技術型高中數學學習困難學生線性規劃輔助教材之編製與試用

本研究係基於線性規劃在技術型高中數學的重要性且是學生深感困難的單元，故著手編製本輔助教材，全部教材包含學習單和前、後測評量單各八份，內容涵蓋技術型高中數學線性規劃基本學習內容及國中代數相關先備知識。設計過程除了參考數學領域課程綱要之架構，亦邀請合格高級中等學校數學科教師提供修改建議，讓本教材之內容回歸基本且核心的概念，減少繁雜的數字計算。教師上課示範的例題和學生練習的題目之間亦有相似性，以增加學生學習遷移的可能性，鞏固其數學概念。編製後再經兩名技術型高中資源班二年級學習障礙學生試用，學生在立即後測表現皆較前測有明顯進步，但其中一名數學學習障礙學生在延宕後測表現明顯下降，分析其錯誤乃與計算正確性和流暢性不足有關，故本教材雖能協助技術型高中資源班數學學習困難學生學習線性規劃單元，但仍有其限制存在。

關鍵字

技術型高中；線性規劃；數學學習困難

並列摘要

The main reasons for designing of Linear Programming (LP) teaching materials for vocational high school (VHS) were based on its importance and hardness for many students with math learning difficulties. The teaching materials consisted of eight learning units and pre- /post-tests. The contents covered prior knowledge of algebra taught in junior high school and LP in VHS. LP teaching materials were developed by revision and application testing. Two qualified VHS math teachers were invited to review the contents and to give revision suggestions. Two VHS students with math learning difficulties were taught the teaching materials to verify its appropriateness. Before intervention, students were given pretests to understand their starting points and difficulties. Then, intervention was given based on the unknown or unfamiliar units in pretests. After intervention, students were given immediate and delayed post-tests. Two students had immediately progress after using the teaching materials, however, one of them had backward performance in delayed post-tests. Some suggestions and limitations were discussed later.