International Association of Educators   |  ISSN: 2834-7919   |  e-ISSN: 1554-5210
International Journal of Progressive Education
International Association of Educators

Original article | International Journal of Progressive Education 2023, Vol. 19(5) 172-185

Mathematical Reasoning Skills as a Predictive of Number Sense

Ahsen Seda Bulut & Okan Kuzu

pp. 172 - 185   |  DOI: https://doi.org/10.29329/ijpe.2023.603.11   |  Manu. Number: MANU-2211-07-0011.R1

Published online: October 16, 2023  |   Number of Views: 40  |  Number of Download: 133

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Abstract

This study aims to examine the relationship between number sense skills and mathematical reasoning skills of preservice mathematics teachers. The research was conducted with 124 preservice mathematics teachers in the 2018-2019 academic year. Correlational model, one of the quantitative research methods, is used in the research. Data was analysed by the simple linear regression analysis, and the multiple regression analysis. As a result of the analysis, it was determined that the mathematical reasoning skills and the number sense skills of the preservice mathematics teachers were at "High" level. A statistically significant relationshi was observed between preservice mathematics teachers' mathematical reasoning skills and their number sense skills, both in general and in some of its factors. Besides, the main findings of this study was determined that mathematical reasoning skill was a significant predictor of the number sense skill. It was seen that the strongest predictor of number sense was "solving non-routine problems" and the weakest predictor was "recognizing and using mathematical patterns". Thus, it is thought that this study is particularly important in that it emphasizes the strong relationship between number sense and non-routine problems and illustrates that this aspect has a great importance in terms of number sense skills of preservice mathematics teachers.

Keywords: Number Sense, Mathematical Reasoning Skills, Preservice Mathematics Teachers

How to Cite this Article?

APA 6th edition
Bulut, A.S. & Kuzu, O. (2023). Mathematical Reasoning Skills as a Predictive of Number Sense . International Journal of Progressive Education, 19(5), 172-185. doi: 10.29329/ijpe.2023.603.11

Harvard
Bulut, A. and Kuzu, O. (2023). Mathematical Reasoning Skills as a Predictive of Number Sense . International Journal of Progressive Education, 19(5), pp. 172-185.

