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題名: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
作者:林敏慧
校院名稱:國立臺灣師範大學
系所名稱:特殊教育研究所
指導教授:陳榮華
學位類別:博士
出版日期:2000
主題關鍵詞:學習層次教學策略輕度智障兒童加法應用題
原始連結:連回原系統網址new window
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本研究之目的有三:1.初探加法應用題之學習層次。2.探討學習層次對輕度智障兒童學習加法應用題解題成績之影響。3.探討教學策略對輕度智障兒童學習加法應用題解題成績之影響。針對上述三項研究問題,依序進行下列三項研究子題。
研究子題一「加法應用題學習層次之建立」,以二百名國小三、六年級的普通學童為研究對象,採用測驗法,測試每位受試者在「基本加算和解題能力測驗」上的作業成績,由於此套研究者自編的測驗卷上,包含七類加法應用題,每類題均有九題,總共六十三題,故根據全體樣本的施測結果,可以分別求出各類型題的通過百分比,與其間的相互依賴關係。資料採用通過百分比和Novillis模式加以處理。研究結果發現:通過百分比計算各類型題的答對比率來界定各類型題的難易度,Novillis模式則是計算每位受試者的平均答對題數來確認兩種類型題之間的難度階層。經過本研究的探討,三位數加三位數之內加法應用題的學習層次,初步建構如下:「合併類」或「改變類1」→「改變類2」→「比較類1」 →「平衡類1」→「平衡類2」→「比較類2」。
研究子題二「學習層次對輕度智障兒童學習加法應用題解題成績之影響」,根據研究子題一的結果,研究者使用加法應用題的學習層次來選題,作為本研究的實驗材料。選取國小卅二名三至六年級的輕度智障學生為研究對象,依其智力和解題技能分成兩個實驗組,分別接受不同學習層次加法應用題的實驗教學,採單因子實驗設計,自變項為不同學習層次組別,依變項為前後測作業的得分。資料採用相依樣本單因子變異數分析和重複量數單因子共變數分析加以處理。研究結果發現:輕度智障學生經過教學之後,在教學類型題和遷移類型題的前後測得分達到組內的顯著差異。而不同學習層次組別之輕度智障兒童經過教學之後,在教學類型題和遷移類型題的後測得分並未達到顯著差異。
研究子題三「教學策略對輕度智障兒童學習加法應用題解題成績之影響」,根據研究子題二的結果,選取兩名在前測、教學和後測得分均為0分的輕度智障學生為研究對象,依其解題錯誤的情形接受個別化教學,採交替處理實驗設計,自變項為教學策略,依變項為各項數學作業的得分。施測所得資料分別採用答對百分比和曲線圖分開處理。研究結果發現:實驗教學開始之後,教學策略產生立即性的教學效果,且進行到第四天之後,兩名受試者都達到滿分的標準,且維持了穩定的進步情形。惟受試者在加法應用題之進步量和有效促進受試者解題得分之教學策略類別有其個別差異。
根據上述結果,本研究對數學應用題之教學及未來研究提出數點建議。
THE EFFECTS OF LEARNING HIERARCHIES AND PROBLEM-SOLVING STRATEGIES ON THE ADDITION WORD PROBLEMS FOR THE
MILDLY RETARDED STUDENTS FROM THE ELEMENTARY SCHOOLS
Min-Huey Lin
Abstract
The purposes of this study were as follows : 1) to study the learning hierarchies of the addition word problems, 2)to study the influence of the learning hierarchies
on the abilities in solving the addition word problems from mildly retarded students’ , 3) to study the influence of the problem-solving strategies from the same group.
This study comprised three researches. The research 1. was designed to find out the learning hierarchies of addition word problems. The subjects of the study were 200 students from third and sixth grades students in elementary schools. The students had to answer the addition word problems in different context of language knowledge. The word problems used in this study included the patterns of change, combine, compare, and equalicy problems. The percentage and rate of correct responses in addition word problems were used as the indexes of learning hierarchies. The main finding of this research was that the patterns of the addition word problems were
in difficult order. The learning hierarchies of the addition word problems were
“combine“ or “change 1”, “change 2”, “compare 1”, “equalicy 1”, “equalicy 1”, and “compare 2”.
