A Computer Game As A Context For Non-routine Mathematical Problem Solving: The Effects Of Type Of Question Prompt And Level Of Prior Knowledge

摘要

The purpose of this study was to investigate the effects of type of question prompt and level of prior knowledge on non-routine mathematical problem solving. A computer game was blended within the pattern reasoning tasks, along with question prompts, in order to demonstrate and enhance the connections between viable problem-solving strategies and the content knowledge in a visible manner. Seventy-eight 9th graders from two classes in a public junior high school participated in the 6-week experimental instruction. Participants were randomly assigned to the specific-prompt group and the general-prompt group to receive the one-hour weekly treatment. The results revealed that (a) the interaction of question prompts and prior knowledge was not significant, and (b) for the problem-solving performances, the specific-prompt group outperformed the general-prompt group and the high prior-knowledge group outperformed the low prior-knowledge group. Further, students receiving specific prompts outperformed those receiving general prompts in the problem-solving performance: reasoning for two variables. Students with high prior knowledge outperformed those with low prior knowledge in the two problem-solving performances: reasoning for one variable and reasoning for two variables. It was also found that prior knowledge and comprehensive mathematical ability were important predictors for the two problem-solving performances: reasoning for one variable and reasoning for two variables. However question prompts and mathematics attitude were not significant predictors for predicting the problem-solving performance of reasoning for one variable. Lastly, implications for these results and recommendations for future research were discussed.