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Original Articles

Construction and Validation of a Test for Inductive Reasoning1

Published Online:September 01, 2006https://doi.org/10.1027//1015-5759.19.1.24

Abstract

Summary We present in this paper a test for inductive reasoning (TIR), which consists of two versions that can be used to assess the inductive reasoning development of third-grade pupils in primary education. The test versions can also be used in combination with a training program for inductive reasoning. Two experiments using samples of 954 and 145 pupils were carried out to investigate the psychometric properties of the tests, including validity. Item response theory (IRT) analyses revealed that the scores on the two TIR tests gave meaningful inductive reasoning summaries. This was supported by analyses of the convergent and divergent validity of the TIR tests. IRT analyses were used to equate the two TIR test versions such that the scores can be compared on a common scale. Possible explanations for the misfit of items that were deleted from the TIR tests are discussed.

References

References

  • Andersen, E.B. (1973). A goodness of fit test for the Rasch model.. Psychometrika, 38, 123– 140 First citation in articleCrossref, Google Scholar

  • Bereiter, C., Scardamalia, M. (1979). Pascual-Leone's M construct as a link between cognitive-developmental and psychometric concepts of intelligence.. Intelligence, 3, 41– 63 First citation in articleCrossref, Google Scholar

  • Bidell, T.R., Fischer, K.W. (1992). Beyond the stage debate: Action, structure, and variability in Piagetian theory and research.. In R.J. Sternberg & C.A. Berg (Eds.), Intellectual development (pp. 100-140). Cambridge: Cambridge University Press. First citation in articleGoogle Scholar

  • Brown, A.L., Campione, J.C., Reeve, R.A., Ferrara, R.A., Palinscar, A.S. (1991). Interactive learning and individual understanding: The case of reading and mathematics.. In L.T. Landsmann (Ed.), Culture, schooling, and psychological development (pp. 136-170). Norwood, NJ: Ablex Publishing Corporation. First citation in articleGoogle Scholar

  • Carey, S. (1985). Conceptual change in childhood. . Cambridge, MA: MIT Press. First citation in articleGoogle Scholar

  • Carpenter, P.A., Just, M.A., Shell, P. (1990). What one intelligence test measures: A theoretical account of the processing in the Raven Progressive Matrices Test.. Psychological Review, 97(3), 404– 431 First citation in articleCrossref, Google Scholar

  • Carroll, J.B. (1993). Human cognitive abilities: A survey of factor-analytic studies. . New York: Cambridge University Press. First citation in articleGoogle Scholar

  • Case, R. (1974). Structures and strictures: Some functional limitations on the course of cognitive growth.. Cognitive Psychology, 6, 544– 573 First citation in articleCrossref, Google Scholar

  • CITO. (1995). Luistertoets. Handleiding. ‘Listening Comprehension Test. Manual’.. Arnhem: Author. First citation in articleGoogle Scholar

  • Csapó, B. (1999). Improving thinking through the content of teaching.. In J.H.M. Hamers, J.E.H van Luit, & B. Csapó (Eds.), Teaching and learning thinking skills (pp. 37-63). Lisse: Swets & Zeitlinger. First citation in articleGoogle Scholar

  • De Koning, E. (2000). Inductive reasoning in primary education. Measurement, teaching, transfer. . Zeist: Kerckbosch. First citation in articleGoogle Scholar

  • De Koning, E., Hamers, J.H.M. (1995). Programma Inductief Redeneren 1 ‘Program Inductive Reasoning 1’.. Utrecht: Utrecht University Press ISOR. First citation in articleGoogle Scholar

  • De Koning, E., Hamers, J.H.M. (1999). Teaching inductive reasoning: Theoretical background and educational implications.. In J.H.M. Hamers, J.E.H. van Luit, & B. Csapó (Eds.), Teaching and learning thinking skills (pp. 157-188). Lisse: Swets & Zeitlinger. First citation in articleGoogle Scholar

  • De Koning, E., Hamers, J.H.M., Sijtsma, K., Vermeer, A. (2002). Teaching and transfer of inductive reasoning in primary education.. Developmental Review, 22, 211– 241 First citation in articleCrossref, Google Scholar

