研究生: |
洪敬傑 |
---|---|
論文名稱: |
國小四年級學生對數學文字題的閱讀理解研究─以「整數加減法運算」為例 A Study on Reading Comprehension of the Mathematical Word Problems for the Fourth Grade Students─Taking Integer Addition and Subtraction as an Example |
指導教授: | 楊文金 |
學位類別: |
碩士 Master |
系所名稱: |
科學教育研究所 Graduate Institute of Science Education |
論文出版年: | 2010 |
畢業學年度: | 99 |
語文別: | 中文 |
論文頁數: | 101 |
中文關鍵詞: | 數學文字題 、閱讀理解 |
英文關鍵詞: | mathematical word problems, reading comprehension |
論文種類: | 學術論文 |
相關次數: | 點閱:237 下載:12 |
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數學閱讀指導是基於學科閱讀指導的必要性而產生,數學教科書是學生學習數學的重要資源和工具。國內的數學課本是以問題為核心概念,其編寫方式的基本假設是透過問題情境的鋪陳及解題策略的分析,來達成概念傳遞的目的,因此文字題是數學課本內概念的主軸。
可是學生在解數學文字題時,不僅要能熟悉計算的過程,同時也要能閱讀文字題的語意部分,理解問題的要求及其所提供的條件來解決問題,也因此造成數學文字題往往是大多數學生害怕的課題,其可能原因是解決一個文字題涉及「計算能力」與「語文理解和數學概念聯合運作的歷程」(秦麗花,1996)。因為從語文式的數學變成形式數學的過程中涉及許多的轉換,導致學生閱讀理解的困難。
本研究欲透過SFL的理論來分析數學文字題,檢視數學文字題中有哪些語言特徵?學生對不同題形的語言特徵的理解情形為何?
所以首先以文獻中對數學文字題的分類標準進行題目的分類,以SFL的理論來分析數學文字題,再請學生閱讀不同類型的數學文字題後進行解題,將學生的分數分成高中低三組,從三組中各挑選兩位學生進行不同語言特徵的訪談。
研究中發現學生易受到題目中體現時態及情態的人際成分的影響,將其理解為「加」或「減」的意思,而忽略過程詞的意義。學生對於合併型題目的連接詞「和」之理解情形,大都表示是加起來的意思。然而學生在比較型題目的環境成份「比」的理解情形分成兩種類型。另外,學生透過算式表達對句子間的理解,大部分學生在改變型、合併型及等化型的題目都能寫出符合題目文字語意順序的算式。
Mathematics reading instruction is a produce derived from the necessity of reading instruction. Mathematics textbooks are essential for students to study mathematics. The mathematics textbooks published by local publishers take the question-oriented approach, which is to help students construct concepts through laying out situations and problem- solving strategies. Therefore, the writing topics are like the main shaft in mathematics textbooks.
In order to solve a problem in their textbooks, students do not only have to be able to calculate but also be able to read the questions correctly, because the writings provide necessary clues to form equations. For this reason, a lot of students are frightened by mathematical word problems. A possible explanation is solving a writing topic involves “the computing power” and “the procedure to combine language understanding and mathematics concept”. The transformation from language coded mathematics to number coded mathematics causes difficulties in understanding mathematical word problems.
This research uses the SFL theory to analyze mathematical word problems, examining language characteristics in mathematical word problems, exploring student understanding to different forms of topics.
Therefore, the first part of the research consists a literature review which aims to classify mathematical word problems by the SFL theory. Then students are asked to solve different types of mathematical word problems. Students are then divided into three groups according to their scores, and two members of each group are selected for an interview to further analyze their understandings to the problems they have tried to solve previously.
The researcher found that students are easily influenced by the interpersonal components in the problems and misunderstand them as “to add” or “to subtract” instead of understanding them as a process phrase. For example, students misunderstand the conjunction word, and, as to add. Nevertheless, most students are able to transform word topics into mathematical expression in the changing, merging and molding topics.
