Characterizes typical training programs on "learning to think," outlines past research, and lists criteria for an aptitude-treatment interaction (ATI) study of the relationship between tasks, training methods, and student attributes. Details are given of two computerized experiments examining the different effects of algorithmic and…

Presents thinking-aloud protocols from secondary pupils solving arithmetic story and geometrical problems and analyzes their protocols by using interpretation models founded on a general problem-solving model. A word problem solving simulation is also used to further explicate processes pupils use to solve mathematical tasks. (Author/MBR)