Analysis of Spatial Reasoning Skills Using Newman’s Error Framework

Authors

  • Dharell T. Gonzaga College of Teacher Education, University of Mindanao, Philippines
  • Rafael Jr. M. Zurita College of Teacher Education, University of Mindanao, Philippines
  • Loie Emmanuel B. Estoesta College of Teacher Education, University of Mindanao, Philippines
  • Arnie Boy O. Guitguit College of Teacher Education, University of Mindanao, Philippines

DOI:

https://doi.org/10.54536/ajmri.v5i1.5846

Keywords:

BSEd-Mathematics Students, Davao City, Engineering Students, Mixed-Methods, Newman’s Error Analysis, Spatial Reasoning Skills

Abstract

Spatial reasoning is essential for STEM success and mathematical problem-solving. The lack of spatial reasoning skills among many college students impacts their academic performance, particularly in subjects that require it. The study assesses the level of spatial reasoning skills among college students, compares STEM and non-STEM completers, and investigates the difficulties they encounter in answering spatial reasoning tests to understand the reasons behind their struggles. Furthermore, it seeks to recommend strategies aligned with SDG 4: Quality Education to enhance students’ spatial skills. A mixed-method approach was used and a spatial reasoning test was employed. Using the overall mean and standard deviation, it was revealed that the spatial skills of college students were above an intermediate score, with significant variation in spatial perception, visualization, and mental rotation. Based on the Mann-Whitney U test result, STEM completers outperformed non-STEM completers due to exposure to spatially demanding subjects. Moreover, with the help of Newman’s Error Analysis framework, the study found that students struggle to comprehend or understand the wording of questions, which aligns with the PISA 2022 results for the Philippines. The study highlights the significance of spatial reasoning in academic achievement, suggesting that students can improve their skills by utilizing interactive tools and simplified problem-solving language.

Downloads

Download data is not yet available.

References

Atit, K., Uttal, D. H., & Stieff, M. (2020). Situating space: Using a discipline-focused lens to examine spatial thinking skills. Cognitive Research Principles and Implications, 5(1). https://doi.org/10.1186/s41235-020-00210-z

Bates, K. E., Williams, A. Y., Gilligan-Lee, K. A., Gripton, C., Lancaster, A., Williams, H., Borthwick, A., Gifford, S., & Farran, E. K. (2023). Practitioners’ perspectives on spatial reasoning in educational practice from birth to 7 years. British Journal of Educational Psychology, 93(2), 571-590. https://doi.org/10.1111/bjep.12579

Casasola, M., Wei, W. S., Suh, D. D., Donskoy, P., & Ransom, A. (2020). Children’s exposure to spatial language promotes their spatial thinking. Journal of Experimental Psychology General, 149(6), 1116-1136. https://doi.org/10.1037/xge0000699

Cha, S. H., Koo, C., Kim, T. W., & Hong, T. (2019). Spatial perception of ceiling height and type variation in immersive virtual environments. Building and Environment, 163, 106285. https://doi.org/10.1016/j.buildenv.2019.106285

Dulalas, T. M. B., Deguiñon, J. P., Famor, K. V. C., Osma, H. J. C., Puda, L. J. Y., & Batiancila, M. J. Q. (2025). A comparative study of emotional intelligence in full-time and part-time students of Filipino college students. American Journal of Human Psychology, 3(1), 7–13. https://doi.org/10.54536/ajhp.v3i1.4178

Farran, E. K., McCarthy, S., Gilligan-Lee, K. A., Bates, K. E., & Gripton, C. (2024). Translating research to practice: Practitioner use of the Spatial Reasoning Toolkit. Gifted Child Today, 47(3), 202-215. https://doi.org/10.1177/10762175241242494

Free spatial reasoning test, practice your spatial awareness. (2023). Spatial reasoning test. 123test.com. https://www.123test.com/spatial-reasoning-test/

Gardner, H. (2004). Audiences for the Theory of Multiple Intelligences. Teachers College Record the Voice of Scholarship in Education, 106(1), 212-220. https://doi.org/10.1111/j.1467-9620.2004.00329.x

Gilligan-Lee, K. A., Hawes, Z. C. K., & Mix, K. S. (2022). Spatial thinking as the missing piece in mathematics curricula. Npj Science of Learning, 7(1), 1-4. https://doi.org/10.1038/s41539-022-00128-9

