Twelve middle school students, working in pairs, used a computer microworld to explore introductory geometric transformational concepts. Despite a tendency for symbolic overgeneralization, the students were able to use visual feedback from the microworld and discussions with partners to correct their own mistakes. (Author/JJK)

The purpose of this study was to examine the effects of three instructional methods and conceptual systems orientation on achievement in a freshman general chemistry laboratory course. Traditional approach, learning cycle, and computer simulations are discussed. (KR)

One class of interactive, computer-based learning environments (microworlds) for the exploration of school mathematics (and science) entails the incorporation of appropriate concepts within the engaging context of self-directed discovery learning. The objective of this research was to investigate and describe in detail the constructive learning…

Described is the attempt to identify relationships between pedagogy and student behavior in a mathematical microworld. The patterns of teaching associated with LOGO-based computer activities involving ratio and proportion and the teachers role in helping students bridge the gap between LOGO- and school-mathematics practices are explored. (MDH)

Offers LOGO as an environment that facilitates the development of cognitive strategies useful in problem solving. Presents LOGO activities requiring students to combine preprogramed procedures to produce worksheet patterns. Using this approach promotes using LOGO as a vehicle for problem solving and results in a more positive attitude toward LOGO.…

Used 2 12-year-old children to investigate deductive and inductive reasoning in plane geometry. A LOGO microworld was programmed to measure distances and turns relative to points on the plane. Learning environments like this may enhance formation of inductive geometrical understandings. (Contains 44 references.) (LDR)

Discusses and provides sample lessons of learning by discovery and weekly problem sets, which are presented as alternative methods for teaching college calculus. Both approaches stress conceptual understanding and guide the students to explore the ideas of calculus in small groups in a computer laboratory setting. (JJK)

This study was designed to determine students' abilities and difficulties in articulating the relationship between function and derivative. High-school students were presented 15 problems during two 75-minute interviews in which they were asked to construct functions experimentally in three different contexts: motion, fluids, and number-change. In…

Presents activities employing LOGO to help create situations that enable students to make meaningful cognitive connections while exploring mathematical relationships. Activities explore the concepts of angles and rotations, progressing from off-line to on-line activities with suggested extensions. (MDH)

This paper presents a research study of children using on-screen manipulatives (objects represented graphically on the computer screen) in learning mathematics. The paper begins by offering the rationale for the use of manipulatives in mathematics education, an assessment of why manipulatives are not more commonly used in schools, and a discussion…

This paper examines a range of studies done on the "Geometric Supposer" software and its use since the mid-1980s. It describes how the "Geometric Supposer" is a response to the call for reform by the mathematics community to create classroom environments that allow students to construct their own knowledge. This approach to…