Contextual-STEM-Based E-Module Development in Enhancing Junior High School Students’ Mathematical Reasoning Abilities
 ),   						Arvin Efriani(2),   						Wella Cintania(3),   						Komarudin Komarudin(4)     
  
             |
),   						Arvin Efriani(2),   						Wella Cintania(3),   						Komarudin Komarudin(4)     
  
             |  Country:
Country: 
                        
                              
                              
                              
            
   
(1) Department of Mathematics Education, Universitas Islam Negeri Raden Fatah Palembang, Indonesia
(2) Department of Mathematics Education, Universitas Islam Negeri Raden Fatah Palembang, Indonesia
(3) Department of Mathematics Education, Universitas Islam Negeri Raden Fatah Palembang, Indonesia
(4) Department of Mathematics Education, Universitas Islam Negeri Raden Fatah Palembang, Indonesia
 Corresponding Author
Corresponding AuthorThe disconnect between mathematics content and real-world applications creates significant challenges for students' understanding of fraction operations, resulting in procedural learning without conceptual depth. This study develops and evaluates a STEM-based e-module integrating authentic contexts with systematic instructional design to enhance junior high school students' mathematical reasoning abilities. The research employed the ADDIE development model to create a STEM-based e-module on fraction operations using snack nutritional values as context. The Engineering Design Process (EDP) served as the central pedagogical framework, structuring activities through seven systematic stages: Define, Research, Plan, Create, Communicate, Redesign, and Evaluate, transforming abstract mathematical concepts into meaningful problem-solving experiences. Three experts validated the e-module across five dimensions: content feasibility, presentation quality, language appropriateness, practicality, and STEM integration. Practicality testing involved progressive trials: one-to-one (3 students), small group (6 students), and field implementation (30 students). Mathematical reasoning effectiveness was measured using contextual problem-solving assessments evaluating five indicators: conjecturing, pattern identification, mathematical manipulation, justification provision, and conclusion drawing. Validation results demonstrated exceptional quality, with the e-module achieving a 95.2% overall validity index. Practicality testing revealed an average satisfaction of 90.28%, categorized as "very practical." Students demonstrated substantial improvement in mathematical reasoning, with an average final assessment score of 77.68. Students performed strongest in drawing conclusions (87%) and providing justification (81.67%), while conjecturing achieved a rate of 64%. Qualitative analysis revealed that while high-ability students employed formal reasoning and symbolic representation, some medium-ability students relied more on narrative responses, reflecting a gap between intuitive understanding and formal expression. The study concludes that the developed e-module is valid, practical, and effective in fostering students' mathematical reasoning. Integrating EDP into STEM-based e-modules provides a promising pathway to bridge procedural knowledge and conceptual depth, promoting meaningful and transferable learning experiences.
Keywords: contextual learning, engineering design, fractions context, mathematical reasoning, STEM e-module.
Abd‐El‐Khalick, F., Summers, R., Brunner, J. L., Belarmino, J., & Myers, J. (2024). Development of VAScoR: A rubric to qualify and score responses to the views of nature of science (VNOS) questionnaire. Journal of Research in Science Teaching, 61(7), 1641–1688. https://doi.org/10.1002/tea.21916
deoye, M. A., Wirawan, K. A. S. I., Pradnyani, M. S. S., & Septiarini, N. I. (2024). Revolutionizing education: Unleashing the power of the ADDIE model for effective teaching and learning. JPI (Jurnal Pendidikan Indonesia, 13(1), 202–209. https://doi.org/10.23887/jpiundiksha.v13i1.68624
