In this reply to commentaries on the Kirschner, Sweller, and Clark (2006) paper, we not only reemphasize the importance of randomized, controlled experimental tests of competing instructional procedures, but also indicate that altering one variable at a time is an essential feature of a properly controlled experiment. Furthermore, we also…

Evidence for the superiority of guided instruction is explained in the context of our knowledge of human cognitive architecture, expert-novice differences, and cognitive load. Although unguided or minimally guided instructional approaches are very popular and intuitively appealing, the point is made that these approaches ignore both the structures…

Reviews research on (1) schemata acquisition while learning mathematics and techniques for detecting schema in mathematics learners; and (2) assessment of the distribution of cognitive resources while learning mathematics that lead to the design of instructional techniques to facilitate schema acquisition. (26 references) (MDH)