研究生: |
陳佩盈 Pei-Ying Chen |
---|---|
論文名稱: |
國中資源班身心障礙學生之文字題解題能力在動態評量的表現—以「正負數與數線」單元為例 Dynamic Assessment of Performance of Mathematical Word Problems of the Junior-High-School Students with Disabilties - The Example of the Number Line in the Unit "Positive and Negative Numbers" |
指導教授: |
洪儷瑜
Hung, Li-Yu |
學位類別: |
碩士 Master |
系所名稱: |
特殊教育學系 Department of Special Education |
論文出版年: | 2008 |
畢業學年度: | 96 |
語文別: | 中文 |
論文頁數: | 428 |
中文關鍵詞: | 數學文字題 、身心障礙學生 、中介式動態評量 、語文能力 |
英文關鍵詞: | mathematical word problem, disability students, Mediational Dynamic Assessment, reading ability |
論文種類: | 學術論文 |
相關次數: | 點閱:189 下載:11 |
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 |
本研究之目的在探討國中資源班不分類身心障礙學生在數學文字題的解題歷程及錯誤類型,且欲探究中介式動態評量("Mediational" Dynamic Assessment)提升學生在文字題的解題能力之成效。
研究依據國中數學教材中的「正負數與數線」單元來編擬六道題目和七種引導策略,以臺北縣市15所國中資源班之身心障礙學生共32人為研究對象,參與研究學生包括學習障礙、情緒障礙、聽覺障礙、語言障礙、自閉症、亞斯柏格等。資料分析先探討全體學生之解題表現,然後依據語文能力之高低、學障及非學障之分類進行分析,以觀察語文及障礙類別對學生解數學文字題之影響。結果發現:所有學生均具備基本的閱讀及計算能力,解題歷程以問題轉譯的表現較差;另經由中介式動態評量之後,有將近80%的學生能獲得助益。此外,語文能力差者經中介式動態評量的成效最為明顯,且以使用圖示表徵策略來協助解題為最多。
本研究結果對身心障礙學生於數學文字題之解題之研究和教學實務均提出具體建議。
The major purpose of this study is to investigate the mathematical word problem solving process and the error types of the students with disabilities participating in resource-room program (RRP) of the junior high schools. Additionally, this study investigates the changes of the problem-solving ability of the RRP students through the mediational dynamic assessment (MDA).
According to the scope of number line in the unit "positive and negative numbers" of junior-high-school mathematics textbooks, six self-defined mathematical word problems was designed to assess RRP students, and seven mediating strategies were administrated during the problem-sovling process. There were 32 RRP students from 15 junior high schools in Taipei City or Taipei County participating in this study. The categories of these RRP students were learning disability, emotional disability, hearing handicap, language disorder, autism, and Asperger. The main findings of this study are summarized as follows: 1) All of the students appear competent reading and computing abilities in the mathematic word problems; 2) The RRP students show more difficulties in the process of problem translation of mathematic word problems; 3) Almost 80% of RRP students reaped benefit from the MDA; 4) The RRP students with low reading ability benefit more from MDA, and the strategies of the picture representation to solve the mathematic word problems is used the most freguently.
Several recommendations for the further studies of RRP students in the mathematic word problems and educational practice are made on the basis of the findings.
