Assessing the Effectiveness of Computer-Aided Instructional Techniques in Enhancing Students’ 3D Geometry Spatial Visualization Skills Among Secondary School Students in Tanzania

Marcellina Andrea Mjenda, Vedaste Mutarutinya, Owiti Dickson

Abstract


Proficiency in spatial visualization plays a significant role in learning 3D geometry. Spatial visualization ability can be enhanced through the use of relevant teaching and learning techniques. The study aimed to investigate the impact of computer-aided instructional techniques on improving students' spatial visualization skills in learning 3D geometry, addressing the issue of low spatial visualization ability among students. The study followed a mixed research approach with a quasi-experimental design. Twenty mathematics teachers were purposively selected, and 267 Level-4 students from six ordinary-level secondary schools were purposively chosen for the study. Data were gathered using interviews, and pre- and post-tests of control and treatment groups through the use of computer simulation and animation of 3D figures in the treatment group, while the control group was taught using traditional methods. The Statistical Package for Social Sciences (SPSS) was used to compute descriptive and inferential statistics from quantitative data, while thematic analysis was applied to analyze qualitative data. The results from mathematics teachers’ interviews indicate that teachers put less emphasis on enhancing students’ spatial visualization abilities. Students from the treatment group outperformed the control groups on spatial visualization ability in terms of test scores. Additionally, an independent sample t-test revealed a statistically significant difference between the control and treatment groups in terms of spatial visualization ability. The computer-aided instructional approach is relevant in enhancing students’ spatial visualization abilities. To improve students' spatial visualization skills, the researchers propose in-service training for teachers to incorporate computer simulations and animations into the teaching and learning of 3D geometry.

https://doi.org/10.26803/ijlter.22.6.31


Keywords


3D figures; instructional techniques; mathematics teachers; simulation and animation; spatial-visualization

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References


Abdul Hanid, M. F., Mohamad Said, M. N. H., Yahaya, N., & Abdullah, Z. (2022). Effects of augmented reality application integration with computational thinking in geometry topics. Education and Information Technologies, 27, 1-37. https://doi.org/10.1007/s10639-022-10994-w

Battista, M. T. (1990). Spatial visualization and gender differences in high school geometry. Journal for research in mathematics education, 21(1), 47-60. https://doi.org/10.5951/jresematheduc.21.1.0047

Bellara, A. P., & Lototski, J. O. (2022). ASSESSMENT AS AN INSTRUCTIONAL STRATEGY. Teaching Learning for Effective Instruction, pp. 99-115. https://tinyurl.com/3eyxtvxn

Boakes, N. (2009). Origami instruction in the middle school mathematics classroom: Its impact on spatial visualization and geometry knowledge of students. RMLE Online, 32(7), 1-12. https://doi.org/10.1080/19404476.2009.11462060

Braun, V., & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative research in psychology, 3(2), 77-101. https://doi.org/10.1191/1478088706QP063OA

Cesaria, A. N. N. A., & Herman, T. A. T. A. N. G. (2019). Learning obstacle in geometry. Journal of Engineering Science and Technology, 14(3), 1271-1280. http://jestec.taylors.edu.my/Vol%2014%20issue%203%20June%202019/14_3_12.pdf

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

Chivai, C. H., & Mutuque, M. A. J. (2021). Simulations to develop 3D spatial ability: Geogebra in the teaching of descriptive geometry. ICERI2021 Proceedings (pp. 9808-9815). IATED. https://shorturl.at/imGHK

Creswell, J. W., Shope, R., Plano Clark, V. L., & Green, D. O. (2006). How interpretive qualitative research extends mixed methods research. Research in the Schools, 13(1), 1-11. https://doi.org/10.1177/1558689807306132

Davis, B., Okamoto, Y., & Whiteley, W. (2015). Spatializing school mathematics. In Spatial reasoning in the early years (pp. 149-160). Routledge. https://shorturl.at/qK579

Echeverría, L., Cobos, R., & Morales, M. (2019). Improving the students computational thinking skills with collaborative learning techniques. IEEE Revista Iberoamericana de Tecnologias del Aprendizaje, 14(4), 196-206. https://doi.org/10.1109/RITA.2019.2952299

Ferrini-Mundy, J. (2000). Principles and standards for school mathematics: A guide for mathematicians. Notices of the American Mathematical Society, 47(8), 868-876. https://www.ams.org/journals/notices/200008/comm-ferrini.pdf

Geer, E. A., Quinn, J. M., & Ganley, C. M. (2019). Relations between spatial skills and math performance in elementary school children: A longitudinal investigation. Developmental Psychology, 55(3), 637. https://doi.org/10.1037/dev0000649

