Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-25T16:12:22.341Z Has data issue: false hasContentIssue false

Processing of Situational Information in Story Problem Texts. An Analysis from On-Line Measures

Published online by Cambridge University Press:  31 March 2014

Josetxu Orrantia*
Affiliation:
Universidad de Salamanca (Spain)
David Muñez
Affiliation:
Universidad de Salamanca (Spain)
Santiago Vicente
Affiliation:
Universidad de Salamanca (Spain)
Lieven Verschaffel
Affiliation:
Katholieke Universiteit Leuven (Belgium)
Javier Rosales
Affiliation:
Universidad de Salamanca (Spain)
*
*Correspondence concerning this article should be addressed to Josetxu Orrantia. Facultad de Educación. Paseo de Canalejas 169. 37008. Salamanca (Spain). Phone: +34–923294630. Fax: +34–923294609. Email: [email protected]

Abstract

In three experiments, we investigated the extent to which readers process information related to the construction of a situation model when they are confronted with solving word problems. Considering that generation of inferences to match actions with particular goals is part of constructing of the situation model, we constructed “rich story problems”, that is, word problems included in the context of a story, in which the characters propose goals, and then these goals are followed by actions to achieve it. In Experiments 1 and 2 the story problems were designed so that the character’s goal was related to the activation of a problem schema, either explicitly (Experiment 1) or implicitly (Experiment 2). In Experiment 3 the problem schema activation was clearly separated from the goal information. In all three experiments, goal information availability was assessed by on-line measures. The results showed that participants processed situational information by keeping track of characters’ goals. These results fit nicely with those studies that emphasize the role of situation model construction in word problem solving.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Albrecht, J. E., & Myers, J. L. (1995). Role of context in accessing distant information during reading. Journal of Experimental Psychology: Learning, Memory, & Cognition, 21, 14591468. http://dx.doi.org/10.1037//0278-7393.21.6.1459 Google ScholarPubMed
Albrecht, J. E., & O’Brien, E. J. (1993). Updating a mental model: Maintaining both local and global coherence. Journal of Experimental Psychology: Learning, Memory, and Cognition, 19, 10611070. http://dx.doi.org/10.1037//0278-7393.19.5.1061 Google Scholar
Briars, D. J., & Larkin, J. H. (1984). An integrated model of skill in solving elementary word problems. Cognition and Instruction, 1, 245296. http://dx.doi.org/10.1207/s1532690xci0103_1 Google Scholar
Graesser, A. C., Singer, M., & Trabasso, T. (1994). Constructing inferences during narrative text comprehension. Psychological Review, 101, 371395. http://dx.doi.org/10.1037//0033-295X.101.3.371 Google Scholar
Huitema, J. S., Dopkins, S., Klin, C. M., & Myers, J. L. (1993). Connecting goals and actions during reading. Journal of Experimental Psychology: Learning, Memory, and Cognition, 19, 10531060. http://dx.doi.org/10.1037//0278-7393.19.5.1053 Google Scholar
Johnson-Laird, P. N. (1983). Mental models. Cambridge, UK: Cambridge University Press.Google Scholar
Kintsch, W. (1988). The role of knowledge in discourse comprehension: A construction–integration model. Psychological Review, 95, 163182. http://dx.doi.org/10.1037/0033-295X.95.2.163 Google Scholar
Kintsch, W. (1998). Comprehension: A paradigm for cognition. Cambridge, UK: Cambridge University Press.Google Scholar
Kintsch, W., & Greeno, J. (1985). Understanding and solving word arithmetic problem. Psychological Review, 92, 109129. http://dx.doi.org/10.1037//0033-295X.92.1.109 Google Scholar
