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…

In this paper, I review both mathematics education and CSCL literature and discuss how we can better take advantage of CSCL tools for developing mathematical proof skills. I introduce a model of proof in school mathematics that incorporates both empirical and deductive ways of knowing. I argue that two major forces have given rise to this…

Describes initial encounter of a fifth grade student with Logo, a computer program language designed to develop in the user a knowledge of programing, geometry, arithmetic, and problem solving. A brief description of Logo, programing examples, and two references are included. (EJS)

Discusses author's adaptation of the computer language Logo as an aid in teaching college preservice education students programming, geometry, arithmetic, and problem solving. A description of how Logo works and an example of how "turtle geometry" can be used to help teach geometry concepts are included. Four references are listed. (EJS)