During the first 12 weeks of an applied calculus course, two classes of college students studied calculus concepts using graphical and symbol-manipulation computer programs to perform routine manipulations. Three weeks were spent on skill development. Students showed better understanding of concepts and performed almost as well on routine skills.…

A nonconventional graphical way to represent functions (the Parallel Axes Representation) is discussed. A computerized environment designed to support the exploration of the representation of linear functions is described. The didactical potential of this representation is illustrated. (CW)

Compared was the mathematical performance of secondary school students for whom a graphic calculator was a standard mathematical tool, with that of students of similar background without regular access to graphing technology. Increased achievement on symbolization tasks, especially for females, was shown for students who used the graphing…

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)

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…

The production and application of images based on fractal geometry are described. Discussed are fractal language groups, fractal image coding, and fractal dialects. Implications for these applications of geometry to mathematics education are suggested. (CW)

Computer graphing makes it easier for students and teachers to create and manipulate graphs. Scale issues are nearly unavoidable in the computer context. In interviews and protocol analysis with six students from grade 8, and 12 students from grades 11 and 12, it became apparent that some aspects of scale are clearly understood very early while…

Described is an investigation into how the use of LOGO programing language affects children's basic knowledge of an angle. Findings indicate that children make erroneous adjustments to their conceptual knowledge of angle to accommodate the results of acquired procedural interaction with the computer. (Author/CW)

Many organizations and experts in the field of mathematics education have recommended the inclusion of technology and, more specifically, computer programing within the course of study for the teaching of school mathematics. The incorporation of these recommendations with respect to the teaching of remedial mathematics poses a problem, since…

Presented are ideas for the utilization of Microsoft Works in the secondary mathematics classroom. The spreadsheet and graphing capabilities of this software package are demonstrated for several topics including the concept of slope for first year algebra, and creating and interpreting graphs for a general mathematics class. (Author/CW)

Discussed are three examples of computer graphics including biomorphs, Truchet tilings, and fractal popcorn. The graphics are shown and the basic algorithm using multiple iteration of a particular function or mathematical operation is described. An illustration of a snail shell created by computer graphics is presented. (YP)

This study investigated the effectiveness of LOGO's turtle graphics in both providing a model of systematic thought and in teaching simple geometry to young children in the second grade. The treatment given to 25 second grade students in the experimental group consisted of programming with LOGO's turtle graphics using four Apple II+…

A total of 59 papers are compiled into these proceedings. The papers are organized alphabetically by each author's last name. A directory of speakers' names and addresses is included. In the index of this publication, papers are listed by session. General sessions are listed first, followed by 21 regular sessions: (1) "Logo and Music";…

Examines current state of Logo programming language and research on Logo and presents conclusions about the efficacy of Logo as a research and teaching tool. Conclusions discuss use of Logo to teach computer literacy; transfer of training; representativeness and reliability of Logo research results; and Logo research methodology. (Author/MBR)

This study was conducted to determine whether young children, given the experience of Logo programming, would acquire problem-solving skills and be able to transfer those skills to other areas. The study also investigated Logo's effectiveness in teaching certain fundamental geometric concepts to children who were supposedly not developmentally…