中文部分
李哲迪(2006)。高中物理教科書與學生關於力的話語與合法化的語言策略。國立臺灣師範大學科學教育研究所博士論文,未出版,臺北市。
林俊智(2003)。以系統功能語言學觀點探討不同課文結構對科學文章的理解—以溫度與熱為例。國立臺灣師範大學科學教育研究所碩士論文,未出版,臺北市。
林淑玲(1999)。國小數學學習障礙學生對比較類加減應用題解題表徵之研究。國立台灣師範大學特殊教育研究所碩士論文,未出版,臺北市。
邵光華(2002)。〈數學閱讀:現代數學教育不可忽視的問題〉。2002/03/28,取自中國學習網站http://www.learningchina.com/jxyj/xkjx/00jxb10/
周婉綺(2007)。教學對七年級學生理解科學文本語意的影響-以「植物的基本構造與 功能」單元為例。國立台灣師範大學科學教育研究所碩士論文,未出版,台北市。
胡壯麟、朱永生、張德祿和李戰子(2005)。系統功能語言學概論。北京:北京大學出版社。
柯華葳(2004)。華語文能力測驗編製:硏究與實務。臺北市:遠流。
秦麗花(1996)。國小低年級數學診斷測驗之編制及其功能之研究。高雄市內惟國小,未出版,高雄市。
教育部(2001)。《國民中小學九年一貫課程綱要》。台北:教育部。
許佩玲(2004)。從系統功能語言學觀點探討不同圖文整合方式之科學課文對閱讀理解的影響—以月相單元為例。國立臺灣師範大學科學教育研究所碩士論文,未出版,臺北市。
黃光雄、簡茂發(1994)。《教育研究法》。臺北市:師大書苑。
黃敏晃(1986)。如何解數學題?數學解題策略簡介。科學月刊,18,515-522。
張春興(1999)。教育心理學。台北:東華。
陳世文、楊文金(2006)。以系統功能語言學探討學生對不同科學文本的閱讀理解。師大學報-科學教育類,51(1,2),107-124。
楊文金、陳世文(2008)。科學漢語與科學英語論述特質的比較-以「觀念物理」文本為例。師大學報。
鄭昭明(1993)。認知心理學。台北:桂冠圖書股份有限公司。
英文部分
Allan, B. I. & Bernardo. (1999). Overcoming obstacles in understanding and solving word problem in mathematics. Education Psychology, 19, 149-163 .
Astrid, D. (1994). The Readability of the Mathmatics textbook: With special reference to the mature student. 2003/06/26, Retrieved from UMIProQuest Digital Dissertations. http://wwwlib.umi.com/dissertations/fullcit/MQ44873
Carpenter, T. P., & Moser, J. M.(1982). The development of addition and substracuion problem-solving skills. In T. P. Carpenter, J. M. Moser, & T. A. Romberg(Eds.), Addition and aubtraction:A cognitive perspective(pp. 9-24). Hillsdale, NJ:Erlbaum.
Chall, J. S. (1986). Stages of Reading Development. New York: McGraw-Hill.
Cloer, T. J. (1981). Factors Affecting Comprehension of Math word problems-A Review of the Research. Paper presented at the Annual Meeting of the American Reading Forum. (2nd, Sarasota, FL, December 10-12, 1981)
De Corte, E., Verschaffel, L., & De Win, L. (1985). Influence of rewording verbal problems on children’s problem representations and solutions. Journal of Educational Psychology, 77(4): 460-470.
Esty, W. W. (2003). The Language of Mathematics. 2003/04/24, Retrieved from the World Wide Web: http://server35.hypermart.net/augustusmath/
Fuson, K. C., Carroll, W.M., & Landis, J. (1996). Levels in conceptualizing and solving addition and subtraction compare word problems. Cognition and Instruction, 14, 345-371.
Halliday, M. A. K. (1993). The analysis of scientific texts in English and Chinese. In M. A. K. Halliday & J. R. Martin (Eds.), Writing science: Literacy and discursive power. (pp. 124-132). Pittsburgh: University of Pittsburgh Press.
Halliday, M. A. K. (2004). The language of science. London, Continuum.
Henney, M. (1970). Improving mathematics verbal problem solving ability through reading instruction. Paper presented at the conference of International Reading Association (Anaheim, CA, May 6-9). (ERIC Document Reproduction Service NO. ED 044 243)
Kintsch, W., Greeno, J. G. (1985). Understanding and solving word arithmetic problems. Psychological Review, 93(1):109-129.
Kober, N. (2003). What special problems do children whose native language is not English face in leaening math? 2003/05/03, Retrieved from the World Wide Web: http://www.enc.org/topics/equity/articles/document.shtm?input=ACQ-111329-1329.
O’Halloran, K. L. (2005). Mathematical discourse: Language, symbolism and visual images. New York: Continuum.
Riley, M. S., Greeno, J. G., & Heller, J. I. (1983). Development of children’s problem-solving ability in arithmetic. In H. Ginsburg (Ed.), The Development of Mathematical Thinking. (pp. 153-196). New York: Academic Press.
Unsworth, L. (2001). Teaching multiliteracies across the curriculum: Changing contexts of text and image in classroom practice. Buckingham: Open University Press.
Yore,L.D.,& Denning,D. (1989). Implementing change in secondary science reading and textbook useage: A desired image,a current profile, anda plan for change.