Chicago 16th edition
Bulut, Ahsen Seda and Okan Kuzu (2023). "Mathematical Reasoning Skills as a Predictive of Number Sense ". International Journal of Progressive Education 19 (5):172-185. doi:10.29329/ijpe.2023.603.11.
References
  1. Altun, M. (2005). İlköğretim ikinci kademe (6-7 ve 8.sınıflarda) matematik öğretimi [Teaching mathematics in primary education second level (6-7 and 8th grades)]. Bursa: Aktüel Yayınları [Bursa: Aktüel Publications]. [Google Scholar]
  2. Almeida, R., Bruno, A., & Perdomo-Díaz, J. (2016). Strategies of number sense in pre-service secondary mathematics teachers. International Journal of Science and Math Education, 14, 959–978.  [Google Scholar]
  3. Ak, Y. & Ertekin, E. (2020). A study on the relationship between number sense and math anxiety of 7th and 8th grade students. OPUS International Journal of Society Researches, 16(31) , 4047–4076.  [Google Scholar]
  4. Aunio, P., Niemivirta, M., Hautamäki, J., Van Luit, J. E., Shi, J., & Zhang, M. (2006). Young children's number sense in China and Finland. Scandinavian Journal of Educational Research, 50(5), 483–502. [Google Scholar]
  5. Baki, A. (2008). Kuramdan uygulamaya matematik eğitimi [Mathematics education from theory to practice]. Ankara: Harf Eğitim Yayıncılığı [Ankara: Harf Eğitim Publishing]. [Google Scholar]
  6. Ball, D. L., & Bass, H. (2003). Making mathematics reasonable in school. In J. Kilpatrick, W. G. Martin, & D. Schifter (Ed.) A Research Companion to principles and standards for school mathematics. 27-44. Reston, VA: National Council of Teachers of Mathematics. [Google Scholar]
  7. Boz-Yaman, B., & Bulut, S. (2017). Middle school mathematics teachers’ opinions on estimation. Necatibey Faculty of Education Electronic Journal of Science and Mathematics Education, 11(1), 48–80. [Google Scholar]
  8. Brodie, K. (2010). Teaching mathematical reasoning in secondary school classrooms. London: Springer. [Google Scholar]
  9. Can, D. (2020). An analysis on the number sense performances of preservice primary school teachers based on their logical thinking ability. Cumhuriyet International Journal of Education, 9(2), 367-389. [Google Scholar]
  10. Case, R. (1998). A psychological model of number sense and its development. Paper presented at the annual meeting of the American Educational Research Association, San Diego, CA. [Google Scholar]
  11. Chrysostomou, M., Pitta-Pantazi, D., Tsingi, C., Cleanthous, E., & Christou, C. (2013). Examining number sense and algebraic reasoning through cognitive styles. Educational Studies in Mathematics, 83(2), 205–223. [Google Scholar]
  12. Cohen, L., & Manion, L. (1994). Research methods in education (Fourth Edition). London: Routledge. [Google Scholar]
  13. Courtney-Clarke, M., & Wessels, H. (2014). Number sense of final year pre-service primary school teachers: Original research. Pythagoras, 35(1), 9 pages. [Google Scholar]
  14. Çoban, H. (2010). Investigating the relationship between the level of students? using mathematical reasoning skills and using metacognitive learning strategies. Master's thesis, Gaziosmanpaşa University Institute of Social Sciences, Tokat.  [Google Scholar]
  15. Dowker, A. (1992). Computational estimation strategies of professional mathematicians. Journal for Research in Mathematics Education, 23(1), 45–55. [Google Scholar]
  16. Dündar, S. & Yaman, H. (2015). To examine how the skills of class teacher candidates in terms of interpreting tables and graphics hange according to mathematical reasoning skills. Kastamonu Education Journal, 23(4), 1695–1710.  [Google Scholar]
  17. Evans, J. D. (1996). Straightforward statistics for the behavioral sciences. Pacific Grove, CA: Brooks/Cole Publishing. [Google Scholar]
  18. Fraenkel, J. R., & Wallen, N. E. (2006). How to design and evaluate research in education, Sixth Edition, New York: McGraw-Hill. [Google Scholar]
  19. Gersten, R., & Chard, D. (1999). Number sense: Rethinking arithmetic instruction for students with mathematical disabilities. The Journal of Special Education, 33(1), 18–28. [Google Scholar]
  20. Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22(3), 170–218. [Google Scholar]
  21. Gülbağcı-Dede, H. (2015). Investigation of number sense of primary and secondary school mathematics teacher candidates. Doctoral dissertation, Marmama University Institute of Educational Sciences, Istanbul. [Google Scholar]
  22. Hope, J. (1989). Promoting number sense in school. The Arithmetic Teacher, 36(6), 12. [Google Scholar]
  23. Howden, H. (1989). Teaching number sense. Arithmetic Teacher, 36, 6–11. [Google Scholar]
  24. Howell, S., & Kemp, C. (2005). Defining early number sense: A participatory Australian study. Educational Psychology, 25(5), 555–571. [Google Scholar]
  25. Işık, C., & Kar, T. (2011). Investigating of the number perception and nonroutine problem solving skills of 6th, 7th and 8th grade students. Ahi Evran University Journal of Kırşehir Education Faculty, 12(1), 57–72. [Google Scholar]
  26. Jordan, N.C., Glutting, J., & Ramineni, C. (2010), The importance of number sense to mathematics achievement in first and third grades. Learning and Individual Differences, 20 (2), 82–88. [Google Scholar]
  27. Kayhan-Altay, M., & Umay, A. (2013). The development of number sense scale towards middle grade students. Education and Science, 38(167), 241–255. [Google Scholar]
