A problem-solving approach is developed for secondary or college students to estimate the number of piano tuners in a large city. The answer and method are analyzed for appropriateness. Four similar problems are suggested. (DC)

Teachers need to encourage wonder, curiosity, and speculation in their students, and in themselves, because these emotions form the wellspring of science and discovery. By limiting their curriculum to the known world and proven facts, teachers may stifle their students' curiosity about the unknown. (MDM)

Describes an activity in which students, grades 7-12, explore patterns and properties of repunits, an integer written as a string of ones. Includes extensions for exploring algebraic justifications. (MKR)

Explores families of parabolas that result from the graphs of quadratic functions. Computer software allows students to quickly depict a series of graphs and make conjectures about emerging patterns. Discusses cases in different parameters in the quadratic are varied to produce different effects in which the parabolas. (MDH)

Student research projects are open-ended questions or sets of questions intended to give undergraduate students experience doing introductory mathematical research. Proposed is an investigation of a Faro shuffle that is performed by cutting the deck exactly in half and then perfectly interleaving the cards of the two halves. (Author/JJK)

Surveys the politics and economics of networking and presents four general leadership strategies for making progress in the climate of change surrounding the developing National Information Infrastructure: (1) building the organizational information infrastructure; (2) emphasizing exploration and discovery; (3) cultivating relationships and…

Proposes a discovery system model to guide technology integration in academic libraries that fuses organizational learning, systems learning, and knowledge creation techniques with constructivist learning practices to suggest possible future directions for digital libraries. Topics include accessing visual and continuous media; information…

This article explores the work of theorist and philosopher Mikhail Bakhtin and acknowledges him as a new voice to social work. In a larger context his ideas can help the profession in the transition to postmodernity. In particular, the authors explore two of his key concepts--dialogue and carnival. (Author)

The Young Scholars' Program of the National Science Foundation is designed to stimulate and extend the interests in science and mathematics of students entering grades 7 through 12. An additional goal of the program is to encourage them to investigate and pursue careers in science, mathematics, engineering, and technology. The program strongly…

In the early 1970s, American educators commenced experiments on Suggestopedia. Educational psychologists enlarged upon the relaxation and visualizations contained in the Bulgarian method and provided a solid, statistical basis to Suggestopedic research. Part I of this paper discusses the contribution of Donald Schuster, and his development of…

When working against fragmentation in education, coherence must not be confused with consistency. While consistency implies logical relations and the absence of contradictions, coherence allows for many kinds of connectedness, including associations of ideas and feelings, intimations of resemblance, conflicts and tensions, and imaginative leaps.…

This lesson packet suggests ways for children to explore cultural change through studying technology used in the kitchen. Lessons include: (1) "Using Oral History as a Strategy"; (2) "The Test Kitchen"; (3) "Bread Making from Scratch"; (4) "Then and Now Kitchen Museum"; and (5) "Kitchen Mysteries."…

Adding to the benefits of using metaphors as tools, "analoguing" (a method of analysis that focuses on metaphors for meanings in use and meanings of metaphors in use) helps avoid excessive categorization and separation by looking for unities and patterns in phenomena rather than for divisions. Six months of observation of patterns of…

Many people are interested in computer aids to rhetorical invention and want to know how to evaluate an invention aid, what the criteria are for a good one, and how to assess the trade-offs involved in buying one product or another. The frame of reference for this evaluation is an "old paradigm," which treats the computer as if it were…

The contemporary mathematics program set forth in this publication developed as a result of experimentation and evaluation in classroom situations. This is Part 2 of "Mathematics: 8th Year." Part 1, a separate bulletin, was published during the school year 1967-68. The materials in this bulletin are intended to serve as guidelines for…