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)

Discusses the rationale and use of problem fields which are sets of related and/or connected open-ended problem-solving tasks within mathematics instruction. Polygons with matchsticks and the number triangle are two examples of problem fields presented along with variations in conditions that promote other matchstick puzzles. (11 references) (JJK)

Indicates that utilizing calculators to introduce algebraic concepts in a prealgebra course provides students with a solid foundation for the study of college mathematics. Pedagogical criteria emphasized the difference between exact and approximate results, appropriate use of the calculator in problem solving, the role of estimation in…

Concrete experience should be a first step in the development of new abstract concepts and their symbolization. Presents concrete activities based on Hyde and Nelson's work with egg cartons and Steiner's work with money to develop students' understanding of partitive division when using fractions. (MDH)

Presents a series of activities developed from the "Arithmetic Teacher's" regular feature entitled "Problem Solving: Tips for Teachers" to help students develop skills in each of the four steps of Polya's problem-solving process: (1) Understanding the Problem; (2) Making a Plan; (3) Carrying Out the Plan; and (4) Reflecting…

Presents three stories from mathematics history that can be integrated into classroom teaching: (1) the account of how Eratosthenes measured the circumference of the earth to discuss the concept of units in measurement, (2) ideas from Archimedes, Vite, and Descartes to introduce pi, and (3) the discovery of the Cardanic formula as an example of…

Describes a qualitative study that explores students' perceptions of their own learning. Document review, participant observation, and open-ended interviews were used to gather and triangulate data. Factors that were perceived as helpful were woven into a theoretical model. The uses of the model are discussed. (Author/KR)

Discusses historian Henry Adams' disillusionment with the educational system and with his own teaching. Suggests improving history instruction by involving students more actively in learning. Proposes incorporating interactive learning strategies including (1) interactive lectures; (2) questioning; (3) small groups; (4) critical thinking and…

Discussion of technological innovations in education focuses on the potentials of the microcomputer as a classroom instructional method. Programing, computer literacy, software applications, and problem solving are suggested as ways to incorporate computers into the curriculum, and examples of applications of computers in elementary and secondary…