The purpose of this study was to explore students' mathematical practices while working on modeling problems using 3 interactive computer simulations. Three fifth grade students' interactions with computer-based modeling simulation were examined to identify how children defined and prioritized and coordinated variables and parameters in…

The correct use of visual perspective is one of the main reasons that virtual reality environments and realistic works of art look lifelike. Geometric construction techniques used by artists to achieve an accurate perspective effect were developed during the Renaissance. With the rise of computer graphics, translating the geometric ideas of 600…

Developing technology to help people teach and learn is an important topic in Human Computer Interaction (HCI). In this thesis we present three studies on this topic. In the first study, we demonstrate new games for learning mathematics and discuss the evidence for key design decisions from user studies. In the second study, we develop a real-time…

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…

Describes the use of computer graphics simulations to enhance student understanding of sampling distributions that arise in introductory statistics. Highlights include the distribution of sample proportions, the distribution of the difference of sample means, the distribution of the difference of sample proportions, and the distribution of sample…

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…

Illustrates how to use computer simulation models in statistics to study the quality of an estimation procedure and concurrently the subtle concepts of randomness and convergence. Special emphasis is given to the use of graphical representations. (MKR)

Everyone is familiar with the concept that the cube and octahedron, dodecahedron and icosahedron are dual pairs, with the tetrahedron being self-dual. On the face of it, the concept seems straightforward; however, in all but the most symmetrical cases it is far from clear. By using the computer and three-dimensional graphics programs, it is…

A computer program is presented which simulates the classical probability machine, using Applesoft II high-resolution graphics. Many variables are left to the user's choosing. Suggestions for using the machine, understanding the problem, the mathematical model, and further program documentation are given. (MNS)

Although technological innovations have the capability to significantly change how scientific investigations are done and greatly enhance the teaching and learning of science, its use is no more effective than any other resource or innovation when researched-based effective teaching practices are not followed. This paper reviews established…

This guide lists 21 software packages considered to be worthy of further consideration by other reviewing agencies and schools by a group of 12 computer coordinators from educational software preview centers and evaluation agencies. These software products have been selected as not being likely to appear in the reviews produced by major software…

Hardware for computer-assisted learning is discussed in three papers. Two papers report on projects using computer graphics, one for teaching structural analysis to university students and the other to teach graph concepts at the secondary level. Guidelines for selecting microcomputers focus on analyzing applications and matching them with…

Discussion of the use of computers in education focuses on ways to teach with limited computer resources. Learning processes with computers are described, the teacher-student relationship is examined, and examples of instruction using only one computer are given, including simulation programs in physics and the use of spreadsheets in mathematics.…

Presents a tiling problem designed to be solved using the microcomputer, which will give students a context upon which to build meaning for the concepts of factors, common factors, and greatest common factors. (PK)