Research Article
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The Mediator Effect of Reading Comprehension in the Relationship between Logical Reasoning and Word Problem Solving

Year 2020, Volume: 7 Issue: 3, 230 - 246, 01.12.2020
https://doi.org/10.17275/per.20.44.7.3

Abstract

Reading comprehension skill is seen as a predictor of word problem-solving performance, and the close relationship between reading comprehension and mathematical skills is accentuated. On the other hand, more research is needed as to determine how logical thinking and word problem solving are related to each other and to analyze the role of reading comprehension in this relationship. The aim of the study is to examine the role of reading comprehension in the relation between logical reasoning and word problem-solving in 158 fourth grade primary school students. The data were collected through the administration of logical reasoning, syllogistic reasoning, and reading comprehension tests, and word problems. In this research, which makes use of a predictive correlational research model, the regression analysis was used to test the direct and indirect relationships between word problem solving, logical reasoning, inference making, and reading comprehension skills. As a result of the research, the relationships between the variables were found to be positively significant. Besides, reading comprehension seems to play a partial mediating role in the relationship between logical reasoning and word problem-solving. The positive correlation between word problem solving and logical reasoning skills suggests that activities to improve word problem-solving performance should be supported by logical reasoning- and inference making-related activities. The fact that reading comprehension skills play a mediating role between these two performances reveals the importance of linguistic skills such as reading comprehension in the development of logical and mathematical thinking.

