Poisson integral formula is revisited. The kernel in the Poisson integral formula can be derived in a series form through the direct BEM free of the concept of image point by using the null-field integral equation in conjunction with the degenerate kernels. The degenerate kernels for the closed-form Green's function and the series form of Poisson…

This classroom note presents a final solution for the functional equation: f(xy)=xf(y) + yf(x). The functional equation if formally similar to the familiar product rule of elementary calculus and this similarity prompted its study by Ren et al., who derived some results concerning it. The purpose of this present note is to extend these results and…

In this note, the author considers a class of infinite series and shows that these are equivalent to a number of definite integrals, some of which are improper integrals. By using Taylor's theorem in this equivalence the author establishes convergence of each series, and a means of evaluating the sum of the series and the definite integral to any…

Students analyze a photograph to solve mathematical questions related to the images captured in the photograph.

An explicit formula is established for the general solution of the homogeneous non-autonomous linear difference equation. The formula developed is then used to characterize globally periodic linear difference equations with constant coefficients.

In this paper we discuss a study that looks at the kinds of practices that Latino parents use to support their children's learning of mathematics. Some of our findings reveal that parents react to their children's mathematics education looking back to their own experiences as students. Thus, in some cases, they are faced with pedagogical…

Annotated listing of research summaries, articles, and dissertations in mathematics education research reported in 1992. Grade or age levels are indicated for each citation. Articles and dissertations are indexed by mathematics education topic. Includes a list of the journals searched. (MDH)

Reported are two separate but related longitudinal studies of two variables strongly associated with sex-related differences in mathematics achievement and enrollment, namely spatial visualization and confidence in learning mathematics. First, boys (N=33) and girls (N=36) in grades 6-8 who were discrepant in their spatial and verbal skills were…

Activities were provided for a target group of third grade students who were experiencing difficulty in mastering the skills required to solve problems involving money. The program's aims were to remediate these students by giving them the opportunity to use instructional software that would increase their mathematical vocabulary, strengthen the…

This handbook is intended to contribute to the development of a theory of remedial instruction that can be easily understood and assimilated by teachers. The document evolved from research and workshop activity over a period of several years. It is designed for use by those with instructional or supervisory reponsibilities in elementary schools,…

This publication is a compilation of abstracts and critical comments for 12 published investigations in mathematics education. Information for each study includes: purpose; rationale; research design and procedures; findings; and interpretations. For each study also, abstractor's comments provide a brief critique. The 12 studies are: (1)…

This book contains 15 chapters: (1) "Teaching Problem Solving"; (2) "Using Calculators and Computers in Elementary School Mathematics"; (3) "Organizing for Instruction"; (4) "Teaching Numeration of Whole Numbers"; (5) "Teaching Numeration of Common and Decimal Fractions"; (6) "Teaching Addition and Subtraction of Whole Numbers"; (7) "Teaching…

This handbook has been structured to provide teachers (K-2) with the most recent research on problem solving. It contains information and practical applications which deal with the key concepts of problem solving in mathematics. The handbook consists of four sections. The first section establishes the background and gives the purposes of the…

One of the strengths of the Pennsylvania Council of Teachers of Mathematics (PCTM) is that it gives mathematicians and mathematics educators the opportunity to exchange and contribute to each other's professional growth. The topic for this 1985 yearbook, the first of a proposed ongoing series, has been chosen to coincide with the annual PCTM…

This publication is an abstracted compilation of 11 investigations. The information includes purpose, rationale, research design and procedures, findings, interpretations, abstractor's comments, previous research, procedure and statistical methods, and further research. Contained within are: (1) "Gender-Based Differential Item Performance in…