The ideas behind the constraint-based modeling (CBM) approach to the design of intelligent tutoring systems (ITSs) grew out of attempts in the 1980's to clarify how declarative and procedural knowledge interact during skill acquisition. The learning theory that underpins CBM was based on two conceptual innovations. The first innovation was to…

This paper outlines several "tricks" that aid students in improving their memories. The distinctions between operational and figural thought processes are noted. Operational memory is described as something that allows adults to make generalizations about numbers and the rules by which they may be combined, thus leading to easier memorization.…

Proposes that although the past 30 years have seen increasing efforts to make mathematics more relevant and useful, schools continue to fail. Argues that forced rote learning is the direct cause of this failure and that improved teaching methods must be developed. Urges that shifts in methodology be phased in gradually. (TW)