Developing a software environment to enhance 3D geometric proficiency demands the consideration of theoretical views of the learning process. Simultaneously, this effort requires taking into account the range of tools that technology offers, as well as their limitations. In this paper, we report on the design of Virtual Spaces 1.0 software, a…

Mathematical knowledge can be categorized in different ways. One commonly used way is to distinguish between procedural mathematical knowledge and conceptual mathematical knowledge. Procedural knowledge of mathematics refers to formal language, symbols, algorithms, and rules. Conceptual knowledge is essential for meaningful understanding of…

Discusses the differences between mathematical constructions and drawing, offers tips for emphasizing construction, and discusses appropriate constraints of constructions. (MKR)

Trends in computer programing language design are described and children's difficulties in learning to write programs for mathematics problems are considered. Languages are compared under the headings of imperative programing, functional programing, logic programing, and pictures. (DC)

Provides a lesson that focuses on three-dimensional graphing, contours, and topographical maps using computer spreadsheets. (ASK)

Described is the notion of multiple alternative representations of mathematical reasoning, particularly as they relate to algebraic notation and the potential of computers to change representations. Features of a desirable notation for algebraic problem solving are described. This is followed by a description of the RAND Corporation's intelligent…

Discussed are the use of spreadsheets for demonstrating and exploring with the whole class, basic and advanced spreadsheet operations, geometric progressions, and graphing. Teacher responses to these methods are described. (CW)

Described is a short program for teaching and learning about geometric transformations. The integration of geometry problem solving and BASIC programing is discussed. Applications of computer graphics are illustrated. (CW)

Specific programs and software resources are described in this report on function plotters to be used in secondary mathematics instruction. Products are entered in alphabetical order and the following information is provided for each package included: (1) producer; (2) hardware needed; (3) required peripherals; (4) grade level; (5) price; (6)…

Reviews four software packages available for IBM PC or Apple II. Includes "Graphical Analysis III"; "Space Max: Space Station Construction Simulation"; "Guesstimation"; and "Genetic Engineering Toolbox." Focuses on each packages' strengths in a high school context. (CW)