References

  • Andersson, U. (2007). The contribution of working memory to children's mathematical word problem solving. Applied Cognitive Psychology, 21(9), 1201–1216. https://doi.org/10.1002/acp.1317.
  • Attridge, N., & Inglis, M. (2013). Advanced mathematical study and the development of conditional reasoning skills. PLoS One, 8, e69399.
  • Bae, Y. S., Chiang, H. M., & Hickson, L. (2015). Mathematical word problem solving ability of children with autism spectrum disorder and their typically developing peers. Journal of Autism and Developmental Disorders, 45, 2200–2208. https://doi.org/ 10.1007/s10803-015-2387-8.
  • Baron, R.M. & Kenny, D.A. (1986). The moderator-mediator variable distinction in social psychological research: Conceptual, strategic, and statistical considerations, Journal of Personality and Social Psychology, 51, 1173–82.
  • Boonen, A. J. H., Van der Schoot, M., Van Wesel, F., De Vries, M. H., and Jolles, J. (2013). What underlies successful word problem solving? A path analysis in sixth grade students. Contemp. Educ. Psychol. 38, 271–279. doi: 10.1016/j.cedpsych.2013.05.001
  • Burmaoğlu, S., Polat, M. ve Meydan, C. H. (2013). Örgütsel davranış alanında ilişkisel analiz yöntemleri ve türkçe yazında aracılık modeli kullanımı üzerine bir inceleme. Anadolu Üniversitesi Sosyal Bilimler Dergisi, 13(1), 13-26.
  • Björn, P. M., Aunola, K. & Nurmi, J. E. (2016) Primary school text comprehension predicts mathematical word problem-solving skills in secondary school. Educational Psychology, 36(2), 362-377, DOI: 10.1080/01443410.2014.992392
  • Can, D. (2017). İlkokul dördüncü sınıf öğrencilerinin sayı duyularının bağlam temelli ve bağlam temelli olmayan problem durumlarında incelenmesi, [Examination of fourth grade elementary school students' number sense in context-based and noncontext-based problems] (Unpublished doctoral dissertation). Hacettepe Üniversitesi, Eğitim Bilimleri Enstitüsü, Ankara.
  • Can, D., Altunya, H. & Can, V. (2019). 8-12 yaş aralığındaki öğrencilerin mantıksal düşünme becerileri üzerine bir araştırma. YYÜ Eğitim Fakültesi Dergisi, 16 1), 1136-1166.
  • Cain, K., & Oakhill, J. V. (1999). Inference making ability and its relation to comprehension failure in young children. Reading and Writing: An Interdisciplinary Journal, 11, 489–503. Cain, K., Oakhill, J., & Bryant, P. (2004). Children’s reading comprehension ability: concurrent prediction by working memory, verbal ability, and component skills. Journal of Educational Psychology, 96 (1), 31-42.
  • Cohen J., Cohen P., West S. G. ve Aiken L. S. (2003). Applied Multiple Regression / Correlation Analysis for the Behavioral Sciences (3rd Edition) Mahwaj, NJ: Erlbaum.
  • Çetinkaya Özdemir, E. & Akyol, H. (2019). The development of a reading comprehension test. Universal Journal of Educational Research, 7(2), 563-570.
  • De Corte, E., & Verschaffel, L. (1987). The effect of semantic structure on first graders' strategies for solving addition and subtraction word problems. Journal for Research in Mathematics Education, 363–381.
  • De Smedt, B., Taylor, J., Archibald, L., & Ansari, D. (2010). How is phonological processing related to individual differences in children’s arithmetic skills? Developmental Science, 13, 508–520.
  • Fraenkel, J.R., Wallen, N.E., & Hyun, H.H. (2012). How to design and evaluate research in education (Eight Edition). New York: McGraw-Hill.
  • Fuchs, L.S., Fuchs, D., Compton, D.L., Powell, S.R., Seethaler, P.M., Capizzi A.M. & Fletcher, J.M. (2006). The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Journal of Educational Psychology, 98, 29–43. DOI: 10.1037/0022- 0663.98.1.29.
  • Fuchs, L.S., Fuchs, D., Compton, D.L., Hamlett, C.L., Wang, A.Y. (2015).Is word-problem solving a form of text comprehension? Scientific Studies of Reading, 19, 204–223. DOI: 10.1080/10888438.1005745
  • Fuchs, L.S., Fuchs, D., Stuebing, K., Fletcher, J.M., Hamlett, C.L., Lambert, W.E. (2008). Problem-solving and computation skills: Are they shared or distinct aspects of mathematical cognition? Journal of Educational Psychology, 100, 30–47. DOI: 10.1037/0022-0663.100.1.30.
  • Fuchs, L. S., Gilbert, J. K., Fuchs, D., Seethaler, P. M. & Martin, B. (2018) Text comprehension and oral language as predictors of word-problem solving: Insights into word-problem solving as a form of text comprehension, Scientific Studies of Reading, 22, 1–15.
  • Haars, V. J., & Mason, E. J. (1986). Children’s understanding of class inclusion and their ability to reason with implication. International Journal of Behavioral Development, 9(1), 45–63 Handley, S., Capon, A., Beveridge, M., Dennis, I., & Evans, J.S.B.T. (2004). Working memory, inhibitory control, and the development of children’s reasoning. Thinking & Reasoning, 10, 175–195.
  • Hannon, B., & Daneman, M. (2001). A new tool for measuring and understanding individual differences in the component processes of reading comprehension. Journal of Educational Psychology, 93, 103–128. http://dx.doi.org/10.1037/0022-0663.93.1.103.
  • Hayes, A. F. (2013). Introduction to mediation, moderation, and conditional process analysis. A regression-based approach. New York: The Guilford Press. Iacobucci, D. (2008), Mediation Analysis, Thousand Oaks, CA: Sage.
