Making drawings can help students avoid and overcome difficulties they encounter when solving real-world (or modeling) problems. However, many students do not make drawings spontaneously. In the present study, 132 students in Grades 9 and 10 were randomly assigned to the experimental conditions "with situational or mathematical drawing…

Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework--a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom…

This paper outlines the current state of knowledge about how intellectual competence is acquired. Implications resulting from recent changes in the psychology of learning and development are beginning to revitalize the science of learning and instruction. Four broad topics illustrate the links between instructional experiments, fundamental…