  • De Koning, E., Sijtsma, K., Hamers, J.H.M. (2002). Comparison of four IRT models when analyzing two tests for inductive reasoning.. Applied Psychological Measurement, 26, 302– 320 First citation in articleCrossref, Google Scholar

  • Dodwel, P.C. (1960). Children's understanding of number and related concepts.. Canadian Journal of Psychology, 14, 191– 205 First citation in articleCrossref, Google Scholar

  • Engelen, R.J.H., Eggen, T.J.H.M. (1993). Equivaleren ‘Equating’.. In T.J.H.M. Eggen & P.F. Sanders (Eds.), Psychometrie in de praktijk ‘Psychometrics into practice’ (pp. 309-348). Arnhem: CITO Instituut voor Toetsontwikkeling. First citation in articleGoogle Scholar

  • Evans, T.G. (1968). A program for the solution of a class of geometric analogy intelligence test questions.. In M. Minsky (Ed.), Semantic information processing (pp. 271-353). Cambridge, MA: MIT Press. First citation in articleGoogle Scholar

  • Feurstein, R., Rand, Y., Jensen, M.R., Kaniel, S., Tzuriel, D. (1987). Prerequisites 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. First citation in articleGoogle Scholar

  • Glas, C.A.W., Ouborg, M.J. (1993). Vraagonzuiverheid ‘Differential item functioning’.. In J.H.M. Eggen & P.F. Sanders (Eds.), Psychometrie in de praktijk ‘Psychometrics into practice’ (pp. 349-370). Arnhem: CITO Instituut voor Toetsontwikkeling. First citation in articleGoogle Scholar

  • Glas, C.A.W., Verhelst, N.D. (1995). Testing the Rasch model.. In G.H. Fischer & I.W. Molenaar (Eds.), Rasch models. Foundations, recent developments, and applications (pp. 69-95). New York: Springer-Verlag. First citation in articleGoogle Scholar

  • Glas, C.A.W., Ellis, J.L. (1993). User's manual RSP. Rasch Scaling Program. . Groningen, The Netherlands: iecProGAMMA. First citation in articleGoogle Scholar

  • Goswami, U. (1991). Analogical Reasoning: What develops? A review of research and theory.. Child Development, 62, 1– 22 First citation in articleCrossref, Google Scholar

  • Grigorenko, E.L. Sternberg, R.J. (1998). Dynamic testing.. Psychological Bulletin, 124, 75– 111 First citation in articleCrossref, Google Scholar

  • Hamers, J.H.M., De Koning, E. Ruijssenaars, A.J.J.M. (1997). A diagnostic program as learning potential assessment procedure.. Educational and Child Psychology, 14, 73– 82 First citation in articleGoogle Scholar

  • Hamers, J.H.M., De Koning, E., Sijtsma, K. (1998). Inductive reasoning in the third grade: Intervention promises and constraints.. Contemporary Educational Psychology, 23, 132– 148 First citation in articleCrossref, Google Scholar

  • Holland, J.H., Holyoak, H.J., Nisbett, R.E., Thagard, P.R. (1986). Induction. Processes of inference, learning and discovery. . Cambridge, MA: MIT Press. First citation in articleGoogle Scholar

  • Hosenfeld, B., Van den Boom, D.C., Resing, W. (1997). New Instrument.. Constructing geometric analogies for the longitudinal testing of elementary school children. Journal of Educational Measurement, 34, 4, 367– 372 First citation in articleGoogle Scholar

  • Hunt, E.B. (1974). Quote the Raven? Nevermore!. In L.W. Gregg (Ed.), Knowledge and cognition (pp. 129-158). Hillsdale, NJ: Erlbaum. First citation in articleGoogle Scholar

  • Klauer, K.J. (1989). Denktraining für Kinder 1. Ein Program zur intellektuellen Förderung ‘Inductive reasoning. A program for the stimulation of inductive reasoning’.. Göttingen: Hogrefe. First citation in articleGoogle Scholar

  • Klauer, K. (1990). A process theory of inductive reasoning tested by the teaching of domain-specific thinking strategies.. European Journal of Psychology of Education, 5, 191– 206 First citation in articleCrossref, Google Scholar

