An algorithm is described for generating smooth curves of first-order continuity. The algorithm is composed of several cubic Bezier curves joined together at the user defined control points. Introduced is a tension control parameter which can be set thus providing additional flexibility in the design of free-form curves. (KR)

The focus of this article is on how computer graphics can be integrated throughout the engineering graphics curriculum to increase visual perceptual skills. Visual perception is defined, the need to develop it is described, and methods which engineering graphics educators can use to develop it are outlined. (KR)

Taking advantage of the convergence of technology and new insights of teaching and learning, the Ministry of Education of Malaysia has implemented a new educational reform primarily to revise the current curriculum, establish new learning standards, and incorporate the use of technology as an integral part of the learning process. This new…

A study was conducted at the University of Maine at Orono (UMO) to examine gender differences with respect to mathematical problem-solving ability, visual spatial ability, abstract reasoning ability, field independence/dependence, independent learning style, and developmental problem-solving ability (i.e., formal reasoning ability). Subjects…

Hierarchically organized knowledge about actions has been postulated to explain planning in problem solving. Perdix, a simulation of problem solving in geometry with schematic planning knowledge, is described. Perdix' planning knowledge enables it to augment the problem space it is given by constructing auxiliary lines. The planning system also…

Noting that assumptions about the teaching and learning of early childhood mathematics have changed substantially since the 1970s, this chapter examines recent research that may inform curriculum development in early childhood mathematics. The chapter begins with a consideration of the theoretical perspectives for defining an appropriate…

This study demonstrated an aptitude-strategy interaction in linear syllogistic reasoning; specifically, that the efficiency of each of four alternative strategies for solving linear syllogisms would depend on subjects' verbal and spatial abilities. The four strategies, as well as research methods in aptitude-treatment interaction, are discussed.…

Described are the results of a spatial skills test designed to assess processing from 2-D to 3-D, 3-D to 2-D, and orientation. Results indicated that different aspects of spatial ability did not develop at the same rate, and the 3-D to 2-D skill took the longest to develop. (CW)

Investigates gender differences and the role of spatial visualization in problem solving in high school geometry. Reports that, whereas males and females differed in spatial visualization and in their performance, they did not differ in logical reasoning ability or in their use of geometric problem-solving strategies. (Author)

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)

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…

Online searching is a complex problem solving task requiring the searcher to combine multiple sets into Boolean expressions. Since spatial ability has been correlated with problem solving tasks which involve abstract conceptual associations, this report argues that it is a significant factor in the information user's ability to both comprehend and…

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…