Three activities which require a calculator with integer division capabilities are presented. In each activity, procedures and questions for discussion are included. Game boards, samples, and answers are included where appropriate. (CW)

One method of making magic squares using a prolongated square is illustrated. Discussed are third-order magic squares, fractional magic squares, fifth-order magic squares, decimal magic squares, and even magic squares. (CW)

That the principal axis theorem does not extend to any finite field is demonstrated. Presented are four examples that illustrate the difficulty in extending the principal axis theorem to fields other than the field of real numbers. Included are a theorem and proof that uses only a simple counting argument. (KR)

Presented is an example of a question that can be used to investigate probability and random triangles. Included is the question, analysis, and procedure for solving the question. (KR)

Described is a geometric view of Singular Value Theorem. Included are two theorems, one which is a pure matrix version of the above and the other that leads to the orthogonal diagonalization of certain matrices, i.e., the Spectral Theorem. Also included are proofs and remarks. (KR)

Described is a decomposition theory from which the Cayley-Hamilton theorem, the diagonalizability of complex square matrices, and functional calculus can be developed. The theory and its applications are based on elementary polynomial algebra. (KR)

Presents examples of activities and strategies that integrate different areas of the curriculum with social studies. Includes a method for improving student comprehension of text materials, activities for using textbooks as a teaching tool and for integrating data collection and analysis into social studies, and a technique for problem solving.…

There are several factors to consider when developing tasks to satisfy curricular objectives. Tasks can be written by teachers alone or by teachers and library media specialists collaboratively. Each task should have an authentic problem-driven purpose, be developmentally appropriate, have an intended audience, and introduce new concepts, content,…

Reports the results of a study that examined the patterns of interactions of high school student partners engaged in problem-solving activities while working through computer simulation activities in an astronomy lab. Observations, interviews with teachers and students, and a software program evaluation are discussed. (LRW)

Describes the Elementary Mathematics Research Model, which furnishes a vehicle for problem solving through real data collection and analysis. (MKR)

Dozens of Australian "laptop" schools are following the lead of Methodist Ladies' College (an independent pre-K-12 school) in personal computing and are using some of their pioneering professional development models, including in-classroom collaboration, "slumber parties," and build-a-book workshops. Guidelines for implementing…

Describes the use of the children's book "Geraldine's Blanket" to promote discussion and allow the teacher to assess the children's understanding of area, place value, number sense, fractions, and problem-solving strategies. (MKR)

Presents mathematics activities that give students in grades three through six practice in writing and problem solving by using the setting of a zoo or animal park. Includes reproducible student worksheets. (MKR)

Presents an assessment activity to determine the ability of students to devise a plan for solving a problem and recording their work while solving the problem. Uses the theme of planning and organizing a birthday party. (MKR)

Presents mathematical models to determine whether seven-game baseball playoff series are significantly fairer than five-game series. Compares the results obtained from the models to actual playoff results. (MDH)