Harris, D. (2023). Spatial reasoning in context: Bridging cognitive and educational perspectives of spatial-mathematics relations. Frontiers in Education, 8, 1-12. https://doi.org/10.3389/feduc.2023.1302099

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, 91(1), 409-441. https://doi.org/10.1111/bjep.12371

Hasanah, U., Putrawangsa, S., Purwanta, E., Setiawati, F. A., & Purnomo, Y. W. (2024). Primary Student Spatial Reasoning Abilities: Progression and challenges. Jurnal Pendidikan Matematika, 18(3), 329-348. https://doi.org/10.22342/jpm.v18i3.pp329-348

Herrera, L. M. M., Ordóñez, S. J., & Ruiz-Loza, S. (2024). Enhancing mathematical education with spatial visualization tools. Frontiers in Education, 9, 1229126. https://doi.org/10.3389/feduc.2024.1229126

Hertanti, A., Retnawati, H., & Wutsqa, D. U. (2019). The role of spatial experience in mental rotation. Journal of Physics Conference Series, 1320(1), 012043. https://doi.org/10.1088/1742-6596/1320/1/012043

Izah, S. C., Sylva, L., & Hait, M. (2023). Cronbach’s Alpha: A cornerstone in ensuring reliability and validity in environmental health assessment. ES Energy & Environments, 23. https://doi.org/10.30919/esee1057

JobTestPrep. (2023). Spatial reasoning test practice test: Questions, answers, time-saving tips. Job Test Prep. https://www.jobtestprep.co.uk/spatial-reasoning-practice-test

Johnson, S. P. & Moore, D. S. (2020). Spatial thinking in infancy: Origins and development of mental rotation between 3 and 10 months of age. Cognitive Research Principles and Implications, 5(1). https://doi.org/10.1186/s41235-020-00212-x

Kurt, G., Önel, F., & Çakıoğlu, Ö. (2023). An investigation of middle school students' spatial reasoning skills. International Electronic Journal of Elementary Education, 16(1), 123-141. https://doi.org/10.26822/iejee.2023.319

Lakin, J. M. & Wai, J. (2020). Spatially gifted, academically inconvenienced: Spatially talented students experience less academic engagement and more behavioral issues than other talented students. British Journal of Educational Psychology, 90(4), 1015-1038. https://doi.org/10.1111/bjep.12343

Lauer, J. E., Yhang, E., & Lourenco, S. F. (2019). The development of gender differences in spatial reasoning: A meta-analytic review. Psychological Bulletin, 145(6), 537-565. https://doi.org/10.1037/bul0000191

Lee, Y., Capraro, R. M., & Bicer, A. (2019). Gender difference on spatial visualization by college students’ major types as STEM and non-STEM: A meta-analysis. International Journal of Mathematical Education in Science and Technology, 50(8), 1241-1255. https://doi.org/10.1080/0020739x.2019.1640

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

Margulieux, L. E. (2020). Spatial encoding strategy theory: The relationship between spatial skill and STEM achievement. ACM Inroads, 11(1), 65-75. https://doi.org/10.1145/3381891

Ma’rifatin, S., Amin, S. M., & Siswono, T. Y. E. (2019). Students’ mathematical ability and spatial reasoning in solving geometric problems. Journal of Physics Conference Series, 1157(4), 042062. https://doi.org/10.1088/1742-6596/1157/4/042062

Moè, A. (2021). Doubling mental rotation scores in high school students: Effects of motivational and strategic trainings. Learning and Instruction, 74, 101461. https://doi.org/10.1016/j.learninstruc.2021.101461

Moen, K. C., Beck, M. R., Saltzmann, S. M., Cowan, T. M., Burleigh, L. M., Butler, L. G., Ramanujam, J., Cohen, A. S., & Greening, S. G. (2020). Strengthening spatial reasoning: Elucidating the attentional and neural mechanisms associated with mental rotation skill development. Cognitive Research Principles and Implications, 5(1). https://doi.org/10.1186/s41235-020-00211-y

Newman, M. A. (1977). An analysis of sixth-grade pupils’ error on written mathematical tasks. Journal Victorian Institute for Education Research Bulletin, 39, 31-43.

OECD. (2023), PISA 2022 Results (Volume I): The state of learning and equity in education, PISA. OECD Publishing, Paris, https://doi.org/10.1787/53f23881-en.

