This facilitator guide is intended for use with a series of three videotapes designed to help teachers, staff developers, administrators, and teacher educators engage teachers in ongoing professional development supporting the implementation of a problem-based teaching approach in vocational education. The guide's introduction discusses the…

Activities which may be used to investigate a variety of woven patterns are presented. Pattern predicting and analysis of different patterns are discussed. A Basic computer program for the weaving code is given. (CW)

Algorithmic and investigative approaches to mathematics are compared and discussed. Their mutually contradictory spirit is explored. Examples of the application of each method to a mathematics problem are presented. (CW)

Discussed are the major historical developments of geometry. Euclid, Descartes, Klein's Erlanger Program, Gaus and Riemann, globalization, topology, Elie Cartan, and an application to molecular biology are included as topics. (KR)

Described are activities involving higher order thinking skills developed for gifted students that can be used for all students. Discussed is a framework for designing activities using Bloom's Taxonomy of the Cognitive Domain and William's Student Behaviors. Sample activities are included. (KR)

Discussed is the importance of incorporating calculators and computers into the primary grades. Number concepts, counting skills, place-value, basic operations, problem-solving, and higher order thinking skills can be reinforced by using calculators and computers along with manipulatives. (KR)

Presented is an activity in which students apply familiar concepts of geometry to novel settings. Using square dot paper and isometric dot paper, students trace routes and determine the geometry of each circle. (KR)

Presented are problem-solving experiences with area, volume, and algebraic expresssions resulting from data collection. Three worksheets are included for students in grades 7-12. (MNS)

Presents 5 activities for the K-1, 2-3, 4-5, 6-8 grade levels and for in the home in which students explore the concept of combinations. Each activity includes a lesson plan to investigate a combinatorics problem appropriate for that grade level. Provides reproducible worksheets. (MDH)

Middle-school students were asked to determine the dimensions of a hotel atrium so that guests could enjoy the maximum area of scenic view, given that 650 feet of brass railing could be used around each floor. Several solution approaches are described. (MKR)

Reports on how a school-university partnership used Virginia's Public Education Network to help third graders learn about metamorphosis in insects and the scientific method of experimentation, observation, and data collection. (MKR)

In this interdisciplinary unit for grade six, kids' natural fascination with heroes is channeled to a consideration of the values and actions needed to solve global problems. Students are exposed to positive, nonviolent role models, creative thinking, problem solving, and creating artwork that expresses thoughts on environmental issues. (LZ)

This empirical investigation, implemented with a computer program, examined the influence of graphical and numerical representations on the discovery process involving iteration sequence properties and concomitant problem-solving abilities for 79 eleventh grade students and 22 secondary mathematics teachers. Results indicate that heuristics and…

Presents a three-phase process that connects writing and cooperative problem solving to each other and to mathematical skills and concepts. The three phases are: (1) writing to communicate mathematics; (2) cooperative learning; and (3) problem solving. Provides examples illustrating each phase. (MDH)

Presents four cases of real-world probabilistic situations to promote more effective teaching of probability. Calculates the probability of obtaining six of six different prizes successively in six, seven, eight, and nine boxes of cereal, generalizes the problem to n boxes of cereal, and offers suggestions to extend the problem. (MDH)