Engaging students in a challenging (cognitively demanding) task and launching a mathematics lesson with a task before instruction are two characteristics of a reform-oriented approach to mathematics instruction often considered together. The authors systematically contrasted teaching with challenging tasks using a task-first lesson structure with…

The relationship between intellectual ability, working method, and learning was investigated with simulations in both structured and unstructured learning environments. High- and low-intelligence college students' thinking-aloud protocols were analyzed on quality of working method. Results indicated that both intellectual ability and working…