  28. Kim, H. Y. (2013). Statistical notes for clinical researchers: Assessing normal distribution using skewness and kurtosis. Restorative Dentistry & Endodontics, 38(1), 52–54. [Google Scholar]
  29. Kuzu, O. (2021). Diagnostic assessment of preservice mathematics and science teachers' attributes on integral. YYU Journal of Education Faculty, 16(1), 1402–1418. [Google Scholar]
  30. Kuzu, O., Kuzu, Y., & Sıvacı, S. Y. (2018). Preservice teachers’ attitudes and metaphor perceptions towards Mathematics. Cukurova University Faculty of Education Journal, 47(2), 897–931. [Google Scholar]
  31. McIntosh, A., Reys, B. J., & Reys, R. E. (1992). A proposed framework for examining basic number sense. For the Learning of Mathematics, 12(3), 2–9. [Google Scholar]
  32. Ministry of National Education, (2018). Mathematics (1-2-3-4-5-6-7-8th grade) curriculum. Board of Education and Discipline. [Google Scholar]
  33. Mohamed, M., & Johnny, J. (2010). Investigating number sense among students. Procedia-Social and Behavioral Sciences, 8, 317–324. [Google Scholar]
  34. National Counsil Of Teachers of Mathematics (1989). Curriculum and evalution standards for school mathematics. Reston, VA: NCTM. [Google Scholar]
  35. NCTM, (2000). Principles and standards for school mathematics. https://www.nctm.org/uploadedFiles/Standards_and_Positions/PSSM_ExecutiveSummary.pdf. Accessed June 10, 2022. [Google Scholar]
  36. National Research Council. (2001). Adding it up: Helping children learn mathematics. In J. Kilpatrick, J. Swafford,  B. Findel (Eds.), Mathematics learning study committee, center for education, division of andbehavioral and social sciences and education. Washington, DC: National Academy Press [Google Scholar]
  37. Reys, R. E., & Yang, D. C. (1998) Relationship between computational performance and number sense among sixth- and eighth-grade students in Taiwan, Journal for Research in Mathematics, 29, 225–237. [Google Scholar]
  38. Sayın, S., Özdemir, Ü., & Oner, A. T. (2022). Mathematics teachers’ ınstructional explanations and estimation skills about area measurement. Ahi Evran University Journal of Kırşehir Education Faculty, 23, 84–127. Special Issue. [Google Scholar]
  39. Siegler, R. S.& Booth, J. L. (2005). Development of numerical estimation a review. Edited Jamie I.D. Campbell. Handbook of Mathematical Cognition. [Google Scholar]
  40. Singh, P. (2009). An assessment of number sense among secondary school students. International Journal for Mathematics Teaching and Learning, 155, 1–29. [Google Scholar]
  41. Sturdevant, R.J. (1991). Investigating the use of number sense by elementary students in grades 4, 6, and 8. PhD Thesis, University of Missouri, Colombia. [Google Scholar]
  42. Şengül, S., & Gülbağcı-Dede, H. (2013). An investigation of classification of number sense components. International Journal of Social Science, 6(8), 645–664. [Google Scholar]
  43. Şenol, A., Dündar, S., & Gündüz, N. (2015). Analysis of the relationship between estimation skills based on calculation and number sense of prospective classroom teachers. International Journal of Progressive Education, 11(3), 90–105. [Google Scholar]
  44. Takır, A. (2016). Investigating the relations number sense ability of 6th, 7th and 8th grade students between their grade level, gender and mathematics self-efficiency level.  Dicle University, Journal of Ziya Gökalp Faculty of Education, 29, 309–323. [Google Scholar]
  45. Toulmin, S., Rieke, R., & Janik, A. (1984). An introduction to reasoning (Second Edition). New York: Macmillan Publishing Co. [Google Scholar]
  46. Tsao, Y. L. (2004). Exploring the connections among number sense, mental computation performance, and the written computation performance of elementary preservice school teachers. Journal of College Teaching & Learning, 1(12), 71–90. [Google Scholar]
  47. Tunalı, C. (2018). The determination of gifted students' level of number sense. Master's thesis, Dokuz Eylul University Institute of Educational Sciences, Izmir.  [Google Scholar]
  48. Umay, A., & Kaf, Y. (2005). A study on flawed reasoning in mathematics. Hacettepe University Journal of Education, 28, 188–195. [Google Scholar]
  49. Wood, J. M. (2007). Understanding and computing Cohen’s kappa: A tutorial. Web Psych Empiricist. Retrieved from http://wpe.info/ vault/wood07/wood07ab.html. [Google Scholar]
  50. Yang, D. C. (2003). Teaching and learning number sense–an intervention study of fifth grade students in Taiwan. International Journal of Science and Mathematics Education, 1(1), 115–134. [Google Scholar]
  51. Yang, D. C. (2007). Investigating the strategies used by pre-service teachers in Taiwan when responding to number sense questions. School Science and Mathematics, 107(7), 293–301.  [Google Scholar]
  52. Yang, D. C., Reys, R. E., & Reys, B. J. (2009). Number sense strategies used by pre-service teachers in Taiwan. International Journal of Science and Mathematics Education, 7(2), 383–403. [Google Scholar]
  53. Yeşildere, S., & Akkoç, H. (2011). Pre-Service mathematics teachers’ generalization processes of visual patterns. Pamukkale University Journal of Education, 30(30), 141–153. [Google Scholar]
  54. Yockey R.D., (2016). SPSS Demystified: A simple guide and reference (Second edition). United Kingdom: Taylor & Francis.  [Google Scholar]
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