Reviews research on (1) schemata acquisition while learning mathematics and techniques for detecting schema in mathematics learners; and (2) assessment of the distribution of cognitive resources while learning mathematics that lead to the design of instructional techniques to facilitate schema acquisition. (26 references) (MDH)

Describes seven number-sense skills for elementary and middle school grades. Provides eight short stories for grades three through eight designed to develop students' number-sense skills in which students replace missing data so that the story makes sense. (MDH)

This study of 16 Singapore child care centers found that children spent most of their time engaged in adult-led group, cognitive, and daily routine activities. Findings also suggest that good quality centers offer a variety of cognitively stimulating activities, such as literacy activities, academic and problem-solving tasks, and verbal…

Investigated development of ability to recognize, anticipate, and plan the replay of recorded action sequences. Effects of an educational intervention on this ability were evaluated for two- to five-year olds. Results suggest that representational competence is a teachable concept and that a complex mediating structure allows children to…

The relationship between normative patterns of social interaction and children's mathematical thinking was investigated in 5 classes (4 reform and 1 conventional) of 7- to 8-year-olds. In earlier studies, lessons from these classes had been analyzed for the nature of interaction broadly defined; the results indicated the existence of 4 types of…

This report describes a project designed to expand higher order thinking skills in five primary students with disabilities in order to increase problem solving and decision making skills. The project incorporated higher order thinking skills into mathematics, science and language arts units, and implemented weekly, cooperative learning techniques…

This is volume 6 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. This book contains both a theoretical examination of the connection between instruction and the development of children, and experimental data on a definite…

The Mathematics Education Research Group of Australia (MERGA) was officially constituted in 1980. In 1984, MERGA produced the first review of the mathematics education research carried out in that region. This book is the third in that series of research reviews. An overview provides the context in which the Australian research was conducted and…

The rule space model permits measurement of cognitive skill acquisition, diagnosis of cognitive errors, and detection of the strengths and weaknesses of knowledge possessed by individuals. Two ways to classify an individual into his or her most plausible latent state of knowledge include: (1) hypothesis testing--Bayes' decision rules for minimum…

According to the ACT theory of skill acquisition, cognitive skills are encoded by a set of productions, which are organized according to a hierarchical goal structure. People solve problems in new domains by applying weak problem-solving procedures to declarative knowledge they have about this domain. From these initial problem solutions,…

This fourth yearbook on research on mathematics teaching in Finland contains five articles, four in English and the fifth in German. "Mathematics as a Cognitive Science" (C. Letteri) examines cognitive aspects related to teaching and learning mathematics, with the focus on the different levels of comprehension and an analysis of basic…

It is often both possible and valuable for a teacher to be a researcher in his or her own classroom. This paper describes the nature of cognitive research and focuses on two areas of research that may be of special interest to classroom physics teachers. The first area refers to misconceptions that students bring with them to their physics…

Research on the development of ability to control variables during adolescence is reviewed. The first section discusses studies by Piaget and his collaborators, replications of Piaget's studies, and related studies by other investigators. Factors which influence performance on controlling variables tasks are delineated; the existence of Piaget's…

This study was designed to investigate the relationship between the level of conservation of displaced volume and the degree to which sixth-grade children learn the volume algorithm of a cuboid, namely, volume equals weight times length times height. The problem chosen is based on an apparent discrepancy between the present school programs and…

This study investigated (1) the extent to which thinking and problem-solving of fifth-grade students could be improved by the use of self-instructional programed lessons (the productive thinking program), (2) the relationship between productive thinking abilities and IQ-sex characteristics of the learner, and (3) the relationship between level of…