Much has been said on matter of aesthetics and mathematics--perhaps most commonly articulated in relation to properties such as "beauty" and "elegance," which are used to distinguish good from not-so-good mathematical products. Despite its importance in the work of mathematicians, it has been argued that aesthetics cannot be incorporated into…

Reviews research describing computer functions of construction-oriented computer environments and evaluates their contributions to students' learning of geometry. Topics discussed include constructing geometric concepts; the use of LOGO in elementary school mathematics; software that focuses on geometric construction; and implications for the…

In early 2004, Cabrilog released version "II plus" of their interactive geometry package. According to the author, "Cabri Geometry II plus" is clearly a much more useful package than the earlier version. However, unlike other sophisticated applications packages, the designers have avoided creating so many options that secondary students lose their…

A computer language that can be used by people of all ages, Logo allows children the freedom to direct their own learning. Integrating Logo into the curriculum provides students the opportunity to program a computer, to engage in logical, sequential thinking and planning, to solve problems, and to manipulate text, language, graphics, and music…

We expand the theoretical perspective based on the notions of description and conflict, which was previously used to the learning of functions and calculus, to the learning of deductive geometry supported by Dynamic Geometry (DG) environments. Based on prior studies on functions and on the potential role of a DG software, we analyze a case study…

Relates one secondary geometry teacher's experiences learning and using the computer program "Geometer's Sketchpad." The article describes the program and provides examples of ways this teacher uses it in combination with more traditional teaching tools. (SM)

Discussion of the use of intelligent tutoring systems (ITSs) highlights the role of the teacher. Experiences at Gallaudet University with the Geometry Proof Tutor (GPT) are related, future expectations for ITSs are suggested, and an ideal intelligent instructional system is proposed that considers the social nature of education. (13 references)…

This literature review examines the contribution of the LOGO programming language toward facilitating elementary school students' learning and in promoting problem-solving skills. Topics addressed include positive and negative effects of LOGO use; LOGO theory and development; transfer of LOGO skills; and support for structured, teacher-mediated…

The LOGO subroutine turtle geometry and Euclidean geometry are compared with respect to their treatment of similarity and difference of plane figures. The problem and its proposed solution of introducing a FLIP operation are viewed briefly from the perspectives of mathematics, computer science, and education. (MDH)

Discussion of Logo use to teach children computer programing covers the educational theory behind Logo, how it differs from other programing languages, its educational promise, its graphics capabilities, Logo research, and different versions available. It is argued that educational computing will succeed only if it provides new ways of teaching.…

Reports 17 recommendations that focus primarily on curriculum in grades 11-13 for students who take a four-year college-preparatory program. Appropriate curricular patterns for students who are intending to pursue careers that depend on mathematics are indicated. (PK)

Argues that Turtle Geometry has a great deal to offer mathematics teaching and learning. Suggests that it helps develop general problem-solving strategies and encourages new approaches to teaching and learning. (PK)

Describes a study that investigated the effects of learner control and program control, and lean and full modes of instructional programs, on the achievement, use of options, time on task, and attitudes of high-ability and low-ability students from grades 9 and 10 during computer-assisted instruction. (LRW)