國一資優生對因倍數問題的解題分析

Analyses of Problem Solving Performance of Factor and Multiple Problems of Gifted Seventh Grade Students

本研究旨在探討三位七年級資優生，對於有關因倍數問題的解題表現。為深入探究個案的解題想法，本研究採用個案研究，以其工作單的解題表現為基礎進行訪談，並作解題分析與比較。本研究最主要的發現為：三位個案於解題時，能適時利用倍數判別法，覺察解題關鍵，各自表現出優異的直覺能力。經由分析他們的解題表現，找出個案的解題策略，可使學校數學教師更了解資優生對因倍數問題的解題思維，亦可從中了解因倍數相關問題對資優生的難易程度。

The purpose of this study was to investigate the problem solving performance of factor and multiple problems of three gifted students of seventh graders through a case study. The authors conducted further interviews to analyze and compare problem solving thinking after the completion of a task. The major findings in this study were as follows: The three research subjects could make use of the key principles of multiple numbers in good time to obtain solutions. Each of the three subjects showed excellent intuitive insight into mathematics problem solving. Through analyzing their problem solving performance， the authors found out the strategies of their problem solving. These strategies can make school teachers of mathematics understand the gifted in their problem solving thinking， and the degree of the difficulty of factor related to multiple problems to gifted students.