| 研究生: |
陳宣銘 Syuan-Ming Chen |
|---|---|
| 論文名稱: |
建立線上數學討論社群延伸解釋數學解題活動 Establishing the online mathematics discussion community to extend the explaining mathematical problem-solving activity |
| 指導教授: |
陳德懷
Tai-Wai Chan |
| 口試委員: | |
| 學位類別: |
碩士 Master |
| 系所名稱: |
資訊電機學院 - 網路學習科技研究所 Graduate Institute of Network Learning Technology |
| 論文出版年: | 2018 |
| 畢業學年度: | 106 |
| 語文別: | 中文 |
| 論文頁數: | 117 |
| 中文關鍵詞: | 數學寫作 、解釋數學 、線上討論社群 、中心節點 |
| 外文關鍵詞: | mathematics writing, mathematics problem solving, online community platform, Central node |
| 相關次數: | 點閱:12 下載:0 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
早期台灣學校的數學教育較偏重在花大量的時間來精熟計算能力,缺乏解釋數學的概念,然而在數學學習的過程中,老師也較無法了解學生對數學概念或題目的想法,也無法給予即時的回饋。
為了提升學生的數學認知能力,研究者希望透過數學寫作的方式增進學生的數學溝通、批判和後設思考等高層次認知能力。因此,本研究提出一套結合先前研究團隊「數學解說員」系統的解釋數學解題活動與「推播機制」及「線上數學討論社群」平台。在社群中引進推播機制來增加學生們參與解釋數學解題活動的動機,藉由分享、發表自己的數學寫作讓其他同學給予意見與評論,增加學生間互動的機會,並讓學生在社群中透過觀看同學們的意見和評論,幫助改善自己對數學題目的解釋,增進對數學概念的理解。本研究以桃園市某國小四年級學生29人為研究對象,探討解釋數學解題活動與線上社群平台的介入其對學生的影響為何,並進行不分組的教學實驗,實驗後以描述性統計分析學生在經過寫作練習與社群交流後寫作作品品質前後的比較及學生使用系統的感受。
研究結果顯示,學生在經過解釋數學解題活動及線上社群平台的討論過後,其寫作作品品質優於首次使用數學寫作系統的作品品質;使用系統的感受經過動機問卷的調查後在其各面向皆為偏向同意的結果。此兩項的結果表示學生在實驗中有較高的意願使用此系統以及對數學寫作的作品品質有明顯的提升。
In the early days, the mathematics education in Taiwan schools was more focused on spending a lot of time to master the computing power, lacking the concept of explaining mathematics. However, in the process of mathematics learning, teachers were less able to understand students' ideas about mathematical concepts or topics and also impossible to give immediate feedback.
In order to enhance students' mathematical cognitive abilities, the researchers hope to enhance students' high-level cognitive skills such as mathematics communication, criticism and post-consultation by mathematical writing. Therefore, this study proposes a set of explanatory mathematics problem solving activities combined with the previous research team "mathematical commentator" system and "pushing mechanism" and "online math discussion community". Introduce a pushing mechanism in the community to increase the motivation of students to participate in explaining mathematics problem-solving activities. By sharing and publishing their own mathematics writing, other students can give opinions and comments, and increase opportunities for interaction between students and let students help them improve their interpretation of mathematics topics and improve their understanding of mathematical concepts by watching the opinions and comments of students in the community. This study takes 29 students from a fourth-grade school in Taoyuan City as the research object, discusses the influence of explaining the mathematics problem-solving activities and the intervention of online community platform on students, and conducts teaching experiments without grouping. After descriptive statistical analysis Students are compared before and after the writing practice and community communication to compare the quality of the work and the experience of the students using the system.
The results of the study show that after the students explained the mathematics problem-solving activities and the online community platform, the quality of their writing works is better than that of the first-time use of the mathematics writing system. The feelings of using the system are investigated through the motivation questionnaire. The results of these two items indicate that students have a higher willingness to use the system in the experiment and a significant improvement in the quality of the work written in mathematics.
