Investigates the development of shape concepts within an instructional unit on geometric paths, including the role of noncomputer and computer interactions in that development. Concludes that the computer environment and the activities facilitated students' development of their conceptualizations of the properties of geometric shapes and their…

Presents a study on calculus reform that examines how instructional approaches that place different emphases on the use of technology and multiple representations impact undergraduate calculus students' ability to use and understand connections between different representations of concepts. Compares three courses--traditional calculus, calculus…

Discusses the issue of proof in school geometry and views dynamic software as an excellent tool for exploration in geometry classes, mathematical practice, and for helping students see that a theorem is true. Argues that justification without proof would be untrue to the theory and practice of mathematics. Contains 32 references. (ASK)

Presents a historical review of technology-based computer program development and research in mathematics for special education. Discusses two themes: the consistent focus on mastering computational algorithms and the use of technology both as a teaching tool and as a means of guiding teacher behavior. Contains 81 references. (MKR)

Shows that graphs can reveal much about feedback systems that formula conceal, especially as microcomputers can provide complex graphs presented as animations and allow students to interact easily with them. Describes feedback systems, evolution of the system, and phase diagram. (YP)

Describes a form of adaptive communication, referred to as single switch technology, as a method for assessing and developing mathematics skills of speech and motor disabled students. Provides a BASIC program to illustrate a basic single switch mathematics program. (MDH)

Discusses the use of the computer to encourage a versatile approach to learning involving both symbolic/logical and visual/holistic types of mental activity. Provides experimental data showing the effect of an enhanced Socratic mode of teaching. (YP)

Reports on research designed to systematically examine how the use of personalized word problems as practice examples would affect learning and attitudes. A computer program was used to generate the problems. It was concluded that presenting problems in familiar contexts made materials more interesting and understandable for students. (PK)

Discussed are possible reasons behind the inconsistencies in the learning of calculus. Implicated are students' beliefs, mathematical paradigms including concept image and concept definition, language use, and curriculum sequencing. (KR)