研究生: |
蔡昭傳 |
---|---|
論文名稱: |
數學課室討論文化對國小六年級學童代數概念表現影響之研究 |
指導教授: | 蔡文煥 |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
南大校區系所調整院務中心 - 應用數學系所 應用數學系所(English) |
論文出版年: | 2009 |
畢業學年度: | 97 |
語文別: | 中文 |
中文關鍵詞: | 課室討論文化 、代數概念 |
外文關鍵詞: | the culture of classroom discussion, algebra concept |
相關次數: | 點閱:3 下載:0 |
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摘 要
本研究主要是針對數學課室討論文化之養成,來探討其對國小六年級學生在代數概念表現上的影響。以新竹市兩所國小六年級各兩個班,兩個班為實驗組,兩個班為控制組,共計研究樣本為121位學生。本研究採用準實驗研究法,來探討實驗組及控制組不同教學方式,即數學討論文化教學及一般教學之學生在數學小數概念表現測驗上的差異。研究結果發現如下:
一、學童在代數概念整體表現之得分情形,實驗組學童的得分很明顯的比控制組好,且達顯著差異。不同成就學童在代數概念整體表現之得分情形,高、中、低成就學童的得分表現實驗組比控制組好,且達顯著性差異。
二、學童在代數子概念之得分表現,在「能用含未知數的等式,表示具體情境中的問題,並解釋算式與原問題情境的關係」、「能發展策略,解決含未知數之算式題,並驗算其解的合理性」,實驗組均高於控制組,且達顯著差異。
三、不同成就學童在代數子概念之得分表現,在「能用含未知數的等式,表示具體情境中的問題,並解釋算式與原問題情境的關係」、「能發展策略,解決含未知數之算式題,並驗算其解的合理性」方面,高、中、低成就學童得分表現,實驗組均高於控制組,且達顯著差異。
四、兩組學生在例行性問題的整體得分表現,實驗組優於控制組.且達顯著性差異;在非例行性問題的整體得分表現,實驗組優於控制組.且達顯著性差異。
五、不同成就學童在「例行性問題」的得分表現,高、中、低成就學童得分表現,實驗組均高於控制組,達顯著差異;在「非例行性問題」的得分表現,高、中、低成就學童得分表現,實驗組均高於控制組,且達顯著差異。
最後根據研究結果,分別對國小六年級數學教育之教師之教學及未來研究提出建議。
Abstract
The purpose of this study was to focus on developing mathematics classroom discussion. It aims to explore the influence on algebra concept performance of sixth grade students. 121 students participated in the study. Four classes out of two of the primary schools in Hsinchu were included. Two classes were the experiment group, while the other two were the control group. The study adopted the quasi- experimental research to explore different teaching methods of the experiment and control groups, namely mathematics teaching with classroom discourse, and general teaching of students in mathematics in terms of the performance differences regarding the algebra concept. The findings is revealed as follows:
1.In general, the experiment group has a better performance in algebra concept test scores than the control group. The difference is quite significant. In addition, the experiment group with different achievements performed better than the control group. Again, a significant difference was seen in the algebra concept performance.
2.Scores of students in experimental group in“Be able to use the quality of unknow ,show the question in the concrete situation,and explain the relation in the formula and question situation”“Develop tactics and solve and contain unknown formula question and test and calculate it separate reasonable”are higher than those in control group in significant differences.
3.In“Be able to use the quality of unknow ,show the question in the concrete situation,and explain the relation in the formula and question situation”“Develop tactics and solve and contain unknown formula question and test and calculate it separate reasonable”students of high, medium, and low achievement in experimental group are higher than those in control group in significant differences.
4.There was a significant difference in the overall test of routine problems between the two groups and in the overall test of non-routine problems. Results show the experimental group performed significantly better than the control group.
5.The score of the students in different levels:For scores concerning routine problems, there was a big difference between the two groups of the low, middle and high level’s students. The experimental group performed better than the control group. For scores centering on the non-routine problems, there was a substantial variation between the two groups of the low, middle and high level’s students, where the experimental group performed better than the control group.
The final research findings may respectively serve as a reference when teaching grade six elementary school students. This may include the material design and future research studies.
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