This special section contributes to an inclusive cognitive model of information problem solving (IPS) activity, touches briefly IPS learning, and brings to the notice methodological pitfalls related to uncovering IPS processes. Instead of focusing on the IPS process as a whole, the contributing articles turn their attention to what is regarded the…

Cognitive efficiency (CE) is generally defined as qualitative increases in knowledge gained in relation to the time and effort invested in knowledge acquisition. Across disciplines, limited consensus exists concerning the conceptual and measurement properties of CE partly because some researchers indiscriminately use the construct of CE to…

A series of experiments involving more than 40 mechanical engineers and engineering students with different levels of expertise examined strategies, competence, and style of the designers in problem-solving behavior. A model is proposed that explains differences in designing as an interaction of domain-specific and heuristic competence. (SLD)

Word problems as used within the culture of mathematics education often promote a suspension of sense making by the students. In the papers in this issue, an alternative conceptualization of word problems is proposed that calls for mathematical modelling that takes real world knowledge into account. (SLD)

It is argued that mathematical modelling is important in teaching mathematics and that teachers have to create cultural support for it in the classroom. Posing an unsolvable problem for students may reveal the culture of the classroom as it exists, but its contribution to developing the needed culture that supports mathematical modelling appears…

It is argued that students who appear to ignore common sense and real-world knowledge in their approach to mathematics word problems in school are often behaving sensibly given the situation. The improvement of mathematics word problems for teaching will require changes in teacher beliefs and the use of modelling as an activity of organizing. (SLD)

Two experiments involving 67 elementary school and 439 high school students show that students present solutions to many unsolvable problems without showing realistic reactions. Results are discussed with respect to the quality of word problems in teaching mathematics, the culture of teaching and learning, and the issue of social rationality in…

Qualitative features of teacher-student interaction during classroom teaching and learning while modern technological thinking and problem-solving skills were mediated were studied for 22 seventh-grade boys in Finland. Reciprocal understanding between teacher and student were necessary in order for the teacher's special instructional assistance to…

Problem-solving models in memories of 11 good and 12 poor novice first-year university students were studied. The students reconstructed physics problems seen briefly, relying on models in memory. Both good and poor students had models of problem situations at their disposal, but good students performed better than poor students. (SLD)

Results of a study involving 107 sixth graders, 107 secondary school students, and 99 college education majors support the basic hypothesis of the intuitive model of solving multiplicative problems proposed by E. Fischbein and others (1985) but show that the theory does not account for all the empirical data. (SLD)