Parisi, P. (2024). Analysis of spatial perception. Springer, 61-84. https://doi.org/10.1007/978-3-031-67860-8_5

PUP Association of DOST Scholars TUPM DOST Scholars’ Club (2024). JLSS Examination Volunteer Initiative National Mock Examination Questionnaire, 1-30. https://tinyurl.com/3z4hpjbu

Putri, R. O. E. (2020). A study on the junior high school students’ spatial ability and mathematics problem-solving in Mojokerto. People International Journal of Social Sciences, 6(1), 775-783. https://doi.org/10.20319/pijss.2020.61.775783

Ramey, K. E., Stevens, R., & Uttal, D. H. (2020). In-FUSE-ing STEAM learning with spatial reasoning: Distributed spatial sensemaking in school-based making activities. Journal of Educational Psychology, 112(3), 466-493. https://doi.org/10.1037/edu0000422

Ramful, A., Lowrie, T., & Logan, T. (2016). 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

Roach, V. A., Mi, M., Mussell, J., Van Nuland, S. E., Lufler, R. S., DeVeau, K. M., Dunham, S. M., Husmann, P., Herriott, H. L., Edwards, D. N., Doubleday, A. F., Wilson, B. M., & Wilson, A. B. (2020). Correlating spatial ability with anatomy assessment performance: A Meta-Analysis. Anatomical Sciences Education, 14(3), 317-329. https://doi.org/10.1002/ase.2029

Ryser, G. R. (2021). Qualitative and quantitative approaches to assessment. Routledge eBooks, 33-57. https://doi.org/10.4324/9781003235682-2

Septia, T., Yuwono, I., Parta, I. N., & Susanto, H. (2019). Spatial reasoning ability of mathematics college students. Journal of Physics Conference Series, 1188, 012102. https://doi.org/10.1088/1742-6596/1188/1/012102

Sharma, L. R., Bidari, S., Bidari, D., Neupane, S., & Sapkota, R. (2023). Exploring the mixed methods research design: Types, purposes, strengths, challenges, and criticisms. Global Academic Journal of Linguistics and Literature, 5(1), 3-12. https://doi.org/10.36348/gajll.2023.v05i01.002

Sisman, B., Kucuk, S., & Yaman, Y. (2020). The effects of robotics training on children’s spatial ability and attitude toward STEM. International Journal of Social Robotics, 13(2), 379-389. https://doi.org/10.1007/s12369-020-00646-9

Slattery, E. J., Butler, D., Marshall, K., Barrett, M., Hyland, N., O’Leary, M., & McAvinue, L. P. (2024). Effectiveness of a Minecraft education intervention for improving spatial thinking in primary school children: A mixed methods two-level cluster randomized trial. Learning and Instruction, 94, 102003. https://doi.org/10.1016/j.learninstruc.2024.102003

Supli, A. A. & Yan, X. (2023). Exploring the effectiveness of augmented reality in enhancing spatial reasoning skills: A study on mental rotation, spatial orientation, and spatial visualization in primary school students. Education and Information Technologies, 29(1), 351-374. https://doi.org/10.1007/s10639-023-12255-w

Sweller, J. (1988). Cognitive load during problem-solving: Effects on learning. Cognitive Science, 12(2), 257-285. https://doi.org/10.1016/0364- 0213(88)90023-7

Velasco, S. B., & Villanueva, J. S. (2022). Development and validation of a reading comprehension scale. American Journal of Education and Technology, 1(1), 10–17. https://doi.org/10.54536/ajet.v1i1.327

Yang, W., Liu, H., Chen, N., Xu, P., & Lin, X. (2020). Is early spatial skills training effective? A Meta-Analysis. Frontiers in Psychology, 11. https://doi.org/10.3389/fpsyg.2020.0193

Downloads

Published

2026-01-19

How to Cite

Gonzaga, D. T. ., Zurita, R. J. M. ., Estoesta, L. E. B. ., & Guitguit, A. B. O. . (2026). Analysis of Spatial Reasoning Skills Using Newman’s Error Framework. American Journal of Multidisciplinary Research and Innovation , 5(1), 9-17. https://doi.org/10.54536/ajmri.v5i1.5846

Similar Articles

11-20 of 212

You may also start an advanced similarity search for this article.