中文文獻
于富雲、鄭守杰、杜明璋、陳德懷(2003)。網路同儕互評與評量標準來源對批判思考能力之影響。南師學報,37(2),1-21。
王璿(2003)。虛擬社群。南華出版所研究。取自http://mail. nhu. edu. tw/~ society/ej/33/33-25. htm.
古明峰(2000)。教學評量的現況與發展。國教世紀,189,35-42。
呂守純(2006)。數學寫作活動對於提昇四年級學童數學領域學習成效之探討。國立臺南師範學院數學教育研究所碩士論文。全國博碩士論文資訊網,095NTNT5480002。
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。
林倉億(2000)。透過「寫作」促進數學學習。台北通訊,2(4)。取自http://math.ntnu.edu.tw/~horng/history/hpm99.htm#c
林姿飴、楊德清(2005)。淺談數學寫作。台灣數學教師電子期刊,1,12-21。
林清山、張景媛(1993)。國中生後設認知,動機信念與數學解題策略之關系研究。教育心理學報,26,53-74。
洪宗賢(2010)。數學寫作對國小六年級生分數單元解題能力的影響。未出版之碩士論文,國立彰化師範大學科學教育研究所,彰化。
紀詩蕙(2008)。透過數學寫作活動對國小六年級學童在數學表達能力影響之研究。國立屏東教育大學數理教育研究所碩士論文。全國博碩士論文資訊網,097NPTT5476022。
袁媛(2003)。高中網路數學寫作的實施與其對學生數學態度之影響研究。花蓮師範學報,17,193-210。
張基成(2003)。網路學習社群之經營與管理。T&D 飛訊,8,1-11。
張基成、傅心怡(2007)。網路學習社群成員線上討論參與之影響因素。全球華人計算機教育應用學報,4(1),15-28。
張蕙質(2006)。實施數學寫作活動之行動研究對國小學童數學態度與數學成就之影響。國立屏東教育大學數理教育研究所碩士論文。全國博碩士論文資訊網,095NPTT1476017。
陳文章(2010)。數學寫作活動對國小學生數學成就與數學態度之成效研究 (Doctoral dissertation,國立雲林科技大學技術及職業教育研究所碩士班)。
陳映儒(2016)。設計線上閱讀社群激勵機制以提升學生的參與互動。國立中央大學網路學習科技研究所碩士論文。
陳斐卿、江家瑋、張鐵懷、黃佩岑、單維彰(2015)。數學自由擬題之設計與評量-一個合作的取徑。科學教育學刊,23(2),185-211。
曾千芬(2007)。偵錯式數學寫作與回饋活動對於六年級學生學習分數測度構念之影響(未出版之碩士論文)。國立嘉義大學,嘉義市。
曾安如(2004)。國小二年級學童數學寫作活動、數學成就與數學態度之相關研究。國立臺中師範學院教育測驗統計研究所碩士論文。全國博碩士論文資訊網,092NTCTC629009。
曾建智(2010)。八年級學生在數學寫作評量與傳統評量解題表現之比較─以式樣規律問題為例。國立嘉義大學數學教育研究所碩士論文。
黃千芳(2006)。利用數學寫作提升國小學童數學解題能力之行動研究。國立彰化師範大學科學教育研究所碩士論文。全國博碩士論文資訊網,095NCUE5231024。
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。科學教育學刊,16,439-458。
劉祥通、周立勳(1997)。數學寫作活動-國小數學教學的溝通工具。國立嘉義師範學院國民教育學報,3,239-261。
劉祥通、黃國勳 (2005)。數學寫作活動的類型與實例。台灣數學教師 (電子) 期刊,1,2-11。
薛麗卿(1998)。數學寫作活動對國小學生解題能力及數學態度之影響。國立臺灣師範大學教育心理與輔導研究所碩士論文。全國博碩士論文資訊網,087NTNU0328019。
蔡至欣、賴玲玲(2011)。虛擬社群的資訊分享行為。圖書資訊學刊,9(1),161-196。
愛范兒(2014)。冰桶挑戰募款是如何點燃各界的熱情?【科技新聞群組】。取自http://technews.tw/2014/08/19/study-ice-bucket-challenge/
謝蕙如(2016)。「數學解說員」之系統設計與實作──以解釋數學解題活動促進學生數學理解能力。國立中央大學網路學習科技研究所碩士論文。
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季刊,11,
55-65。
英文文獻
Azzolino, A. (1990). Writing as a tool for teaching mathematics: The silent revolution. Teaching and Learning Mathematics in the 1990s, 92-100.
