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研究生: 黃啟晉
Huang, Chi-Jin
論文名稱: 線上數學寫作對國小學童分數解題策略的影響
The effect of online mathematical writing upon problem solving strategies for fractions of elementary students
指導教授: 何榮桂
Ho, Rong-Guey
學位類別: 碩士
Master
系所名稱: 資訊教育研究所
Graduate Institute of Information and Computer Education
論文出版年: 2010
畢業學年度: 98
語文別: 中文
論文頁數: 58
中文關鍵詞: 線上數學寫作wiki分數除法數學解題
英文關鍵詞: online mathematical writing, wiki, fraction division, mathematical problem solving
論文種類: 學術論文
相關次數: 點閱:196下載:16
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  • 數學寫作能促進學生數學的學習成效,故日漸受到許多數學教育者重視,然而搭配數位平台將更能推廣應用。因此,本研究目的為檢視在wiki平台的環境下,採用適當的數學寫作策略進行寫作活動,對於分數除法解題之學習成效的影響,包括成就測驗分數、解題策略量與靈活解題程度的差異情形,以作為學生在線上數學寫作環境下,提升學習成效之參考。
    本研究採不等組前後測設計,以桃園市國小六年級學生60人為受試者,分成二組進行教學實驗,實驗後以獨立樣本t檢定與共變數分析進行資料分析,研究結果如下。
    一、六年級學生使用線上數學寫作比一般教室教學在測驗上可達較高水準。
    二、六年級學生使用線上數學寫作比一般教室教學能有較多的解題策略。
    三、六年級學生使用線上數學寫作比一般教室教學較能靈活解題。

    Mathematical writing benefits to students』 mathematical learning, so it is valued gradually by mathematical educators. And it can be applied more widely with digital platform. The purpose of this study is to examine the learning effects on fraction division problem solving including the difference of the scores in achievement test, the amounts of problem solving strategies and the degree of flexible problem solving, when students studied writing on wiki platform through adequate mathematical writing strategies. The study can be reference for promoting students』 mathematical learning effects through online mathematical writing.
    A nonequivalent pretest-posttest group design was used with 60 participants of two classes of the sixth grade at an elementary school in Taoyuan City. After the experiment, data analysis was adopted independent sample t test and ANCOVA. There were three conclusions as follows:
    1. Using online mathematical writing gets more significant influences on the scores in achievement test than traditional teaching.
    2. Using online mathematical writing has more problem solving strategies than traditional classroom course.
    3. Using online mathematical writing makes students solve problems more flexibly than traditional classroom course.

    摘 要 i Abstract ii 目次 iii 表次 iv 圖次 v 第一章 緒論 1 第一節 研究背景與動機 1 第二節 研究目的 4 第三節 研究問題 4 第二章 文獻探討 5 第一節 數學寫作的意義、相關理論與形式 5 第二節 數學寫作的相關研究 14 第三節 分數概念、錯誤類型與分數解題的相關研究 17 第四節 wiki網路共筆平台與應用wiki平台的實徵研究 22 第三章 方法與程序 26 第一節 參與者 26 第二節 實驗設計 26 第三節 研究工具 27 第四節 實施程序 29 第四章 結果與討論 31 第一節 分數除法單元成就測驗分數的分析 31 第二節 解題策略量的分析 32 第三節 兩組在各題的解題狀況分析 34 第四節 綜合討論 43 第五章 結論與建議 44 第一節 結論 44 第二節 建議 45 參考文獻 47 附錄一 國小六年級分數除法解題成就測驗 52 附錄二 分數除法解題成就測驗難度與鑑別度分析 56 附錄三 部份給分-難度與鑑別度分析公式 57 附錄四 解題狀況表 58

