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科目代碼	SEC0012	課程名稱	數學問題解決研究
英文名稱	Studies in Mathematics Problem Solving
全/半年	半	必/選修	選修
學分數	3.0	每週授課時數	正課時數: 3.0 小時, 實驗時數: 0.0 小時
先修課程
課程簡介	The purposes of this course are two-folded: to introduce the basic ideas and techniques behind problem solving in mathematics as well as how to do research in the area of problem solving from an educational point of view. In this semester, we will study Polya’s classic, “How to solve it”, in details. We will study a little bit about other models too. We will try and spend some time in applying Polya’s concept into mathematics instruction on various topics, including ratio and proportion. Moreover, there will be plenty of actual problem solving activities in this course. Techniques to analyze problem solving activities will be discussed. There will also be some special emphasis on solving plane geometry problems. In view of the fact that some past graduate students encountered some troubles in writing literature review for their theses, we will read more research papers this semester. The readings will be announced in class. Students will be responsible for participating in paper discussion throughout the whole semester.
課程目標		對應系所核心能力
1.　瞭解數學問題解決相關理論與背景		碩士: 　1-1 瞭解科學的豐富與複雜本質 　1-3 熟習認知與科學學習的理論與實務 博士: 　1-1 瞭解科學的豐富與複雜本質 　1-3 熟習認知與科學學習的理論與實務
2.　培養問題解決能力		碩士: 　1-10 具規劃研究設計及執行資料分析的能力 　3-5 具開放、能接受不同想法的胸襟 　4-3 具有抱持懷疑的求知態度 博士: 　1-10 具規劃研究設計及執行資料分析的能力 　3-5 具開放、能接受不同想法的胸襟 　4-3 具有抱持懷疑的求知態度
3.　應用數學問題解決相關理論於教學研究		碩士: 　1-11 具批判研究設計及分析方法之能力 　1-5 能應用科學學習理論於實務工作上 　2-1 具備科學教師所需科學教育素養與科學教學知能 　3-3 積極進行教學研究與解決教學問題 博士: 　1-11 具批判研究設計及分析方法之能力 　1-5 能應用科學學習理論於實務工作上 　2-1 具備科學教師所需科學教育素養與科學教學知能 　3-3 積極進行教學研究與解決教學問題
4.　應用數學問題解決理論於課室教學