  • Klauer, K.J. (1997). Lässt sich die Strategie des induktiven Denkens auf schulisches Lernen transferierbar lehren? ‘Can the strategy to reason inductively be taught such that it transfers to learning of school-type material?’. Zeitschrift für Entwicklungspsychologie und Pädagogische Psychologie, 29, 225– 241 First citation in articleGoogle Scholar

  • Klauer, K.J. (1999). Über den Einfluss des induktiven Denkens auf den Erwerb unanschaulich-generischen Wissens bei Grund- und Sonderschülern. ‘On the impact of inductive reasoning on the acquisition of abstract generic knowledge with elementary school and with learning disabled children.’. Psychologie in Erziehung und Unterricht, 46, 7– 28 First citation in articleGoogle Scholar

  • Marshalek, B., Lohman, D.F., Snow, R.E. (1983). The complexity continuum in the radex and hierarchical models of intelligence.. Intelligence, 7, 107– 127 First citation in articleCrossref, Google Scholar

  • Meijer, R.R., Sijtsma, K., Smid, N.G. (1990). Theoretical and empirical comparison of the Mokken and the Rasch approach to IRT.. Applied Psychological Measurement, 14, 283– 298 First citation in articleCrossref, Google Scholar

  • Mokken, R.J. (1971). A theory and procedure of scale analysis. . The Hague: Mouton/Berlin: De Gruyter. First citation in articleGoogle Scholar

  • Mokken, R.J. (1997). Nonparametric models for dichotomous responses.. In W.J. van der Linden & R.K. Hambleton (Eds.), Handbook of modern item response theory (pp. 351-367). New York: Springer-Verlag. First citation in articleGoogle Scholar

  • Molenaar, I.W., Sijtsma, K., (2000). MSP5 for Windows. User's manual. . Groningen, The Netherlands: iecProGAMMA. First citation in articleGoogle Scholar

  • Mulholland, T.M., Pellegrino, J.W., Glaser, R. (1980). Components of geometric analogy solution.. Cognitive Psychology, 12, 252– 284 First citation in articleCrossref, Google Scholar

  • Nisbett, R.E. (1993). Rules for reasoning. . Hillsdale, NJ: Erlbaum. First citation in articleGoogle Scholar

  • Nunnally, J.C. (1978). Psychometric theory. . New York: McGraw-Hill. First citation in articleGoogle Scholar

  • Palinscar, A.S., Brown, A.L. (1988). Teaching and practical thinking skills to promote comprehension in the context of group problem solving.. RASE: Remedial and Special Education, 9, 1, 53– 59 First citation in articleGoogle Scholar

  • Pascual-Leone, L. (1970). A mathematical model for the transition rule in Piaget's developmental stages.. Acta Psychologica, 32, 4, 301– 345 First citation in articleCrossref, Google Scholar

  • Pennings, A.H., Hessels, M.G.P. (1996). The measurement of mental attentional capacity: A Neo-Piagetian developmental study.. Intelligence, 23, 1, 59– 78 First citation in articleCrossref, Google Scholar

  • Piaget, J. (1970). Piaget's theory.. In P.H. Mussen (Ed.), Carmichael's handbook of child development (pp. 703-732). New York: Wiley. First citation in articleGoogle Scholar

  • Ponocny, I. (2001). Nonparametric goodness-of-fit tests for the Rasch model.. Psychometrika, 66, 437– 460 First citation in articleCrossref, Google Scholar

  • Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. . Copenhagen, Denmark: Nielsen & Lydiche. First citation in articleGoogle Scholar

  • Raven, J.C. (1958). Standard Progressive Matrices. . London: Lewis. First citation in articleGoogle Scholar

  • Richardson, K. (1996). Putting Raven into context: A response to Roberts & Stevenson.. British Journal of Educational Psychology, 66, 533– 538 First citation in articleCrossref, Google Scholar

  • Roberts, M.J., Stevenson, N.J. (1996). Reasoning with Raven - with and without help.. British Journal of Educational Psychology, 66, 519– 532 First citation in articleCrossref, Google Scholar

