The main objective of this study is to investigate the role of four different modes of representation in mathematical problem solving (MPS), and more specifically to develop a model, which provides information about the effects of these representations in the solution procedures of one-step problems of additive structures. Data were collected from…

A mental model is a knowledge structure composed of concepts and the relations between them. Mental models are distinct from declarative and procedural knowledge--they go beyond semantic relationships and skills acquisition and contain varied intellectual skills and knowledge. This study describes an initial investigation into the construct…

Confirmatory factor analysis was used to test first- and second-order factor models on cognitive abilities and their invariance across samples of 234 male and 225 female secondary school students. Factor models suggest that males and females may use different problem-solving strategies for spatial analogies, matrices, and numerical problems. (SLD)

Facets of problem solving instruction (PSI) were studied in German mathematics classrooms. Nine different facets of PSI were identified from the research literature, and a video rating form was developed to assess these facets and teacher effectiveness. Videotaped mathematics lessons (n=147) for German eighth graders from the sample for the Third…

Construct validity of a prototype baccalaureate generic problem solving skills test was explored through a structural analysis. The assessment method used three real-life problem situations crossed by six generic skills, namely Decision-Making, Communication, Analysis, Synthesis, Valuing and Execution. There were six written responses for each…

A substantially revised Medical College Admission Test (MCAT) was introduced in spring 1991. The new examination is designed to assess critical thinking skills, basic concepts and problem solving facility in science, and writing skills. This paper reports preliminary findings on the factor structure of the revised MCAT, which consists of four…