Thresholds of Knowledge Development in Complex Problem Solving: A Multiple-Case Study of Advanced Learners’ Cognitive Processes

This multiple-case study examined how advanced learners solved a complex problem, focusing on how their frequency and application of cognitive processes contributed to differences in performance outcomes, and developing a mental model of a problem. Fifteen graduate students with backgrounds related to the problem context participated in the study. Data sources included direct observation of solution operations, participants’ think aloud and stimulated recalls as they solved the problem, as well as solution scores indicating how well each participant solved the problem. A grounded theory approach was used to analyze stimulated recall and think aloud data. A set of thirteen cognitive processes emerged in the coding and were tallied for each participant. Individual cases were then grouped into clusters that shared similar frequencies of prior knowledge activation, performance outcomes, and tool use behaviors. Each cluster was profiled from least to most successful with descriptive accounts of each cluster’s approach to solving the problem. A cross cluster analysis indicated how learners’ cognitive processes corresponded with problem solving operations that revealed thresholds of knowledge development and formed an integrated mental model of the problem. The findings suggested that mastering problem solving operations within each threshold enhanced the learners’ conceptual awareness of where to apply cognitive processes and increased the combinations of cognitive processes they activated at higher thresholds of knowledge development. The findings have implications for anticipating where novices need support within each threshold of knowledge development during complex problem solving

Cognitive, social and teaching presence in a virtual world and a text chat

Using a framework of cognitive, social, and teaching presence, the nature of learning experiences in a three-dimensional virtual world environment (Second Life) and a text-chat learning environment without visuals (TeachNet) were investigated. A mixed method of code frequencies, coherence graphs, interviews, and a survey was used. The results revealed that the TeachNet debates included more cognitive presence codes that indicate higher levels of cognitive processing than in SL debates. The teams were significantly different from each other in the collaboration style for developing arguments and in the ways to use utterances associated with cognitive, social, and teaching presences, and the groups' collaboration style became more established with more experience with the tasks. The three critical factors-tool, tasks and group cohesion-that affect cognitive, teaching, and social presence are discussed