Abstract
Geometry is a mathematical content that requires students' spatial reasoning. The difficulty experienced by students in solving geometry problems is because students do not understand spatiality and spatial visualization of three-dimensional shapes presented in two dimensions. This research is quantitative research with the main data of XII grade students. The selection of subjects is based on the three-dimensional material taught at the XII grade level. The purpose of this research is as an initial observation of the spatial correlation with students' ability to solve three-dimensional problems. Spatial indicators in this study include spatial visualization, spatial orientation and spatial relations. The material of the third dimension is about the position of the point to the point, line and plane, the position of the line to the line and plane, the position of the plane to the plane and the distance of the line to the line and plane. The research method used is assisted by Ms.Excel to determine the correlation between spatial abilities with geometry skills of students and based on the calculation results obtained it can be concluded that there is a correlation between the spatial ability of students to the geometry ability of students in solving the three-dimensional material.
Keywords
- Spatial Ability
- Third Dimension
- Geometry
- Mathematics Learning.
References
- 1. Alexander, K. (2007). Fifth Edition Elementary Geometry For College Students.
- 2. Anwar, A., Turmudi, T., Juandi, D., Saiman, S., & Zaki, M. (2023). Level of visual geometry skill towards Kolb's learning style in junior high school. Jurnal Elemen, 9(2), 542-557. https://doi.org/10.29408/jel.v9i2.15121
- 3. Council of Teachers of Mathematics, N. (2000). Principles Standards and for School Mathematics.
- 4. Dintarini, M., Jamil, A. F., & Ismail, A. D. (2022). Secondary students' spatial thinking in solving the minimum competency assessment (MCA) on geometry. Elements Journal, 8(2), 544-555. https://doi.org/10.29408/jel.v8i2.5670
- 5. Febriana, E. (2015). Profile of Spatial Ability of Junior High School Students in Solving Three-Dimensional Geometry Problems in View of Mathematical Ability. In Elemen Journal (Vol. 1, Issue 1).
- 6. Fujita, T., Kondo, Y., Kumakura, H., & Kunimune, S. (2017). Students' geometric thinking with cube representations: Assessment framework and empirical evidence. Journal of Mathematical Behaviour, 46, 96-111. https://doi.org/10.1016/j.jmathb.2017.03.003
- 7. Hannafin, R. D., Truxaw, M. P., Vermillion, J. R., & Liu, Y. (2008). Effects of spatial ability and instructional programme on geometry achievement. Journal of Educational Research, 101(3), 148-157. https://doi.org/10.3200/JOER.101.3.148-157
- 8. Hauptman, H., & Cohen, A. (2011). The synergetic effect of learning styles on the interaction between virtual environments and the enhancement of spatial thinking. Computers and Education, 57(3), 2106-2117. https://doi.org/10.1016/j.compedu.2011.05.008
- 9. Kim, H., Koh, Y., Baek, J., & Kang, J. (2021a). Exploring the spatial reasoning ability of neural models in human IQ tests. Neural Networks, 140, 27-38. https://doi.org/10.1016/j.neunet.2021.02.018
- 10. Mahfuddin, M., & Caswita, C. (2021). Analysis of Problem Solving Ability on High Order Thinking Based Problems in View of Spatial Ability. AKSIOMA: Journal of Mathematics Education Study Programme, 10(3), 1696. https://doi.org/10.24127/ajpm.v10i3.3874
- 11. Maier, P. H. (1998). Spatial Geometry And Spatial Ability-How To Make Solid Geometry Solid?
- 12. Möhring, W., Ribner, A. D., Segerer, R., Libertus, M. E., Kahl, T., Troesch, L. M., & Grob, A. (2021). Developmental trajectories of children's spatial skills: Influencing variables and associations with later mathematical thinking. Learning and Instruction, 75. https://doi.org/10.1016/j.learninstruc.2021.101515
- 13. Pavlovicova, G., & Zahorska, J. (2015). The Attitudes of Students to the Geometry and Their Concepts about Square. Procedia - Social and Behavioural Sciences, 197, 1907-1912. https://doi.org/10.1016/j.sbspro.2015.07.253 (The Attitudes of Students to the Geometry and Their Concepts about Square - ScienceDirect)
- 14. Pilato, J., Peterson, E. G., & Anderson, A. (2023). Spatial thinking activities in PK-12 classrooms: Predictors of teachers' activity use and a framework for classifying activity types. Teaching and Teacher Education, 132. https://doi.org/10.1016/j.tate.2023.104226
- 15. Ridha, M., Suhendra, S., & Nurlaelah, E. (2023). Student Errors in Solving Three Dimensional Problems Based on Nolting Theory. AKSIOMA: Journal of Mathematics Education Study Programme, 12(2), 2426. https://doi.org/10.24127/ajpm.v12i2.6739
- 16. Rodán, A., Gimeno, P., Elosúa, M. R., Montoro, P. R., & Contreras, M. J. (2019). Boys and girls gain in spatial, but not in mathematical ability after mental rotation training in primary education. Learning and Individual Differences, 70, 1-11. https://doi.org/10.1016/j.lindif.2019.01.001
- 17. Tam, Y. P., & Chan, W. W. L. (2022). The differential relations between sub-domains of spatial abilities and mathematical performance in children. Contemporary Educational Psychology, 71. https://doi.org/10.1016/j.cedpsych.2022.102101
- 18. Smart Media R&D Team (2017). Smart Solution to Conquer USM PKN STAN and PMB STIS. Sidoarjo: Smart Media
- 19. The National Academies Press. (2005). Learning to Think Spatially: GIS as a Support System in the K-12 Curriculum. In Learning to Think Spatially: GIS as a Support System in the K-12 Curriculum. National Academies Press. https://doi.org/10.17226/11019
- 20. Tikhomirova, T. (2017). Spatial Thinking and Memory in Russian High School Students with Different Levels of Mathematical Fluency. Procedia - Social and Behavioural Sciences, 237, 1260-1264. https://doi.org/10.1016/j.sbspro.2017.02.204
- 21. Uttal, D. H., & Cohen, C. A. (2012). Spatial Thinking and STEM Education. When, Why, and How? In Psychology of Learning and Motivation - Advances in Research and Theory (Vol. 57, pp. 147-181). https://doi.org/10.1016/B978-0-12-394293-7.00004-2
- 22. Verdine, B. N., Irwin, C. M., Golinkoff, R. M., & Hirsh-Pasek, K. (2014). Contributions of executive function and spatial skills to preschool mathematics achievement. Journal of Experimental Child Psychology, 126, 37-51. https://doi.org/10.1016/j.jecp.2014.02.012
- 23. Weckbacher, L. M., & Okamoto, Y. (2014). Mental rotation ability in relation to self-perceptions of high school geometry. Learning and Individual Differences, 30, 58-63. https://doi.org/10.1016/j.lindif.2013.10.007
- 24. Yu, M., Cui, J., Wang, L., Gao, X., Cui, Z., & Zhou, X. (2022). Spatial processing rather than logical reasoning was found to be critical for mathematical problem-solving. Learning and Individual Differences, 100. https://doi.org/10.1016/j.lindif.2022.102230