Gilligan, K. A., Thomas, M. S., & Farran, E. K. (2020). First demonstration of effective spatial training for near transfer to spatial performance and far transfer to a range of mathematics skills at 8 years. Developmental Science, 23(4), e12909. https://doi.org/10.1111/desc.12909

Hardianti, D., Priatna, N., & Priatna, B. A. (2017, September). Analysis of Geometric Thinking Students’ and Process-Guided Inquiry Learning Model. In Journal of Physics: Conference Series. 895, p. 012088. IOP Publishing. https://doi.org/10.1088/1742-6596/895/1/012088

Hartshorne, R. (2013). Geometry: Euclid and beyond. Springer Science & Business Media. https://tinyurl.com/4ws8fnvf

Hawes, Z., Moss, J., Caswell, B., Naqvi, S., & MacKinnon, S. (2017). Enhancing children's spatial and numerical skills through a dynamic spatial approach to early geometry instruction: Effects of a 32-week intervention. Cognition and Instruction, 35(3), 2-29. https://doi.org/10.1080/07370008.2017.1323902

?bili, E., Çat, M., Resnyansky, D., ?ahin, S., & Billinghurst, M. (2020). An assessment of geometry teaching supported with augmented reality teaching materials to enhance students’ 3D geometry thinking skills. International Journal of Mathematical Education in Science and Technology, 51(2), 224-246. https://doi.org/10.1080/0020739X.2019.1583382

Idris, N. (2005). Spatial visualization and geometry achievement of form two students. Jurnal Pendidikan, 25, 29-40. https://tinyurl.com/37hvpztk

Jelatu, S., & Ardana, I. (2018). Effect of GeoGebra-Aided REACT Strategy on Understanding of Geometry Concepts. International Journal of Instruction, 11(4), 325-336. https://eric.ed.gov/?id=EJ1191656

Jones, P. J., Mair, P., & McNally, R. J. (2018). Visualizing psychological networks: A tutorial in R. Frontiers in Psychology, 9, 1742. https://doi.org/10.3389/fpsyg.2018.01742/full

Kitta, S. & Likinjie, M. (2020). What Are the Relevant Techniques for Assessing Mathematics in the Context of Competency-Based Curriculum? Turkish Journal of Teacher Education, 9(2), 120-133. https://doi.org//tujted.com/makale_indir/1946

Kyaruzi, F. (2023). Impact of gender on sources of students’ self-efficacy in Mathematics in Tanzanian secondary schools. International Journal of School & Educational Psychology, 11(1), 72-85. https://doi.org/10.1080/21683603.2021.1945512

LeBow, V., Bernhardt-Barry, M. L., & Datta, J. (2018, June). Improving spatial visualization abilities using 3D printed blocks. 2018 ASEE Annual Conference & Exposition. https://asee.org/improving-spatial-visualization-abilities-using-3d-printed-blocks

Liao, Y. T., Yu, C. H., & Wu, C. C. (2015). Learning geometry with augmented reality to enhance spatial ability. 2015 international conference on learning and teaching in computing and engineering (pp. 221-222). IEEE. https://doi.org/10.1109/LaTiCE.2015.40

Lin, C. H., & Chen, C. M. (2016). Developing spatial visualization and mental rotation with a digital puzzle game at primary school level. Computers in Human Behavior, 57, 23-30. https://doi.org/10.1016/j.chb.2015.12.026

Lin, C. H., Chen, C. M., & Lou, Y. C. (2014). Developing spatial orientation and spatial memory with a treasure hunting game. Journal of Educational Technology & Society, 17(3), 79-92. https://doi.org//www.jstor.org/stable/jeductechsoci.17.3.79

Lin, H. C. K., Chen, M. C., & Chang, C. K. (2015). Assessing the effectiveness of learning solid geometry by using an augmented reality-assisted learning system. Interactive Learning Environments, 23(6), 799-810. https://doi.org/10.1080/10494820.2013.817435

Linn, M. C., & Petersen, A. C. (1985). Emergence and characterization of sex differences in spatial ability: A meta-analysis. Child Development, 56(6), 1479-1498. https://doi.org/10.2307/1130467

Liu, F., Emerson, G., & Collier, N. (2023). Visual spatial reasoning. Transactions of the Association for Computational Linguistics, 11, 635-651. https://doi.org/10.1162/tacl_a_00566

Lowrie, T., Logan, T., & Hegarty, M. (2019). The influence of spatial visualization training on students’ spatial reasoning and mathematics performance. Journal of Cognition and Development, 20(5), 729-751. https://doi.org/10.1080/15248372.2019.1653298

