Developing a STEM-Based Learning Module to Improve Problem-Solving Skills on Spatial Distance Topics



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© 2026 Suprianto Suprianto, Sudi Prayitno, Karim Karim, Ahmad Fauzi

Students often struggle with the abstract nature of spatial distance in three-dimensional geometry, which can lead to low problem-solving skills. This study aimed to develop a valid, practical, and effective STEM-based learning module on spatial distance to enhance senior high school students' problem-solving skills. Employing a Design Research methodology with the Development Study model by Plomp and Nieveen (2013), this research was conducted at SMA Negeri 4 Sidoarjo, Indonesia, involving 32 Grade XII students selected through purposive sampling. Data were collected using expert validation sheets, student response questionnaires, classroom observation sheets, and problem-solving tests administered as pre-test and post-test. The module demonstrated high validity with an average expert validation score of 92.5% (very valid category). Practicality was confirmed through smooth classroom implementation (95.8% observed implementation rate) and positive student responses, with 94% of students rating the module as engaging and easy to follow. Effectiveness was evidenced by a significant improvement in students’ problem-solving scores (pre-test mean = 42.5; post-test mean = 80.3), with a medium N-Gain of 0.66 (t = 12.754; p < 0.05). The highest gain was observed in the “understanding the problem” stage (N-Gain = 0.72), attributed to the hands-on engineering design project. This study concludes that the STEM-based module is a valid, practical, and effective tool for improving problem-solving skills in spatial geometry. It is recommended that mathematics teachers adopt this module to make learning more contextual and meaningful.

 

Keywords: STEM-Based learning, learning module, problem-solving skills, spatial distance, design research.

Afriyani, D., Sa’dijah, C., Subanji, S., & Muksar, M. (2018). Characteristics of students’ mathematical understanding in solving multiple representation tasks based on solo taxonomy. Journal on Mathematics Education, 9(1), 45–58. https://doi.org/10.22342/jme.9.1.5007.45-58

Aguirre, J. M., & García, A. P. (2024). STEM project based learning and its impact on mathematical problem solving skills: A quasi experimental study. International Journal of Science and Mathematics Education, 22(4), 567–585. https://doi.org/10.1007/s10763-024-10456-8

Battista, M. T. (2007). The development of geometric and spatial thinking. In Second handbook of research on mathematics teaching and learning (pp. 843–908). Information Age Publishing.

Becker, K., & Park, K. (2011). Effects of integrative approaches among science, technology, engineering, and mathematics (STEM) subjects on students’ learning: A meta analysis. Journal of STEM Education: Innovations and Research, 12(5&6), 23–37.

Bruner, J. S. (1966). Toward a theory of instruction. Harvard University Press.

Bybee, R. W. (2013). The case for STEM education: Challenges and opportunities. NSTA Press.

Çakıroğlu, Ü., & Aydın, M. (2021). The effectiveness of STEM supported problem based learning on academic achievement in geometry. Education and Information Technologies, 26(5), 5801–5823. https://doi.org/10.1007/s10639-021-10551-5

Çevik, M. (2021). The effect of STEM education integrated into teaching learning approaches (SDM and HBL) on computational thinking and spatial visualization skills. Education and Information Technologies, 26(4), 4863–4895. https://doi.org/10.1007/s10639-021-10503-5

Chang, H. Y., & Lin, T. J. (2019). Enhancing students’ geometry problem solving skills through a mobile game based learning approach: A case study. Journal of Computer Assisted Learning, 35(4), 504–516. https://doi.org/10.1111/jcal.12355

Clark, S. R., & Peterson, L. M. (2023). The role of physical manipulatives in enhancing spatial visualization in geometry classrooms. Educational Studies in Mathematics, 113(2), 245–262. https://doi.org/10.1007/s10649-023-10245-8

Demirel, M., & Usta, E. (2024). Effectiveness of STEM based learning modules on academic achievement in 3D geometry. Journal of Science Education and Technology, 33(1), 78–92. https://doi.org/10.1007/s10956-024-10095-2

Ercan, G., & Uyanık, G. (2022). Spatial thinking and geometry learning in secondary education: A systematic review. Thinking Skills and Creativity, 45, 101115. https://doi.org/10.1016/j.tsc.2022.101115

Ferdian, R., & Kusumah, Y. S. (2023). Developing a valid and practical STEM module for enhancing students’ cognitive engagement in mathematics. Journal on Mathematics Education, 14(2), 211–228. https://doi.org/10.22342/jme.v14i2.pp211-228

Gusmania, T., & Fitriani, N. (2024). The effect of hands on engineering activities on students’ conceptual understanding of distance in space. International Journal of Mathematical Education in Science and Technology, 55(4), 910–928. https://doi.org/10.1080/0020739X.2024.2315462

Hake, R. R. (1999). Analyzing change/gain scores. Retrieved from http://www.physics.indiana.edu/~sdi/AnalyzingChange-Gain.pdf

