Presents 5 school and home activities for the K-2, 3-4, 5-6, and 7-8 levels appropriate for beginning the school year that incorporate problem solving, collecting and analyzing data, and exploring patterns. Topics include a shopping spree, seat assignment, map-interpretation skills, and probability. Includes reproducible worksheets. (MDH)

Describes a problem to challenge students as they come back from summer vacation. Working in small groups, students discover Pick's Theorem, the formula to calculate the area of a polygon constructed on a geoboard. A writing assignment evaluates the students' efforts. (MDH)

Investigated why, contrary to expectations, group performance in a written test of problem solving was not better than individual performance. Examined protocols of students solving problems in groups and concluded that in much of the group discussion, students passed over right ideas in favor of simpler, but erroneous, ideas. (14 references) (MDH)

Describes "talk-through" model of peer teaching in which student pairs are asked to verbalize their thinking processes as they work through a mathematical problem. Lists five benefits of using this method. (MDH)

A case study is presented of a science class for 10 underachieving gifted intermediate grade students. The paper describes how a focus on overcoming underachievement might conflict with the need for active, hands-on science activities. Suggestions are offered for integrating the goals of raising self-concept while developing skills of inquiry and…

Discussed is the place and teaching of trigonometry in a NCTM Standards-based mathematics curriculum. Presented is how these standards can be implemented in a technology-rich environment that encourages reasoning, communication, problem solving, and confidence building. Examples focus on functions, graphical sense, modeling, and identities. (KR)

Presented is the development of school geometry in contemporary Greece since the era in which the secondary education system was established (1836). Identified and interpreted are the reasons for the endurance of Euclid's Elements as the basic component of school geometry in Greece. (KR)

The results of an experiment in teaching engineering graphics using the traditional lecture-homework-laboratory technique are compared to a newer lecture homework proposal. Although the newer method reduces professor-student contact, it may prove to be as effective as the older method requiring laboratory instruction. (KR)

Presented is a proposed formula for determining the bearing angle and the slope angle for the line of intersection using the strike and dip angles of two given plane segments. Included is the development of the formula and three example problems. (KR)

Two graphics interface packages, PHIGS and HOOPS, are examined. A comparison of the two packages is made in light of the Iowa State University College of Engineering's need for educational software. Conclusions based on programing experience using both PHIGS and HOOPS are presented. (KR)

Described is a study that used LOGO to improve the proportional reasoning ability of students enrolled in mathematics classes for students poorly prepared for college-level mathematics. Included are the methodology, procedures for using logo, and a discussion of the results. (KR)

Advocated is a participatory, problem-solving-oriented science education with a strong emphasis on the impacts of technology. Some of the insights and ideas that emerged through a Project 2061 Technology Panel Report are discussed. (KR)

A workshop is described in which students design various shapes from the basic rectangle. The polypopagon is used as an example of something that can be made out of simple, everyday materials yet be related to the greater, integrated enterprise of discovery and invention. Directions for making polypopagons are included. (KR)

Suggests that a discussion-based approach focused on experiences of actual environmental issues, encountered problematically, should characterize environmental education activities. An ecology exercise dealing with organic pollution of a river provides a context for the educational principles and ecological concepts included the study. (24…

The quadratic function can be modeled in real life by a suspension bridge that supports a uniform weight. This activity uses concrete models and computer generated graphs to discover the mathematical model of the shape of the main cable of a suspension bridge. (MDH)