Two experiments investigated the process by which children encode briefly presented spatial positions. First, third, and fifth graders were asked to judge whether a test dot occupied the same position on a card as any one of a number of dots which had been presented tachistoscopically. (JMB)

This is the fourth in a series of articles introducing the recently initiated Activities Integrating Math and Science (AIMS) program for the development of a pattern-based mathematics/science curriculum. Discusses proportional relationships, proportional reasoning at the manipulative level, proportional reasoning expressed as written language,…

Thirty-six kindergartners were asked to respond to questions and construct figures designed to test their knowledge of hierarchical relations. Subjects had considerable knowledge of subset and superset classification, and could draw transitive inferences with little difficulty; however, they appeared to have little appreciation of the asymmetry…

Compared 24 month olds' ordered recall of events constrained by enabling relations with that of arbitrarily ordered events equated for familiarity and temporal invariance. Children's ordered recall of events constrained by enabling relations was superior to that of arbitrarily ordered ones, indicating that, after experience with an event in…

Postformal thinking concerns questions of meaning and purpose, multiple perspectives, human dignity, freedom, and social responsibility. Curriculum and instruction based on postformalism involves detecting problems, uncovering hidden assumptions, seeing relationships, deconstructing, connecting logic and emotion, and attending to context. (SK)

Infants were tested at 5, 8, and 13 months of age for numerosity perception. Subjects observed displayed figures on a screen moving at constant speed with irregular trajectories and occasional occlusions. Results demonstrated that discrimination of units, and not of characteristic patterns, underlies numerosity perception. (BC)

Two studies examined understanding of notational representation among 3- to 5-year-olds. Children solved problems when shown cards with a picture or word indicating identity or a quantity indicator. In the easier condition, children had difficulty solving the problems as a function of their familiarity with the notation, suggesting weaknesses in…

Uses colored cube combinations to investigate surface area, volume, and axes of symmetry. (ASK)

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…

The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the…

An algebraic development of the Fibonnaci sequence, appropriate for use in beginning algebra classes, is presented. (SD)

Most social work professionals take it for granted that the more training one has, the better one can do the job. But the authors' research on assessments by both MSW and BA candidates yielded results that could seriously question that assumption. (Author)

A puzzle involving computation and pattern observation is described. (SD)

A sixth-grade teacher reports an incident in which an average student discovered a complex relationship between equivalent fractions. (SD)