Reported are the results of a study to ascertain if verbal, visual-spatial, and numerical abilities were related to the learning of function concepts when taught by instructional approaches thought to be consistent with these abilities. A secondary purpose was to determine the efficacy of these approaches at the eighth grade level. Three subtests…

This is the second half of the course described in SE 013 166. The chapter headings are: (10) Sample surveys; (11) Analysis of variance; (12) Use of analysis of variance for adjustment of data; (13) Exploratory data analysis; (14) Plotting and computing; (15) Logit regression for binary data; (16) Transformations and distribution-free inference;…

The last 13 of 32 exercises of a course designed to give a wide range of skills in deductive, inductive, and indirect methods of proof in geometry are presented. (MP)

It is shown that, by taking as the basis unit vectors along the sides of an equilateral triangle, certain isometric transformations can easily be determined in matrix form. (MN)

Computers can be programmed to produce increasingly complex line drawings. Through programming activities students can learn the geometric principles involved. (SD)

This paper examines how middle school students developed understanding of transformational geometry through design activities in Escher's World, a computationally rich design experiment explicitly modeled on an architectural design studio. Escher's World was based on the theory of pedagogical praxis (Shaffer, 2004a), which suggests that preserving…

These classic pattern blocks were introduced in the early 1960s as part of the Elementary Science Study materials developed by the Educational Development Center (EDC). The six classic shapes share one common characteristic: all of the angle measurements are multiplies of 30 degrees. Shapes include the regular triangle, square, and hexagon; the…

Teachers are encouraged to have pupils examine the symmetry of crystals when instruction is given on three-dimensional geometry and polyhedra. Crystals are noted to provide students with three-dimensional applications of transformational geometry, and the pupils also learn mineral identification. Suppliers of mineral models and specimens are…

An approach to the instruction of maxima and minima problems that works with tools of geometry and algebra is presented. The focus is on a classic pie-cutting problem, which is viewed as an interesting and instructive task that is an excellent application of transformation geometry. (MP)

In a classroom investigation of the teaching of transformation geometry, an attempt was made to generate aptitude-treatment interactions by using various teaching methods among groups of students. (CJ)

Presented is a method for solving certain types of problems, with the goal of piquing students' interest in studying affine geometry, which underlines the method. (MNS)

Focuses on the themes of self-image and change while interpreting video excerpts from two video cassettes that illustrate the excitement and problems of teaching mathematics. Excerpts involve concrete and abstract representations of transformations. (MDH)

This note, which is based on a final year project for a BSC degree, presents an investigation on the Olympic decathlon. It shows that the existing non-linear transformation which is used to assign points to athletes' performance gives practically identical results to that of a simpler linear one. In addition, the paper presents evidence to support…

This study investigated the ability of middle school children to perform Euclidean transformations mentally. The results indicated that the tasks were more difficult than Piagetian theory would indicate. (SD)

Two experiments investigated children's strategies for solving geometric matrices that were correctly or incorrectly completed and that varied in number of elements and number of transformations. Examining the relationship between working memory and item complexity, the first experiment tested 90 boys and girls of 7, 10, and 13 years of age for…