INVESTIGATING THE SPATIAL REASONING SKILLS OF STUDENTS IN THE CONTEXT OF MATHEMATICAL THINKING PROFILES

Emel Çilingir Altıner, M. Cihangir Doğan

Abstract


The aim of this study was to examine whether there is a relationship between the spatial reasoning skills and mathematical thinking profiles of elementary school students. The quantitative method of descriptive survey model was used in the study. The sample of the study comprised 103 fourth grade elementary school students in Turkey. The Mathematical Process Test and Spatial Reasoning Test, which are valid and reliable, were used as data collection tools. According to the answers given by the students to the Mathematical Process test, it was decided based on the upper and lower limits of each group determined beforehand that the students had a thinking profile. Scores were also collected from the Spatial Reasoning Test. MANOVA test was performed to examine whether the spatial reasoning skills differed from the mathematical thinking profiles of the students. The results revealed that students with a visual thinking profile were more successful in both the Mathematical Process Test and the Spatial Reasoning Test.

 

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mathematical thinking profiles, spatial reasoning, elementary school students

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Battista, M.T. (1990). Spatial visualization and gender differences in high school geometry. Journal for Research in Mathematics Education, 21, 47—60, DOI: 10.2307/749456.

Bremigan, E. G. (2005). An analysis of diagram modification and construction in students' solutions to applied calculus problems. Journal for research in Mathematics Education, 248-277, DOI: 10.2307/30034836.

Çilingir-Altıner, E. (2018). Relationship between Spatial Thinking and Puzzle Games of Elementary School Students. International Online Journal of Educational Sciences, 10(1), 75-87, DOI: https://doi.org/10.15345/iojes.2018.01.008.

Hacıömeroğlu, G , Hacıömeroğlu, E . (2013). Matematik İşlem Testini Türkçe’ye uyarlama çalışması ve öğretmen adaylarının matematik problemlerini çözme tercihleri [Turkish adaptation of the mathematical processing ınstrument and pre-service teachers’ problem solving preferences]. Journal of Theoretical Educational Science, 6 (2), 196-213.

Haciomeroglu, E.S. & Chicken, E. (2012). Visual thinking and gender differences in high school calculus. International Journal of Mathematical Education in Science and Technology, 43(3), 303–313, https://doi.org/10.1080/0020739X.2011.618550.

Haciomeroglu, E. S., Chicken, E., & Dixon, J. K. (2013). Relationships between gender, cognitive ability, preference, and calculus performance. Mathematical Thinking and Learning, 15(3), 175-189, https://doi.org/10.1080/10986065.2013.794255.

Haciomeroglu, E. S. (2015). The Role of Cognitive Ability and Preferred Mode of Processing in Students' Calculus Performance. Eurasia Journal of Mathematics, Science & Technology Education, 11(5), 1165-1179, https://doi.org/10.12973/eurasia.2015.1400a.

Haciomeroglu, E. S. (2016). Object-spatial visualization and verbal cognitive styles, and their relation to cognitive abilities and mathematical performance. Educational Sciences, Theory & Practice, 16, 987-1003, https://doi.org/10.12738/estp.2016.3.0429.

Hegarty, M., & Kozhevnikov, M. (1999). Types of visual–spatial representations and mathematical problem solving. Journal of educational psychology, 91(4), 684-689, http://dx.doi.org/10.1037/0022-0663.91.4.684.

Karasar, N. (1994). Bilimsel araştırma yöntemi [Scientific research method], Ankara: 3A Research Education Consulting Co., Ltd.

Kinzler, K. D., & Spelke, E. S. (2007). Core systems in human cognition. Progress in brain research, 164, 257-264, https://doi.org/10.1016/S0079-6123(07)64014-X

Kozhevnikov, M., Hegarty, M., & Mayer, R. E. (2002). Revising the visualizer-verbalizer dimension: Evidence for two types of visualizers. Cognition and Instruction, 20(1), 47-77, https://doi.org/10.1207/S1532690XCI2001_3

Krutetskii, V. A. (1976). The Psychology of Mathematical Abilities in Schoolchildren, Edited by: Kilpatrick, J. and Wirszup, I. Chicago: The University of Chicago Press.

