Abstract
In two experiments, we explored how the situation model of a math story problem impacts math problem performance. Participants completed multiplication story problems in which a set of objects was associated with or dissociated from a protagonist, making them more or less accessible in memory during answer retrieval. On the basis of previous findings that the sum of two numbers interferes with retrieval of their product, the number of objects in the math problem was either highly interfering (“9” for 4 3 5) or less interfering (“8” for 4 3 5) for multiplication retrieval in the problem. Participants made more errors in problem solving when highly interfering numerical content was associated with the protagonist and, thus, foregrounded. Moreover, the lower one’s working memory, the bigger this effect. In sum, small changes in the situation model of a math story problem can harm performance. These changes shift the balance of factors that influence math performance away from math knowledge and toward individual differences in general cognitive capacity.
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References
Arizona Department of Education (2006). Arizona’s Instrument to Measure Standards Sample Test. Retrieved April 7, 2009, from www .ideal.azed.gov/system/files/Grade4SampleTestFinal.pdf.
Bassok, M., Pedigo, S. F., & Oskarsson, A. T. (2008). Priming addition facts with semantic relations. Journal of Experimental Psychology: Learning, Memory, & Cognition, 34, 343–352.
Campbell, J. I. D., & Timm, J. C. (2000). Adults’ strategy choices for simple addition: Effects of retrieval interference. Psychonomic Bulletin & Review, 7, 692–699.
Conway, A. R. A., & Engle, R. W. (1994). Working memory and retrieval: A resource-dependent inhibition model. Journal of Experimental Psychology: General, 123, 354–373.
Conway, A. R. A., Kane, M. J., Bunting, M. F., Hambrick, D. Z., Wilhelm, O., & Engle, R. W. (2005). Working memory span tasks: A methodological review and user’s guide. Psychonomic Bulletin & Review, 12, 769–786.
Cook, A. E., Gueraud, S., Was, C. A., & O’Brien, E. J. (2007). Foregrounding effects during reading, revisited. Discourse Processes, 44, 91–111.
Coquin-Viennot, D., & Moreau, S. (2007). Arithmetic problems at school: When there is an apparent contradiction between the situation model and the problem model. British Journal of Educational Psychology, 77, 69–80.
DeStefano, D., & LeFevre, J.-A. (2004). The role of working memory in mental arithmetic. European Journal of Cognitive Psychology, 16, 353–386.
Gerrig, R. J., & McKoon, G. (2001). Memory processes and experiential continuity. Psychological Science, 12, 81–85.
Glenberg, A. M., Meyer, M., & Lindem, K. (1987). Mental models contribute to foregrounding during text comprehension. Journal of Memory & Language, 26, 69–83.
Radvansky, G. A., & Copeland, D. E. (2001). Working memory and situation model updating. Memory & Cognition, 29, 1073–1080.
Siegler, R. S. (1988). Strategy choice procedures and the development of multiplication skill. Journal of Experimental Psychology: General, 117, 258–275.
van Dijk, T. A., & Kintsch, W. (1983). Strategies in discourse comprehension. New York: Academic Press.
Winkelman, J. H., & Schmidt, J. (1974). Associative confusions in mental arithmetic. Journal of Experimental Psychology, 102, 734–736.
Zbrodoff, N. J., & Logan, G. D. (1986). On the autonomy of mental processes: A case study of arithmetic. Journal of Experimental Psychology: General, 115, 118–130.
Zwaan, R. A., & Radvansky, G. A. (1998). Situation models in language comprehension and memory. Psychological Bulletin, 123, 162–185.
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This research was supported by NSF CAREER Grant DRL-0746970 to S.L.B.
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Mattarella-Micke, A., Beilock, S.L. Situating math word problems: The story matters. Psychonomic Bulletin & Review 17, 106–111 (2010). https://doi.org/10.3758/PBR.17.1.106
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DOI: https://doi.org/10.3758/PBR.17.1.106