Develops two-dimensional descriptions of degenerate transformations using elementary matrix algebra. (RS)

The oblimax, promax, maxplane, and Harris-Kaiser techniques are compared. (Author)

These exercises explore both square and nonsquare rhombi constructed on dot-paper grids. The materials are designed to provide reinforcement of geometric concepts, construction of figures from their symmetric properties, and discovery of figures related to each other by transformations. Student access to geoboards is encouraged as helpful. (MP)

Adults' geometric analogy solution was investigated as a function of systematic variations in the information structure of items. Latency data from verification of true and false items were recorded. A model incorporating assumptions about the form of item representation, working memory factors, and processing components and strategies was…

A program designed in BASIC for the Apple II computer that uses high resolution graphics to display geometric transformations is described. The four distance-preserving transformations included are translations, rotations, reflections, and glide-reflections. Shape-preserving dilations are also covered. (MP)

As a part of the investigation into children's understanding of mathematics undertaken by the Concepts in Secondary Mathematics and Science (CSMS) project, students in English secondary schools were given a class test on transformation geometry. This is a discussion of the results of the third-year sample, who were about 14 years old. (Author/MK)

Considers the reflections of the graphs of a function through an arbitrary line. Determines whether the result is a function and which functions are reflected on to themselves through a given line. (YP)

Multivariate distributions are studied in which all bivariate regressions can be linearized by separate transformation of each of the variables. A two-stage procedure, first scaling the variables optimally and then fitting a simultaneous equations model, is studied in detail. (SLD)

Presents an activity on transformations that employs a story from children's literature. Emphasizes that books and stories that use mathematical problem solving not only engage children in the narrative but also give them opportunities to see how mathematics is used in everyday life. (ASK)

The logarithmic transformation is a commonly applied procedure in regression analysis when two or more variables have a nonlinear relationship. When the response variable is logarithmically transformed, confidence intervals for conditional means and predictions may actually be wider than their counterparts obtained from the model with the original…