Amalina, I. K., & Vidákovich, T. (2022). An integrated STEM-based mathematical problem-solving test: Developing and reporting psychometric evidence. Journal on Mathematics Education, 13(4), 587–604. https://doi.org/10.22342/jme.v13i4.pp587-604
Amirzadeh, S., Rasouli, D., & Dargahi, H. (2024). Assessment of validity and reliability of the feedback quality instrument. BMC Research Notes, 17(1), 227. https://doi.org/10.1186/s13104-024-06881-x
Antunes, R., Aguiar, M. L., & Gaspar, P. D. (2023). A Dynamic STEM-Driven approach through mobile robotics to enhance critical thinking and interdisciplinary skills for empowering industry 4.0 competencies. Technologies, 11(6), 170. https://doi.org/10.3390/technologies11060170
Armutcu, Y., & Bal, A. (2023). The effect of mathematical modelling activities on students’ mathematical modelling skills in the context of STEM education. International Journal of Contemporary Educational Research, 10(1), 42–55. https://doi.org/10.33200/ijcer.1131928
Atmojo, S. E., Lukitoaji, B. D., Rahmawati, R. D., Anggriani, M. D., & Anindya, A. P. (2025). Effects of hybrid STEM learning on 21st-century skills and character Development in Prospective Elementary Teachers: A Mixed-Methods Study from Indonesia. Qubahan Academic Journal, 5(2), 384–401. https://doi.org/10.48161/qaj.v5n2a1716
Badaruddin, A., Budi, A. S., & Sumantri, M. S. (2024). The effectiveness of science encyclopedia-assisted project-based learning integrated with the STEM approach in enhancing pre-service elementary teachers’ scientific literacy. Journal of Education and E-Learning Research, 11(3), 597–605. https://doi.org/10.20448/jeelr.v11i3.5928
Barbosa, A., Vale, I., Jablonski, S., & Ludwig, M. (2022). Walking through algebraic thinking with theme-based (mobile) math trails. Education Sciences, 12(5), 346. https://doi.org/10.3390/educsci12050346
Behnamnia, N., Kamsin, A., Ismail, M. A. B., & Hayati, S. A. (2025). Relationship between creative thinking and outcomes in a digital STEM-based learning environment: A mixed methods case study. Thinking Skills and Creativity, 57, 101816. https://doi.org/10.1016/j.tsc.2025.101816
Bertrand, M. G., & Namukasa, I. K. (2023). A pedagogical model for STEAM education. Journal of Research in Innovative Teaching & Learning, 16(2), 169–191. https://doi.org/10.1108/JRIT-12-2021-0081
Beswick, K., & Fraser, S. (2019). Developing mathematics teachers’ 21st century competence for teaching in STEM contexts. ZDM, 51(6), 955–965. https://doi.org/10.1007/s11858-019-01084-2
Boltsi, A., Kalovrektis, K., Xenakis, A., Chatzimisios, P., & Chaikalis, C. (2024). Digital Tools, Technologies, and Learning Methodologies for Education 4.0 Frameworks: A STEM-Oriented Survey. IEEE Access, 12, 12883–12901. https://doi.org/10.1109/ACCESS.2024.3355282
Boone, H. N., & Boone, D. A. (2012). Analyzing likert data. Journal of Extension, 50(2). https://doi.org/10.34068/joe.50.02.48
Branch, R. M. (2009). Instructional Design: The ADDIE approach. Boston, MA: Springer US. https://doi.org/10.1007/978-0-387-09506-6
Braun, V., & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2), 77–101. https://doi.org/10.1191/1478088706qp063oa
Chang, D., Hwang, G. J., Chang, S. C., & Wang, S. Y. (2021). Promoting students’ cross-disciplinary performance and higher order thinking: A peer assessment-facilitated STEM approach in a mathematics course. Educational Technology Research and Development, 69(6), 3281–3306. https://doi.org/10.1007/s11423-021-10062-z
Clark, R. C., & Mayer, R. E. (2016). E-learning and the science of instruction: Proven guidelines for consumers and designers of multimedia learning (Fourth). Hoboken: Wiley.
Creswell, J. W., & Clark, V. L. P. (2017). Designing and conducting mixed methods research (Third). Los Angeles: SAGE.
Crompton, H., Jones, M. V., Sendi, Y., Aizaz, M., Nako, K., Randall, R., & Weisel, E. (2024). Examining technology use within the ADDIE framework to develop professional training. European Journal of Training and Development, 48(3/4), 422–454. https://doi.org/10.1108/EJTD-12-2022-0137
Dick, W., Carey, L., & Carey, J. O. (2015). The systematic design of instruction (Eighth). Boston: Pearson.
