Described are a discrete group of isometries that fix a line but do not stabilize a point. Each type is accompanied by an example of their representation in concrete form which served as material on which young children could operate. Pupil responses to each situation are provided. (CW)

Describes activities for developing pattern recognition and classification using worksheets. The objectives, directions, extensions, and bibliography are provided for each activity. (YP)

Preschool, kindergarten, and first-grade Brazilian children who performed well on an easy rhyme-categorization task were given a second such task that seemed to require some analytical ability to perform successfully. Results suggest that children's rhyme detection does not involve attention to word segments but a sensitivity to some sort of…

Several models of information integration are developed and analyzed in the context of a prototypical pattern-recognition task. Evaluation, integration, and decision-making processes are specified for each. Simulations and predictions are carried out to provide a measure of identifiability or extent to which they can be distinguished from one…

Artificial neural networks (ANN), part of artificial intelligence, are discussed. Such networks are fed sample cases (training sets), learn how to recognize patterns in the sample data, and use this experience in handling new cases. Two cognitive roles for ANNs (intelligent filters and spreading, associative memories) are examined. Prototypes…

Discusses that Gestalt principles are especially well suited to teaching music. Identifies the laws of proximity, similarity, common direction, and simplicity in the notation system. Suggests that music teachers use these principles by following a logical progression to teach students to improve musical skills, solve problems, and think in…

Presents responses to the pattern problem that appeared in the November 1998 "Problem Solvers" section of this journal. (ASK)

Reviews an alternative patterning approach and highlights the difficulties it can present when students lack the requisite skills and knowledge of processes. Describes how this approach can be used to introduce elementary algebraic ideas and offers recommendations for establishing these important understandings. (ASK)

Latent growth curve modeling provides a powerful and flexible tool for researchers to study individual differences in change as well as the correlates and predictors of change. Recent developments in estimation and hypothesis testing procedures are largely based on confirmatory structural equation approaches. In this article, an alternative…

Past research demonstrates that the estimated size of the federal government earnings differential shrinks substantially with the addition of detailed occupational controls. Possible explanations for this reduction are: controlling for the differing sectoral distributions of common occupations, and controlling for detailed occupations unique to…

Officials at the Carnegie Foundation for the Advancement of Teaching changed the system that had been used to classify institutions of higher education in 2000. Part of the redesign was a change in the criteria for placement of doctoral degree granting institutions. Especially noteworthy was the removal of specific levels of research funding as a…

Purpose: In recent years a significant number of intellectual capital (IC) metrics has been developed and applied in many organizations. However, there is still a strong need to specify the relations among the different categories of intellectual assets that exist in the context of small to medium-sized enterprises (SME), and to determine the way…

This paper is concerned with the use of spreadsheets within mathematical investigational tasks. Considering the learning of both children and pre-service teaching students, it examines how mathematical phenomena can be seen as a function of the pedagogical media through which they are encountered. In particular, it shows how pedagogical apparatus…

Several math activities designed to teach patterns which can be found in arrays of 16 squares organized into a four-by-four pattern are presented in this issue of "Student Math Notes." The activities include: (1) determining how many squares and rectangles are contained in a four-by-four array; (2) figuring out the least number of lines…

Upper-level secondary students investigated square and triangular numbers and Pythagorean triples using computers. (SD)