Han, S., Capraro, R., & Capraro, M. M. (2015). How science, technology, engineering, and mathematics (STEM) project based learning (PBL) affects high, middle, and low achievers differently: The impact of student factors on achievement. International Journal of Science and Mathematics Education, 13(5), 1089–1113. https://doi.org/10.1007/s10763-014-9526-0

Hidayat, R., & Iksan, Z. H. (2021). The effect of STEM education on students’ mathematics problem solving ability: A meta analysis. Journal of Physics: Conference Series, 1882(1), 012076. https://doi.org/10.1088/1742-6596/1882/1/012076

Hwang, W. Y., & Hu, S. S. (2013). Analysis of peer learning behaviors using multiple representations in virtual reality and their impacts on geometry problem solving. Computers & Education, 62, 308–319. https://doi.org/10.1016/j.compedu.2012.10.005

Iskandar, A., & Purwanto, H. (2025). STEM based learning: Bridging the gap between concrete manipulation and abstract geometry. Educational Technology & Society, 28(1), 120–135. https://doi.org/10.30191/ETS.202501_28(1).0010

Jupri, A., & Drijvers, P. (2016). Student difficulties in solving geometry problems. Journal on Mathematics Education, 7(1), 39–52. https://doi.org/10.22342/jme.7.1.2815.39-52

Kelley, T. R., & Knowles, J. G. (2016). A conceptual framework for integrated STEM education. International Journal of STEM Education, 3(1), 11. https://doi.org/10.1186/s40594-016-0046-z

Kholid, M. N., Sa’dijah, C., Hidayanto, E., & Permadi, H. (2020). How are students’ reflective thinking for problem solving? Journal for the Education of Gifted Young Scientists, 8(3), 1135–1146. https://doi.org/10.17478/jegys.688210

Kurniawan, H., Putri, R. I. I., & Hartono, Y. (2018). Developing spatial reasoning activities within geometry learning. Journal on Mathematics Education, 9(3), 491–501. https://doi.org/10.22342/jme.9.3.5002.491-502

Mahendra, R., Rahayu, W., & Hidayat, A. (2023). The impact of a STEM based digital module on students’ conceptual understanding and spatial ability in geometry. Journal of Science Learning, 6(2), 189–199. https://doi.org/10.17509/jsl.v6i2.52145

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. NCTM.

Nieveen, N., & Folmer, E. (2013). Formative evaluation in educational design research. In T. Plomp & N. Nieveen (Eds.), Educational Design Research (pp. 152–169). SLO.

Novita, R., & Herman, T. (2021). The effect of problem based learning on mathematical problem solving ability: A meta analysis study. Journal of Physics: Conference Series, 1882(1), 012060. https://doi.org/10.1088/1742-6596/1882/1/012060

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/s10649-010-9252-6

Plomp, T. (2013). Educational design research: An introduction. In T. Plomp & N. Nieveen (Eds.), Educational Design Research (pp. 10–51). SLO.

Polya, G. (1957). How to solve it (2nd ed.). Princeton University Press.

Prabowo, A., & Suryadi, D. (2020). The use of STEM project based learning for teaching geometry in improving students’ spatial ability. Journal of Physics: Conference Series, 1521(3), 032017. https://doi.org/10.1088/1742-6596/1521/3/032017

Prastowo, A. (2015). Panduan kreatif membuat bahan ajar inovatif. Diva Press.

Purnama, I. L., & Hwang, W. Y. (2020). Developing a video based e book for teaching 3D geometry to improve students’ spatial ability. Journal of Computers in Education, 7(3), 335–355. https://doi.org/10.1007/s40692-020-00159-4

Sari, Y. M., & Valentino, E. (2016). An analysis of students’ error in solving spatial geometry problems based on the cognitive style. Journal on Mathematics Education, 7(2), 119–130. https://doi.org/10.22342/jme.7.2.9532.119-130

Stohlmann, M., Moore, T. J., & Roehrig, G. H. (2012). Considerations for teaching integrated STEM education. Journal of Pre College Engineering Education Research (J PEER), 2(1), Article 4. https://doi.org/10.5703/1288284314653

Umam, K., Nusantara, T., Parta, I. N., Hidayanto, E., & Mulyono, M. (2022). An exploratory study of students’ errors in solving spatial geometry problems. Journal on Mathematics Education, 13(1), 89–104. https://doi.org/10.22342/jme.v13i1.pp89-104

Wilson, M. (2002). Six views of embodied cognition. Psychonomic Bulletin & Review, 9(4), 625–636. https://doi.org/10.3758/BF03196322

1. Plagiasi check of article
2. SUPPLEMENTARY FILE 1 EXPERT VALIDATION SHEET
3. SUPPLEMENTARY FILE 2 STUDENT RESPONSE QUESTIONNAIRE
4. SUPPLEMENTARY FILE 3 OBSERVATION SHEET
5. SUPPLEMENTARY FILE 4 PROBLEM-SOLVING TEST ITEMS
6. RAW DATA
7. SPSS OUTPUTS FOR STATISTICAL ANALYSIS
8. DECLARATION LETTER
TABEL RESUME PERBAIKAN ARTIKEL 100726.docx

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