Presents activities to visually explore the algebraic concepts of variable, constant, the distributive property, and combining like terms. Presents four transparencies that use visual models to understand exercises in students perform the same mental calculations on a number of their choice and obtain the same result. (MDH)

A proposition that 3-D CAD provides an array of unambiguous solutions to engineering problems is illustrated. This proposition assumes that engineering problems are conceived in parallel processing mode while they are solved in sequential processing mode. Circle construction analysis, parallel equidistant planes, and solid modeling are discussed.…

An approach to reduce the barrier between two-dimensional computer-aided drafting and three-dimensional constructive solids modeling is graphically illustrated. This process, or some derivative, encompasses a significant portion of the future direction for engineering graphics education. (KR)

Described is a pilot course which includes a designed set of exercises to instruct students in procedures for creating solid models. A detailed description and analysis of students' various approaches used in completing a final design project are included. (KR)

Describes an introductory graphics course developed to expose undergraduates in the use of computer-based graphics as both a problem-solving and communication tool within engineering, the sciences, and other technical areas. Discusses course strategy, classroom setup, course content, and various software packages utilized in the course. (Author/KR)

Provides illustrations, questions, and vocabulary to enable students to develop visual thinking skills through the study of architecture and its concepts. Seeks to help students gain a critical appreciation of the built environment and learn to use architecural terms and basic design principles to discuss architecture as a visual art form. (KM)

Investigates how different practice techniques (physical, mental, and alternating physical/mental) and aural knowledge of results improve the piano performance of 40 graduate and undergraduate music students. Reveals all three practice modes, especially physical practice, improved performance, whereas aural knowledge of results had little effect.…

This study of 78 prelingually deaf children (ages 6-13) who were educated orally found that children up to 9 years old seemed to process written words by means of visual codes. Older children tended to differentiate and preferred either a visual or speech-based strategy, with the latter associated with better reading performance. (Author/JDD)

Identified are three obstacles which students must overcome when examining and interpreting diagrams. The resources of the Geometric Supposer, a set of microcomputer tools designed to aid students, are outlined. The advantages of the use of this software are emphasized. (CW)

Utilizes the psychological and sociocultural components of a constructivist paradigm to provide a detailed analysis of how the cognitive constructions students make as they enumerate 3D arrays of cubes develop and change in an inquiry-based, problem-centered mathematics classroom. Describes the classroom work of three pairs of 5th-grade students…

Presents two empirical case studies concerning the role of individual differences in searching through a spatial-semantic virtual environment. Discusses information visualization in information systems; cognitive factors, including associative memory, spatial ability, and visual memory; user satisfaction; and cognitive abilities and search…

This instructional design looks at momentum in physics through railroading, to assist students in developing appropriate mental models that will enable them to solve problems relevant to the process or principle being taught. A PEAnet (process, entity, activity network) relationship enables an instructional visualization (simulation) in which…

This article tells the story of Darrell, a lively, intelligent boy who has some learning disabilities. Although his parents are educators and are highly committed to advocating for Darrell, for most of his elementary school years, they were unable to succeed in providing Darrell a mathematics education equal to his regular education peers.…

In this article, we present CTRL_SPACE: a design for a software environment with companion hardware, developed to introduce preliterate children to basic computational concepts by means of an animatronic face, whose individual features serve as an analogy for a programmable object. In addition to presenting the environment, this article briefly…

Traditionally, educational institutions have relied heavily on the use of tables and graphs to analyze and present enrollment data. However, in dealing with information that has a spatial component (such as enrollment data), graphs and tables are often insufficient for communicating the spatial dimension. An effective way to add this extra…