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Reading-enhanced word problem solving: a theoretical model

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Abstract

There is a reciprocal relationship between mathematics and reading cognition. Metacognitive training within reading-enhanced problem solving should facilitate students developing an awareness of what good readers do when reading for meaning in solving mathematical problems enabling them to apply these strategies. The constructs for each cognitive component articulated in the manuscript are supported by research demonstrating benefits in reading and mathematics achievement and how they operate together to help students’ conceptualize mathematical problems. Teachers need to think less about students deriving an answer and more in terms of facilitating students’ application of the cognitive components of reading and mathematics. Thus, teachers can implement reading-enhanced problem solving in mathematics when students struggle, rather than having to manipulate their local curriculum.

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Authors and Affiliations

Authors

Corresponding author

Correspondence to Robert M. Capraro.

Additional information

Robert M. Capraro is a Professor of Mathematics Education at Texas A&M University and Aggie STEM Center with research interests in mathematical representation, quantitative research methods, and the factors influencing mathematics achievement.

Current themes of research:

Mathematical representation. Quantitative research methods. Factors influencing mathematics achievement

Most relevant publications in the field of Psychology of Education:

Capraro, R. M., Yetkiner, Z. E., Özel, S., Corlu, M. S., Capraro, M. M., Ye, S., & Kim, H. G. (2011). An international perspective on students’ understanding of the equal sign. Mediterranean Journal for Research in Mathematics Education: An International Journal, 10, 187–213

Capraro, R. M., Capraro, M. M., & Rupley, W. H. (2010). Semantics and syntax: A theoretical model for how students may build mathematical mis-understandings. Journal of Mathematics Education, 3(2), 58–66.

Capraro, M. M., Capraro, R. M., Carter, T. A., & Harbaugh, A. (2010). Questioning, curiosity, and representing: What makes a difference mathematically? Research in Middle Level Education Online, 34(4), 1–19.

Beal, G., Sulentic, M. M., & Capraro, R. M. (2006). How do literacy experiences affect the teaching propensities of elementary pre-service teachers? Reading Psychology, 27, 235–255.

Capraro, R. M., & Capraro, M. M. (2006). Are you really going to read us a story? Learning geometry through children’s mathematics literature. Reading Psychology, 27, 21–36.

Mary Margaret Capraro is an assistant professor of Mathematics Education at Texas A&M University and Aggie STEM Center. Her research interests include teacher beliefs about mathematics, the acquisition of mathematics in early grades, and cultural influences on mathematics achievement.

Current themes of research:

Teacher beliefs about mathematics. The acquisition of mathematics in early grades. Cultural influences on mathematics achievement

Most relevant publications in the field of Psychology of Education:

Rowntree, R., & Capraro, M. M. (2010). Understanding and aiding students’ perceptions of algebraic inequalities. Texas Mathematics Teacher. Fall, 10–17.

William H. Rupley, Professor of Reading Education conducts research in reading acquisition. Correspondence can be sent to authors at 4232 TAMU, College Station, TX 77843-4232 (rcapraro@tamu.edu).

Appendix

Appendix

* Indicates article used in meta synthesis.

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*Littlefield, J., & Rieser, J. J. (1993). Semantic features of similarity and children’s strategies for identification of relevant information in mathematical story problems. Cognition & Instruction, 11, 133–188.

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*Suydam, M. N., & Higgins, J. L. (1976, September). Review and synthesis of studies of activity-based approaches to mathematics teaching. Final report, NIE Contract No. 400-75-0063. Columbus, OH: Information Analysis Center for Science, Mathematics and Environmental Education.

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*Teubal, T. N. (1975). Verbal cues as an interfering factor in verbal problem solving. Educational Studies in Mathematics, 6, 41–51.

*Verschaffel, L., Greer, B., & de Corte, E. (2000). Making sense of word problems. Educational Studies in Mathematics, 42, 211213.

*Zevenbergen, R. L. (2000). Cracking the code of mathematics classrooms: School success as a function of linguistic, social and cultural background. In J. Boaler (Ed.), Multiple perspectives on mathematics teaching and learning (pp. 201–223). Westport, CT: Ablex Publishing.

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Capraro, R.M., Capraro, M.M. & Rupley, W.H. Reading-enhanced word problem solving: a theoretical model. Eur J Psychol Educ 27, 91–114 (2012). https://doi.org/10.1007/s10212-011-0068-3

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