Intended for the preschool teacher wishing to implement a cognitively oriented curriculum, this instructional guide focuses on the problem-solving approach (as opposed to the teacher-directed approach) to student learning. Each chapter provides space for teachers to plan, implement, and evaluate lessons. Activities in the guide are participatory,…

Uses manipulative materials to build and examine geometric models that simulate the self-similarity properties of fractals. Examples are discussed in two dimensions, three dimensions, and the fractal dimension. Discusses how models can be misleading. (Contains 10 references.) (MDH)

Described are the results of a spatial skills test designed to assess processing from 2-D to 3-D, 3-D to 2-D, and orientation. Results indicated that different aspects of spatial ability did not develop at the same rate, and the 3-D to 2-D skill took the longest to develop. (CW)

Reviews research about young childrens' focusing on the ability to transform a perceived scene into another representation. Reports on a study of 109 children and 18 college-age students on their ability to mold a lump of clay into a three-dimensional figure. Finds that cognitive maturity alone does not automatically lead to competence. (CFR)

This is volume 4 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. The introduction to this English language translation highlights the fact that significant advances have been made in the understanding of both the…

Responds to Claire Golumb's research on the cognitive development of young children's ability to create representations of reality using visual arts. Asserts that young children must find acceptable pictorial substitutes when producing representations. (CFR)

Described are pentonimoe activities which nurture a nonanxious attitude toward math and science, promote an atmosphere of cooperation, support development of problem-solving skills, and provide spatial-ability skill exercises. These activities can be used by students at all educational levels. (KR)

Describes five skills underpinning the understanding of geometry for primary and lower secondary mathematics students. Skill categories identified include (1) visual; (2) verbal; (3) drawing; (4) logical; and (5) application. Gives examples of skills appropriate for Van Hiele levels 1-3. (MDH)

Analyzes the research strategies, stimuli, subjects, statistical strategies, and relative variables in 34 empirical studies on children's representation of three-dimensional objects. The studies fell into three categories: children's representation of spatial relationships within an object, between two objects, and studies that included both. (MJP)

This guide describes 47 number and numeration learning activities that can be used with elementary school students. These activities have been developed using the mathematics laboratory approach. This publication is designed to serve as a stimulant to encourage teachers to open their minds and employ their imagination in developing further…