  • Sijtsma, K. (1983). Rasch-homogeniteit empirisch onderzocht ‘Rasch homogeneity empirically examined’.. Tijdschrift voor Onderwijsresearch, 8, 104– 121 First citation in articleGoogle Scholar

  • Sijtsma, K., Molenaar, I.W. (2002). Introduction to nonparametric item response theory. . Thousand Oaks, CA: Sage. First citation in articleGoogle Scholar

  • Sijtstra, J. (1992). Balans van het taalonderwijs halverwege de basisschool ‘Evaluation of language education half-way primary school’.. Arnhem: CITO Instituut voor Toetsontwikkeling. First citation in articleGoogle Scholar

  • Snow, R.E., Kyllonen, P.C., Marshalek, B. (1984). The topography of ability and learning correlations.. In R.J. Sternberg (Ed.), Advances in the psychology of human intelligence (pp. 47-103). Hillsdale, NJ: Erlbaum. First citation in articleGoogle Scholar

  • Spearman, C. (1927). The abilities of man. . New York: Macmillan. First citation in articleGoogle Scholar

  • Sternberg, R.J. (1998). When will the milk spoil? Everyday induction in human intelligence.. Intelligence, 25, 3, 185– 203 First citation in articleGoogle Scholar

  • Sternberg, R.J., Gardner, M.K. (1983). Unities in inductive reasoning.. Journal of Experimental Psychology: General, 112, 1, 80– 116 First citation in articleCrossref, Google Scholar

  • Stout, W.F. (1990). A new item response theory modeling approach with applications to unidimensionality assessment and ability estimation.. Psychometrika, 55, 293– 325 First citation in articleCrossref, Google Scholar

  • Van den Wollenberg, A.L. (1982). A simple and effective method to test the dimensionality axiom of the Rasch model.. Applied Psychological Measurement, 6, 83– 91 First citation in articleCrossref, Google Scholar

  • Van der Linden, W.J., Hambleton, R.K. (1997). Handbook of modern item response theory. . New York: Springer-Verlag. First citation in articleGoogle Scholar

  • Veldhuijzen, N.H., Godebeld, P., Sanders, P.F. (1993). Klassieke testtheorie en generalizeerbaarheidstheorie. ‘Classic test theory and generalizability theory’.. In T.J.H.M. Eggen & P.F. Sanders (Eds.), Psychometrie in de praktijk ‘Psychometrics into practice’ (pp. 33-82). Arnhem: CITO Instituut voor Toetsontwikkeling. First citation in articleGoogle Scholar

  • Verhelst, N.D., Glas, C.A.W. (1995). The one parameter logistic model.. In G.H. Fischer & I.W. Molenaar (Eds.), Rasch models. Foundations, recent developments, and applications (pp. 215- 237). New York: Springer-Verlag. First citation in articleGoogle Scholar

  • Verhoeven, L. (1996). Woordenschattoets I. Handleiding. ‘Vocabulary Test I. Manual’.. Arnhem: CITO. First citation in articleGoogle Scholar

  • Vernon, P.E. (1971). The structure of human abilities. . London: Methuen. First citation in articleGoogle Scholar

  • Vosniadou, S. (1989). Analogical reasoning as a mechanism in knowledge acquisition: A developmental perspective.. In S. Vosniadou & A. Ortony (Eds.), Similarity and analogical reasoning (pp. 413-437). Cambridge: Cambridge University Press. First citation in articleGoogle Scholar

  • Wijnstra, J. (1987). De samenstelling van de schoolbevolking in het basisonderwijs. ‘The composition of the school population in primary education.’. Arnhem: CITO Instituut voor Toetsontwikkeling. First citation in articleGoogle Scholar

  • Willmes, K., Heller, K.A., Lengfelder, A. (1997). Testrezension zu Standard Progressive Matrices. ‘A review of the Standard Progressive Matrices (SPM).’. Zeitschrift für Differentielle und Diagnostische Psychologie, 18, 117– 120 First citation in articleGoogle Scholar

  • Zimmerman, C. (2000). The development of scientific reasoning skills.. Developmental Review, 20, 99– 149 First citation in articleCrossref, Google Scholar