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題名 階層網路在差異化教學的應用
The application of differentiated instruction by stratum networks
作者 張漢權
Chang, Han Chuan
貢獻者 曾正男
Tzeng, Jeng Nan
張漢權
Chang, Han Chuan
關鍵詞 階層網路
差異化教學
常態分班
stratum networks
differentiated instruction
mixed-ability grouping
日期 2013
上傳時間 3-Mar-2014 15:38:30 (UTC+8)
摘要 差異化教學是目前台灣推動的重點教育政策之一,主要目標是希望教師能針
對學生不同的特性及需求,設計多元的教學活動。

本研究是透過分析學生的測驗結果,來了解學生的學習狀況,並利用階層網
路來建立學生間的教與學網路,進一步讓學生間能透過這樣的網路,進行教與學
的活動,來解決學習上的困難。

在建構出這樣的基本架構後,我們使用Python來撰寫模擬的程式,並將模擬
出的數據,利用Matlab來分析其相關性。

我們的研究結果指出,在常態分佈的班級中,透過這樣的網路,的確能有效
提昇學生學習狀況,而透過我們發展出的網路優化方法,則能夠更快提昇學生學
習的效率。

然而,本論文的研究及模擬僅止於理論上的討論,未來若要再進一步研究,
可以在教學現場實際操作,相信會有更貼近真實狀況的數據,也能夠做進一步改
進我們的研究成果。
Differentiated Instruction is one of the most important education policy currently in Taiwan. The main target is hoping teachers to design multiple teaching approaches for different students by different features and demands.

This study is going to find out students` learning status by analysing their results of tests, and to set up the teaching-and-learning network between students by stratum network. Furthermore, let students solve their problems with teaching each other by the stratum networks.

After setting up this kind of basic structure, we use Python to write the simulator programs, and analysing the correlations of simulated data by Matlab.

Our experimental results show that it is efficient to improve students` learning status through the stratum network. With our modification method to build the stratum networks, the new network is more efficient.

However, this research and simulation of our study is only the theoretical discussion. The further study is that we may experiment on the teaching scene, thus we can get more actual data to improve our study.
參考文獻 1. 教育部. 差異化教學-補充資料 [online] 16322.185.1/school/data/pub/20130712552064.pdf

2.教育部十二年國民基本教育網站. 十二年國民基本教育-參、理念與目標. [online] http://12basic.edu.tw/Detail.php?LevelNo=43.

3. V. K. Balakrishnan, Graph Theory. McGraw-Hill, first edition, 1997.

4. U. S. R. Bondy, John Adrian; Murty. Graph Theory with Applications. North-Holland, 1976.

5. Reinhard Diestel. Graph Theory. Springer, third edition, 2005.

6. Chris Godsil and Gordon Royle, Algebraic Graph Theory. Springer, 2001.

7. Jonathan L. Gross and Jay Yellen. Graph Thoery and Its Applications. CRC Press, 1998.

8. Frank Harary. Graph Theory. Addison Wesley Publishing Company, 1995.

9. Frank Harary, Robert Z. Norman, and Dorwin Cartwright. Structural Models: An Introduction to the Theory of Directed Graphs. Wiley, New York, 1985.

10. Donald Knuth. The Art of Computer Programming: Fundamental Algorithms. Addison-Wesley, third edition, 1997.

11. MathWorks. Two-sample t-test - MATLAB ttest2. [online] http://www.mathworks.com/help/stats/ttest2.html

12. Remus Radu Raluca Tanase. Directed Graphs - Transition Matrices. [online] http://www.math.cornell.edu/~mec/Winter2009/RalucaRemus/Lecture2/lecture2.html

13. Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. Introduction to Algorithms. MIT Press and McGraw-Hill, second edition, 2001.

14.Wikipedia. Tree (data structure), 2013. [online] https://en.wikipedia.org/wiki/Tree_(data_structure)
描述 碩士
國立政治大學
應用數學系數學教學碩士在職專班
100972013
102
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0100972013
資料類型 thesis
dc.contributor.advisor 曾正男zh_TW
dc.contributor.advisor Tzeng, Jeng Nanen_US
dc.contributor.author (Authors) 張漢權zh_TW
dc.contributor.author (Authors) Chang, Han Chuanen_US
dc.creator (作者) 張漢權zh_TW
dc.creator (作者) Chang, Han Chuanen_US
dc.date (日期) 2013en_US
dc.date.accessioned 3-Mar-2014 15:38:30 (UTC+8)-
dc.date.available 3-Mar-2014 15:38:30 (UTC+8)-
dc.date.issued (上傳時間) 3-Mar-2014 15:38:30 (UTC+8)-
dc.identifier (Other Identifiers) G0100972013en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/64371-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學系數學教學碩士在職專班zh_TW
dc.description (描述) 100972013zh_TW
dc.description (描述) 102zh_TW
dc.description.abstract (摘要) 差異化教學是目前台灣推動的重點教育政策之一,主要目標是希望教師能針
對學生不同的特性及需求,設計多元的教學活動。