王曼娜(1997)。臺灣原住民國小學童學習潛能之釐測-運用動態評量模式。國立臺灣師範大學特殊教育研究所碩士論文。
王雅蘭、張蓓莉(2004)。國小聽覺障礙學生加、減法文字題閱讀理解能力之研究。特殊教育研究學刊,26,201-219。
王瑋樺(2001)。國小三年級數學學習障礙學生加法文字題解題歷程與補救教學之研究。國立屏東師範學院數理教育研究所碩士論文。
古明峰(1997)。加減法應用題語文知識對問題難度之影響暨動態評量在應用問題之學習與遷移歷程上研究。國立台灣師範大學教育心理與輔導研究所博士論文。
朱經明、蔡玉瑟(2000)。動態評量在診斷國小五年級數學障礙學生錯誤類型之應用成效。特殊教育研究學刊,18,173-189。
吳金聰、施木炎(2005)。國小數學教學的問題及其解決之道-從認知負荷的觀點談起。國教天地,162,23-28。
吳國銘、洪碧霞、邱上真(1995)。國小學童在動態評量中數學解題學習歷程與遷移效益之探討。中國測驗學會測驗年刊,42,61-84。
宋慧敏(2004)。兒童加減文字題解題歷程研究-一位六歲亞斯伯格症兒童的個案研究。國立新竹師範學院特殊教育學系碩士論文。
林沅芝 (2006)。數學問題解決策略教學對國小數學學習障礙學生解題成效之研究。臺北市立教育大學身心障礙教育研究所碩士論文。
林秀燕(2004)。以圖示策略融入低年級教學對改變類及比較類加減法文字題學習成效之研究。屏東師範學院數理教育研究所碩士論文。
林美惠(1996)。題目表徵型式與國小二年級學生加減法解題之相關研究。國立嘉義師範學院國民教育研究所碩士論文。
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。國立臺灣師範大學特殊教育學系碩士論文。
林敏慧(2000)。學習層次和教學策略對國小輕度智障兒童學習不同類型加法應用題成效之影響。國立台灣師範大學特殊教育學系博士論文。
林寶貴、李如鵬(1990)。聽覺障礙學生數學能力測驗之編製及其相關因素之研究。國立彰化師範大學特殊教育研究所碩士論文。
周台傑、詹士宜(1993)。國中智能不足學生數學應用問題解題歷程研究。特殊教育與復健學報,3,179-215。
胡永崇(2005)。評量調整在學習障礙學生之運用。載於洪儷瑜、王瓊珠、陳長益主編,突破學習困難-評量與因應之探討,71-94。台北:心理出版社。
邱上真(2005)。特殊教育導論-帶好班上每位學生。台北:心理出版社。
邱佳寧(2001)。國小數學學習障礙學生解題策略之研究。國立彰化師範大學特殊教育研究所。
南一書局(2006a)。國民小學數學課本。臺南:南一書局企業股份有限公司。
南一書局(2006b)。國民中學數學課本。臺南:南一書局企業股份有限公司。
南一書局(2007a)。國民小學數學課本。臺南:南一書局企業股份有限公司。
南一書局(2007b)。國民中學數學課本。臺南:南一書局企業股份有限公司。
洪美連(1995)。國小聽覺障礙學生數學口語應用問題教學效果之實驗研究。特殊教育研究學刊,13,45-64。
施青豐(2000)。認知解題策略教學對解題困難聽覺障礙學生解題成效之研究。國立臺灣師範大學特殊教育學系碩士論文。
柯華葳(1999a)。閱讀理解困難篩選測驗指導手冊。行政院國家科學委員會特殊教育工作小組印行。
柯華葳(1999b)。基礎數學概念評量指導手冊。行政院國家科學委員會特殊教育工作小組印行。
翁素珍(1989)。國小聽覺障礙學生數學學習困難之調查。特教園丁,4(4),36-43。
翁嘉英(1988)。國小兒童解數學應用問題的認知歷程。國立台灣大學心理學系碩士論文。
秦麗花(2005)。國小四年級學生與學障兒童數學語言理解困難之研究。輯於93年度教育部獎勵特殊教育研究著作成果彙編,37-79。
秦麗花(2006)。從數學閱讀特殊技能看兒童數學閱讀的困難與突破。特殊教育季刊,99,1-12。
張馨尹(2002)。國小輕度智障學生加減應用題解題歷程之研究。國立嘉義大學國民教育研究所碩士論文。
許家驊(2003)。動態評量在國民小學九年一貫課程之教學應用研究。國科會報告NSC91-2413-H-415-009。
許家驊(2005)。動態評量在發展國民小學解題補救教學系統上之應用效益分析研究。國科會報告NSC93-2413-H-415-006。
許家驊(2006)。不同策略教學及鷹架中介設計對國小學生解題學習潛能開展效益影響之動態評量研究。國科會報告NSC94-2413-H-415-005。
康軒文教(2006a)。國民小學數學課本。臺北:康軒文教事業股份公司。
康軒文教(2006b)。國民中學數學課本。臺北:康軒文教事業股份公司。
康軒文教(2007a)。國民小學數學課本。臺北:康軒文教事業股份公司。
康軒文教(2007b)。國民中學數學課本。臺北:康軒文教事業股份公司。
莊麗娟(2005)。從學科學習的觀點檢視動態評量的侷限與再建構。載於洪儷瑜、王瓊珠、陳長益主編,突破學習困難-評量與因應之探討,29-67。台北:心理出版社。
陳明媚、張蓓莉(2003)。國小聽覺障礙學生數學文字題解題歷程之研究。特殊教育研究學刊,25,199-220。