Dominguez, A., De la Garza, J., Quezada-Espinoza, M., & Zavala, G. (2023). Integration of physics and mathematics in STEM education: use of modeling. Education Sciences, 14(1), 20. https://doi.org/10.3390/educsci14010020
English, L. D. (2023). Ways of thinking in STEM-based problem solving. ZDM – Mathematics Education, 55(7), 1219–1230. https://doi.org/10.1007/s11858-023-01474-7
English, L. D., & Lehmann, T. (2024). Ways of thinking in STEM-based problem solving: teaching and learning in a new era (1st ed.). New York, USA: Routledge. https://doi.org/10.4324/9781003404989
Forde, E. N., Robinson, L., Ellis, J. A., & Dare, E. A. (2023). Investigating the presence of mathematics and the levels of cognitively demanding mathematical tasks in integrated stem units. Disciplinary and Interdisciplinary Science Education Research, 5(1). https://doi.org/10.1186/s43031-022-00070-1
Fraenkel, J. R., & Wallen, N. E. (1990). How to design and evaluate research in education. Order Department, McGraw Hill Publishing Co., Princeton Rd., Hightstown, NJ 08520.
Gall, M. D., Borg, W. R., & Gall, J. P. (1996). Educational research: An introduction. Longman Publishing.
Ghani, U., Zhai, X., & Ahmad, R. (2021). Mathematics skills and STEM multidisciplinary literacy: Role of learning capacity. STEM Education, 1(2), 104-113. https://doi.org/10.3934/steme.2021008
Goos, M., Carreira, S., & Namukasa, I. K. (2023). Mathematics and interdisciplinary STEM education: Recent developments and future directions. ZDM – Mathematics Education, 55(7), 1199–1217. https://doi.org/10.1007/s11858-023-01533-z
Griffiths, A. J., Brady, J., Riley, N., Alsip, J., Trine, V., & Gomez, L. (2021). STEM for Everyone: A mixed methods approach to the conception and implementation of an evaluation process for STEM education programs for students with disabilities. Frontiers in Education, 5, 545701. https://doi.org/10.3389/feduc.2020.545701
Guerra, E. (2024). The contribution of critical thinking to STEM disciplines at the time of generative intelligence. STEM Education, 4(1), 71–81. https://doi.org/10.3934/steme.2024005
Hähnlein, I. S., Luleich, C., Reiter, P., Waterstraat, N., & Pirnay-Dummer, P. (2025). Transforming formal knowledge to language and graphs to promote mathematics learning: A repeated-measures mixed design quasi-experiment. Computers in Human Behavior Reports, 18, 100640. https://doi.org/10.1016/j.chbr.2025.100640
Haryono, S., Sugiyanto, A. K., & Suryana, R. (2022). Innovation for development of integrated digital-based jump power meter test for measuring limb muscle power in athletes: aiken validity and inter-rater reliability. Journal of Hunan University Natural Sciences, 49(2), 172–179. https://doi.org/10.55463/issn.1674-2974.49.2.17
Hebebci, M., & Usta, E. (2022). The effects of integrated stem education practices on problem solving skills, scientific creativity, and critical thinking dispositions. Participatory Educational Research, 9(6), 358–379. https://doi.org/10.17275/per.22.143.9.6
Howorth, S. K., Marino, M. T., Flanagan, S., Cuba, M. J., & Lemke, C. (2024). Integrating emerging technologies to enhance special education teacher preparation. Journal of Research in Innovative Teaching & Learning. https://doi.org/10.1108/JRIT-08-2024-0208
Huang, J., Zhong, Y., & Chen, X. (2025). Adaptive and personalized learning in STEM education using high-performance computing and artificial intelligence. The Journal of Supercomputing, 81(8), 981. https://doi.org/10.1007/s11227-025-07481-7
Huang, Y. (2024). Analysis of the impact of ADDIE education model based on logistic regression model on teaching contemporary cultural and creative product design. Applied Mathematics and Nonlinear Sciences, 9(1), 20230243. https://doi.org/10.2478/amns.2023.2.00243
Ibrahim, M., Herwin, H., Retnawati, H., Firdaus, F. M., & Umar, U. (2024). STEM learning for students mathematical numeracy ability. European Journal of STEM Education, 9(1), 20. https://doi.org/10.20897/ejsteme/15750
Ilma, A. Z., Wilujeng, I., Nurtanto, M., & Kholifah, N. (2023). A systematic literature review of STEM education in indonesia (2016-2021): contribution to improving skills in 21st century learning. Pegem Journal of Education and Instruction, 13(02). https://doi.org/10.47750/pegegog.13.02.17
