Data consisted of copies of all of the PSTs’ written work required for the activities. There were also field notes of their small-groups and whole-class discussions. Data analysis used an emergent approach to identify (i) the nature of the participants’ description of the their problem-solving processes for the two approaches; e.g., what they considered to be Stuck and Aha, how they represented them, what they highlighted in the process; (ii) the nature of their problem-solving models in relation to Polya’s four-stage model; (iii) what Approach 2 offered them over Approach 1 in terms of their learning about problem solving and teaching it. This information was summarized for each participant and compared for similarities and differences in their processes and thinking. The findings reported here regarding the effectiveness of the approaches are based on what was common conceptually in their processes.