陳明聰、張靖卿(2004)。特殊教育工作者對身心障礙學生測驗調整意見之調查研究。特殊教育與復健學報,12,55-80。
陳鳳如(2007)。國中學生寫作能力的學習潛能評估之分析研究。師大學報,52(2),73-94。
梁瑞真(2005)。國小學習障礙學生加、減法文字題題意理解之研究。國立嘉義大學特殊教育學系碩士論文。
教育部(2003)。國民中小學九年一貫數學學習領域課程綱要。台北市:教育部。
黃怡娟(2004)。國小六年級分數數線補救教學之研究。屏東師範學院數理教育研究所。
黃俊仁(2003)。國小五年級學童對有情境的數學文字題解題相關因素之研究。國立屏東師範學院數學教育研究所碩士論文。
黃桂君(1995)。聽覺障礙學生分數減法演算歷程之診斷分析。特殊教育研究學刊,13,27-44。
葉雪梅(1990)。國小兒童對「比較」類應用問題的解題行為。國立政治大學教育研究所碩士論文。
詹士宜(1991)。國中智能不足學生數學應用問題解題之研究。國立彰化師範大學特殊教育學系碩士論文。
楊美伶、蔣治邦(1992)。國民小學數學科加減法教材關鍵字之分析研究。國教學報,4,109-127。
趙旼冠(2006)。數學障礙學生數學概念理解、數學推理能力與數學解題表現之關係分析研究。國立台南大學特殊教育學系碩士論文。
蔣治邦(1993)。中年級學童解決加減文字題能力之探討:多餘資訊與兩步驟問題。科學教育學刊,1(2),189-212。
鄧少林、蔣治邦(1994)。三、五年級學生對比較應用問題的分類。國教學報,6,97-113。
鄭博信、詹勳國、劉曼麗、王瑋樺(2000)。數學學習障礙學生解題與錯誤類型之研究。八十九學年度師範學院教育學術論文發表會論文集,光碟數學教育類。新竹,臺灣:國立新竹師範學院。
盧台華(1995)。身心障礙學生數學能力之比較研究。特殊教育研究學刊,12,25-50。
翰林出版(2006a)。國民小學數學課本。臺南:翰林出版事業股份有限公司。
翰林出版(2006b)。國民中學數學課本。臺南:翰林出版事業股份有限公司。
翰林出版(2007a)。國民小學數學課本。臺南:翰林出版事業股份有限公司。
翰林出版(2007b)。國民中學數學課本。臺南:翰林出版事業股份有限公司。
謝毅興(1991)。兒童解數學應用問題的策略。國立台灣大學心理學系碩士論文。
Baroody, A. J., Gannon, K. E., Berent, R., & Ginsburg, H.P. (1983). The development of basic formal math abilities.
Budoff, M. (1987a). The validity of learning potential assessment. In C. S. Lidz (Ed.) Dynamic assessment: An interactional approach to evaluating learning potential (pp.52-81). New York: Guilford Press.
Budoff, M. (1987b). Measures for assessing learning potential. In C. S. Lidz (Ed.) Dynamic assessment: An interactional approach to evaluating learning potential (pp.173-195). New York: Guilford Press.
Burns, M. S. (1985). Comparison of “graduated prompt” and “mediational” dynamic assessment and static assessment with young children. Alternative assessment of handicapped:A series of technical reports and working papers. Technical Report No. 2, 1-32.
Burns, M. S., Vye, N. J., Bransford, J. D., Delclos, V., & Ogan, T. (1987). Static and dynamic measures of learning in young handicapped children. Diagnostique, 12, 59-73.
Campione, J. C. & Brown, A. L. (1987). Linking dynamic assessment with school achievement. In C. S. Lidz (Ed.) Dynamic assessment: An interactional approach to evaluating learning potential (pp.82-115). New York: Guilford Press.
