한국수학교육학회지시리즈D:수학교육연구 (Research in Mathematical Education)

  • 제25권2호
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  • Pages.135-158
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  • 2022
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  • 1226-6191(pISSN)
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  • 2287-9943(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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Building a Model(s) to Examine the Interdependency of Content Knowledge and Reasoning as Resources for Learning

  • Cikmaz, Ali (Teaching and Learning, University of Iowa) ;
  • Hwang, Jihyun (Mathematics Education, Korea National University of Education) ;
  • Hand, Brian (Teaching and Learning, University of Iowa)
  • 투고 : 2022.06.07
  • 심사 : 2022.06.29
  • 발행 : 2022.06.30
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초록

This study aimed to building models to understand the relationships between reasoning resources and content knowledge. We applied Support Vector Machine and linear models to the data including fifth graders' scores in the Cornel Critical Thinking Test and the Iowa Assessments, demographic information, and learning science approach (a student-centered approach to learning called the Science Writing Heuristic [SWH] or traditional). The SWH model showing the relationships between critical thinking domains and academic achievement at grade 5 was developed, and its validity was tested across different learning environments. We also evaluated the stability of the model by applying the SWH models to the data of the grade levels. The findings can help mathematics educators understand how critical thinking and achievement relate to each other. Furthermore, the findings suggested that reasoning in mathematics classrooms can promote performance on standardized tests.

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과제정보

This research was supported by a grant from the Iowa Measurement Research Foundation (IMRF)

