Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…

Describes activities that use the geometric construction capabilities of the Geometer's Sketchpad computer software to explore triangles. Topics investigated include angle measurement, the sum of the measures of the angles of a triangle and a five-pointed star, triangle classification, and area and perimeter of a triangle. (MDH)

Maintains that U.S. education should not be studied as a single entity. Interviews 44 students to understand how their learning experiences vary across the subjects of mathematics, science, English, and history. Finds that, although instruction revolves around the textbook, it is used differently in each subject. Discusses these patterns of use,…

Proposes three types of supplementary problems to develop students' skill in interpretation of graphically represented data. Eleven examples are presented and solved for the following types of problems: comparison of one quantity to another, comparison of two quantities that each depend on a common parameter, and reasonable data prediction. (MDH)

Presents activities for the K-2, 2-5, 5-6, and 5-8 levels that require students to analyze information graphically. Asks the students to discuss, describe, read, and write about the graphs and the information they contain. Supplies accompanying worksheets. (MDH)

Investigates effects of a manipulative instructional approach and traditional instruction on the achievement of subtraction facts for 4 African-American and 26 white second graders in a rural North Carolina school. Greater gains in achievement of subtraction basic facts occurred with the manipulative instruction approach. Implications for…

Examines the issue of how calculators and computers can best be used in mathematics education. Contends that practicing a procedure is noncognitive and does not produce learning. Suggests utilizing customized computerized tools in schools for getting answers to algorithmic problems instantly, thus allowing teachers to explain and students to…

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)