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研究生:徐子桓
研究生(外文):Hsu, Tzu-Huan
論文名稱:以故障樹分析法分析數學系學生微積分學習困難之研究
論文名稱(外文):Analyze the Dilemma About Calculus Learning of Students Using Fault Tree Analysis
指導教授:蕭志如蕭志如引用關係
指導教授(外文):Hsiao, Chih-Ru
口試委員:張秀瑜李源順蕭志如
口試委員(外文):Chang, Shiow-YuLee, Yuan-ShunHsiao, Chih-Ru
口試日期:2019-07-11
學位類別:碩士
校院名稱:東吳大學
系所名稱:數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2019
畢業學年度:107
語文別:英文
論文頁數:17
中文關鍵詞:微積分學習問題認知發展理論故障樹分析
外文關鍵詞:Calculus learning problemsCognitive developmentFault tree analysis
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一直以來,世界各地的學者持續不斷的嘗試用不同方法來研究學生對於數學學習上的問題,希望能夠研擬出對於各種學習問題的解決方法。本文章會著重在分析學生的數學解題過程、容易遇到的問題,進一步探討改善學生數學學習狀況的方式。
Mathematical learning problems have been discussed for many decades. People have used many kinds of method to analyze the way how students learn about mathematic. In this article, we will use several methods to deal with the problems of freshmen’s learning about math. Use fault tree analysis to analyze the cognitive system of students during the course of learning about calculus or linear algebra. Then find out what kind of problem these students have in their cognitive system.
Acknowledgements……………………………………………………I
Abstract………………………………………………………………. II
Introduction…………………………………………………………... 1
Method……………………………………………………………….. 2
Cognitive Development Theory…………………………………… 2
Fault Tree Analysis………………………………………………… 3
Analysis of Variance……………………………………………….. 5
Analysis………………………………………………………………. 6
Fault Tree of Students’ Question Solving………………………….. 6
Method for Obtaining Cut Sets…………………………………….. 7
Sample of the Students’ Learning Problems……………………….. 9
ANOVA…………………………………………………..……...… 12
Conclusion……………………………………………………………. 15
Reference……………………………………………………………... 16
Appendix

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Barlow, R. E., and H. E. Lambert. 1975. Introduction to fault tree analysis. In Reliability and Fault Tree Analysis. R. E. Barlow, J. B. Fussell, and N. D. Singpurwalla eds. SIAM, Philadelphia.

Barlow, R. E., J. B. Fussell, and N. D. Singpurwalla. 1975. Reliability and Fault Tree Analysis. SIAM, Philadelphia.

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CARA Fault Tree. Computer program for fault tree analysis. Available from Sydvest Programvare AS. Internet address: http://www.sydvest.com.

Chatterjee, P. 1975. Modularization of fault trees; A method to reduce the cost of analysis. In Reliability and Fault Tree Analysis. R. E. Barlow, J. B. Fussell, and N. D. Singpurwalla, eds. SIAM, Philadelphia.

Flavell, J. 1985. Cognitive Development (2nd ed.). Englewood Cliffs, NJ : Prentice-Hall.

IEC61025. 1990. Fault Tree Analysis (FTA). International Electrotechnical Commission, Geneva.

Lambert, H. E. 1975. Measures of importance of events and cut sets in fault trees. In Reliability and Fault Tree Analysis. R. E. Barlow, J. B. Fussell, and N. D. Singpurwalla, eds. SIAM, Philadelphia.

Moll, L. C. (Ed.) 1990. Vygotsky and Education: Instructional Implications and Applications of Sociohistorical Psychology. Cambridge, MA: Cambridge University Press.

NASA. 2002. Fault Tree Handbook with Aerospace Applications. NASA Office of Safety and Mission Assurance, Washington, DC.

NUREG-0492 (W. E. Vesely, F. F. Goldberg, N. H. Roberts, and D. F. Hassl). 1981. Fault Tree Handbook. U.S. Nuclear Regulatory Commission, Washington, DC.

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Vygotsky, L. S. 1962. Thought and Language. Cambridge, MA: MIT Press.

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