Lutz, M. F., & Radvansky, G. A. (1997). The fate of completed goal information in narrative comprehension. Journal of Memory & Language, 36, 293310. http://dx.doi.org/10.1006/jmla.1996.2491 Google Scholar
Magliano, J. P., & Radvansky, G. A. (2001). Goal coordination in narrative comprehension. Psychonomic Bulletin & Review, 8, 372376. http://dx.doi.org/10.3758/BF03196175 CrossRefGoogle ScholarPubMed
Magliano, J. P., Zwaan, R. A., & Graesser, A. C. (1998). The role of situational continuity in narrative understanding. In van Oostendorp, H. E. & Goldman, S. R. (Eds.), The construction of mental representations during reading (pp. 219245). Mahwah, NJ: Erlbaum.Google Scholar
McCrudden, M. T., Magliano, J. P., & Schraw, G. (2010). Exploring how relevance instructions affect personal reading intentions, reading goals and text processing: A mixed methods study. Contemporary Educational Psychology, 35, 229241. http://dx.doi.org/10.1016/j.cedpsych.2009.12.001 Google Scholar
Muñez, D., Orrantia, J., & Rosales, J. (2013). The effect of external representations on compare word problems: Supporting mental model construction. The Journal of Experimental Education. 81, 337355 http://dx.doi.org/10.1080/00220973.2012.715095 CrossRefGoogle Scholar
Myers, J. L., & O’Brien, E. J. (1998). Accessing the discourse representation during reading. Discourse Processes, 26, 131157. http://dx.doi.org/10.1080/01638539809545042 Google Scholar
O’Brien, E. J., & Myers, J. L. (1999). Text comprehension: A view from the bottom up. In Goldman, S. R., Graesser, A. C., & van den Broek, P. (Eds.), Narrative comprehension, causality, and coherence: Essays in honor of TomTrabasso (pp. 3553). Mahwah, NJ: Lawrence Erlbaum Associates, Inc.Google Scholar
Orrantia, J., González, L., & Vicente, S. (2005). Un análisis de los problemas aritméticos en los libros de Educación Primaria [Analysing arithmetic word problems in Primary Education text books]. Infancia & Aprendizaje, 28, 429451. http://dx.doi.org/10.1174/021037005774518929 CrossRefGoogle Scholar
Orrantia, J., & Muñez, D. (2013). Arithmetic word problem solving: Evidence for a magnitude-based mental representation. Memory & Cognition. 41, 98108. http://dx.doi.org/10.3758/s13421-012-0241-1 Google Scholar
Orrantia, J., Tarín, J., & Vicente, S. (2011). El uso de la información situacional en la resolución de problemas aritméticos [The use of situational information in word problem solving]. Infancia & Aprendizaje, 34, 8194. http://dx.doi.org/10.1174/021037011794390094 Google Scholar
Poynor, D. V., & Morris, R. K. (2003). Inferred goals in narratives: Evidence from self-paced reading, recall, and eye movements. Journal of Experimental Psychology: Learning, Memory, and Cognition, 29, 39. http://dx.doi.org/10.1037//0278-7393.29.1.3 Google Scholar
Reusser, K. (1990). From text to situation to equation: Cognitive simulation of understanding and solving mathematical word problems. In Mandl, H., De Corte, E., Bennett, N., & Friedrich, H. F. (Eds.), Learning and Instruction (Vol. 2, pp. 477498). Oxford, UK: Pergamon.Google Scholar
Riley, N. S., Greeno, J., & Heller, J. I. (1983). Development of children’s problem solving ability in aritmetic. In Ginsburg, H. P. (Ed.), The development of mathematical thinking (pp. 153196). New York, NY: Academic Press.Google Scholar
Staub, F. C., & Reusser, K. (1995). The role of presentational structures in understanding and solving mathematical word problems. In Weaver, C. A. III, Mannes, S., & Fletcher, C. R. (Eds.), Discourse Comprehension: Essays in honor of Walter Kintsch (pp. 285305). Hillsdale, NJ: Lawrence Erlbaum.Google Scholar
