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…

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 study investigated the role of concurrent musical parts in pitching ability in sight-singing, concentrating on the effects of melodic and harmonic coherence. Twenty-two experienced singers sang their part twice in each of four novel chorales. The chorales contained either original or altered melody and original (tonal) or altered (atonal)…

This action research project on critical literacy in a high poverty area in Toronto, Canada becomes the practical backdrop for examining how critical literacy can be developed and applied in regular classroom situations. Educators identifying patterns within classrooms that prevent students from participating fully in all aspects of a democratic…

Unclear definitions and limited system-level assessment measures inhibit cultural responsiveness in children's mental health. This study explores an alternative method to conceptualize and assess cultural competence in four children's mental health systems of care communities from family and professional perspectives. Concept Mapping was used to…

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)