Jawad, L. F., Majeed, B. H., & ALRikabi, H. T. S. (2021). The impact of teaching by using STEM approach in the development of creative thinking and mathematical achievement among the students of the fourth scientific class. International Journal of Interactive Mobile Technologies (IJIM, 15(13), 172. https://doi.org/10.3991/ijim.v15i13.24185
Just, J., & Siller, H.-S. (2024). Redesigning and evaluating a science activity to foster mathematical problem solving. Education Sciences, 14(5), 464. https://doi.org/10.3390/educsci14050464
Khalid, I. L., Abdullah, M. N. S., & Fadzil, H. M. (2024). A systematic review: digital learning in STEM education. Journal of Advanced Research in Applied Sciences and Engineering Technology, 51(1), 98–115. https://doi.org/10.37934/araset.51.1.98115
Kong, S. F., & Mohd Matore, M. E. E. (2021). Can a science, technology, engineering, and mathematics (STEM. Approach Enhance Students’ Mathematics Performance? Sustainability, 14(1), 379. https://doi.org/10.3390/su14010379
Ličen, S., Cassar, M., Filomeno, L., Yeratziotis, A., & Prosen, M. (2023). Development and validation of an evaluation toolkit to appraise elearning courses in higher education: a pilot study. Sustainability, 15(8), 6361. https://doi.org/10.3390/su15086361
Miller, J. (2019). STEM education in the primary years to support mathematical thinking: Using coding to identify mathematical structures and patterns. ZDM, 51(6), 915–927. https://doi.org/10.1007/s11858-019-01096-y
Morrison, G. R., Ross, S. J., Morrison, J. R., & Kalman, H. K. (2019). Designing effective instruction. John Wiley & Sons.
Patton, M. Q. (2015). Qualitative research & evaluation methods: Integrating theory and practice (Fourth). Thousand Oaks, California: SAGE Publications, Inc.
Plomp, T. (2013). Educational design research: an introduction. In T. Plomp & N. Nieveen (Eds.), Educational Design Research Part A: An Introduction. Retrieved from https://ris.utwente.nl/ws/portalfiles/portal/14472302/
Pramasdyahsari, A. S., Setyawati, R. D., Aini, S. N., Nusuki, U., Arum, J. P., Astutik, I. D., ... & Salmah, U. (2023). Fostering students’ mathematical critical thinking skills on number patterns through digital book STEM PjBL. Eurasia Journal of Mathematics, Science and Technology Education, 19(7). https://doi.org/10.29333/ejmste/13342
Queiruga-Dios, M. Á., Vázquez Dorrío, J. B., Sáiz-Manzanares, M. C., López-Iñesta, E., & Diez-Ojeda, M. (2025). STEM approach using soccer: Improving academic performance in Physics and Mathematics in a real-world context. Frontiers in Psychology, 16, 1503397. https://doi.org/10.3389/fpsyg.2025.1503397
Martínez, F. D. J. R., Merchán, M. A. M., & Camacho-Tamayo, E. (2024). Teaching sequences based on the STEM approach for the development of inquiry in early childhood education: A systematic review. Eurasia Journal of Mathematics, Science and Technology Education, 20(10). https://doi.org/10.29333/ejmste/15207
Sevimli, E., & Ünal, E. (2022). Is the stem approach useful in teaching mathematics? evaluating the views of mathematics teachers. European Journal of Stem Education, 7(1), 1. https://doi.org/10.20897/ejsteme/11775
Shakeel, S. I., Al Mamun, M. A., & Haolader, M. F. A. (2022). Instructional design with ADDIE and rapid prototyping for blended learning: Validation and its acceptance in the context of TVET Bangladesh. Education and Information Technologies, 28(6), 7601–7630. https://doi.org/10.1007/s10639-022-11471-0
Shin, M., Simmons, M., Meador, A., Goode, F. J., Deal, A., & Jackson, T. (2023). Mathematics Instruction for Students With Learning Disabilities: Applied Examples Using Virtual Manipulatives. Intervention in School and Clinic, 58(3), 198–204. https://doi.org/10.1177/10534512221081268
Shongwe, B. (2024). The effect of STEM problem-based learning on students’ mathematical problem-solving beliefs. Eurasia Journal of Mathematics, Science and Technology Education, 20(8), 2486. https://doi.org/10.29333/ejmste/14879
Srikoon, S., Khamput, C., & Punsrigate, K. (2024). Effects of STEMEN teaching models on mathematical literacy and mathematical problem-solving. Malaysian Journal of Learning and Instruction, 21(2), 79–115. https://doi.org/10.32890/mjli2024.21.2.4
