwork, with no differences across gender or ability; analysis of process factors pointed to explanations for the differing…

Examines how problem solving in the domain of Mendelian genetics proceeds in situations where solvers' mental models are insufficient to solve problems at hand (model-revising problem solving). The study addressed the heuristics characteristic of successful model-revising problem solving and other aspects of student model use. (LZ)

Describes the three phases of the learning cycle (exploration, conceptual invention, and expansion) and explains how they can be used in educational assessment. The use of semantic mapping, concept mapping, and mental modeling in the evaluation of student learning is described. (PR)

Discusses computer programming and why it is important in library and information science (LIS) education. BASIC programming language is recommended as the most appropriate for LIS students, and an example is given of its use in a course at McGill University. (29 references) (LRW)

Reviews recent research related to metacognition and mathematical problem-solving performance. Offers suggestions for classroom activities to teach the skills of metacognition (i.e., plan, monitor, and evaluate thinking) in the context of mathematics. Offers instructor observations and students' self-evaluations about the types of metacognitive…

Metaphors are guiding images that influence one's approach to problem solving. Experiential learning is a process of metaphor change; the task of educators is to facilitate development of new metaphors that generate new potential when old metaphors don't work. Discusses stages of metaphor development, creating an open learning space, and…

A study of 261 New Zealand students (ages 6-15) investigating technological capability in undertaking technological problem-solving tasks determined that focus on end-product precluded students from fully considering processes to solve problems, that technological approaches were influenced by classroom culture, and that existing concepts of…

Suggests that the study of microdevelopment offers a potentially powerful way to relate learning and development where similar changes occur but in differing time frames. Microdevelopment analyzes short-term changes as developmental functions. Individuals and groups function at widely different developmental levels and grow in diverse nonlinear…

The perspective of communities as a situated context dates back to the works of Vygotsky (1978, 1981) who posited that cognition begins at the social inter-mental level and through the process of internalization meanings become translated or assimilated into the individual level. Within this social to individual transition, learners can be…

This paper reports research that focuses on student teachers' reflections on their learning process in a collaborative problem-solving context. One group of students with limited mathematical backgrounds worked on two problems in geometry without teacher intervention. We focus on two episodes from the group dialogues. In the first episode (section…