Presents the results of a study focusing on comparisons between teachers using a conventional, formal, direct approach when teaching five-year old children mathematical skills ("Official" method) and teachers employing a more interactive, collaborative, supportive approach ("High Scope" method). Includes references. (CMK)

Four surface covering games are presented. These activities are designed to help children learn to develop mathematical theories. Directions for each activity and reproducible game boards are provided. Suggestions for the use of these games are given. (CW)

Presented is a method where a quadratic equation is solved and from its roots the eigenvalues and corresponding eigenvectors are determined immediately. Included are the proposition, the procedure, and comments. (KR)

Discussed is how a separable field extension can play a major role in many treatments of Galois theory. The technique of diagonalizing matrices is used. Included are the introduction, the proofs, theorems, and corollaries. (KR)

Presented are two exercises on the differential geometry of curves. A generalization dealing with smoothness conditions is given that relates the two exercises. Included are the definitions, theorems, propositions, and proofs. (KR)

Presented is a Poisson derivation using explicitly stated assumptions and exact functional equations. The assumptions are homogeneity, independence, and negligibility. Included are the derivations and proofs using L'Hopital's rule for each assumption. (KR)

Explored is an overdetermined system of linear equations to find an appropriate least squares solution. A geometrical interpretation of this solution is given. Included is a least squares point discussion. (KR)

Described is computational geometry which used concepts and results from classical geometry, topology, combinatorics, as well as standard algorithmic techniques such as sorting and searching, graph manipulations, and linear programing. Also included are special techniques and paradigms. (KR)

Described is the idea of set isometry as examples of Euclidean and non-Euclidean metrics. Included are examples in R squared, preliminaries, and extensions. (KR)

Presented are several models that seem to lead to a better understanding of axiomatics by students. These examples are more like real geometry than the usual examples. Included are the theorems, proofs, and graphs of the functions. (KR)

Presents problems focusing on multiple representations of a function to develop students' ability to translate tabular, symbolic, and graphical representations. Indicates needed materials, objectives, prerequisites, directions, and answers. (YP)

This study compared performance of 300 mildly handicapped and 300 nonhandicapped adolescents on the Florida State Student Assessment Test, Part II, a test measuring functional literacy in math and communication skills. Substantial differences indicate severe consequences for handicapped students forced to pass minimum competency tests to graduate…

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)

Discusses the differences between mathematical problem solving typically used in the classroom and problem solving that is a part of everyday situations out of school. Suggests some teaching methods to align classroom instruction with the real world. Seventeen references are listed. (YP)

Describes four activities designed to discover numerical patterns using a calculator or paper and pencil. Provides tables and figures for the activities. (YP)