Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)

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)

Reported are the differences in the understanding of concepts involved in photosynthesis and its role in ecology between students who had studied advanced biology and those who had not. Reports that the less experienced students had a poorer understanding of autotrophic respiration and energy aspects of photosynthesis. (CW)

Examined the effects of an instructional method used to remedy students' difficulties caused by fragmented and incorrectly interpreted knowledge. Described the method using explicit concept-interpretation procedures. Finds that the method helped to revise students' deficient prior knowledge about acceleration, and helped them to interpret it…

Reviews the logic underlying mathematical induction and presents 10 tasks designed to help students develop a conceptual framework for mathematical induction. (Contains 20 references.) (MDH)

(PR)

Students lacking formal training in physics have great difficulty predicting the paths of various projectiles. With respect to pendulum-bobs that are released from various points in a swing, a previous experiment found that empirical feedback (i.e., resultant trajectories) produced transfer-of-training to other pendular-based tasks. However, such…

A great number of misconceptions in diverse subject areas as well as across age levels have been documented and described. Photosynthesis is one of the more intensively studied areas in biology. The purpose of this research was to carefully select and define misconceptions about photosynthesis needing remedial efforts. To achieve this, a specially…

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…

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 concept of probability is not an easy concept for high school and college students to understand. This paper identifies and analyzes the students' alternative frameworks from the viewpoint of constructivism. There are various interpretations of probability through mathematical history: classical, frequentist, and subjectivist interpretation.…

Considers variables which affect the acquisition of the kinetic theory of heat by children who hold alternative viewpoints. Suggests that the articulation of different viewpoints in no way hinders the acquisition of the desired conceptual framework. Emphasizes the benefit to low-reasoning students in particular. (CW)

Uses interviews and a written questionnaire to probe students' ideas on the origin of earth and life on earth. A significant number of commonly held misconceptions were prevalent in the sample (N=493). Provides guidelines to assist learners in challenging existing views. Contains 64 references. (DDR)

Explores both the qualitative and quantitative dimensions of pupils' ideas related to conservation during state changes of water. Analysis of questionnaire data indicates that qualitative understanding precedes quantitative. Contains 18 references. (DDR)

Describes a study that explores the instructional influence of presenting pictures at the molecular level when introducing chemistry concepts and solving chemistry problems. Explores the effect of the pictures on students' conceptions and problem-solving abilities. Contains 59 references. (DDR)