An explorative study of search of model space in problem-solving

Building on dual-space theories, the three-space theory of problem-solving proposes a search of a model space in addition to search of experiment and hypothesis spaces. This study aimed at exploring the three postulated spaces, especially model space, by means of verbal protocols. Participants (N = 32) were asked to think aloud when working with a computer-based learning program. Through this program, they learned about torques in physics using interactive graphics for conducting experiments with levers and forces. Their knowledge about torques was tested before and after working with the program. Verbal protocols were analysed with regard to the amount of search of the three spaces and the quality of the participants' models for torques. The three postulated spaces could be reliably identified in the protocols. Amount of search of the model space predicted improvement in knowledge beyond prior knowledge and search of the other spaces. Our results add to the validity of model space and will allow us to further explore the three-space theory.

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