  • Imam, O., Abas-Mastura, M., Jamil, H. (2013). Correlation between reading comprehension skills and students’ performance in mathematics. International Journal of Evaluation and Research in Education. 2 (1), 1-8.
  • Imam, O. (2016). Effects of Reading Skills on Students’ Performance in Science and Mathematics in Public and Private Secondary Schools. Journal of Education and Learning, 10(2), 177-186.
  • Inglis, M., & Simpson, A. (2009). Conditional inference and advanced mathematical study: Further evidence. Educational Studies in Mathematics, 72, 185–198. Jordan, N. C., Levine, S. C., & Huttenlocher, J. (1995). Calculation abilities in young children with different patterns of cognitive functioning. Journal of Learning Disabilities, 28(1), 53–64. Kline, R.B. (2011). Principles and practice of structural equation modeling. 3. New York, NY: Guilford.
  • Kintsch, W., Greeno, J.G. (1985). Understanding and solving word arithmetic problems. Psychological Review, 92, 109–129. DOI: 10.1037/0033-295X.92.1.109
  • Koğar, H. (2015). PISA 2012 Matematik Okuryazarlığını Etkileyen faktörlerin Aracılık Modeli ile İncelenmesi. Eğitim ve Bilim, 179, 45-55.
  • Koponen, T., Aunola, K., Ahonen, T., & Nurmi, J.-E. (2007). Cognitive predictors of singledigit and procedural calculation skills and their covariation with reading skill. Journal of Experimental Child Psychology, 97, 220–241.
  • Malloy, C. E. & Jones, M. G. (1998). An investigation of American students’ mathematical problem solving. Journal for Research in Mathematics Education, 29 (2), 143-163.
  • Ministry of National Education. (2018). İlkokul matematik dersi 1-4. sınıflar öğretim programı [Primary schools mathematics education program for grades 1-4]. Ankara, Turkey. Morsanyi, K., & Handley, S.J. (2012). Reasoning on the basis of fantasy content: Two studies with high-functioning autistic adolescents. Journal of Autism and Developmental Disorders, 42, 2297– 2311.
  • Morsanyi, K., McCormack, T. & O'Mahony, E. (2018). The link between deductive reasoning and mathematics, Thinking & Reasoning, 24(2), 234-257, DOI: 10.1080/13546783.2017.1384760
  • Morsanyi, K., & Szücs, D. (2015). Intuition in mathematical and probabilistic reasoning. In R. C. Kadosh & A. Dowker (Eds.), Oxford library of psychology. The Oxford handbook of numerical cognition (p. 180–200). Oxford University Press. https://doi.org/10.1093/oxfordhb/9780199642342.013.016
  • Nunes, T., Bryant, P., Evans, D., Bell, D., Gardner, A., Gardner, A. & Carraher, J. (2007). The contribution of logical reasoning to the learning of mathematics in primary school. British Journal of Developmental Psychology, 25(1), 147–166.
  • Pape, S.J. (2004). Middle school children’s problem-solving behavior: A cognitive analysis from a reading comprehension perspective. Journal for Research in Mathematics Education, 35, 187–219.
  • Piaget, J. (1952). The child’s conception of number. London: Routledge & Kegan Paul.
  • Pimperton, H., & Nation, K. (2010). Understanding words, understanding numbers: An exploration of the mathematical profiles of poor comprehenders. British Journal of Educational Psychology, 80, 255–268.
  • Russell, B. (1919). Introduction to mathematical philosophy. London: George Allen & Unwin.
  • Schröder, E., Bödeker, K., & Edelstein, W. (2000). The development of syllogistic reasoning: A manual including measurement procedures and descriptive analyses; Study’’ individual development and social structure’’; Data handbooks. Max-Planck-Institut für Bildungsforschung.
  • Spencer, M., Fuchs, L. S. & Fuchs, D. (2020). Language-related longitudinal predictors of arithmetic Word problem solving: A structural equation modeling approach. Contemporary Educational Psychology, 60, 1-16.
  • Swanson, H. L., Jerman O., Zheng, X. (2008). Growth in working memory and mathematical problem solving in children at risk and not at risk for serious math difficulties. Journal of Educational Psychology, 100, 343–379. doi:10.1037/0022-0663.100.2.343.
  • Tajika, H., Nakatsu, N., Nozaki, H., Neumann, E., & Maruno, S. (2007). Effects of self‐- explanation as a metacognitive strategy for solving mathematical word problems. Japanese Psychological Research, 49(3), 222-233. doi: http://doi.org/10.1111./j.1468-5884.2007.00349.x.
  • Thevenot, C., Devidal, M., Barrouillet, 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(1), 43–56. https://doi.org/10.1080/17470210600587927.
  • Timmermans, R. E., Van Lieshout, E. & Verhoeven, L. (2007). Gender-related effects of contemporary math instruction for low performers on problem-solving behavior. Learning and Instruction, 17, 42-54.
  • Verschaffel, L., Greer, B., & De Corte, E. (2000). Making sense of word problems. Lisse, The Netherlands: Swets & Zeitlinger.
  • Vilenius-Tuohimaa, P. M., Aunola, K., Nurmi, J.E. (2008).The association between mathematical word problems and reading comprehension. Educational Psychology, 28, 409–426. DOI: 10.1080/01443410701708228
  • Wong, T. T. (2018). Is conditional reasoning related to mathematical problem solving? Developmental Science, 21, 1-12.
  • Yuill, N. & Oakhill, J. (1991). Children’s problems in text comprehension. An experimental investigation. Cambridge: Cambridge University Press.
Year 2020, Volume: 7 Issue: 3, 230 - 246, 01.12.2020
https://doi.org/10.17275/per.20.44.7.3

