Problem solving research has encountered an impasse. Since the seminal work of Newell und Simon (1972) researchers do not seem to have made much theoretical progress (Batchelder and Alexander, 2012; Ohlsson, 2012). In this paper we argue that one factor that is holding back the field is the widespread rejection of introspection among cognitive…

The examination of problem-solving processes continues to be a current research topic in education. Knowing how to solve problems is not only a key aspect of learning mathematics but is also at the heart of cognitive theories, linguistics, artificial intelligence, and computers sciences. Problem solving is a multistep, higher-order cognitive task…

We present a quantitative model for predicting the level of difficulty subjects will experience with specific problems. The model explicitly accounts for the number of subproblems a problem can be broken into and the difficultly of each subproblem. Although the model builds on previously published models, it is uniquely suited for blending with…

Two independent lines of research--mental simulations and thought experiments--provide strong arguments about the importance of perceptual modalities for the instructional practices in science education. By situating the use of mental simulations in the framework of thought experiments, this study investigated the nature and the role of mental…

This study investigated the musical thinking of two composers through the use of concurrent protocol analysis and examinined their problems, funded experience, and reflective thinking. The objective was to determine the extent to which there is an observed or implicit paradigm of reflective thinking in the thinking of a practicing composer. The…

Social problem solving and cognitive style (field independence/field dependence) were studied in a sample of 70 elementary and secondary teachers taking a summer course in counseling. Protocol analysis was used to identify the variety of problem-solving methods applied to social problems. (SLD)

A content analysis was conducted of think-aloud protocols of a teacher who used the Mathematics Assessment Questionnaire (MAQ) to explore the mathematical dispositions of her students. The teacher used the MAQ four times over a 2-year period with geometry students at various levels. On the first occasion, the teacher used a direct instruction…

Proposes the use of procedural task analysis as a tool to assess a person's mental processes during problem solving in science education research. Uses transcriptions of videotape or audiotape problem-solving sessions to identify students' knowledge structures and misconceptions. (MDH)

To generate a useful means of analyzing think-aloud protocols of individual students, and to determine the extent to which practical information might be derived from transcripts and videotapes, this project focused on the problem-solving behaviors of 17 sixth-grade students videotaped while solving routine textbook word problems. Using a…