The research 2, based on the results of the research 1, was designed to explore the influence of the learning hierarchies on 32 mildly retarded students’ abilities in problem-solving. There were two experimental groups in these 32 students . In training stage, the group1 received the instruction of the lower learning hierarchies
in problem-solving, and the group2 received the instruction of the higher learning hierarchies in problem-solving. In pre-test and post-test stages, both groups answered on both different levels of the difficulty in problem-solving. The scores of correct responses in problem-solving were used as the index of the improvement of the students. They were found that the instruction of the learning hierarchies could improve problem-solving performance of the students, and the improvement was not significant between the two groups.
The research 3, based on the results of the research 2, was designed to investigate
the effect of three problem-solving strategies for two of the mildly retarded students with serious problem-solving difficulties. These Strategies included the object
strategy, the diagram strategy, and the cognitive strategy. An alternating treatment design was used. The percentage and rate of correct responses in problem-solving were used as the indexes of the improvement of the students. The clinical interviews and the protocol analysis were used to understand the error of the students’ problem-solving process . The main findings of this study were as follows: 1)during the instruction period , the correct percentage of the specific type of the problem was increased. But individual improved scores and problem-solving strategies were different. 2)after the instruction period, the percentage of correct responses of two
students increased obviously, whether the rate of correct responses was increased during instruction stage and maintain stage. 3)during the transfer period, the performances of the students in both groups was not superior to that of the pre-test period.
According to the aforementioned findings, application of the mathematical word problem instruction and further research were recommended.
參考文獻
王天苗 (民75):智能不足兒童與普通兒童數學能力之差異。特殊教育研究學刊, 2期, 163-176頁。new window
石兆蓮 (民78 ):不同加算學習層次對國民小學兒童加算學習效
果的影響。國立台灣師範大學教育心理與輔導研究所碩士論文。
古明峰 (民86):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。
呂玉琴 (民86):國小低年級學生對加減法文字題的瞭解。載於中華民國第十三屆科學教育學術研討手冊及短篇論文彙集(335-361頁)

吳貞祥、李玲慧 (民62):台北市國民中學益智班學生對於三位數加減運算能力之研究。台北市女子師範專科學校學報,3期,105-116頁。
吳昭容 (民79):圖示對國小學童解數學應用題之影響。國立台
灣大學心理研究所獨立研究。
何縕琪 (民83):表徵策略教學對提升國小低解題正確率學生解題表現之效果 研究。國立台灣師範大學教育心理與輔導研究所碩士new window
論文。
吳權威 (民79):專家系統在加減運算學習層次之應用研究。國
立台灣師範大學工業教育研究所碩士論文。
周台傑 (民78):國民中學智能不足學生數學能力之比較。特殊
教育學報, 4期, 183-214頁。
周台傑 (民80):國民智能不足學生數學應用題解題之研究。彰化:國立彰化師範大學特殊教育中心。new window
周台傑 (民85):國民小學數學學習障礙、智能不足與正常學生數學應用問題解題之比較研究。國科會專案報告, NSC 84-2421-H-018-001。new window
周台傑 、詹士宜(民82):國民智能不足學生數學應用問題解題new window
歷程研究。特殊教育與復健學報, 3期, 179-215頁。
林淑玲 (民88):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。
邱上真、王惠川、朱婉豔、沈明錦 (民81):國民中小學數學科解題歷程導向之評量。特殊教育與復健學報, 2期, 235-273頁。
邱上真、詹士宜、王惠川、吳建志 (民84):解題歷程導向教學
對國小四年級數學科低成就學生解題表現之成效研究。特殊教育與
復健學報, 4期, 75-108頁。
施青豐 (民88):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。國立台灣師範大學特殊教育研究所碩士論文。
柯平順、林敏慧編 (民83):柯氏國民小學數學科成就測驗系列
。台北市:中國行為科學社。