Abstract

References

  • Andersson, U. (2007). The contribution of working memory to children's mathematical word problem solving. Applied Cognitive Psychology, 21(9), 1201–1216. https://doi.org/10.1002/acp.1317.
  • Attridge, N., & Inglis, M. (2013). Advanced mathematical study and the development of conditional reasoning skills. PLoS One, 8, e69399.
  • Bae, Y. S., Chiang, H. M., & Hickson, L. (2015). Mathematical word problem solving ability of children with autism spectrum disorder and their typically developing peers. Journal of Autism and Developmental Disorders, 45, 2200–2208. https://doi.org/ 10.1007/s10803-015-2387-8.
  • Baron, R.M. & Kenny, D.A. (1986). The moderator-mediator variable distinction in social psychological research: Conceptual, strategic, and statistical considerations, Journal of Personality and Social Psychology, 51, 1173–82.
  • Boonen, A. J. H., Van der Schoot, M., Van Wesel, F., De Vries, M. H., and Jolles, J. (2013). What underlies successful word problem solving? A path analysis in sixth grade students. Contemp. Educ. Psychol. 38, 271–279. doi: 10.1016/j.cedpsych.2013.05.001
  • Burmaoğlu, S., Polat, M. ve Meydan, C. H. (2013). Örgütsel davranış alanında ilişkisel analiz yöntemleri ve türkçe yazında aracılık modeli kullanımı üzerine bir inceleme. Anadolu Üniversitesi Sosyal Bilimler Dergisi, 13(1), 13-26.
  • Björn, P. M., Aunola, K. & Nurmi, J. E. (2016) Primary school text comprehension predicts mathematical word problem-solving skills in secondary school. Educational Psychology, 36(2), 362-377, DOI: 10.1080/01443410.2014.992392
  • Can, D. (2017). İlkokul dördüncü sınıf öğrencilerinin sayı duyularının bağlam temelli ve bağlam temelli olmayan problem durumlarında incelenmesi, [Examination of fourth grade elementary school students' number sense in context-based and noncontext-based problems] (Unpublished doctoral dissertation). Hacettepe Üniversitesi, Eğitim Bilimleri Enstitüsü, Ankara.
  • Can, D., Altunya, H. & Can, V. (2019). 8-12 yaş aralığındaki öğrencilerin mantıksal düşünme becerileri üzerine bir araştırma. YYÜ Eğitim Fakültesi Dergisi, 16 1), 1136-1166.
  • Cain, K., & Oakhill, J. V. (1999). Inference making ability and its relation to comprehension failure in young children. Reading and Writing: An Interdisciplinary Journal, 11, 489–503. Cain, K., Oakhill, J., & Bryant, P. (2004). Children’s reading comprehension ability: concurrent prediction by working memory, verbal ability, and component skills. Journal of Educational Psychology, 96 (1), 31-42.
  • Cohen J., Cohen P., West S. G. ve Aiken L. S. (2003). Applied Multiple Regression / Correlation Analysis for the Behavioral Sciences (3rd Edition) Mahwaj, NJ: Erlbaum.
  • Çetinkaya Özdemir, E. & Akyol, H. (2019). The development of a reading comprehension test. Universal Journal of Educational Research, 7(2), 563-570.
  • De Corte, E., & Verschaffel, L. (1987). The effect of semantic structure on first graders' strategies for solving addition and subtraction word problems. Journal for Research in Mathematics Education, 363–381.
  • De Smedt, B., Taylor, J., Archibald, L., & Ansari, D. (2010). How is phonological processing related to individual differences in children’s arithmetic skills? Developmental Science, 13, 508–520.
  • Fraenkel, J.R., Wallen, N.E., & Hyun, H.H. (2012). How to design and evaluate research in education (Eight Edition). New York: McGraw-Hill.
  • Fuchs, L.S., Fuchs, D., Compton, D.L., Powell, S.R., Seethaler, P.M., Capizzi A.M. & Fletcher, J.M. (2006). The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Journal of Educational Psychology, 98, 29–43. DOI: 10.1037/0022- 0663.98.1.29.
