- 學位論文
高中資優數學向量問題之研究
The study of the gifted mathematics in the course of vector analysis in vector analysis in High School
摘要
摘要 本研究主旨在於探討，高中二年級學生在學習數學向量問題時，可能發生的迷思概念或困難，並針對程度差異不同的學生編撰教材，並將題型分類以適用不同程度學生。 學生學習困難的主要原因有： 1. 未能以正確、完整的數學語言或符號描述圖形或數學專有名詞。 2. 未能將所學的知識整理成有系統的概念幫助學習。 3. 未熟悉預備知識，缺乏利用已知性質推理的能力。 4. 論證觀念不完整，文字表徵與形式論證的能力不足。 5. 缺少相關的解題經驗，沒有主動繪製參照圖的習慣。
關鍵字
資優,數學,向量,並列摘要
Abstract The main purpose of this study is to explore the difficulties and doubts encountered by second-year high school students in learning mathematics vector units, and compiling teaching materials for students with different degrees of difference, and classifying the questions to suit different degrees of students. The main reasons for student learning difficulties are : (1) Cannot describe graphics or mathematical proper nouns in a correct and complete mathematical language or symbol. (2) Cannot organize what you learn into systematic concepts to help you learn. (3) Unable to understand the preparatory knowledge, and lack of inference ability to use already possessed properties. (4) The concept of argumentation is incomplete, and the ability of text representation and formal argumentation is insufficient. (5) Lack of related problem-solving experience and no habit of drawing reference pictures.