This study explored the development of student's conceptual understandings of limit and derivative when utilizing specifically designed computational tools. Fourteen students from a secondary Advanced Placement Calculus AB course learned and explored the limit and derivative concepts from differential calculus using visualization tools in the…

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…

Two issues of the Soloworks newsletter contain information about the Soloworks project, computer equipment, and the educational philosophy that underlies the student-controlled computer based approach to secondary school mathematics instruction. (JY)

The use of microcomputers to aid geometry instruction is emphasized through discussion of a program written in BASIC which provides for experimenting with polynomial curves. The program listing is included. (MP)

The LOGO programing of 30 ninth graders was analyzed from 3 theoretical perspectives: the van Hiele levels, the Structure of Observed Learning Outcomes taxonomy, and Skemp's model of mathematical understanding. Results indicate that success in LOGO programing appears necessary but insufficient for success with the geometric aspects of the analyzed…

This is the first of a two-part series on the general concept of vector space. Provides tool procedures to allow investigation of vector properties, vector addition and subtraction, and X and Y components. Lists several sources of additional vector ideas. (JM)

Description of the field of robotics and its possible use in high school computational geometry classes emphasizes motion planning exercises and computer graphics displays. Eleven geometrical problems based on robotics are presented along with the correct solutions and explanations. (LRW)

Argues that students should have dynamic perceptual experience with the concepts central to circular functions. Includes a computer program, designed for Apple II, to provide such experience. (PK)

Discusses the use of computer graphics to introduce the concepts of derivative and tangent line using the iteration of functions, especially linear functions. (MKR)

Presents a method of viewing the reflective properties of the parabola and ellipse. Reinforces previously studied concepts of mathematics useful for individual or classroom projects. (PK)

Provides examples from elementary mathematics principles which illustrate some of the advantages of an interactive mouse-driven animation. Explains the effectiveness of this approach with exercises dealing with a plane of waves and quadratic formulas. (ML)

A developmental curriculum project is summarized which investigates the feasibility of using the PLATO computer assisted instruction (CAI) system to assist in the presentation of material in a geometry course which requires pictorial responses by the student. Geometrical concepts such as congruence, symmetry, perpendicularity, parallel, triangle,…

Reviews for three software packages are given. These include "Equation Math," consisting of three programs for exploring graphs of the equations; "Recycling Logic," instructing students in the basics of reasoning; and "Turboplot-3D," intended for university-level mathematics, physics, engineering, and computer courses. (PK)

This book discusses four kinds of graphs that are taught in mathematics at the middle school level: pictographs, bar graphs, line graphs, and circle graphs. The chapters on each of these types of graphs contain information such as starting, scaling, drawing, labeling, and finishing the graphs using "LogoWriter." The final chapter of the…