A pretest-training-posttest design assessed whether training to improve spatial skills also improved mathematics performance in elementary-aged children. First grade students (mean age = 7 years, n = 134) and sixth grade students (mean age = 12 years, n = 124) completed training in 1 of 2 spatial skills--spatial visualization or form…

A pretest-training-posttest design assessed whether training to improve spatial skills also improved mathematics performance in elementary-aged children. First grade students (mean age = 7 years, n = 134) and sixth grade students (mean age = 12 years, n = 124) completed training in 1 of 2 spatial skills-spatial visualization or form…

The article deals with the problems arising within transition from the traditional to the modern educational paradigm. Taking the use of school geography textbooks and teachers' guides as examples the author offers innovative technology for the development of student's personality cognitive experience implemented due to the combination of…

Developing "Thinking and Understanding in Young Children" presents a comprehensive and accessible overview of contemporary theory and research about young children's developing thinking and understanding. Throughout this second edition, the ideas and theories presented are enlivened by transcripts of children's activities and conversations taken…

Because of the general recognition of the importance of mathematics ability, and the close relationship between mathematics ability and spatial ability, eight studies were undertaken to discover and describe aspects of spatial competence in children. The range of abilities tapped stretched from very early precursor skills with Euclidean space to…

A study examined whether exemplar-specific or prototype representations were primarily used by 28 children (ages 10-12) with mild mental retardation in a categorization task consisting of two groups of make-believe animals whose features were ill-defined. Results indicated the children were able to acquire and use both types of representations.…

Examines preschool children's understanding of the mathematical significance of unit size through problems that involve making judgments about the number of larger objects versus the number of smaller objects. Elicits children's judgments about the effects of object size both before and after the presentation of a series of demonstration trials.…

Reports a study designed to identify 9 and 11 year olds' ways of drawing nets of solids and to provide opportunities for them to reflect on their models in whole class discussions. Results indicated that children's views of solids' nets progressed from more global and holistic to more quantitative and analytic. (MDH)

Invaluable for anyone looking to understand young children's thinking, this essential textbook helpfully combines introductions to theories about thinking with observations from real-life practice. The book explores underlying theories behind topics such as: (1) the relationship between nature and nurture; (2) models of cognitive development, with…

Describes the Agam program, a 36-unit curriculum program to introduce students to basic visual concepts and that applies visual abilities and visual thinking to learning tasks. Describes two units at the third grade level, "Ratio and Proportion" and "Numerical Intuition," and makes observations of the students' learning. (MDH)

Presents activities that use visual-geometric models to help students develop their understanding of exponents and division of powers with the same base. Presents opportunities for students to discover patterns for themselves and communicate these findings to others. (MDH)

This study investigated the speed of encoding and rotation of images during simple spatial rotational operations to discover any similarities or differences in groups of differing spatial ability. This project was subdivided into five basic subproblems. First, research was done to arrive at a simple, easily testable information processing model…

Although geometry and spatial reasoning are important as a way to interpret and reflect on the physical environment and also form the foundation for learning mathematics and other subjects, many early childhood and primary school teachers spend little time instructing their students in these areas. This paper examines how young children learn…

The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…