Two studies to determine how students interact with two microworlds that reflect a constructivist view of learning investigated students' goals during interaction, strategies utilized to achieve their goals, changes in goals during interaction, and common patterns of interaction and learning. Concludes that well-designed games enable students to…

In summer 1990, Drexel University and Philadelphia School District collaborated on a five-week teacher-oriented university science course that emphasized an integrated approach to teaching mathematics and science in which elementary teachers link science and mathematics to students' everyday experience through hands-on activities. (IAH)

Presents activities for the K-2, 3-4, 5-6, and 7-8 levels focusing on the role of numbers and language in real-world situation. Students are asked to discuss, describe, read, and write about numbers they find in toy shops, the post office, in sports, and at airports. Provides appropriate worksheets. (MDH)

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

Described is an introductory probability and statistics class focused on teaching the concepts of sampling and binomial distributions through a strategy based on teacher and student generated simulation using the Boxer computer language. The value of integrating programing with teaching subject matter is demonstrated, and sample student work is…

Describes teaching packages which involve the use of audiotape recordings with personal computers in Open University (United Kingdom) mathematics courses. Topics addressed include software development; computer graphics; pedagogic principles for distance education; feedback, including course evaluations and student surveys; and future plans.…

Discusses results of an action research study of second-grade students' group work which indicated that, when students were not given sample solutions for problems, they were more likely to use higher order thinking, take ownership of strategies, discuss solutions longer, and be more accepting of other views. (MKR)

An urban teacher highlighted cost of living to make mathematics instruction more meaningful and help students develop problem-solving strategies. Sixth graders created and operated their own businesses in class, learning how to depend upon themselves and budget their money as they faced realistic problems with budgets, bills, and sales. (Author/SM)

Describes procedures needed to analyze large-scale databases. Presents two examples of how French educational researchers have utilized data from the International Association for the Evaluation of Educational Achievement (IEA) studies of mathematics and reading literacy. Includes one table and three figures illustrating these techniques. (CFR)

The teaching behavior and instructional methods of elementary school teachers were investigated to determine whether teachers with positive attitudes toward mathematics employ different methods in mathematics instruction than those with negative attitudes. Overall, teachers with negative attitudes employed methods that fostered dependency whereas…

Examples from related case studies illustrate possible consequences of a social constructivist approach to learning and teaching mathematics. Discusses student tasks that promote flexibility in mathematizing subject matter; constructive versus Euclidean geometry approaches; working with real-life mathematics problems; and product versus process…

Discusses how children's books can engage students in communicating mathematical ideas. Describes situations in which teachers use literature as a stimulus for thinking, listening, writing, speaking, and reading about mathematics. (12 references) (MDH)

The problem-of-the-week (POW) and problem-solving class openers are exemplified as methods for the integration of course-relevant problem solving into a first-year algebra classroom without sacrificing time spent on developing skills and learning concepts. Illustrated examples, as well as problem sources, are included. (JJK)

Examines students' (25 low achieving fourth graders) understanding of conceptual features of decimals. Assessment results indicated that students' thinking was influenced by the types of concrete materials used to represent decimals; that low achievers' understanding of some important properties of decimals increased; and that understanding grew…