Mamolo, L. (2019). Analysis of senior high school students' competency in general mathematics. Universal Journal of Educational Research,, 7(9), 1938-1944. https://doi.org/10.13189/ujer.2019.070913

Martín?Gutiérrez, J., Gil, F. A., Contero, M., & Saorín, J. L. (2013). Dynamic three?dimensional illustrator for teaching descriptive geometry and training visualisation skills. Computer Applications in Engineering Education, 21(1), 8-25. https://doi.org/10.1002/cae.20447

Mason, M. (2009). The van Hiele levels of geometric understanding. Coleccio?n Digital Eudoxus, 1(2), 4-8. https://tinyurl.com/bdef7f34

Mayer, R. E. (2005). Cognitive theory of multmedia learning. In The Cambridge handbook of multimedia learning (Vol. 2, pp. 31-48). https://shorturl.at/atyZ7

Mazana, M. Y., Montero, C. S., & Casmir, R. O. (2020). Assessing students’ performance in mathematics in Tanzania: the teacher’s perspective. International Electronic Journal of Mathematics Education, 15(3), em0589. https://doi.org/10.29333/iejme/7994

Miller, D. I., & Halpern, D. F. (2013). Can spatial training improve long-term outcomes for gifted STEM undergraduates? Learning and Individual Differences, 26, 141-152. https://doi.org/10.1016/j.lindif.2012.03.012

Ministry of Education and Vocational Training. (2005). Basic mathematics syllabus for ordinary secondary education. Dar es Salaam. https://www.tie.go.tz/uploads/files/Syllabus%20for%20Basic%20Mathematics%20O%20Level%20Form%20I-IV-23-1-2018.pdf

Mitolo, M., Gardini, S., Caffarra, P., Ronconi, L., Venneri, A., & Pazzaglia, F. (2015). Relationship between spatial ability, visuospatial working memory and self-assessed spatial orientation ability: a study in older adults. Cognitive Processing, 16, 165-176. https://doi.org/10.1007/s10339-015-0647-3

Nathan, D., Holden, E. J., Wedge, D., & Zelic, M. (2022). Three-dimensional Fold Geometry and Folding: Deformation Scale and Spectral Curvature Computational Methods. Perth: University of Western Australia. https://tinyurl.com/5fftadad

National Examination Council of Tanzania. (2017). Candidates’ response analysis report for form four national examination: Mathematics, National Examination Council of Tanzania. https://onlinesys.necta.go.tz/cira/csee/2017/041_BASIC_MATHEMATICS.pdf

National Examination Council of Tanzania. (2018). Candidates’ response analysis report for form four national examination: Mathematics. National Examination Council of Tanzania. https://onlinesys.necta.go.tz/cira/csee/2018/041_BASIC_MATHS.pdf

National Examination Council of Tanzania. (2019). Candidates’ response analysis report for form four national examination: Mathematics. National Examination Council of Tanzania. https://onlinesys.necta.go.tz/cira/csee/2019/041_BASIC_MATHEMATICS.pdf

National Examination Council of Tanzania. (2020). Candidates’ response analysis report for form four national examination: Mathematics. National Examination Council of Tanzania. https://onlinesys.necta.go.tz/cira/csee/2020/041_BASIC_MATHEMATICS.pdf

National Examination Council of Tanzania. (2021). Candidates’ response analysis report for form four national examination: Mathematics. National Examination Council of Tanzania. https://onlinesys.necta.go.tz/cira/csee/2021/041_BASIC_MATHEMATICS.pdf

Newcombe, N. S. (2010). Picture this: Increasing math and science learning by improving spatial thinking. American Educator, 34(2), 29-43. Retrieved from https://eric.ed.gov/?id=EJ889152

Newton, P., & Bristoll, H. (2009). Spatial ability practice test 1. Psychometric Success. Psychometric%20Success%20Spatial%20Ability%20-%20Practice%20Test%201.pdf

Park, J., Kim, D. E., & Sohn, M. (2011). 3D simulation technology as an effective instructional tool for enhancing spatial visualization skills in apparel design. International Journal of Technology and Design Education, 21(4), 505-517. https://doi.org/10.1007/s10798-010-9127-3

Patkin, D., & Dayan, E. (2013). The intelligence of observation: improving high school students’ spatial ability by means of intervention unit. International Journal of Mathematical Education in Science and Technology, 44(2), 179-195. https://doi.org/10.1080/0020739X.2012.703335

Pepin, B., Gueudet, G., & Trouche, L. (2017). Refining teacher design capacity: Mathematics teachers’ interactions with digital curriculum resources. ZDM, 49, 799-812. https://doi.org/10.1007/s11858-017-0870-8