  • Fuchs, L.S., Fuchs, D., Compton, D.L., Hamlett, C.L., Wang, A.Y. (2015).Is word-problem solving a form of text comprehension? Scientific Studies of Reading, 19, 204–223. DOI: 10.1080/10888438.1005745
  • Fuchs, L.S., Fuchs, D., Stuebing, K., Fletcher, J.M., Hamlett, C.L., Lambert, W.E. (2008). Problem-solving and computation skills: Are they shared or distinct aspects of mathematical cognition? Journal of Educational Psychology, 100, 30–47. DOI: 10.1037/0022-0663.100.1.30.
  • Fuchs, L. S., Gilbert, J. K., Fuchs, D., Seethaler, P. M. & Martin, B. (2018) Text comprehension and oral language as predictors of word-problem solving: Insights into word-problem solving as a form of text comprehension, Scientific Studies of Reading, 22, 1–15.
  • Haars, V. J., & Mason, E. J. (1986). Children’s understanding of class inclusion and their ability to reason with implication. International Journal of Behavioral Development, 9(1), 45–63 Handley, S., Capon, A., Beveridge, M., Dennis, I., & Evans, J.S.B.T. (2004). Working memory, inhibitory control, and the development of children’s reasoning. Thinking & Reasoning, 10, 175–195.
  • Hannon, B., & Daneman, M. (2001). A new tool for measuring and understanding individual differences in the component processes of reading comprehension. Journal of Educational Psychology, 93, 103–128. http://dx.doi.org/10.1037/0022-0663.93.1.103.
  • Hayes, A. F. (2013). Introduction to mediation, moderation, and conditional process analysis. A regression-based approach. New York: The Guilford Press. Iacobucci, D. (2008), Mediation Analysis, Thousand Oaks, CA: Sage.
  • Imam, O., Abas-Mastura, M., Jamil, H. (2013). Correlation between reading comprehension skills and students’ performance in mathematics. International Journal of Evaluation and Research in Education. 2 (1), 1-8.
  • Imam, O. (2016). Effects of Reading Skills on Students’ Performance in Science and Mathematics in Public and Private Secondary Schools. Journal of Education and Learning, 10(2), 177-186.
  • Inglis, M., & Simpson, A. (2009). Conditional inference and advanced mathematical study: Further evidence. Educational Studies in Mathematics, 72, 185–198. Jordan, N. C., Levine, S. C., & Huttenlocher, J. (1995). Calculation abilities in young children with different patterns of cognitive functioning. Journal of Learning Disabilities, 28(1), 53–64. Kline, R.B. (2011). Principles and practice of structural equation modeling. 3. New York, NY: Guilford.
  • Kintsch, W., Greeno, J.G. (1985). Understanding and solving word arithmetic problems. Psychological Review, 92, 109–129. DOI: 10.1037/0033-295X.92.1.109
  • Koğar, H. (2015). PISA 2012 Matematik Okuryazarlığını Etkileyen faktörlerin Aracılık Modeli ile İncelenmesi. Eğitim ve Bilim, 179, 45-55.
  • Koponen, T., Aunola, K., Ahonen, T., & Nurmi, J.-E. (2007). Cognitive predictors of singledigit and procedural calculation skills and their covariation with reading skill. Journal of Experimental Child Psychology, 97, 220–241.
  • Malloy, C. E. & Jones, M. G. (1998). An investigation of American students’ mathematical problem solving. Journal for Research in Mathematics Education, 29 (2), 143-163.
  • Ministry of National Education. (2018). İlkokul matematik dersi 1-4. sınıflar öğretim programı [Primary schools mathematics education program for grades 1-4]. Ankara, Turkey. Morsanyi, K., & Handley, S.J. (2012). Reasoning on the basis of fantasy content: Two studies with high-functioning autistic adolescents. Journal of Autism and Developmental Disorders, 42, 2297– 2311.
  • Morsanyi, K., McCormack, T. & O'Mahony, E. (2018). The link between deductive reasoning and mathematics, Thinking & Reasoning, 24(2), 234-257, DOI: 10.1080/13546783.2017.1384760
