Discusses several themes that are basic to thinking about the potential impact of technology on learning. These include learning by doing, enhancing students' abilities to play with ideas, students' mental processes of reasoning and problem solving, and motivating students to learn. (CT)

This paper, presented at a conference on pedagogy at Chichester, England, argues that overemphasis on expository verbal learning in teacher education is deleterious to student learning. Instead, teacher educators should develop conceptual learning and problem-solving abilities, drawing on educational psychology for an inquiry-oriented approach,…

Summarizes experiments indicating that a basic key to learning is the development of concepts of pattern recognition and the appropriateness of using a particular theorem. (Author/SK)

Explored the performance of primary school children in Logo programming tasks while they worked in one of three gender pairs (girl, boy, or boy-girl). Found no considerable differences in performance based on gender. Results suggest that what distinguished performance was the application of metastrategic processes--the most effective solutions…

Examines the importance of learning environments as sites for change in science education, describing work with elementary teachers in which researchers are designing learning environments featuring guided inquiry. After explaining how to plan and enact guided inquiry instruction in science, the paper reflects on experiences implementing it in…

Abstract ideas in linear algebra are illustrated at different levels of difficulty through the investigation of the solution to a well-known puzzle. Matrices are used to model the puzzle and the concepts of rank, underdetermined systems, and consistency are employed in the solution to the problem. (MDH)

Presents the problem of finding the maximum area of a quadrilateral when three of the four sides are given. Incorporates several parts of the secondary school precalculus curriculum into the solution. Develops the formula to solve the problem. (MDH)

Examines the problem of determining the minimum center of mass for a can with a varying height of liquid in it. Uses PC SOLVE computer software to graphically represent the problem situation. (MDH)

Investigates the question concerning the maximum number of lines of symmetry possessed by irregular polygons. Gives examples to illustrate and justify the generalization that the number of lines of symmetry equals the largest proper divisor of the number of sides. Suggests related classroom activities. (MDH)

Described is an activity that categorizes a two-digit number as "sneaky" if the continued process of taking the difference of the squares of its digits leads to a difference of zero. Other categorizations are determined by whether the difference process ends in a one-digit number or continues in a loop of numbers. (MDH)

Outlines a process-oriented approach to teaching movement and performance to young children. This approach applies a model, which stresses playing and problem solving and which focuses on the creative process rather than creation of a product, to the development of a method of teaching that encourages problem finding and problem solving. (MDM)

This paper describes student performance and beliefs regarding fractions resulting from a five-phase approach toward developing mathematical intuition via physical materials. Interviews with students using this approach and with students using a conventional textbook approach indicated significant differences in problem-solving abilities and…

Presents a study to determine whether computer use in guided-discovery learning episodes would enhance the problem-solving ability of secondary school students (n=147). Results indicate interaction between low- and middle-level students' mathematical achievement and treatment groups, while high-level students performed well regardless of approach.…

As vocational "shop" courses are being replaced by technology education, a woodworking class at Springfield (Pennsylvania) High School is thriving. It is the school's most popular course, with over 100 enrollees each semester. Students think critically, solve problems, and take pride in their fine craftsmanship. (MLH)