Pittalis, M., & Christou, C. (2010). Types of reasoning in 3D geometry thinking and their relation with spatial ability. Educational Studies in Mathematics, 191-212. https://doi.org/10.1007/s10649-010-9251-8

Quintero, E., Salinas, P., González-Mendívil, E., & Ramírez, H. (2015). Augmented reality app for calculus: A proposal for the development of spatial visualization. Procedia Computer Science, 75, 301-305. https://doi.org/10.1016/j.procs.2015.12.251

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

Revina, S., & Leung, F. K. S. (2018). Educational borrowing and mathematics curriculum: Realistic Mathematics Education in the Dutch and Indonesian primary curriculum. International Journal on Emerging Mathematics Education., 2(1), 1-16. https://doi.org/10.12928/ijeme.v2i1.8025

Risma, D. A., Putri, R. I. I., & Hartono, Y. (2013). On Developing Students' Spatial Visualisation Ability. International Education Studies, 6(9), 1-12. https://doi.org/10.5539/ies.v6n9p1

Sarkar, P., Kadam, K., & Pillai, J. S. (2020). Learners' approaches, motivation and patterns of problem-solving on lines and angles in geometry using augmented reality. Smart Learning Environments, 7(1), 1-23. https://doi.org/10.1186/s40561-020-00124-9

Saxena, S. (. (2015). Geometry and Trigonometry. Britannica Educational Publishing. https://worldcat.org/title/1042164904

Sedivy, J., & Hubalovsky, S. (2012). Mathematical foundations and principles in practice of computer-aided design simulation. International Journal of Mathematics and Computers in Simulation, 6(1), 230-237. https://tinyurl.com/482sm3ze

Sorby, S. A. (1999). Developing 3-D spatial visualization skills. The Engineering Design Graphics Journal, 63(2), 21-32. http://www.edgj.org/index.php/EDGJ/article/view/126

Sorby, S. A., & Veurink, N. (2019). Preparing for STEM: Impact of spatial visualization training on middle school math performance. Journal of Women and Minorities in Science and Engineering, 25(1), 1-23. https://doi.org/10.1615/JWomenMinorScienEng.2018024516

Stieff, M., & Uttal, D. (2015). How much can spatial training improve STEM achievement? Educational Psychology Review, 27, 607-615. https://doi.org/10.1007/s10648-015-9304-

Susilawati, W., Suryadi, D., & Dahlan, J. A. (2017). The improvement of mathematical spatial visualization ability of student through cognitive conflict. International Electronic Journal of Mathematics Education, 12(2), 155-166. https://tinyurl.com/y3h7knuu

Trimurtini, T., Waluya, S. B., Walid, W., Dwidayati, N. K., & Kharisudin, I. (2021). Measuring Spatial Ability and Geometric Thinking Level of Prospective Elementary School Teachers Using the Rasch Model. Ilkogretim Online, 20(1), 948-957. https://doi.org/10.17051/ilkonline.2021.01.91

Unal, H. J. (2009). Differences in learning geometry among high and low spatial ability pre-service mathematics teachers. International Journal of Mathematical Education in Science and Technology, 40(8), 997-1012. https://doi.org/10.1080/00207390902912852

Valstar, S., Griswold, W. G., & Porter, L. (2019, February). The relationship between prerequisite proficiency and student performance in an upper-division computing course. 50th ACM Technical Symposium on Computer Science Education, (pp. 794-800). https://doi.org/10.1145/3287324.3287419

Vojkuvkova, I. (2012). The van Hiele model of geometric thinking. WDS’12 Proceedings of Contributed Papers, 1, 72-75. https://www.mff.cuni.cz/veda/konference/wds/proc/pdf12/WDS12_112_m8_Vojkuvkova.pdf

Whiteley, W., Sinclair, N., & Davis, B. (2015). What is spatial reasoning? In Spatial reasoning in the early years (pp. 3-14). Routledge. https://tinyurl.com/2956kp2y

William, F., & Kitta, S. (2021). Impact of Digital Content on Mathematics Teachers’ Pedagogical Change: Experiences from Retooling of Secondary School Mathematics Teachers in Tanzania. Papers in Education and Development, 38(2), 152-177. http://www.journals.udsm.ac.tz/index.php/ped/article/view/4340/3833

Xie, F., Zhang, L., Chen, X., & Xin, Z. (2020). Is spatial ability related to mathematical ability: A meta-analysis. Educational Psychology Review, 32, 113-155. https://doi.org/10.1007/s10648-019-09496-y


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