The difficulty of transferring methods from one context to another is a common theme in the research literature. For example, students may know how to figure out the gradient, intercept and the equation of a graph, but still find it challenging to recall and apply these concepts to a ‘real-world’ problem. One reason for the low degree of transfer is that students often recall concepts in a situation-specific manner, focusing mainly on surface features (Gentner 1989; Medin & Ross 1989) rather than on the underlying mathematical principles. Our UK study supports these findings. On several occasions teachers taught a concept, in advance of the lesson, that they considered would help students to solve the problem and were subsequently surprised that students decided not to use it! Clearly, successful problem solving is not just about students’ knowledge - it is about how, when and whether they decide to use it (Schoenfeld, 1992, p. 44).