- 學位論文
高次聯立方程式資優數學教材編寫
Teaching material of higher order simultaneous equations for gifted mathematics
摘要
資優學生學習能力優異、學習快速，加以學習方式及學習風格有其偏好，需要適合其能力、速度、方式、風格的安置方式及教材教法，本研究目的為編寫高次聯立方程式資優數學教材，提供給資優學生更多樣性的解題的方法和有挑戰性的學習內容，並能與能力相當的同儕相互切磋。 高次聯立方程式在解題時，運算能力是真正解題中最重要的關鍵，方程式的複雜運算，必須要有清晰的計算能力來解出答案，且解題的方法中，對應到不同的題型會有不同的解法，如代入消去法型、加減消去法型、對稱型、代換法、係數成比例型、公式法、根與係數型等，因此編寫本教材以提供學生在解題策略上和驗證答案的同時，能培養資優學生多元思考的能力。
並列摘要
The aim of this study is to provide mathematical teaching materials of the higher order simultaneous equations such as the more problem-solving approaches and challenging learning contents for the gifted students due to their better ability in mathematical learning. A computing ability is the most important part when one attempts to solve the simultaneous equations. The computing ability is compulsory in solving complex simultaneous equations. There are a variety of approaches to problem-solving process. Therefore, in this teaching material, we are in an endeavor to supply students with cognitive skills by problem-solving process and validation procedure.