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Instructional Science

, Volume 22, Issue 2, pp 115–136 | Cite as

A CAI program for instructing text analysis and modelling of word problems to educable mentally retarded children

  • M. W. M. Jaspers
  • E. C. D. M. Van Lieshout
Article

Abstract

Educable mentally retarded children prove to be poor mathematic word-problem solvers. This study is aimed at improving the poor word-problem solving ability of these children. In doing so, a computerised training programme was developed in which instruction focused on the construction of adequate problem representations. This was accomplished by both instructing the children to analyse the problem text thoroughly and by having them represent the problem situation described. The efficacy of this training procedure was demonstrated in a multiple-baseline design across five subjects after some data were removed (p < 0.05). It was assumed that the complexity of the training procedure and shortcomings in the feed back mechanism used obscured the overview of the problem-solving strategy. Suggestions are offered concerning the revision of this training procedure.

Keywords

Training Programme Text Analysis Word Problem Training Procedure Problem Situation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bebout, H.C. (1990). Children's symbolic representation of addition and subtraction word problems.Journal for Research in Mathematics Education 21: 123–131.Google Scholar
  2. Bilsky, L.H. & Judd, T. (1986). Sources of difficulty in the solution of verbal arithmetic problems by mildly retarded and nonretarded individuals.American Journal of Mental Deficiency 4: 395–402.Google Scholar
  3. Briars, D.J. & Larkin, J.H. (1984). An integrated model of skill in solving elementary word problems.Cognition and Instruction 1: 245–296.Google Scholar
  4. Brown, A.L. & Campione, J.C. (1986). Psychological theory and the study of learning disabilities.American Psychologist 14: 1059–1068.Google Scholar
  5. Brown, A. L., Campione, J.C. & Day, J.D. (1981). Learning to learn: on training students to learn from texts.Educational Researcher 2: 14–21.Google Scholar
  6. Campione, J.C., Brown, A.L. & Ferrara, R.A. (1982). Mental retardation and intelligence, in R.J. Sternberg, ed.,Handbook of Human Intelligence (pp. 392–490). New York: Cambridge University Press.Google Scholar
  7. Carpenter, T.P. & Moser, J.M. (1982). The development of addition and subtraction problem solving skills, in T.P. Carpenter, J.M. Moser & T.A. Romberg, eds.,Addition and Subtraction, a Cognitive Perspective (pp. 9–23). Hillsdale, New Jersey: Erlbaum Press.Google Scholar
  8. 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.Google Scholar
  9. Dellarosa Cummins, D., Kintsch, W., Reusser, K. & Weimer, R. (1988). The role of understanding in solving word problems.Cognitive Psychology '28: 405–438.Google Scholar
  10. De Corte, E. & Verschaffel, L. (1981). Children's solution processes in elementary arithmetic problems: analysis and improvement.Journal of Educational Psychology 6: 765–779.Google Scholar
  11. De Corte, E. & Veschaffel, L. (1986).Eye-Movement Data as Access to Solution Processes of Elementary Addition and Subtraction Problems. Paper presented at the annual meeting of the American Educational Research Association, San Francisco.Google Scholar
  12. De Corte, E. & Verschaffel, L. (1987).Do Non-Semantic Factors also Influence the Solution Process of Addition and Subtraction Word Problems? Paper presented at the Second European Conference for Research on Learning and Instruction. September, Tübingen, Germany.Google Scholar
  13. De Corte, E., Verschaffel, L. & De Win, L. (1985). Influence of rewording verbal problems on children's problem representation and solutions.Journal of Educational Psychology 77: 460–470.Google Scholar
  14. Dellarosa, D. (1986). A computer simulation of children's arithmetic word-problem solving.Behavior Research Methods, Instruments & Computers 2: 147–154.Google Scholar
  15. Fuson, K.C. & Fuson, A.M. (1992). Instruction supporting children's counting on for addition and counting up for subtraction.Journal for Research in Mathematics Education 23: 72–78.Google Scholar
  16. Goodstein, H.A., Cawley, J.F., Gordon, S. & Helfgott, J. (1971). Verbal problem solving among educable mentally retarded children.American Journal of Mental Deficiency 76: 238–241.Google Scholar
  17. Heller, J.I. & Greeno, J.G. (1978). Semantic processing of arithmetic word problem solving. Paper presented at the Midwestern Psychological Association Convention, Chicago, May.Google Scholar
  18. Jaspers, M.W.M. & Van Lieshout, E.C.D.M. (1989). A training procedure aiming at improving word problem solving for children with mathematical learning deficiencies, in J.J. Dumont & H. Nakken, eds.,Learning Disabilities: Vol. 2. Cognitive, Social and Remedial Aspects (pp. 117–137). Amsterdam: Swets & Zeitlinger.Google Scholar