徐文鈺 (民81):圖示策略訓練課程對國小五年級學生的數學應用題解題能力與錯誤類型之影響。國立台灣師範大學教育心理與輔
導研究所碩士論文。
國立編譯館 (民82):國民小學教科書-數學(第二冊)。台北市。
國立編譯館 (民82):國民小學教科書-數學(第三冊)。台北市。
陳家弘 (民87):建構教學對國小四年級數學學習障礙學生解四則運算問題之研究。國立花蓮師範學院國民教育研究所碩士論文。
陳榮華 (民67):加減運算學習層次之研究。國立台灣師範大學
特殊教育中心。
陳榮華 (民68):學習層次與增強因素對智能不足兒童加算學習new window
成效之影響。師大教育心理學報, 12期, 51-68頁。
陳榮華 (民69):遷移類型、增強因素與教學策略對智能不足兒
童加算學習成效之影響。師大教育心理學報, 13期, 27-46頁。
陳榮華修訂 (民86):魏氏兒童智慧量表(第三版)。台北市:中國
行為科學社。
秦麗花 (民84):國小數學學障兒童數學解題錯誤類型分析。特new window
殊教育季刊, 55期, 33-38頁。
詹士宜 (民81):國中智能不足學生與同心齡正常兒童解數學
「比較」類文字題比較研究。特殊教育與復建學報, 2期, 133-169
頁。
鄭昭明 (民76):知識的傳遞與理解歷程。行政院國家科學委員會認知與學習第一次研究會專集論文。
盧台華主編 (民80):身心障礙學生數學科直接教學與補救課程綱要與教材。台北市政府教育局。
盧台華 (民84):身心障礙學生數學能力之比較研究。特殊教育研究學刊, 12期, 25-50頁。new window
謝毅興 (民80):國小兒童解數學應用問題的策略。國立台灣大
學心理學研究所碩士論文。
鐘樹椽、何素華、林菁 (民84):不同教學互動策略之電腦輔助學習在輕度智障兒童加減概念學習上之研究。嘉義師院學報,9期,
223-296頁。
Arthur, J. B. (1996). Self-invented addition strategies by children
with mental retardation. American Journal on Mental Retardation,
101(1), 72-89.
Babbitt, B. C. (1990). Error Patterns in problem solving. (ERIC
Document Reproduction Service NO.ED 338 530).
Bilsky, L. H., & Judd, T. (1986). Sources of difficulty in the solution
of verbal arithmetic problems by mentally retarded and nonretarded
individuals. American Journal of Mental Deficiency, 90(4), 395- 402.
Carpenter, T. P., & Moser, J. M. (1984). The acquisition of addition
and subtraction concepts in grades one through three. Journal for
Research in Mathematics Education, 15, 179-202.
Case, L. P., Harris, K. R., & Graham, S. (1992). Improving the
mathematical problem-solving skills of students with learning disabilities : self-regulated strategy development. The Journal Of Special Education, 26, 1-19.
Creekmore, W. N., & Creekmore, N. N. (1983). Math strategy for MH children. Academic Therapy, 19(1), 65-71.
De Corte, E., & Verschaffel, l. (1991). Some factors influencing the
solution of addition and subtraction word problems. In K. Durkin & B.
Shire (Eds.), Language in mathematical education. London: Open University.
Dickson, L., Brown, M., & Gibson, O. (1984). Children learning mathematics:a teacher’s guide to recent research. Oxford:Alden Press.
Dunn, L. M. (ED.) (1973). Exceptional children in schools : special Education in Transition. New York : Holt, Rinehart & Winston.
Embretson, S. (1984). A general latent trait model for response process. Psychometric, 49(2), 175-186.
Fleischner, F, E., Garnett, K., & Shepard, M. (1982). Proficiency
in arithmetic basic fact computation by learning disabled and nondisabled
children. Focus on Learning Problems in Mathematics, 4(2), 47-55.
Fuson, K. C. (1992). Research on whole number addition and
subtraction. In D. A. Grows (Ed.), Handbook of research on
mathematics teaching and learning, pp.243-275. New York : Macmillan.
Gagne’, R. M. (1965). The conditions of learning. New York : Holt,
Rinehart & Winston.
Gagne’, R. M. (1970). Conditions of learning (2nd ed.). New York :
Holt, Rinehart & Winston.
Garnett, K., & Fleischner, J. J. (1983). Automatization and basic fact
Performance of normal and learning disabled children. Learning Disability Quarterly, 6, 223-230.
Ginsburg, H. P. (1987). Assessing arithmetic. In D. D. Hammill (Ed.),
Assessing the abilities and instructional needs of student ( pp. 412-503). Austin, TX : PRO-ED.
