This paper explores questions associated with chaos theory as it relates to problems in the arts. It reviews the work of several scholars including Minai, Eckersley, Pickover, the Kirsches, and the Molnars. The document directs special attention toward three basic areas in art and design education, which are: (1) the integration of the computer…

Surveys current research on learning and memory and associated brain functions. Suggests several models of olfactory recognition and memory. Explains several computer models being evaluated and lists possible flaws. Differentiates between noise and chaos in brain functions. Describes a challenge to the theory of chaos called adaptive resonance…

Predicts that the paradigms of chaos theory will rapidly move into the social sciences, resulting in major changes in educational research and the study of the curriculum. Discusses the need for new metaphors and paradigms in the social sciences. Briefly characterizes previous educational principles and approaches. (MJP)

Noting that the chance to utilize a new paradigm is an opportunity that rarely presents itself, this paper suggests that chaos theory and communication can be combined to help understand human communication. The paper begins by examining the complexity of human communication--that is, the internal and external factors that affect the complexity of…

The Golden Section as a concept and a term has had a long history in the arts as well as the sciences. It is one of those concepts that has undergone much recent research, which is presented as part of this review. The research is considered in relation to the design fields and to the creation of visual forms rather than aesthetic preference…

Deterministic chaos which involves orderly motion is discussed. Presented is the history of chaos and two tests for chaos. Practical applications and predictions of the long-term significance of chaos research are discussed. (KR)

Described are the idea of chaos and the ability to control the chaotic behavior of a real-world physical system. Included is an explanation of the methodology and applications in biology and chemistry. (KR)

Discusses the irregularity and unpredictability of the human body. Presented are pictures showing the fractallike structures and research findings on the mechanism for chaos in the human body. Lists four further reading materials. (YP)

Describes the underlying pattern that, once seen, will allow students to describe the shape of any hydrogen orbital. Involves the exponential form of the orbitals. Provides computer-generated plots of this concept. (CW)

The proceedings report is divided into four sections that include: (1) two invited lectures by Colette Laborde and James Kaput on the topics of students' reading and writing of mathematics and an allegory in which writing is introduced into a technology-based mathematical society; (2) working group reports on the topics of fractal geometry in the…

Reported is whether and how mathematics has changed during the 75 years of the Mathematical Association of America's (MAA) existence. The progress of mathematics is organized into 9 concepts, 2 explosions, and 11 developments. (KR)

Reports on study of use of fractal geometry in a computer graphics program to improve the perception of intermediate grade level students in their paintings. Finds that students are more likely to use changing shapes and colors after viewing slides of fractal computer graphics. Concludes that fractal computer graphics would make highly engaging…