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…

Explores how a set of possible student misconceptions about solving a complex problem can be used in computer-based intelligent tutoring systems and in computer-based exercise and test generation. Topics discussed include expert systems, misconception covers, discrimination trees, methods of acquiring the set of misconceptions, and protocol…

The problem-solving difficulties of Nigerian preservice chemistry teachers (n=300) were investigated. The results from written tests and an interview show students were capable of constructing mental representations but not solution plans; had inappropriate approaches and strategies; exhibited structural errors relating to a disregard of given…

Describes a computer program presenting four genetics problems to monitor the problem solving process of college students. Identifies three main areas of difficulty: computational skills; determination of gametes; and application of previous learning to new situations. (Author/YP)

A study on the impact of misconceptions on preservice elementary teachers' processes in solving problems involving multiplication and division of decimals is described. Included are the purpose of the study, a description of the subjects, instruments, and interviews, the findings, and discussion. (KR)

Proposed is a scheme for concept development in teaching the topic of energy. Levels within the scheme are described, as well as their interrelationships and their relation to the student's own world. (KR)

Discussed is a constructivist model of science learning and its possible use in the treatment of science misconceptions. Science learning as conceptual and methodological change is described. (KR)

Previous research has cast doubt on children's ability to use specified evidence when making causal inferences, or, indeed, to differentiate between the specified evidence and their own preconceptions, or "prior theories." The present study continues previous work by distinguishing between children's reasoning in conditions where…

Described are the general problem-solving strategies and their nature and functions. The importance of integrating different types of general problem-solving strategies with content-specific teaching in mathematics classes is discussed. (KR)

In this study 34 spontaneous analogies produced by 16 college freshmen while solving qualitative physics problems are analyzed. A number of the analogies were invalid in the sense that they led to an incorrect answer from the physicist's point of view. However, many were valid, and a few were powerful in the sense that they seemed not only to help…

The question of how children solve force and motion problems in computer simulations without explicit knowledge of the underlying physics was investigated. Keystroke sequences made by children were saved and analyzed, and children were interviewed to understand their perception of the relationship between keyboard input and on-screen action. (CW)

Described are the conceptions held by United States and Israeli students about multiplication and division that may impede their work with decimals. Included are the introduction, method, division and multiplication task results, and the implications for education and textbook development. (KR)

Three modules on chemical equilibrium, developed as resource materials for a content-methodology course in chemistry for intending teachers and also for general chemistry courses at the senior secondary and tertiary levels, are described. The use of these modules in a methodology course showed a significant development of competence in the…

Critical pedagogy, an ideology which opposes education as domination, views knowledge and learning as constructed by the student and teacher together. Its goal is personal and social emancipation and empowerment. The purposes of this paper are to (1) indicate problems in science education which can be addressed by teaching science from a critical,…

High school students' misunderstandings of the conceptual machine of the BASIC programming language were examined using a screening test and structured interviews to determine their understanding of fundamental concepts such as variables, assignments, loops, flow and control, and tracing and debugging. (MBR)