國小資優生在時分針問題之解題表現分析

Analyses of Problem Solving Performance for a Gifted Subject Solving Clock-Hand Problems

本研究主要目的在探討一位五年級資優生，對於有關時分針問題的解題表現。在此個案研究中，為探究個案解題想法，根據個案的解答與圖形表徵為基礎進行訪談，並從Mayer (1992)所強調的問題轉譯、整合與監控等三個層面做解題分析。受限於篇幅，本研究只呈現三個問題的解題與分析。研究發現，個案因有良好的轉譯能力，能化繁為簡以致成功地整合問題，並運用未知數列出正確方程式，而在求得未知數後，又能發揮監控能力，終獲得合理的正確答案。

The purpose of this case study was to investigate the problem solving performance of clock-hand problems intended for a gifted subject. Based on his solution and drawing presentation， further interviews were conducted to capture how he thought. Our close observations indicated that the subject owned so excellent problem translation ability tomake complex problems to be simple. The equations he constructed also revealed that his potentials in problem integration were exceedingly apparent. Once the solutions were derived from those equations， the gifted subject employed well his monitor ability to check the reasonable answers as an indictor of his understanding.