Carlson, J. S. & Wiedl, K. H. (1979). Toward a differential testing approach: Testing-the-limits employing the Raven Matrices. Intelligence, 3, 323-344.
Chung, K. K. H. & Tam, Y. H. (2005). Effects of cognitive-based instruction on mathematical problem solving by learners with mild intellectual disabilities. Journal of Intellectual & Developmental Disability, 30(4), 207-216.
Cummins, D.D. (1991). Children’s interpretations of arithmetic word problems. Cognition and Intruction, 8, 261-289.
Cummins, D.D., Kintsch, W., Reusser, K. & Weimer, R. (1988). The role of understanding in solving word problems. Cognitive Psychology, 20, 405-438.
Education Development Center of University of Illinois (1973). Two points to two points on a number line. supplement: graphing number line jumping rules, part two. In The arithmetic project course for teachers (Vol. 14): Carnegie Corporation of New York, N.Y.: National Science Fundation, Washington, D.C.
Embretson, S. E. (1987). Toward development of a psychometric approach. In C. S. Lidz (Ed.) Dynamic assessment: An interactional approach to evaluating learning potential (pp.141-170). New York: Guilford Press.
Erez, G. & Peled, I. (2001). Cognition and metacognition: Evidence of higher thinking in problem-solving of adolescents with mental retardation. Education and Training in Mental Retardation and Developmental Disabilities, 36(1), 83-93.
Ernest, P. (1985). The number line as a teaching aid. Educational Studies in Mathematics, 16, 411-424.
Ferkis, M. A. & Zentall, S. S. (1993). Mathematical problem solving for youth ADHD, with and without learning disabilities. Learning Disability Quarterly, 16, 6-17.
Feuerstein, R. (1979). The dynamic assessment of retarded performers: the learning potential assessment device theory, instruments, and techniques. Glenview, IL: Scott, Foresman and Company.
Feuerstein, R., Rand, Y., Jensen, M. R., Kaniel, S. & Tzuriel, D. (1987). Prerequistites for assessment of learning potential: The LPAD Model. In C. S. Lidz (Ed.) Dynamic assessment: An interactional approach to evaluating learning potential (pp.35-51). New York: Guilford Press.
Fuchs, L. S. & Fuchs, D. (2001). Principles for the prevention and intervention of mathematics difficulties. Learning Disabilities Research & Practice, 16(2), 85-95.
Garcia, A. I., Jimenez, J. E. & Hess, S. (2006). Solving arithmetic word problems: An analysis of classification as a function of difficulty in children with and without arithmetic LD. Journal of Learning Disabilities. 39(3), 270-281.
Geary, D. C., & Hoard, M. K. (2001). Numerical and arithmetical deficits in learning-disabled children: Relation to dyscalculia and dyslexia. Aphasiology, 15(7), 635-647.
Geary, D. C., & Hoard, M. K. (2002). Learning disabilities in basic mathematics: Deficits in memory and cognition. In J. M. Royer (Eds.), Mathematical cognition (pp. 93-115). Greenwich, CT: Information Age Publishing.
Geary, D. C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37 (1), 4-15.
Gerber, M. M., Semmel, D. S., & Semmel, M. I. (1994). Computer-based dynamic assessment of multidigit multiplication. Exceptional Children, 61(2), 114-125.
Gerber, M. M. & Zawaiza, T. R. W. (1993). Effects of explicit instruction on math word-problem solving by community college students with learning disabilities. Learning Disability Quarterly, 16, 64-79.
Gersten, R. & Chard, D. (1999). Number sense: Rethinking arithmetic instruction for students with mathematical disabilities. The Journal of Special Education, 33(1), 18-28.
Hativa, N., & Cohen, D. (1995). Self learning of negative number concepts by lower division elementary students through solving computer-provided numerical problems. Educational Studies in Mathematics, 28, 401-431.
Haywood, H. C. & Brown, A. L. (2002). Dynamic approach to psychoeducational assessment. School Psychology Review, 19(4), 411-423.
Haywood, H. C. & Tzuriel, D. (2002). Applications and challenges in dynamic assessment. Peabody Journal of Education, 77(2), 40-63.
Hillard, A. G. (1992). The pitfalls and promises of special education practice. Exceptional Children, 59(2), 168-172.