Stanley, S. D., & Robertson, W. B. (2024). Qualitative research in science education: A literature review of current publications. European Journal of Science and Mathematics Education, 12(2), 175–197. https://doi.org/10.30935/scimath/14293
O’Sullivan, L., Feeney, L., Crowley, R. K., Sukumar, P., McAuliffe, E., & Doran, P. (2021). An evaluation of the process of informed consent: Views from research participants and staff. Trials, 22(1), 544. https://doi.org/10.1186/s13063-021-05493-1
Susanta, A., Susanto, E., & Stiadi, E. (2023). Mathematical literacy skills for elementary school students: a comparative study between interactive STEM learning and paper-and-pencil STEM learning. European Journal of Educational Research, 12(ue–4–october–2023)), 1569–1582. https://doi.org/10.12973/eu-jer.12.4.1569
Tanujaya, B., Prahmana, R. C. I., & Mumu, J. (2022). Likert scale in social sciences research: problems and difficulties. FWU Journal of Social Sciences, 16(4), 89–101. https://doi.org/10.51709/19951272/Winter2022/7
Tashtoush, M. A., Al-Qasimi, A. B., Shirawia, N. A., & Rasheed, N. M. (2024). The Impact of STEM approach to developing mathematical thinking for calculus students among sohar university. European Journal of STEM Education, 9(1), 13. https://doi.org/10.20897/ejsteme/15205
Tessmer, M. (1993). Planning and conducting formative evaluations: improving the quality of education and training. London: Kogan Page. Retrieved from https://www.worldcat.org/title/planning-and-conducting-formative-evaluations-improving-the-quality-of-education-and-training/oclc/840284535
Thuneberg, H. M., Salmi, H. S., & Bogner, F. X. (2018). How creativity, autonomy and visual reasoning contribute to cognitive learning in a STEAM hands-on inquiry-based math module. Thinking Skills and Creativity, 29, 153–160. https://doi.org/10.1016/j.tsc.2018.07.003
Tuong, H. A., Nam, P. S., Hau, N. H., Tien, V. T. B., Lavicza, Z., & Hougton, T. (2023). Utilizing STEM-based practices to enhance mathematics teaching in Vietnam: Developing students’ real-world problem solving and 21st century skills. Journal of Technology and Science Education, 13(1), 73. https://doi.org/10.3926/jotse.1790
Tytler, R., Anderson, J., & Williams, G. (2023). Exploring a framework for integrated STEM: Challenges and benefits for promoting engagement in learning mathematics. ZDM – Mathematics Education, 55(7), 1299–1313. https://doi.org/10.1007/s11858-023-01519-x
Wan, Z. H., English, L., So, W. W. M., & Skilling, K. (2023). STEM integration in primary schools: theory, implementation and impact. International Journal of Science and Mathematics Education, 21, 1–9. https://doi.org/10.1007/s10763-023-10401-x
Wang, G., & Chen, S. (2025). Integrating STEM principles into kindergarten science education. International Journal of Knowledge Management, 21(1), 1–17. https://doi.org/10.4018/IJKM.383964
Yuliardi, R., Kusumah, Y. S., & Juandi, D. (2024). Development of a STEM-based digital learning space platform to enhance students’ mathematical creativity in future learning classrooms. Eurasia Journal of Mathematics, Science and Technology Education, 20(12). https://doi.org/10.29333/ejmste/15665
Zhexembinova, A., Kokazhayeva, A., Babaev, D., Shiyapov, K., & Sekenova, A. (2023). Actualization of interdisciplinary integration at mathematics lessons. European Journal of Education, 59(1). https://doi.org/10.1111/ejed.12582
Zhou, D., Gomez, R., Wright, N., Rittenbruch, M., & Davis, J. (2022). A design-led conceptual framework for developing school integrated STEM programs: The Australian context. International Journal of Technology and Design Education, 32(1), 383–411. https://doi.org/10.1007/s10798-020-09619-5
Ziatdinov, R., & Valles, J. R. (2022). Synthesis of modeling, visualization, and programming in geogebra as an effective approach for teaching and learning STEM Topics. Mathematics, 10(3), 398. https://doi.org/10.3390/math10030398p
Refbacks
- There are currently no refbacks.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
 


 
         
         
         
        