Field trials of a computer‐based interactive videodisc system for the education of Black mathematics teachers in South Africa indicated that both the courseware and manner of running the courses in which the system was being used were in need of sound educational founding. Lecturers running the courses practically abdicated their teaching role. The principles of mastery learning and of a cognitive model applicable to the learning and teaching of mathematics are used, together with information processing theory and social learning theory, to explore the latter problem. Role descriptors are extrapolated. These descriptors build up into a role model for the instructor. This role model has been applied in the training of instructors and in developing courseware manuals.
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