A test was given to 322 secondary students to develop a profile of mathematical ability based on four components: computation, pattern recognition, logical reasoning, and symbolic manipulation. These profiles were compared to mathematics test scores; the results verified hypotheses about individual differences in mental processes and knowledge…

Illustrates advantages of research on practical factors in reasoning. Discusses role of factual knowledge and diagnosis of specific task-based errors in reasoning, influence of individual aptitudes on reasoning, and effect of educational interventions designed to change reasoning. Presents Piagetian position for each position, discusses evidence…

An experiment was conducted to investigate three topics of current interest in education: critical thinking, programed instruction, and aptitude-treatment interaction. Thirty college students and 31 ninth graders with extreme discrepancies between their verbal and quantitative aptitude scores were taught eight principles of class reasoning by…