The empirical data in this study are from a series of two lessons on measurement implemented in seven classes with 119 six-year-old students in Sweden. Both problem solving and problem posing were shown to be important in early mathematics when students in this study worked on one problem-solving task and one problem-posing task on measurement. As…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

This collection of 58 articles from the recently-published third edition of the International Encyclopedia of Education focuses on learning, memory, attention, problem solving, concept formation, and language. Learning and cognition is the foundation of cognitive psychology and encompasses many topics including attention, memory, categorization,…

The author starts from a historical viewpoint to suggest that, at primary level, we have tended to perpetuate a nineteenth-century notion of music education. This is evident in the selection and organisation of musical content in curriculum documents, the scope of the teacher-pupil transaction implicit in these and the assumptions about music…

Asserts that metacognition is one of the most important developments in the contemporary study of learning. Proposes a theoretical analysis of a number of interrelated issues with regard to their importance for metacognition. Focuses on strategy selection in light of the impasse-based theories of problem solving. (CFR)

Describes an exploratory investigation of how children reacted to problems with missing, surplus or contradictory data. It was found that the majority of children gave unsatisfactory answers to such problems. (PK)

The paper reviews limitations in social skills research with mentally retarded persons, noting problems in conceptual development, validation of social skills objectives, and generalization. The most serious limitation identified is the failure to demonstrate that community integration and adjustment can be enhanced through training. (CL)

Deciding how to approach a word problem for solution is a critical stage of problem solving, and is the stage which frequently presents considerable difficulty for novices. Do novices use the same information that experts do in deciding that two problems would be solved similarly? This set of four studies indicates that novices rely more on…

This study details the establishment of a teacher/learner laboratory at Monash University in Australia and the information it yielded about the learning and teaching of mathematics. Both instructors and learners understood they were cooperating to help develop an understanding of difficulties in learning and teaching strategies and ways to reduce…

This document contains 53 plenary and contributed papers presented at the eighth Psychology of Mathematics Education (PME) meeting. Two plenary addresses focused on mathematics research in Australia and Japan, and problem solving and symbolism. Contributed papers were classified under 13 headings including: teaching and learning theory; cognition;…

The strength of intuitive knowledge is illustrated by the difficulty that individuals have in trying to restructure student misconceptions. In order to harness this power, intuition must be developed within the context of each new concept to be taught. An experiment with one possible approach to this instructional problem is described and…

This document contains plenary and contributed papers presented at the seventh PME meeting, held near Jerusalem, Israel in July 1983. Three plenary papers focused on implicit models in solving problems, discussions with teachers and children, and heuristics. Contributed papers were classified under seven headings: learning theories…

Because previous research by Bayman and Mayer (1983) suggests that individuals who attempt to learn their first computer language develop a variety of misconceptions of the meanings of individual programming statements, this study investigated whether it is possible to enhance beginning programmers' understanding of the programming statements…

In general, people seem to be poor at noticing analogies, especially when they are required to apply an analogy to a domain that is new. It was suspected that schemas influence the noticing and applying of analogies. Schemas are hypothesized to be abstract propositional structures that emphasize relationships among categories of objects rather…

Research has not clearly determined whether memory development in childhood and adulthood can be accounted for by the age variation of cognitive processes other than memory. To examine this issue, a study was conducted based on a model of structures and processes in complex information processing. Subjects (N=162) were presented with two lists of…