Baym, N. K. (1998). The emergence of on-line community. Cybersociety, 2, 35-68.
Baxter, J. A.,Woodward, J., Olson, D. & Robyns, J. (2002). Blueprint for writing in middle school mathematics. Mathematics Teaching in the Middle School, 8(1), 52-56.
Bell, E. S., & Bell, R. N. (1985). Writing and mathematical problem solving: arguments in favor of synthesis. School Science and Mathematics, 85,210-221.
Borasi, R., & Rose, B. J. (1989). Journal writing and mathematics instruction. Educational Studies in Mathematics, 20, 347-365.
Bruner, J. S. (1966). Toward a theory of instruction (Vol. 59). Harvard University Press.
Burns, M. (2004). Writing in math. Educational Leadership, 62(2), 30-33.
Countryman, J. (1992). Writing to learn mathematics: Strategies That Work. Heinemann, 361 Hanover St., Portsmouth, NH 03801-3912..
Fennell, F., & Rowan, T. (2001). Representation: An important process for teaching and learning mathematics. Teaching Children Mathematics, 7(5), 288-292.
Flower, L., & Hayes, J. R. (1981). A cognitive process theory of writing. College composition and communication, 32(4), 365-387.
Jonassen, D., Peck, K., & Wilson, B. (1999). Learning with technology - A constructivist perspective. Upper Saddle River, NJ: Prentice Hall, Inc.
Kearsley, G. (2000). Online education:Learning and teaching in cyberspace. Belmont, CA: Wadsworth/Thomson Learning.
Kenyon, P. W. (1989). Writing is Problem solving. In P. Connolly, & T. Vilardi,(Eds.) Writing to learn mathematics and science (pp.79-87). New York: Teachers College.
Kosko, K. W. (2016). Making use of what's given: Children's detailing in mathematical argumentative writing. The Journal of Mathematical Behavior, 41, 68-86.
McIntosh, M. E. (1991). No time for writing in your class?. The Mathematics Teacher, 84(6), 423-433.
Miller, L. D. (1991). Writing to learn mathematics. Mathematics Teacher, 84(6), 516-521.
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, VA: Author.
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
Newell, S. (2008). Dirty Whites:" Ruffian-Writing" in Colonial West Africa. Research in African Literatures, 39(4), 1-13.
Palloff, R. & Pratt, K. (1999). Building learning communities in cyberspace. San Francisco, CA: Jossey-Bass Publishers.
Polya, G. (1957). How to solve it: A new aspects of mathematical methods. Prentice University Press.
Rheingold, H. (1993). The virtual community: Finding commection in a computerized world. Addison-Wesley Longman Publishing Co., Inc..
Romm, C., Plisjin, N. R. (1997). Virtual communities and society: Toward and Integrative three phase mode. International Journal of Information Management, 17(4), pp.261-270.
Shield, M., & Galbraith, P. (1998). The analysis of student expository writing in mathematics. Educational Studies in Mathematics, 36 (1), 29–52.
Suh, J., Johnston, C., Jamieson, S., & Mills, M. (2008). Promoting decimal number sense and representational fluency. Mathematics Teaching in the Middle School, 14(1), 44-50.