Mathematics word-problems continue to be an insurmountable challenge for many middle school students. Educators have used pictorial and schematic illustrations within the classroom to help students visualize these problems. However, the data shows that pictorial representations can be more harmful than helpful in that they only display objects or…

Transferring the skills learned in mathematics to other contexts is a problem for many students. A new heuristic model of mathematics instruction is proposed. The model would guard against the adoption of mistaken assumptions about mathematics and foster the learning of problem-solving strategies. (VM)

Discusses research involving instruction to help students develop their mental managerial processes or metacognition, the role of a framework for problem-solving activities, the teacher as model or moderator, problem solving involving groups or pairs, and weaving writing into problem solving. (Contains 18 references.) (MKR)

Suggests that children enter school with a great deal of informal intuitive knowledge of mathematics that can serve as the basis for developing much of the formal mathematics of the primary school curriculum. Describes a research-based model of children's thinking that teachers can use to interpret, transform, and reframe their informal or…

Provides a rationale for a learning environment in science classrooms that integrates science, mathematics, and technology while solving authentic problems. Describes activities that can be used in such an environment and presents data regarding students' attitudes toward the described activities. (MDH)