    林福來、黃敏晃、呂玉琴(1996)。分數啟蒙的學習與教學之發展性研究。科學教育學刊,第四卷第二期,161-196。
    王雨涵、游耿能(2007)。應用wiki平台輔助一個設計繪畫課程教學的群組活動。TANET2007 臺灣網際網路研討會論文集〔二〕,台北。
    洪素敏、楊德清(2002)。創意教學∼分數的補救教學。科學育研究與發展季刊,29,33-52
    李源順(2004)。九年一貫數學領域分數和小數能力指標的詮釋—分數四則運算。國科會專案研究計畫報告(報告編號: NSC 92-2522-S-133-002),未出版。
    林倉億(2000)。透過「寫作」促進數學學習。台北通訊,2(4)。
    教育部(2003)。國民中小學九年一貫課程綱要數學學習領域。台北市:作者。
    周立勳、劉祥通(1997)。數學寫作活動-國小數學教學的溝通工具。國民教育研究學報,3,239-262。
    周立勳、劉祥通(1998)。寫作活動對國小學生數學解題能力的影響。教育研究資訊,6(3),46-62。
    楊德清、姜淑珍(2008)。數學寫作融入國三數學課室實踐歷程與影響之研究。科學教育月刊,16(4),439-458。
    魏宗明(1997)。國小實施數學寫作活動之研究, 國立嘉義師範學院國民教育研究所碩士論文,未出版,嘉義。
    魏宗明(1998)。數學寫作活動之實施與功能。科學教育研究與發展,11,55-65。