Goldman, S.R., & Pellegrino, J. W. (1987). Information processing
and educational microcomputer technology : where fo we go form here?
Journal of Learning Disabilities, 20, 144-154.
Goodstein, H. A., Kahn, H., & Cawley, J. E. (1976) . The Acehive-
ment of Educable mentally retarded children on the Key Math Diagnostic
Arithmetic Test. the Journal of Special Education , 10, 61-70.
Hasher, L., & Zacks, R. T. (1979). Automatic and effortful processes in memory. Journal of Experimental Psychology, 108, 356-388.
Hasselbring, T., Goin, L. I., & Bransford, J. D. (1988). Developing meth automaticity in learning handicapped children : the roles of computerized drill and practice. Focus on Exceptional Children, 20(6),
1-7.
Heller, J. I., & Greeno, J. G. (1978). Semantic processing in arithmetic word problem solving. Paper presented at the Midwestern Psychological Association, Chicago, May.
Huinker, D. M. (1992). Effects of instruction using part-whole
concepts with one-step and two-step word problems. (ERIC Document
Reproduction Service NO.ED 353 133).
Hutchison, N. L. (1993). Effects of cognitive strategy instruction on
algebra problem solving of adolescent with learning disabilities. Learning
Disability Quarterly, 16, 34-63.
Jaspers, W. M., & Lieshout, E. C. D. (1987). A computerized training procedure for solving arithmetic word problems with the aid of visual schemes. (ERIC Document Reproduction Service NO.ED 293 698).
Jitendra, A. K., & Hoff, K. E. (1995). Schema-based instruction on
word problem solving performance of students with learning disabilities. (ERIC Document Reproduction Service NO.ED 381 990).
Jitendra, A. K., & Hoff, K. E. (1996a). The effects of schema-based
instruction on mathematical word problem solving performance of
students with learning disabilities. Journal of Learning Disabilities, 29,
422-431.
Jitendra, A. K., & Hoff, K. E. (1996b). The differential effects of
two strategies on the acquisition, maintenance, and generalization of
mathematical word problem solving by students with mild disabilities
and at-risk students. (ERIC Document Reproduction Service NO.
ED 395 786).
Jitendra, A. K., Hoff, K. E., & Beck, M. M. (1997). The role of
schema-based instruction on solving mulitistep word problems. (ERIC Document Reproduction Service NO.ED 410 697).
Jitendra , A., & Xin, Y. P. (1997). Mathematical word-problem-solving instruction for students with mild disabilities and students at risk
for math failure:a research synthesis. the Journal of Special Education,
30(4), 412-438.
Judd, T. P., & Bilsky, L. H. (1989). Comprehension and memory in
the solution of verbal arithmetic problem by retarded and nonretarded
individual. Journal of Educational Psychology, 81(4), 541-546.
Klausmeier, H. J., & Check, J. (1962). Retention and transfer in children of low, average, and high intelligence. Journal of Educational Research, 55, 319-322.
Klausmeier, H. J., & Feldhusen , J. F. (1959). Retention in arithmetic among children of low, average, and high intelligence. Journal of Educational Psychology, 50, 88-92.
Kuder, G. F., & Richardson, M. W. (1937). The theory of the estimation of the test reliability. Psychometrika, 2, 151-160.new window
Kolstoe, O. P. (1976). Teaching educable mentally retarded children(2nd Ed.), New York:Holt, Rinehart & Winston.
Kopp, K. H., & Vardever, T. R. (1979). The efficacy of computa-tional mathematics monitoring system for the minimally handicapped child. (ERIC Document Reproduction Service No. ED 171 000)
Lancioni, G. E., Smeets, P. M., & Oliva, D. (1987). Introducing EMR
children to arithmetical operations : a program involving pictorial problem and distinctive-feature prompts. Research in Developmental Disabilities,
8, 467-485.
Leon, J. A., & Pepe, H. J. (1983). Self-instructional training : cognitive behavior modification for remediating arithmetic deficits.
Exceptional Children, 50(1), 54-60.
Lewis, A. B., & Mayer, R. E. (1987). Students'' miscomprehension of relational statements in arithematic word problems. Journal of
Educational Psychology, 79, 363-371.
