Teaching algorithmic thinking enables students to use their knowledge in various contexts to reuse existing solutions to algorithmic problems. The aim of this study is to examine how students recognize which algorithmic concepts can be used in a new situation. We developed a card sorting task and investigated the ways in which secondary school…

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)