Lowrie, T., Logan, T., & Ramful, A. (2016). Spatial Reasoning Influences Students' Performance on Mathematics Tasks. In White, B., Chinnappan, M. & Trenholm, S. (Eds.). Opening up mathematics education research (Proceedings of the 39th annual conference of the Mathematics Education Research Group of Australasia), pp. 407–414. Adelaide: MERGA.

Maeda, Y., & Yoon, S. Y. (2013). A meta-analysis on gender differences in mental rotation ability measured by the Purdue spatial visualization tests: Visualization of rotations (PSVT: R). Educational Psychology Review, 25(1), 69-94, https://doi.org/10.1007/s10648-012-9215-x.

McGee, M. G. (1979). Human spatial abilities: Psychometric studies and environmental, genetic, hormonal, and neurological influences. Psychological Bulletin, 86(5), 889-918. http://dx.doi.org/10.1037/0033-2909.86.5.889

MoNE (Turkish Ministry of National Education) [MEB]. (2015). Primary school mathematics course (1st, 2nd, 3rd and 4th grade) curriculum. Ankara: Turkish Ministry of Education.

Montenegro, P., Costa, C., & Lopes, B. (2018). Transformations in the visual representation of a figural pattern. Mathematical Thinking and Learning, 20(2), 91-107, https://doi.org/10.1080/10986065.2018.1441599.

Moses, B. E. (1977). The nature of spatial ability and its relationship to mathematical problem solving, Unpublished PhD Dissertation, Indiana University, Bloomington, IN.

Olkun, S. (2003). Comparing computer versus concrete manipulatives in learning 2D geometry. Journal of Computers in Mathematics and Science Teaching, 22(1), 43-56.

Olkun, S. & Altun, A. (2003). İlköğretim öğrencilerinin bilgisayar deneyimleri ile uzamsal düşünme ve geometri başarıları arasındaki ilişki. The Turkish Online Journal of Educational Technology, 2(4), 86-91.

Pilten, P. (2008). Üst biliş düşünme stratejileri öğretiminin ilköğretim beşinci sınıf öğrencilerinin matematiksel muhakeme becerilerine etkisi. [The effect of metacognitive instruction on mathematical reasoning of fifth grade primary school students]. Unpublished Ph.D. Dissertation, Gazi Üniversity, Ankara.

Presmeg, N. C. (1986a). Visualisation and mathematical giftedness. Educational studies in mathematics, 17(3), 297-311.

Presmeg, N. C. (1986b). Visualisation in high school mathematics. For the learning of mathematics, 6(3), 42-46.

Ramful, A., Lowrie, T., & Logan, T. (2017). Measurement of spatial ability: Construction and validation of the spatial reasoning instrument for middle school students. Journal of Psychoeducational Assessment, 35(7), 709-727, https://doi.org/10.1177/0734282916659207.

Rasmussen, C., & Bisanz, J. (2005). Representation and working memory in early arithmetic. Journal of Experimental Child Psychology, 91(2), 137-157, https://doi.org/10.1016/j.jecp.2005.01.004.

Reilly, D. & Neumann, D.L. (2013). Gender-role differences in spatial ability: a meta-analytic review, Sex Roles, 68 (9), 521-535. https://doi.org/10.1007/s11199-013-0269-0

Samuels, J. (2010). The use of technology in calculus instruction, Unpublished PhD Dissertation, Columbia University, New York, NY.

Spelke, E. S., & Kinzler, K. D. (2007). Core knowledge. Developmental science, 10(1), 89-96, https://doi.org/10.1111/j.1467-7687.2007.00569.x

Suwarsono, S. 1982. Visual imagery in the mathematical thinking of seventh grade students, Unpublished PhD Dissertation, Monash University, Melbourne, Australia.

Van Garderen, D., & Montague, M. (2003). Visual‐spatial representation, mathematical problem solving, and students of varying abilities. Learning Disabilities Research & Practice, 18(4), 246-254, https://doi.org/10.1111/1540-5826.00079.

Van Garderen, D. (2006). Spatial visualization, visual imagery, and mathematical problem solving of students with varying abilities. Journal of learning disabilities, 39(6), 496-506.

Verdine, B. N., Golinkoff, R. M., Hirsh‐Pasek, K., Newcombe, N. S., Filipowicz, A. T., & Chang, A. (2014). Deconstructing building blocks: Preschoolers' spatial assembly performance relates to early mathematical skills. Child development, 85(3), 1062-1076, https://doi.org/10.1111/cdev.12165.


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