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Spatial Reasoning Construction: The Way to Use It to Solve Geometric Problems
Abstract
The aim of this research was to determine the spatial reasoning constructs employed by pre-service elementary school teachers when solving geometry problems. A total of 36 participants were invited to complete an online test, after which two selected individuals were engaged in solving the problems. Interviews were then conducted to accurately describe the process of solving geometric problems. The results showed the existence of two types of spatial reasoning constructions, namely series and parallel. Both construction types revealed the interrelationship between spatial reasoning and the problem-solving process. This research highlighted the significance of spatial reasoning as an integral component in solving geometric problems, emphasizing the need for further investigation into its distinctiveness. This could be achieved by incorporating advanced geometric concepts and materials into future research.
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Akayuure, P., Asiedu-Addo, K. S., & Alebna, V. (2016). Investigating the Effect of Origami Instruction on Preservice Teachers’ Spatial Ability and Geometric Knowledge for Teaching. International Journal of Education in Mathematics, Science and Technology, 4(3), 198–209. https://doi.org/10.18404/ijemst.78424.
Bruce, C. D., & Hawes, Z. (2015). The role of 2D and 3D mental rotation in mathematics for young children: what is it? Why does it matter? And what can we do about it? ZDM Mathematics Education, 47(3). https://doi.org/10.1007/s11858-014-0637-4.
Bruce, C. D., Sinclair, N., Moss, J., Hawes, Z., & Caswell, B. (2015). Spatializing the Curriculum. In B. Davis (Ed.), Spatial Reasoning in the Early Years. Routledge.
Cheng, Y. L., & Mix, K. S. (2014). Spatial Training Improves Children’s Mathematics Ability. Journal of Cognition and Development, 15(1), 2–11. https://doi.org/10.1080/15248372.2012.725186.
Diezmann, C. M., & Lowrie, T. (2012). Learning To Think Spatially: What Do Students “See” in Numeracy Test Items? International Journal of Science and Mathematics Education, 10(6), 1469–1490. https://doi.org/10.1007/s10763-012-9350-3.
Francis, K., Khan, S., & Davis, B. (2016). Enactivism, Spatial Reasoning and Coding. Digital Experiences in Mathematics Education, 2(1), 1–20. https://doi.org/10.1007/s40751-015-0010-4.
Gero, J. S. (2015). Studying Visual and Spatial Reasoning for Design Creativity. New York: Springer.
Gilligan, K. A., Flouri, E., & Farran, E. K. (2017). The contribution of spatial ability to mathematics achievement in middle childhood. Journal of Experimental Child Psychology, 163. https://doi.org/10.1016/j.jecp.2017.04.016.
Gold, A. U., Pendergast, P. M., Ormand, C. J., Budd, D. A., & Mueller, K. J. (2018). Improving spatial thinking skills among undergraduate geology students through short online training exercises. International Journal of Science Education, 40(18), 2205–2225. https://doi.org/10.1080/09500693.2018.1525621.
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(3), 987–1003. https://doi.org/10.12738/estp.2016.3.0429.
Harris, D., Lowrie, T., Logan, T., & Hegarty, M. (2020). Spatial reasoning, mathematics, and gender: Do spatial constructs differ in their contribution to performance? British Journal of Educational Psychology. https://doi.org/10.1111/bjep.12371.
Hartatiana, Darhim, & Nurlaelah. (2017). Student’s Spatial Reasoning through Model Eliciting Activities with Cabri 3D. Journal of Physics: Conf. Series, 895, 1–5. https://doi.org/ 10.1088/1742-6596/895/1/012075.
Hawes, Z., Moss, J., Caswell, B., & Poliszczuk, D. (2015). Effects of mental rotation training on children’s spatial and mathematics performance: A randomized controlled study. Trends in Neuroscience and Education, 4(3), 60–68. https://doi.org/10.1016/j.tine.2015.05.001.
Joh, A. S. (2016). Training effects and sex difference in preschoolers’ spatial reasoning ability. Developmental Psychobiology, 58(7), 896–908. https://doi.org/10.1002/dev.21445.