    Alibali, M. W., Brown, A. N., Stephens, A. C., Kao, Y. S., & Nathan, M. J. (2009). Middle school students』 conceptual understanding of equations: Evidence from writing story problems (WCER Working Paper No. 2009-3). Madison: University of Wisconsin–Madison, Wisconsin Center for Education Research. Retrieved [e.g., April 15, 2009,] from the World Wide Web: http://www.wcer.wisc.edu/publications/workingPapers/papers.php
    Baxter, J. A., Woodward, J., Olson, D. & Robyns, J. (2002). Blueprint for writing in middle school mathematics. Mathematics Teaching in the Middle School, 8, 52-56.
    Behr, M. J., Lesh, R., Post, T. R., & Silver, E. A.(1983). Rational-number concepts. In R. Lesh, & M. Landau, (Eds.), Acquisition of mathematics concepts and processes (pp. 91-126). New York: Academic Press. Retrieved from the World Wide Web: http://www.cehd.umn.edu/rationalnumberproject/83_1.html
    Behr, M. J., Harel, T., Post, T. R., & Lesh, R. (1992). Rational number, ratio, and pro-portion. In D. A. Grouws, (Ed.): Handbook of rearch onmathematics teaching and learning (pp.296-333).New York : MacMillan.
    Bell, E. S., & Bell, R. N. (1985). Writing and mathematics problem solving: Arguments in favor of synthesis. School science and mathematics, 85, 210-221.
    Bishop, A. L. (1989). Mathematical enculturation. Boston, MA: Kluwer Academic Publishers.
    Brenner, M. E., Herman, S., Ho, H. Z. & Zimmer, J. M. (1999). Cross-National comparison of representational competence. Journal for Research in Mathematics Education, 30(5), 541-547.
    Brown, G., & Quinn, R. J. (2006). Algebra students』 difficulty with fractions : An error analysis. The Australian Mathematics Teacher, 62(4). 28-40.
    Bruner, J. S. (1966). Toward a theory of instruction. Cambridge, MA: Harvard University.
    Burks, L. C. (1993). The use of writing as a means of teaching eight-grade student touse executive processes and heuristic strategies to solve matematics problem. The University of Michigan, Ed. Dissertation.
    Burns, M. (2004). Writing in math. Educational Leadership, 62(2), 30-33.
    Charalambous, C. Y., & Panrazi, D. P. (2007). Drawing on a theoretical model to study students』 understandings of fractions. Educational Studies in Mathematics, 64, 293–316.
    Countryman, J.(1992).Writing to learn mathematics , Strategies that work. Heinemann Portsmouth, NH.
    Garofalo, J. (1986). Metacognition knowledge and metacognitive process:Important influences on mathematical performance. Research and Teaching in Developmental Education. 2(2), 34-39.
    Garofalo, J. (1987). Metacognition and school mathematics. Arithmetic Teacher, 34(9), 22-23.
    Hayes, J. R., & Flower, L. S. (1980). Identifying the organization of writing processes. In L. W. Gregg & E. R. Steinberg (Eds.), Cognitive processes in writing. Hillsdale, NJ: Lawrence Erlbaum.
    Jigyel, K. & Fuata』I, K. A. (2007). Students』 conceptions of models of fractions and equivalence. The Australian Mathematics Teacher, 63(4). 28-40. 17-25.
    Johnson, M. (1983). Writing in mathematics classes: A valuable tool for learning. Mathematics Teacher, 76, 117-119.
    Jonassen, D. H. (1994). Thinking technology: Toward a constructivism design model. Educational technology, 34(4), 34-37.
    Kenyon, P. W. (1989). Writing is problem solving. In P. Connolly, & T. Vilardi(Eds.), Writing to learn mathematics and science(pp.73-87). New York: Teachers College.
    Lesh, R.(1979). Mathematical learning disabilities: Considerations for identification, diagnosis, and remediation. In R. Lesh, D. Mierkiewicz, & M. G. Kantowski (Eds.), Applied mathematical problem solving. Columbus, OH: ERIC/SMEAC.
    Li, Y., & Huang, R. (2008). Chinese elementary mathematics teachers』 knowledge in mathematics and pedagogy for teaching: the case of fraction division. ZDM Mathematics Education, 40, 845–859.
    Liedtke, W. W. & Sales, J. (2001). Writing Tasks. Mathematics Teaching in the Middle School, 6(6), 350-355.
    Mack, N. K. (1990). Learning fractions with understanding: Building on informal knowledge. Journal for Research in Mathematics Education , 21(1), 16-32.
    Meier, J. & Richel, T. (1998). Writing in the teaching and learning of mathematics. MAA Note, 48.
    Miller, L. D. (1992). Begin mathematics class with writing. Mathematics Teacher, 85, 354-355.
    National Council of Teachers of Mathematics. (1989). Curriculum and Evaluaion Standards for School Mathematics. Reston, VA: Author.
    National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author. Available: http://standards.nctm.org
    Neil, M.S. (1996). Mathematics the write way: Activities for every elementary classroom. New York: Eye On Education, Inc.
    Netwon, K. J. (2008). An extensive analysis of preservice elementary teachers' knowledge of fractions. American Educational Research Journal, 45(4), 1080-1110.
    Pesek, D. D., & Kirshner, D. (2002). Interference of instrumental instruction in subsequent relational learning. In J. Sowder & B. P. Schappelle (Eds.), Lessons learned from research (pp. 101–107). Reston, VA: National Council of Teachers of Mathematics.
    Peterson, P.L. (1988). Teachers『 and students』 cognitional knowledge for classroom teaching and learning. Educational Researcher, 17(5), 5-14.
    Polya, J. (1957). How to solve it (2nd ed.), Garden City, NY: Doubleday.
    Pugalee, D. K. (2004). A comparison of verbal and written descriptions of Students』 problem solving processes. Educational Studies in Mathematics, 55, 27–47.
    Resnick, L. & Ford, W. (1981). The psychology of mathematics for instuction. Lawrence Erlbaum Associates: Hillsdale, NJ.
    Schoenfeld, A. H. (1987). What『s all the fuss about metacognition?In A. H. Schoenfeld(Ed.). Cognitive science and mathematics education (pp. 189-216), Hillsdale, NJ:Lawrence Erlbaum Associates, Publishers.
    Shield, M. & Galbraith, P. (1998). The analysis of student expository writing in mathematics. Educational Studies in Mathematics, 36, 29–52.
    Tatsuoka,K..K.(1984).Analysis of Error in Fraction Addition and Subtraction Problems.Final report MD:Illinois Univ., Urbaan. Computer-Based Education Research Lab.(ERIC Document Reproduction Service.NO.ED 257 665) .
    Van Horn, C. M. (1994). Effects of using the writing process in combination with traditional problem-solving instruction. Thesis of University of Houston-Clear Lake. (UMI No. 1357101)
    Wade, E. G.. (1994). A study of the effects of a constructivist-base mathematics problem solving instructional program on the attitudes, self-confidence. Unpublished dissertation of New Mexico State University.
    Wilde, S. (1991). Learning to write about mathematics. Arithmetic Teacher, 38, 38-42.
    Yang, D.C. (2005). Developing number sense through mathematical diary writing. Australian Primary Mathematics Classroom, 10(4), 9-14.
    Zhang, L. & Wong, C. L. (2007). A wiki-based collaborative learning design and its effect in secondary math studies. In J. Fong & F. L. Wang (Eds.), Proceedings of Workshop on Blended Learning (pp. 196-205). Hong Kong: City University of Hong Kong.

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