Boundary value problems (BVPs) for partial differential equations are common in mathematical physics. The differential equation is often considered in simple and symmetric regions, such as a circle, cube, cylinder, etc., with global and separable boundary conditions. In this paper and other works of the authors, a general method is used for the…

The history of formal mathematical proofs is sketched out, starting with the Greeks. Included in this document is a chronological guide to mathematics and the world, highlighting major events in the world and important mathematicians in corresponding times. (MP)

Presents a process model developed for interaction and mathematical level raising focusing on the individual learning process and relates this model to research. The model is meant to show how level raising can be realized by allowing students to work in small groups on a mathematical problem. Contains 24 references. (Author/ASK)

Presents an interview with Erno Rubik, creator of "Rubik's Cube." Included are comments about the creation of the cube and the role of the cube in educating people, especially in problem-solving activities. (JN)

Since the mid-1960s a new approach has dominated American research in the area of mathematics education -- information-processing theory. The author examines several examples of research in this new tradition and sketches the general features of an emerging information-processing psychology of teaching. Information-processing studies that employ…

Presented are four information bulletins produced by the ERIC Clearinghouse for Science, Mathematics, and Environmental Education in 1981. Bulletin 1 is concerned with various pieces of information related to citizen participation activities in which citizens interact with each other to get a response from the government regarding governmental…

Reports examples of the behaviors, including kinetic and vocal, used to facilitate problem-solving based on observations of four seventh-grade students. Discusses the use of the behaviors in problem-solving teaching. (YP)

Discussed is the meaning of the word "of" as is found in mathematical expressions that involve fractional numbers. The conceptual rather than numerical distinction is stressed. Teaching techniques regarding difficulties with this concept are suggested. (CW)

Ten papers are presented as a part of the celebration of the twentieth anniversary of the Science and Mathematics Teaching Center at Michigan State University, East Lansing. Titles of the papers are: (1) "Science and Mathematics Education: Retrospect and Prospect"; (2) "Developing Scientific and Mathematical Literacy Among Elementary and Secondary…

The purpose of this report is twofold. The first is to deliver an accurate portrayal of students' achievement in geometry and measurement as gleaned from the results of the 1986 Massachusetts Educational Assessment Program (MEAP). The second is to provide K-12 teachers of mathematics with activities that have proven to be helpful in encouraging…

Reports unique solutions given to five problems from individual students in mathematics courses for prospective elementary school teachers oriented toward problem solving. Concludes that such courses are feasible, promote problem-solving abilities and strategies, and develop appreciation and confidence in preservice teachers. (MDH)

Presented is an account of a day-and-a-half seminar which was held for selected mathematics educators from six states. It was sponsored by the Regional Exchange (RX), a National Institute of Education (NIE) dissemination project headquartered at the Southwest Educational Development Laboratory (SEDL). The seminar had two important purposes: (1) to…