Kurtulus, A., & Yolcu, B. (2013). A Study on Sixth-Grade Turkish Students’ Spatial Visualization Ability. Mathematics Educator, 22(2), 82–117.
Liao, K. H. (2017). The abilities of understanding spatial relations, spatial orientation, and spatial visualization affect 3D product design performance: using carton box design as an example. International Journal of Technology and Design Education, 27(1), 131–147. https://doi.org/10.1007/s10798-015-9330-3.
Lowrie, T. (2016). Spatial Reasoning Influences Students ’ Performance on Mathematics Tasks. In B. White, M. Chinnappan, & S. Trenholm (Eds.), Mathematics Education Research Group of Australasia (pp. 407–414). Adelaide: MERGA.
Lowrie, T., Harris, D., Logan, T., & Hegarty, M. (2019). The Impact of a Spatial Intervention Program on Students’ Spatial Reasoning and Mathematics Performance. Journal of Experimental Education, 0(0), 1–19. https://doi.org/10.1080/00220973.2019.1684869.
Lowrie, T., Logan, T., & Ramful, A. (2017). Visuospatial training improves elementary students’ mathematics performance. British Journal of Educational Psychology, 87(2), 170–186. https://doi.org/10.1111/bjep.12142.
Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative data analysis (3rd ed.). California.
Mulligan, J., Woolcott, G., Mitchelmore, M., & Davis, B. (2017). Connecting mathematics learning through spatial reasoning. Mathematics Education Research Journal. https://doi.org/10.1007/s13394-017-0210-x.
Patkin, D., & Fadalon, L. (2013). Developing third grade boys’ and girls’ spatial ability by means of an extra-curricular teaching unit. Journal of the Korean Society of Mathematical Education. Series D. Research in Mathematical Education, 17(2), 99–118.
Pittalis, M., & Christou, C. (2010). Types of reasoning in 3D geometry thinking and their relation with spatial ability. Educational Studies in Mathematics, 75(2), 191–212. https://doi.org/10.1007/s10649-010-9251-8.
Pradana, L. N., Sa’dijah, C., Sulandra, I. M., Sudirman, & Sholikhah, O. H. (2020). Virtual mathematics kits (VMK): The value of spatial orientation on it. European Journal of Educational Research, 9(3), 1105–1114. https://doi.org/10.12973/eu-jer.9.3.1105.
Rabab’h, B., & Veloo, A. (2015). Spatial visualization as mediating between mathematics learning strategy and mathematics achievement among 8th grade students. International Education Studies, 8(5), 1–11. https://doi.org/10.5539/ies.v8n5p1.
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.
Schoevers, E. M., Kroesbergen, E. H., & Leseman, P. P. M. (2019). Enriching mathematics education with visual arts: effects on elementary school students’ ability in geometry and visual arts. International Journal of Science and Mathematics Education. 18, 1613–1634. https://doi.org/10.1007/s10763-019-10018-z.
Vandenberg, S. G., & Kuse, A. R. (1978). Mental Rotations, a Group Test of Three-Dimensional Spatial Visualization. Perceptual and Motor Skills, 47(2), 599–604. https://doi.org/10.2466/pms.1978.47.2.599.
Williams, C., Gero, J., Lee, Y., & Paretti, M. (2010). Exploring spatial reasoning ability and design cognition in undergraduate engineering students. Proceedings of the ASME Design Engineering Technical Conference, 6, 669–676. https://doi.org/10.1115/DETC2010-28925.
Wulandari, S., Sa’Dijah, C., Irawan, E. B., & Sulandra, I. M. (2019). Spatial information processing of seventh grader in solving Geometry problems. IOP Conference Series: Earth and Environmental Science, 243(1). https://doi.org/10.1088/1755-1315/243/1/012135.
Yüksel, N. S. (2017). Visual-spatial Ability in STEM Education (M. S. Khine, ed.). Switzerland: Springer. https://doi.org/10.1007/978-3-319-44385-0.
DOI: https://doi.org/10.22342/jpm.17.2.20620.209-224
Jl. Srijaya Negara, Bukit Besar
Palembang - 30139 Indonesia
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