本研究是透過分析學生的測驗結果,來了解學生的學習狀況,並利用階層網
路來建立學生間的教與學網路,進一步讓學生間能透過這樣的網路,進行教與學
的活動,來解決學習上的困難。

在建構出這樣的基本架構後,我們使用Python來撰寫模擬的程式,並將模擬
出的數據,利用Matlab來分析其相關性。

我們的研究結果指出,在常態分佈的班級中,透過這樣的網路,的確能有效
提昇學生學習狀況,而透過我們發展出的網路優化方法,則能夠更快提昇學生學
習的效率。

然而,本論文的研究及模擬僅止於理論上的討論,未來若要再進一步研究,
可以在教學現場實際操作,相信會有更貼近真實狀況的數據,也能夠做進一步改
進我們的研究成果。
zh_TW
dc.description.abstract (摘要) Differentiated Instruction is one of the most important education policy currently in Taiwan. The main target is hoping teachers to design multiple teaching approaches for different students by different features and demands.

This study is going to find out students` learning status by analysing their results of tests, and to set up the teaching-and-learning network between students by stratum network. Furthermore, let students solve their problems with teaching each other by the stratum networks.

After setting up this kind of basic structure, we use Python to write the simulator programs, and analysing the correlations of simulated data by Matlab.

Our experimental results show that it is efficient to improve students` learning status through the stratum network. With our modification method to build the stratum networks, the new network is more efficient.

However, this research and simulation of our study is only the theoretical discussion. The further study is that we may experiment on the teaching scene, thus we can get more actual data to improve our study.
en_US
dc.description.tableofcontents 第一章、簡介 1
1.1 差異化教學 1
1.2 階層網路 3
1.3 階層網路在差異化教學的應用 4
第二章、階層網路的討論 6
2.1 名詞定義及性質討論 6
2.2 網路優化方法 11
第三章、階層網路在教學上的應用 14
3.1 錯誤題分析 14
3.2 教學關係矩陣 15
3.3 網路優化方法 17
第四章、模擬結果 18
4.1 模擬數據之結果及分析 18
第五章、結論 22
參考文獻 23
附錄 Python程式碼 25
zh_TW
dc.format.extent 1229528 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0100972013en_US
dc.subject (關鍵詞) 階層網路zh_TW
dc.subject (關鍵詞) 差異化教學zh_TW
dc.subject (關鍵詞) 常態分班zh_TW
dc.subject (關鍵詞) stratum networksen_US
dc.subject (關鍵詞) differentiated instructionen_US
dc.subject (關鍵詞) mixed-ability groupingen_US
dc.title (題名) 階層網路在差異化教學的應用zh_TW
dc.title (題名) The application of differentiated instruction by stratum networksen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 1. 教育部. 差異化教學-補充資料 [online] 16322.185.1/school/data/pub/20130712552064.pdf

2.教育部十二年國民基本教育網站. 十二年國民基本教育-參、理念與目標. [online] http://12basic.edu.tw/Detail.php?LevelNo=43.

3. V. K. Balakrishnan, Graph Theory. McGraw-Hill, first edition, 1997.

4. U. S. R. Bondy, John Adrian; Murty. Graph Theory with Applications. North-Holland, 1976.

5. Reinhard Diestel. Graph Theory. Springer, third edition, 2005.

6. Chris Godsil and Gordon Royle, Algebraic Graph Theory. Springer, 2001.

7. Jonathan L. Gross and Jay Yellen. Graph Thoery and Its Applications. CRC Press, 1998.

8. Frank Harary. Graph Theory. Addison Wesley Publishing Company, 1995.

9. Frank Harary, Robert Z. Norman, and Dorwin Cartwright. Structural Models: An Introduction to the Theory of Directed Graphs. Wiley, New York, 1985.

10. Donald Knuth. The Art of Computer Programming: Fundamental Algorithms. Addison-Wesley, third edition, 1997.

11. MathWorks. Two-sample t-test - MATLAB ttest2. [online] http://www.mathworks.com/help/stats/ttest2.html

12. Remus Radu Raluca Tanase. Directed Graphs - Transition Matrices. [online] http://www.math.cornell.edu/~mec/Winter2009/RalucaRemus/Lecture2/lecture2.html

13. Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. Introduction to Algorithms. MIT Press and McGraw-Hill, second edition, 2001.

14.Wikipedia. Tree (data structure), 2013. [online] https://en.wikipedia.org/wiki/Tree_(data_structure)
zh_TW