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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/64371
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/64371


    Title: 階層網路在差異化教學的應用
    The application of differentiated instruction by stratum networks
    Authors: 張漢權
    Chang, Han Chuan
    Contributors: 曾正男
    Tzeng, Jeng Nan
    張漢權
    Chang, Han Chuan
    Keywords: 階層網路
    差異化教學
    常態分班
    stratum networks
    differentiated instruction
    mixed-ability grouping
    Date: 2013
    Issue Date: 2014-03-03 15:38:30 (UTC+8)
    Abstract: 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.
    Reference: 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)
    Description: 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
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0100972013
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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