After the publication of the Third International Mathematics and Science Study (TIMMS) results, where Singapore has consistently placed number one, educators began asking why American students were not performing as well as their counterparts. This qualitative case study consisted of four secondary students, two American and two Singaporean, living in Singapore. The usage of qualitative study allowed an in depth investigation as to what the students are actually doing while completing mathematical tasks.
The research investigated the strategies and thought processes of students while performing mathematics problem solving tasks, as one way to measure the differences in the student’s performance. During the task-based interviews students completed twelve problem solving tasks while thinking aloud. After completion of the problem solving tasks the students completed a metacognition survey and participated in a short interview conducted by the researcher. The study was completed in order to answer the following research questions: What strategies do 12th grade American and Singaporean students use when working on mathematics problem solving tasks? and What mediates success on mathematics problem solving tasks?
Using the frameworks of Polya (1957) and Schoenfeld (1985) the researcher was able to conclude that strategies alone will not mediate success when completing problem solving tasks, there are other mediating factors. The American and Singaporean students both demonstrated two similar factors when completing the problems solving tasks. The American students had three separate factors which also contributed to them not gaining completely correct results. This study demonstrated that students are most successful when they use Polya’s (1957) four stages of problem solving and Schoenfeld’s (1985) six characteristics of being a good problem solver.
