Intervention in Textual Comprehension of Mathematical Word Problems: A Case Study
DOI:
https://doi.org/10.53103/cjess.v4i2.223Keywords:
Textual Comprehension, Difficulty, Situation Model, Word Problem, SecondaryAbstract
Word Mathematical Problem solving involves a phase of Comprehension or construction of a Situational Model. This paper presents an intervention with a high school student who presented difficulties in the construction of situational models in Word Mathematical Problem Solving. A qualitative research with an instrumental case study design was developed to obtain a profile of the type of difficulties and to intervene by means of semi-structured interviews. The role of situation drawing and the use of concrete materials during the interviews as a strategy to encourage the construction of situation models is also reported.
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Bruner, J. (1986). Actual minds, possible worlds. Cambridge: Harvard University Press.
Bruno, A. & Espinel, M. C. (2002). Problemas aditivos con números negativos: estudio sobre tres métodos de enseñanza con alumnos de nivel medio básico. Educación Matemática, 14(1), 82-104. https://doi.org/10.24844/EM
Chin, K. E., & Fu, S. H. (2021). Exploring the Implementation of an Intervention for A Pupil with Mathematical Learning Difficulties: A Case Study. Journal on Mathematics Education, 12(3), 531-546. http://doi.org/10.22342/jme.12.3.14473.531-546
Clarke, V., & Braun, V. (2013). Teaching thematic analysis: Overcoming challenges and developing strategies for effective learning. Psychologist, 26(2), 120-123 https://uwerepository.worktribe.com/preview/937606/Teaching%20thematic%20analysis%20Research%20Repository%20version.pdf
Cohen, L., & Manion, L. (1990). Métodos de investigación educativa. La Muralla.
Cummins, D., Kintsch, W., Reusser, K., &Weimer, R. (1988). The role of understanding in solving word problems. Cognitive Psychology, 20(4), 405-438.
D´Amore, B. (2006). Didáctica de la matemática. Cooperativa Editorial Magisterio.
D’Amore, B., Franchini, D., Gabellini, G., Mancini, M., Masi, F., Pascucci, N., & Sandri, P. (1996). The re-formulation of text of standard school problems. In A. Gagatsis, L. Rogers (Eds.) Didactics and history of mathematics. Thessalonicki: Erasmus ICP 95 – 2011/11, pp. 53-72.
Gerofsky, S. (1996). A linguistic and narrative view of word problems in mathematics education. For The Learning of Mathematics, 16(2), 36-45.
Ginsburg, H. P. (1997). Entering the Child´s Mind: The clinical Interview in psychological Research and Practice. Cambridge University Press.
Glenberg, A. M., Gutiérrez, T., Levin, J. R., Japuntich, S., & Kaschak, M. P. (2004). Activity and imagined activity can enhance young children´s reading comprehension. Journal of Educational Psychology, 96(3), 424-436. https://doi.org/10.1037/0022-0663.96.3.424
Hernández, R., Fernández, C. & Baptista, P. (2010). Metodología de la Investigación. McGraw Hill.
IREM de Grenoble (1980). Bulletin de l’Association des professours de Mathématiques de l’Enseignement Public, 323, 235-243.
Islas, L., Jiménez, M., Carballo, J., Zubieta, F., Barajas, J., Guardiola., J. Sosa, J., Morales, M. & Espinoza, D. (2012). Enunciados de los problemas. Factorial, 1(2), 12-30. http://editorialdinosaurio.blogspot.com/p/factorial.html
Johnson-Laird, P. N. (1983). The nature of mental models. Harvard University Press.
Juárez, J. A., Mejía, A., González, A., & Slisko, J. (2014). La construcción del modelo situacional de un problema matemático: El análisis basado en el Marco del Experimentador Inmerso. Números, Revista de Didáctica de las Matemáticas, 87(3), 81-99.
Juárez, J. A., Slisko, J., Hernández, L. A., & Monroy, M. (2015). Differences in the situation model construction for a textbook problem: The broken tree or the broken bamboo? In K. Krainer & N. Vondrová (Eds.), Proceedings of the Ninth Congress of the European Society for Research in Mathematics Education (pp. 897-903). Prague: HAL archives ouvertes. https://hal.archives-ouvertes.fr/hal-01287263/document
Leiss, D., Schukajlow, S., Blum, W., Messner, R., y Pekrun, R. (2010). The role of the situation model in mathematical modelling—task analyses, student competencies, and teacher interventions. Journal für Mathematik-Didaktik, 31, 119–141.
Polya, G. (1945). How to solve it, Princeton: Princeton University Press.
Puig, L., & y Cerdán F. (1999). Problemas y problemas aritméticos elementales. En L. Puig y F. Cerdán (Eds.). Problemas aritméticos escolares (pp. 2-33). Síntesis.
Rellensmann, J., Schukajlow, S., & Leopold, C. (2017). Make a drawing. Effects of strategic knowledge, drawing accuracy, and type of drawing on students’ mathematical modelling performance. Educational Studies in Mathematics, 95(1), 53–7. https://doi.org/10.1007/s10649-016-9736-1
Santos-Trigo, L. M. (1996). La resolución de problemas y sus conexiones con otras áreas del conocimiento. En L. M. Santos, Principios y métodos de la resolución de problemas en el aprendizaje de las matemáticas (pp. 57-68). Grupo Editorial Iberoamérica.
Silva, M. (2014). El estudio de la comprensión lectora en Latinoamérica: necesidad de un enfoque en la comprensión. Innovación Educativa, 14(64), 47-56.
Stake, R. (1995). The art of case study research. SAGE.
Therriault, D. J., & Rinck, M. (2007). Multidimensional situation models. In F. Schmalhofer & C. A. Perfetti (Eds.), Higher level language processes in the brain: Inference and comprehension processes (pp. 311–327). Lawrence Erlbaum Associates Publishers.
van Dijk, T. A., & Kintsch, W. (1983). The cognitive model. In T. A. van Dijk & W. Kintsch (Eds.). Strategies in discourse comprehension (pp. 333-385). Academic Press.
Verschaffel, L., Greer, B., & De Corte, E. (2000). Making sense of word problems, The Netherlands: Swets & Zeitlinger.
Wijaya, A., Retnawati, H., Setyaningrum, W., Aoyama, K., & Sugiman. (2019). Diagnosing students’ learning difficulties in the eyes of Indonesian mathematics teachers. Journal on Mathematics Education, 10(3), 357-364. https://doi.org/10.22342/jme.10.3.7798.357-364.
Zan, R. (2011). The crucial role of narrative thought in understanding story problems. In K. Kislenko (Ed.). Current state of research on mathematical beliefs XVI (pp. 287-305). Tallin: Tallin University.
Zwaan, R. A., Langston M. C., & Graesser, A. C. (1995). The construction of situation models in narrative comprehension: An event-indexing model. Psychological Science, 6(5), 292-297. https://doi.org/10.1111/j.1467-9280.1995.tb00513.x
Zwaan, R. A., & Radvansky, G. A. (1998). Situation Models in Language Comprehension and Memory. Psychological Bulletin, 123(2), 162-185. https://doi.org/10.1037/0033-2909.123.2.162
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