참고문헌

  1. Akkus, R., Gunel, M., & Hand, B. (2007). Comparing an inquiry- based approach known as the science writing heuristic to traditional science teaching practices: Are there differences?. International Journal of Science Education, 29(14), 1745-1765. https://doi.org/10.1080/09500690601075629
  2. Azar, A. (2010). The effect of critical thinking dispositions on students achievement in selection and placement exam for university in Turkey. Journal of Turkish Science Education, 7(1), 61-73.
  3. Bailin, S. (2002). Critical thinking and science education. Science & Education, 11, 361-375. https://doi.org/10.1023/A:1016042608621
  4. Blair, J. A. (2016). An early exchange on the interpretation of arguments in texts. Informal Logic, 36(1), 83-91. https://doi.org/10.22329/il.v36i1.4575
  5. Cai, J., Morris, A., Hohensee, C., Hwang, S., Robison, V., & Hiebert, J. (2018). The role of replication studies in educational research. Journal for Research in Mathematics Education, 49(1), 2-8. https://doi.org/10.5951/jresematheduc.49.1.0002
  6. Cavagnetto, A. R. (2010). Argument to foster scientific literacy: A review of argument interventions in K-12 science contexts. Review of Educational Research, 80(3), 336-371. doi:10.3102/0034654310376953
  7. Cleophas, T. J., & Zwinderman, A. H. (2013). Support vector machines. In Machine learning in medicine (pp. 155-161). Springer.
  8. Elias, M. J. (2001). Middle school transition: It's harder than you think. Making the transition to middle school successful. Middle Matters, 1-2. https://resources.finalsite.net/images/v1545339111/onteorak12nyus/puho8gytny9d0eijwixl/MSTransitionHarder.pdf
  9. Ennis, R. H., Millman, J., & Tomko, T. N. (2004). Cornell critical thinking tests level X & level Z manual (4th Ed.). The Critical Thinking Co.
  10. French, B. F., Hand, B., Therrien, W. J., & Valdivia Vazquez, J. A. (2012). Detection of sex differential item functioning in the Cornell Critical Thinking Test. European Journal of Psychological Assessment, 28(3), 201-207. doi:10.1027/1015-5759/a000127
  11. Hand, B., Choi, K., & Hwang, J. (2022). A longitudinal study of reasoning development in mathematics and science through argument-based inquiry. The manuscript in preparation.
  12. Hand, B., & Keys, C. W. (1999). Inquiry investigation. Science Teacher, 66(4), 27-29.
  13. Hand, B., Norton-Meier, L., & Jang, J. Y. (Eds.). (2017). More voices from the classroom: International teachers' experience with argument-based inquiry. Springer
  14. Hand, B., Shelley, M. C., Laugerman, M., Fostvedt, L., & Therrien, W. (2018). Improving critical thinking growth for disadvantaged groups within elementary school science: A randomized controlled trial using the Science Writing Heuristic approach. Science Education, 102(4), 693-710. doi:10.1002/sce.21341
  15. Hyman, L. C. (2015). Middle school plunge: A mixed-methods study exploring 6th grade students' perceptions of their transition to middle school experiences and its influences on school achievement and performance for urban youth. (Unpublished doctoral dissertation). Rowan University.
  16. Khomenko, I. (2016). Types of reasoning in argumentation. In D. Mohammed & M. Lewinski (Eds.), Argumentation and reasoned action: Proceedings of the 1st European conference on Argumentation, Lisbon, 2015 (Vol. 2, pp. 617-627). College Publication.
  17. Kingir, S., Geban, O., & Gunel, M. (2012). How does the science writing heuristic approach affect students' performances of different academic achievement levels? A case for high school chemistry. Chemistry Education Research and Practice, 13(4), 428-436. https://doi.org/10.1039/C2RP20013A
  18. Kirwan, C. (1995). Reasoning. In T. Honderich (Ed.), The Oxford companion to philosophy (2nd ed., pp. 791). Oxford University Press.
  19. Kuhn, M. (2019). Caret: Classification and regression training. R package version 6.0-84.
  20. Kuhn, M., & Johnson, K. (2013). Applied predictive modeling. Springer.
  21. Lawson, A. E. (2005). What is the role of induction and deduction in reasoning and scientific inquiry? Journal of Research in Science Teaching, 42(6), 716-740. https://doi.org/10.1002/tea.20067
  22. Lunenburg, F. C. (2011). Critical thinking and constructivism techniques for improving student achievement. National Forum of Teacher Education Journal, 21(3), 1-9.
  23. Moshman, D. (2015). Epistemic cognition and development: The psychology of justification and truth. Psychology Press.
  24. National Council of Teachers of Mathematics [NCTM]. (2000). Principles and standards for school mathematics. NCTM.
  25. National Governors Association Center for Best Practices, & Council of Chief State School Officers. (2010). Common core state standards for mathematics. http://www.corestandards.org/Math/
  26. NGSS Lead States. (2013). Next generation science standards: For states, by states. The National Academies Press.
  27. Sadler, T. D., & Zeidler, D. L. (2005). The significance of content knowledge for informal reasoning regarding socioscientific issues: Applying genetics knowledge to genetic engineering issues. Science Education, 89(1), 71-93. doi:10.1002/sce.20023
  28. Smith, O. (1953). The improvement of critical thinking. Progressive Education, 30(5), 129-134.
  29. Stephenson, N. S., & Sadler-McKnight, N. P. (2016). Developing critical thinking skills using the science writing heuristic in the chemistry laboratory. Chemistry Education Research and Practice, 17(1), 72-79. https://doi.org/10.1039/C5RP00102A
  30. Stupnisky, R. H., Renaud, R. D., Daniels, L. M., Haynes, T. L., & Perry, R. P. (2008). The interrelation of first-year college students' critical thinking disposition, perceived academic control, and academic achievement. Research in Higher Education, 49(6), 513-530. https://doi.org/10.1007/s11162-008-9093-8
  31. Taylor, J. C., Tseng, C. M., Murillo, A., Therrien, W., & Hand, B. (2018). Using argument-based science inquiry to improve science achievement for students with disabilities in inclusive classrooms. Journal of Science Education for Students with Disabilities, 21(1), 1-14.
  32. The Iowa Assessments. (2015). Research and development guide: Forms E and F. Houghton Mifflin Harcourt.
  33. Theriot, M. T., & Dupper, D. R. (2010). Student discipline problems and the transition from elementary to middle school. Education and Urban Society, 42(2), 205-222. doi:10.1177/0013124509349583
  34. Tseng, C.-M. (2014). The effects of the science writing heuristic (SWH) approach versus traditional instruction on yearly critical thinking gain scores in grade 5-8 classrooms. (Unpublished doctoral dissertation). University of Iowa.
  35. Woods, J. (2016). The fragility of argument. In F. Paglieri, L. Bonelli, & S. Felletti (Eds.), The psychology of argument: Cognitive approaches to argumentation and persuasion (pp. 99-127). College Publication.
  36. Yackel, E., & Hanna, G. (2003). Reasoning and proof. In J. Kilpatrick, W. G. Martin, & D. Schifer (Eds.), A research companion to principles and standards for school mathematics (pp. 227-236). NCTM.
  37. Yang, Y. T. C., & Chang, C. H. (2013). Empowering students through digital game authorship: Enhancing concentration, critical thinking, and academic achievement. Computers & Education, 68, 334-344. https://doi.org/10.1016/j.compedu.2013.05.023