Hudson, T. (1983). Correspondences and numerical differences between disjoint sets. Children Development, 54, 84-90.
Ives, B. (2007). Graphic organizers applied to secondary algebra instruction for students with learning disorders. Learning Disabilities Research & Practice, 22(2), 110-118.
Jitendra, A. K. & Kameenui, E. J. (1993). An exploratory study of dynamic assessment involving two instructional strategies on experts and novices’ performance in solving part-whole mathematical word problems. Diagnostique, 18(4), 305-324.
Jitendra, A. K. & Kameenui, E. J. (1996). Experts’ and novices’ error patterns in solving part-whole mathematical word problem. The Journal of Educational Research, 90(1), 42-51.
Lauchlan, F. & Elliott, J. (2001). The psychological assessment of learning potential. British Journal of Educational Psychology, 71, 647-665.
Lidz, C. S. (1991). Practitioner’s guide to dynamic assessment. New York: The Guilford Press.
Mayer, R. E. (1992). Thinking, problem solving, cognition. Second edition. New York: W H Freeman and Company.
Michaelidou, N., Gagatsis, A., & Pitta-Pantazi, D. (2004). The number line as a representation of decimal numbers: a research with sixth grade students. Paper presented at the the 28th Conference of the International Group of the Psychology of Mathematics Education, pp. 305-312.
Montague, M. & Applegate, B. (1993). Middle school students’ mathematical problem solving: An analysis of think-aloud protocols. Learning Disability Quarterly, 16, 19-31.
Montague, M. & Jitendra, A. K. (2006). Teaching mathematics to middle school students with learning difficulties. New York: The Guilford Press.
Mukhopadhyay, S., Pesnick, L. B., & Schauble, L. (1990). Social sense-marking in mathematics: children's ideas of negative numbers: Learning Research and Development Center, University of Pittsburgh, ED342632.
National Council of Teachers of Mathematics. (1968). Topics in mathematics for elementary school teachers: National Council of Teachers of Mathematics, Inc.
National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. Reston, Virginia: Author.
Olsen, J. R. (1995). The effect of the use of number lines representations on student understanding of basic function concepts. Paper presented at the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education.
Pagni, D. (2004). Fractions and decimals. Australian Mathematics Teacher, 60(4), 28-30.
Parmar, R. S., Cawley, J. F. & Miller, J. H. (1994). Differences in mathematics performance between students with learning disabilities and students with mild retardation. Exceptional children, 60(6), 549-563.
Polya, G. (1945). How to solve it: a new aspect of mathematical method. Princeton University Press.
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. 153-200). New York: Academic Press.
Rivera, D. P. (1997). Mathematics education and students with learning disabilities: Introduction to the special series. Journal of Learning Disabilities, 30(1), 2-19.
Swanson, H. L. (1994). The role of working memory and dynamic assessment in the classification of children with learning disabilities. Learning Disabilities Resaerch & Practice, 9(4), 190-202.
Swanson, H. L. & Howard, C. B. (2005). Children with reading disabilities: Does dynamic assessment help in the classification? Learning Disability Quarterly, 28(1), 17-34.
Tzuriel, D. (2000a). Dynamic assessment of young children: Educational and intervention perspectives. Educational Psychology Review, 12(4), 385-435.
Tzuriel, D. (2000b). The seria-think instrument: Development of a dynamic test for young children. School Psychology International, 21, 177-194.
Voluntary Services Overseas. (1992). Teaching directed numbers at secondary school level (Vol. 7). St. Lucia: Voluntary Services Overseas Resource Centre, Castries.
Vye, N. J., Burns, M. S., Delclos, V. R. & Bransford, J. D. (1987). A comprehensive approach to assessing intellectually handicapped children. In C. S. Lidz (Ed.) Dynamic assessment: An interactional approach to evaluating learning potential (pp.327-359). New York: Guilford Press.
Zentall, S. S. & Ferkis, M. A. (1993). Mathematical problem solving for youth with ADHD, with and without learning disabilities. Learning disability quarterly, 16, 6-17.
Zentall, S. S., Smith, Y. N., Lee, Y. B. & Wieczorek, C. (1994). Mathematical outcomes of attention-deficit hyperactivity disorder. Journal of learning disabilities, 27(8), 510-519.