Presents five activities to help students construct meaning for multiplying fractions through real-world problem contexts, physical or pictorial models, the recognition of patterns, and the use of calculators. In the context of a garden plot, worksheets examine various aspects of parts of plots, patterns in plots, and a maximization problem.…

A longitudinal study followed Brian from grade five through grade seven to examine his representation and development of mathematical knowledge. Some observations over the four years were that Brian liked to figure things out, responded poorly to suggestions not fitting the representation he constructed, and changed attitudes from purposeful and…

Reports results from a project designed to bring about student conceptual change by using multiple modeling and representation as well as links to other areas. Students developed rules as conveniences and meanings for symbols, were active in learning, made interpretations, and had confidence in their thinking. (MKR)

Multiage settings are alternative educational groupings that promote complexity in young children's thinking. Grouping children across ages and grades encourages interconnectedness in social and intellectual development. This study compared the academic achievement of one group of multiage students to national norms on standardized achievement…

This Teacher Resource Manual (TRM) is designed to help teachers implement the Mathematics 20, 23, and 24 courses. The TRM is a support document that provides helpful information to classroom teachers. An overview of the Course of Studies for Mathematics 20/23 and 24 is provided at the beginning of each course section in the TRM. The overview…

Australian Outward Bound participants almost universally report their experience in the course as being significant in their lives. The relevance of Outward Bound to the normal progress of life enables it to make significant contributions to society and man's future. An Outward Bound course is designed to encourage students to take responsibility…

This annual report describes the results of the second year (academic year 1967-68) of research work done in the Child Development Research and Evaluation Center for Head Start at Temple University. Part One of this report discusses the Center's National Data Program and sets out in tabular form demographic and cognitive data obtained on 86 urban…

A children's television program "Sesame Street," is discussed. The objectives of this program is to promote the intellectual and social and cultural growth of preschool and kindergarten children. Specific goals include: symbolic representation, problem solving and reasoning, and familiarity with the physical and social environment. The…

Suggests that children enter school with a great deal of informal intuitive knowledge of mathematics that can serve as the basis for developing much of the formal mathematics of the primary school curriculum. Describes a research-based model of children's thinking that teachers can use to interpret, transform, and reframe their informal or…

This document, presented in two volumes, reports on a psychology of mathematics education conference, the theme of which was "Theoretical and Conceptual Frameworks in Mathematics Education." The two volumes include 58 papers, descriptions of 4 poster and 2 video presentations, and reports of and reactions to 2 plenary sessions presented…

This paper discussed the use of structured observations as a research strategy in two recently completed studies that investigated students thought processes and behaviors in a microcomputer-based laboratory (MBL) environment and in other instrument-based laboratory environments. In the first study, students' behaviors and thought processes were…

Selections of papers from the 19th annual conference of the Australian Science Education Research Association are presented in this volume. A diversity of themes are addressed and include new topic areas as well as concerns that have been cited in previous issues. These papers focus on issues including: (1) students' misconceptions; (2) classroom…

A process model for the restructuring of educational administration preparation programs is described, with a focus on program content, delivery, and context. Recommendations are made for utilization of a problem-solving, andragogical approach and for structured administrator preparation programs based on the integration of theory and practice.…

The Mathematics 16 program provides for the development of essential concepts, skills, and attitudes required for effective computation and problem solving. The program is activity-based, and addresses the need for students to be able to transfer and apply specific mathematical concepts and skills to more generalized situations in everyday life…

Diverse themes from the annual conference of the Australian Science Education Research Association are addressed in this volume. New topic concerns as well as concerns that have been cited in previous issues are identified. Papers focus on issues including: (1) science and technology; (2) classroom practices and processes; (3) international…