Mayer, R. E. (1982). Memory for algebra story problems. Journal of Educational Psychology, 74, 199-216.
Mayer, R. E. (1985). Mathematical ability. In R. J. Sternburg (Ed.).
Human abilities : an information-processing approach ( pp.127-150).
New York : Freeman.
McIntyre, R. & Dingman, H. (1963). Mental age vs learning ability
: an investigation of transfer of training between hierarchical levels. American Journal of Mental Deficiency, 78, 396-403.
Mercer, C., & Miller, S. (1992). Teaching students with learning
problems in Math to acquise, understand and apply basic math facts.
Remedial and Special Education, 13(3), 19-35.
Miller, S. P., & Mercer, C. D. (1993). Using a graduated word
problem sequence to promote problem-solving skills. Learning Disabilities Research & Practice, 8(3), 169-174.
Montague, M. (1992). The effects of cognitive and metacognitive
strategy instruction on the mathematical problem solving of middle school
students with learning disabilities. Journal of Learning Disabilities , 25(4), 230-248.
Montague, M., Applegate, B., & Marquard, K. (1993). Cognitive strategy instruction and mathematical problem-solving performance of
students with learning disabilities. Learning Disabilities Research
& Practice, 8(4), 223-232.
Montague, M., & Bos, C. S. (1986). The effect of cognitive strategy
training on verbal math solving performance of learning disabled adolescents. Journal of Learning Disabilities, 19, 26-33.
Parmar, R. S. (1991). Protocol analysis of strategies used by students with mild disablities when solving arithmetic word problems.
Diagnostique, 17, 227-243.
Podell, D. M., & Tournaki-Rein, N., & Lin, A. (1992). Automatiza-tion of mathematics skill via computer-assisted instruction among students with mild mental handicapped. Education and Training in Mental
Retardation, 200-206.
Radatz, H. (1979). Error analysis in mathematics education. Journal
For Research in Mathematics Education, 10, 163-172.
Reisnick, L. B., Wang, M. C., & Kaplan, J. (1973). Task analysis in curriculum design : A hierarchically sequenced introductory mathematics
curriculum. Journal of Applied Behavior Analysis, 6, 679-710.
Riely, M. S. (1981). Conceptual and procedural knowledge in development. Unpublished master’s thesis, University of Pittsburgh.
Riely, M. S., Greeno, J. G., & Heller, J. I. (1983). Development of
children''s problem-solving ability. In H. P. Ginsberg (Ed.), The develop-
ment of mathematical thinking (pp. 153-196). New York, NY:Academic Press.
Russell, R. L., & Gingsburg, H. P. (1984). Cognitive anslysis of
children’s mathematics difficulties. Cognition and Instruction, 1, 217-244.
Smith, D. D., & Lovitt, T. C. (1975). The use of modeling technique to influence the acquisition of computational arithmetic skills in learning-
disabled children. In E. Ramp & Sems (Eds.), Behavior analysis : areas of research and application(pp. 283-308). New Jersey : Prentice-Hall.
Swanson, H. L., & Cooney, J. B. (1985). Strategy transformation in learning disabled and nondisabled children. Learning Disabilities Quarterly, 8, 221-230.
Torgesen, J. K., & Young, K. A. (1983). Priorities for the use of microcomputers with learning disabled children. Journal of Learning
Disabilities, 16, 234-237.
Walker, D. W., & Poteet, J. A. (1989-1990). A comparsion of two
methods of teaching mathematics story problem-solving with learning
disabled students. National Forum of Special Education Journal, 1,
44-51.
Willis, G. B., & Fuson, K. C. (1988). Teaching children to use
schematic drawings to solve addition and subtraction word problem.
Journal of Educational Psychology, 80(2), 192-201.
Wilson, M. (1989). Empirical Examination of a learning hierarchy using an item response theory model. Journal of Experiment Education,
57(4), 357-371.
Yukish, J. F., (1982). Curriculum and method for the mildly handicapped. Boston:Allyn & Bacon.
Zawaiza, T. B. W., & Gerber, M. M. (1993). Effects of explicit
instruction on communication college students with learning disabilities.
Learning Disability Quarterly, 16, 64-79.
 
 
 
 
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