  19. Jaspers, M.W.M. & Van Lieshout, E.C.D.M. (1991). Training specific modeling strategies for word problem solving in a computer assisted instruction program, in L.J.M. Mulder, F.J. Maarse, W.P.B. Sjouw & A.E. Akkerman, eds.,Computers in Psychology, Applications in Education, Research, and Psychodiagnostics (pp. 54–60). Amsterdam: Swets & Zeitlinger.Google Scholar
  20. Kintsch, W. (1986). Learning from text.Cognition and Instruction 3: 87–108.Google Scholar
  21. Kintsch, W. & Greeno, J.G. (1985). Understanding and solving word arithmetic problems.Psychological Review 1: 109–129.Google Scholar
  22. Kratochwill, T.R. (1978). Foundations of time-series research, in T.R. Kratochwill, ed.,Single Subject Research Strategies for Evaluating Change (pp. 1–100). New York: Academic Press.Google Scholar
  23. Mayer, R.E. (1985). Implications of cognitive psychology for instruction in mathematical problem solving, in E.A. Silver, ed.,Teaching and Learning Mathematical Problem Solving: Multiple Research Perspectives (pp. 123–138). Hillsdale, N.J.: Lawrence Erlbaum.Google Scholar
  24. Meichenbaum, D. (1976). Cognitive factors as determinants of learning disabilities: A cognitive functional approach, in R. Knights & D. Bakker, eds.,The Neuropsychology of Learning Disorders: Theoretical Approaches (pp. 423–442). Baltimore: University Park Press.Google Scholar
  25. Oud, H., Reelick, F. & Raaymakers, M. (1986).TIDA, KUNST Keyword-Version, Input-Output Description. Nijmegen, The Netherlands: University of Nijmegen, Orthopedagogiek-RTD/PAW.Google Scholar
  26. Palincsar, A.S. & Brown, A.L. (1988). Teaching and practising thinking skills to promote comprehension in the context of group problem solving.Remedial and Special Education 9(1): 53–59.Google Scholar
  27. Rabinowitz, M. & Chi, M.T.H. (1987). An interactive model of strategic processing, in S.J. Ceci, ed.,Handbook of Cognitive, Social and Neuropsychological Aspects of Learning Disabilities, Volume 2 (pp. 83–102). London: Erlbaum Press.Google Scholar
  28. Reusser, K. (1990). From text to situation to equation: cognitive simulation of understanding and solving mathematical word problems, in H. Mandl, E. De Corte, N. Bennett & H.F. Friedrich, eds.,Learning and Instruction. European Research in an International Context. Vol. 2.2, Analysis of Complex Skills and Complex Knowledge Domains (pp. 477–498). Oxford: Pergamon.Google Scholar
  29. Riley, M.S., Greeno, J.G. & Heller, J.I. (1983). Development of children's problem solving ability in arithmetic, in H.P. Ginsburg, ed.,The Development of Mathematical Thinking (pp. 153–196). New York: Academic Press.Google Scholar
  30. Torgesen, J.K. (1977). Memorization processes in reading disabled children.Journal of Educational Psychology 69: 571–578.Google Scholar
  31. Van Lieshout, E.C.D.M. (1989). Een metacognitief georiËnteerde computergestuurde training voor redactierekenen bij moeilijk lerende kinderen (A metacognitively oriented computer assisted training procedure for word problem solving with mildly mentally retarded children), in P. Span, E. De Corte & B. van Hout Wolters, red., Onderwijsleerprocessen. StrategieËn voor de verwerking van infomatie (pp. 163–170). Amsterdam: Swets & Zeitlinger.Google Scholar
  32. Van Lieshout, E.C.D.M. & Jaspers, M.W.M. (1989). Reading and solving arithmetic word problems by poorly performing and normal children, in A. Rosa, chair,Learning Environments for Special Educational Needs: Techniques for Improving Academic Performance. Symposium conducted at the third conference of the European Association of Research on Learning and Instruction, Madrid, Spain.Google Scholar
  33. Van Lieshout, E.C.D.M. & Jaspers, M.W.M. (1990). A training procedure for children with learning deficiencies to improve their representation of simple arithmetic word problems, in H. Mandl, E. De Corte, N. Bennett & H.F. Friedrich, eds.,Learning and Instruction. European Research in an International Context. Vol. 2.2,Analysis of Complex Skills and Complex Knowledge Domains (pp. 431–444). Oxford: Pergamon Press.Google Scholar
  34. Verschaffel, L. (1984).Representatieen oplossingsprocessen van eersteklassers bij aanvankelijke redactieopgaven over optellen en aftrekken. Een theoretische en methodologische bijdrage op basis van een longitudinale, kwalitatief psychologische studie (First graders' representations and solving processes on elementary addition and subtraction word problems. A theoretical and methodological contribution based on a longitudinal, qualitative psychological investigation). Unpublished doctoral dissertation, University of Leuven, Belgium.Google Scholar
  35. Zentall, S.S. (1990). Fact-retrieval automatization and math problem solving by learning disabled, attention-disordered, and normal adolescents.Journal of Educational Psychology 82: 856–865.Google Scholar

Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • M. W. M. Jaspers
    • 1
  • E. C. D. M. Van Lieshout
    • 2
  1. 1.Department of Medical InformationTechnology of the University of AmsterdamThe Netherlands
  2. 2.Department of Special EducationUniversity of NijmegenHE NijmegenThe Netherlands

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