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)

This article describes a mathematical model that connects mathematics with social studies. Students use mathematics to model independent versus convoyed ship deployments and sinkings to determine if the British should have convoyed their merchant ships during World War I. During the war, the British admiralty opposed sending merchant ships grouped…

The purpose of this report is twofold. The first is to deliver an accurate portrayal of students' achievement in geometry and measurement as gleaned from the results of the 1986 Massachusetts Educational Assessment Program (MEAP). The second is to provide K-12 teachers of mathematics with activities that have proven to be helpful in encouraging…

This investigation analyzed sex-related and age-related differences on spatial visualization tasks, reasoning tasks, and mathematical problem-solving tasks; and the effects instruction in visual thinking would have on these differences. Students in fifth grade, ninth grade, and in college, were tested before and after twelve weeks of instruction…

This study assesses the effects of visual and verbal rehearsal on the problem solving efficiency of preschool children. The study examines the use of stimulus pretraining designed to induce verbal rehearsal and compares the effectiveness of induced verbal rehearsal with the effectiveness of induced visual rehearsal. Fifty-four middle class…

Deals with the issue of visualization as it is related to the learning of mathematics in multicultural classrooms. Discusses the importance and the role of visualization in multicultural classrooms. (YP)

A software package which can aid descriptive geometry instruction is described. Included are the features of the software and the software configuration. This software has been honored as the best and most advanced software of its kind in the People's Republic of China. (KR)

Students' reactions and performances were examined when taught engineering geometry concepts using a standard microcomputer-aided drafting software package. Two sample groups were compared based on their computer experience. Included are the methodology, data analysis, and conclusions. (KR)

Proposed is a hierarchy of visual learning giving three primary stages of visual learning as well as seven hierarchical stages. A clarification of terms associated with visual learning is presented. (KR)

An explanation of 3-D Computer Aided Design (CAD) usage to teach spatial geometry concepts using nontraditional techniques is presented. The software packages CADKEY and AutoCAD are described as well as their usefulness in solving space geometry problems. (KR)

A practical guidebook of ideas, lesson materials, and related resources for developing imaginative and productive thinking skills of children is presented to assist teachers and parents. Emphasis is placed on the use of strategies and techniques that enhance originality, mental imagery, reverie, reflection, humor, novel playfulness, and divergent…

Developed is an examination to determine a student's visualization capabilities. This examination has two versions, both developed to measure visualization ability, time to visualize, and reaction time. This test indicates the learner's ability to visualize complex three-dimensional objects from six principal views. Included are the results from a…

Described is a course that offers students the opportunity to learn the graphics language of computers in conjunction with the traditional engineering design graphics concepts. The course objectives, course description, course administration, and advantages to using the dual approach are included. (KR)

Describes four activities to develop visualization skills and the concept of dimensionality in which students (1) visualize transforming figures between the second and third dimensions; (2) identify the three-dimensional objects from their two-dimensional projections; (3) conjecture about the vertices, edges, and faces of zero- to four-dimensional…