  • Morsanyi, K., & Szücs, D. (2015). Intuition in mathematical and probabilistic reasoning. In R. C. Kadosh & A. Dowker (Eds.), Oxford library of psychology. The Oxford handbook of numerical cognition (p. 180–200). Oxford University Press. https://doi.org/10.1093/oxfordhb/9780199642342.013.016
  • Nunes, T., Bryant, P., Evans, D., Bell, D., Gardner, A., Gardner, A. & Carraher, J. (2007). The contribution of logical reasoning to the learning of mathematics in primary school. British Journal of Developmental Psychology, 25(1), 147–166.
  • Pape, S.J. (2004). Middle school children’s problem-solving behavior: A cognitive analysis from a reading comprehension perspective. Journal for Research in Mathematics Education, 35, 187–219.
  • Piaget, J. (1952). The child’s conception of number. London: Routledge & Kegan Paul.
  • Pimperton, H., & Nation, K. (2010). Understanding words, understanding numbers: An exploration of the mathematical profiles of poor comprehenders. British Journal of Educational Psychology, 80, 255–268.
  • Russell, B. (1919). Introduction to mathematical philosophy. London: George Allen & Unwin.
  • Schröder, E., Bödeker, K., & Edelstein, W. (2000). The development of syllogistic reasoning: A manual including measurement procedures and descriptive analyses; Study’’ individual development and social structure’’; Data handbooks. Max-Planck-Institut für Bildungsforschung.
  • Spencer, M., Fuchs, L. S. & Fuchs, D. (2020). Language-related longitudinal predictors of arithmetic Word problem solving: A structural equation modeling approach. Contemporary Educational Psychology, 60, 1-16.
  • Swanson, H. L., Jerman O., Zheng, X. (2008). Growth in working memory and mathematical problem solving in children at risk and not at risk for serious math difficulties. Journal of Educational Psychology, 100, 343–379. doi:10.1037/0022-0663.100.2.343.
  • Tajika, H., Nakatsu, N., Nozaki, H., Neumann, E., & Maruno, S. (2007). Effects of self‐- explanation as a metacognitive strategy for solving mathematical word problems. Japanese Psychological Research, 49(3), 222-233. doi: http://doi.org/10.1111./j.1468-5884.2007.00349.x.
  • Thevenot, C., Devidal, M., Barrouillet, 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(1), 43–56. https://doi.org/10.1080/17470210600587927.
  • Timmermans, R. E., Van Lieshout, E. & Verhoeven, L. (2007). Gender-related effects of contemporary math instruction for low performers on problem-solving behavior. Learning and Instruction, 17, 42-54.
  • Verschaffel, L., Greer, B., & De Corte, E. (2000). Making sense of word problems. Lisse, The Netherlands: Swets & Zeitlinger.
  • Vilenius-Tuohimaa, P. M., Aunola, K., Nurmi, J.E. (2008).The association between mathematical word problems and reading comprehension. Educational Psychology, 28, 409–426. DOI: 10.1080/01443410701708228
  • Wong, T. T. (2018). Is conditional reasoning related to mathematical problem solving? Developmental Science, 21, 1-12.
  • Yuill, N. & Oakhill, J. (1991). Children’s problems in text comprehension. An experimental investigation. Cambridge: Cambridge University Press.
There are 47 citations in total.

Details

Primary Language English
Subjects Studies on Education
Journal Section Research Articles
Authors

Derya Can 0000-0003-1257-8793

Publication Date December 1, 2020
Acceptance Date June 22, 2020
Published in Issue Year 2020 Volume: 7 Issue: 3

Cite

APA Can, D. (2020). The Mediator Effect of Reading Comprehension in the Relationship between Logical Reasoning and Word Problem Solving. Participatory Educational Research, 7(3), 230-246. https://doi.org/10.17275/per.20.44.7.3