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…

Our research in statistical cognition uses both qualitative and quantitative methods. A mixed method approach makes our research more comprehensive, and provides us with new directions, unexpected insights, and alternative explanations for previously established concepts. In this paper, we review four statistical cognition studies that used mixed…

Considered are two commonly used techniques, the interview and word association techniques. Highlighted is a third technique called the repertory grid. This third technique can be used to interpret students' knowledge based on an explicit, psychological theory of human behavior. (Author/CW)

The world presented to our senses is essentially continuous in space and time. The simplest observations of children have shown that we are not born with ways of "breaking up" the world. The structures of our knowledge must be developed, and the major issue this paper considers is how those structures develop. The discussion focuses on Jean…

Explores how some of the work in the history and philosophy of science might develop a more adequate understanding of students' untutored ideas. Describes how students' views can be interpreted. Explains and discusses the merits of commonsense-scientific theory analogy. (YP)

Recent research in cognitive science and science education suggests that science-naive individuals have an understanding of the natural world based on their interpretation of everyday experience. This can make the process of conceptual change difficult. This paper presents ideas related to the acquisition of knowledge in astronomy. A theoretical…

Models the ideas of children's misconceptions and subsequent acceptance of conventional scientific thought on the simple cusp of catastrophe theory. Demonstrates one theory of the forces which are necessary to change a misconception to a scientific concept. (CW)

Describes a multiple-choice instrument that reliably and validly diagnoses secondary students' understanding of photosynthesis and respiration in plants. Highlights the consistency of students' misconceptions across secondary levels and indicates a high percentage of students have misconceptions regarding plant physiology. (CW)

This newsletter describes an ongoing empirical field study involving a description and analysis of practical teaching situations aimed at describing the content and structure of pupils' frames of reference. The project takes the form of a series of case studies in classes of the 3-year lines of upper secondary schools in Sweden. The study seeks to…

Calls for differentiating between three kinds of studies of students' conceptions in science, namely descriptive studies, explanatory studies, and studies attempting to foster conceptual change. Cites the literature about student perceptions and science instruction. (TW)

States unequivocally that the classification of humans into races has no validity within the discipline of biology. Maintains that such classification is strictly cultural and any attempt to discern differences in cognitive or other abilities among populations must confront the limits of scientific knowledge. (MJP)

Cites the misconceptions that students beginning the study of electric circuits often have about electricity. Explains the use of capacitors with circuits of batteries and light bulbs to introduce electrostatic forces and help to alleviate the problem of misconceptions. (RT)

In this paper examples of the role of analogical reasoning in expert problem solving are presented. These are intended to show that using an analogy can change an expert's understanding of a problem situation by changing the conceptual model he or she uses to think about the situation. This suggests that using a good analogy may allow students to…

This paper describes the BUD project which surveyed childrens' conceptions of division, and of fractions and decimals. The lack of connection between counting skills and conceptual understanding is discussed. The expectations for new algorithms and the basic idea in planning the BUD project are summarized. Some previous studies on counting, the…

Maintains that having students estimate the size and width of a class waste paper can (placed on a desk) is a simple and effective way of illustrating perceptual distortion. Tests show that people will consistently overestimate the height of the can, allowing for a useful discussion on sensory distortion. (MJP)