This concluding commentary takes the perspective of research on practicing scientists and engineers to consider what open areas and future directions on relational thinking and learning should be considered beyond the impressive research presented in the special issue. Areas for more work include (a) a need to examine educational applications of…

Mathematics is a critical part of much scientific research. Physics in particular weaves math extensively into its instruction beginning in high school. Despite much research on the learning of both physics and math, the problem of how to effectively include math in physics in a way that reaches most students remains unsolved. In this paper, we…

This year marks the 25th anniversary of the publication of a "National Statement on Mathematics for Australian Schools", which was the first curriculum statement this country had including "Chance and Data" as a significant component. It is hence an opportune time to survey the history of the related statistics education…

In November 2008 at Purdue University, the 2nd Workshop on Human Problem Solving was held. This workshop, which was a natural continuation of the first workshop devoted almost exclusively to optimization problems, addressed a wider range of topics that reflect the scope of the "Journal of Problem Solving." The workshop was attended by 35…

This paper contains a consideration of the nature and role of warrants for research conclusions in educational research. The paper argues the need for an explicit warrant in the form of a logical and persuasive link between the evidence produced and the conclusions drawn (with appropriate qualifications and caveats). It describes social scientific…

Soviet teaching experiments, based on the research of P. Ia. Galperin and of V. V. Davydov, are described, in which children are taught abstract concepts before they are provided with concrete examples. (GDC)

Describes a theoretical framework for the analysis of conceptual change that considers conceptual knowledge as a generative cognitive tool for the creation of more specific mental representations. Argues that a task-oriented interaction between propositional structures and mental models can help learners evaluate the consistency of their…