To tailor instruction to levels of learner proficiency in a domain in adaptive learning environments, rapid on-line methods of assessing learner knowledge and skills are required. Cognitive studies indicate that major factors in expert performance are organised structures in the person's knowledge base. Measuring different levels of acquisition of…

Videotaped interviews of 29 Australian students from grades 1-3 were analyzed to assess and compare the processing loads of mathematical representations and strategies used by teachers and children to learn the concept of place value. Results indicated that some representations and strategies impose an unnecessary processing load that can…