Suh, S. Y., & Trabasso, T. (1993). Inferences during reading: Converging evidence from discourse analysis, talk-aloud protocols, and recognition priming. Journal of Memory & Language, 32, 279300. http://dx.doi.org/10.1006/jmla.1993.1015 Google Scholar
Thevenot, C. (2010). Arithmetic word problem solving: Evidence for the construction of a mental model. Acta Psychologica, 133, 9095. http://dx.doi.org/10.1016/j.actpsy.2009.10.004 Google Scholar
Thevenot, C., Devidal, M., Barroulillet, P., & Fayol, M. (2007). Why does placing the question before an arithmetic word problem improve performance? A situation model account. The Quarterly Journal of Experimental Psychology, 60, 4356. http://dx.doi.org/10.1080/17470210600587927 CrossRefGoogle ScholarPubMed
Trabasso, T., van den Broek, P., & Suh, S. Y. (1989). Logical necessity and transitivity of causal relations in stories. Discourse Processes, 12, 125. http://dx.doi.org/10.1080/01638538909544717 CrossRefGoogle Scholar
van den Broek, P., & Lorch, R. F. (1993). Network representations of causal relations in memory for narrative texts: Evidence from primed recognition. Discourse Processes, 16, 7598. http://dx.doi.org/10.1080/01638539309544830 Google Scholar
van den Broek, P., Lorch, R. F., Linderholm, T., & Gustafson, M. (2001). The effects of readers’ goals on inference generation and memory for texts. Memory and Cognition, 29, 10811087. http://dx.doi.org/10.3758/BF03206376 Google Scholar
van den Broek, P., Risden, K., & Husebye-Hartmann, E. (1995). The role of reader’s standards of coherence in the generation of inferences during reading. In Lorch, E. P. & O’Brien, E. J. (Eds.), Sources of coherence in reading (pp. 353374). Hillsdale, NJ: Lawrence Erlbaum Associates.Google Scholar
van Dijk, T. A., & Kintsch, W. (1983). Strategies of discourse comprehension. New York, NY: Academic Press.Google Scholar
Verschaffel, L., & de Corte, E. (1997). World problems: A vehicle for promoting authentic mathematical understanding and problem solving in the primary school. In Nunes, T. & Bryant, P. (Eds.), Learning and teaching mathematics. An international perspective (pp. 6997). Hove, UK: Psychology Press.Google Scholar
Verschaffel, L., Greer, B., & de Corte, E. (2000). Making sense of word problems. Lisse, The Netherlands: Swets & Zeitlinger Publishers.Google Scholar
Vicente, S., & Orrantia, J. (2007). Resolución de problemas y comprensión situacional [Word problem solving and situational knowledge]. Cultura & Educación, 19, 6185. http://dx.doi.org/10.1174/113564007780191232 Google Scholar
Vicente, S., Orrantia, J., & Verschaffel, L. (2007). Influence of situational and conceptual rewording on word problem solving. British Journal of Educational Psychology, 77, 829848. http://dx.doi.org/10.1348/000709907X178200 Google Scholar
Vicente, S., Orrantia, J., & Verschaffel, L. (2008a). Influence of situational and mathematical information on situationally difficult word problems. Studia Psychologica, 50, 337356.Google Scholar
Vicente, S., Orrantia, J., & Verschaffel, L. (2008b). Influencia del conocimiento matemático y situacional en la resolución de problemas aritméticos verbales: Ayudas textuales y gráficas [Influence of mathematical and situational knowledge on arithmetic Word problema solving: Textual and graphical aids]. Infancia y Aprendizaje, 31, 463483 http://dx.doi.org/10.1174/021037008786140959 Google Scholar
Zwaan, R. A. (1994). Effects of genre expectations on text comprehension. Journal of Experimental Psychology: Learning, Memory, & Cognition, 20, 920933. http://dx.doi.org/10.1037//0278-7393.20.4.920 Google Scholar
Zwaan, R. A., & Radvansky, G. A. (1998). Situation models in language comprehension and memory. Psychological Bulletin, 123, 162185. http://dx.doi.org/10.1037//0033-2909.123.2.162 Google Scholar