Developing and Validating Contextual Learning Instructional Materials for Two-Variable Linear Equation Systems in Senior High School Mathematics
DOI:
https://doi.org/10.64268/jtse.v1i1.13Keywords:
Contextual learning, Instructional material development, Mathematics education, Two-variable linear equation systems, Validation and effectivenessAbstract
Background: The quality of mathematics instruction is strongly influenced by the availability of well-designed instructional materials that actively engage students and connect abstract concepts to real-life contexts. In practice, mathematics learning at the secondary level often remains teacher-centered, limiting students’ opportunities to construct meaning independently. This condition is particularly evident in learning systems of linear equations in two variables, where procedural instruction dominates and contextual understanding is minimal. Therefore, developing instructional materials grounded in contextual learning principles is essential to improve instructional quality and learning effectiveness.
Aims: This study aimed to develop and validate contextual learning-based instructional materials for the topic of two-variable linear equation systems at the senior high school level and to examine their effectiveness in supporting classroom learning.
Methods: This research employed a development research design using a modified 4-D model, limited to the define, design, and develop stages. The instructional materials produced consisted of lesson plans, student worksheets, and achievement tests. Validation by subject-matter experts, classroom trials, and implementation phases were conducted to evaluate validity, practicality, and effectiveness. Data were collected through validation sheets, classroom observation instruments, student response questionnaires, and learning achievement tests.
Results: The findings indicated that all instructional materials met the criteria of validity with expert evaluations categorized as good. Teachers’ instructional management was consistently rated effective, student learning activities aligned with planned instructional phases, and student responses toward the learning process were predominantly positive. Classical learning mastery was achieved, demonstrating the effectiveness of the developed materials.
Conclusion: The study confirms that contextual learning-based instructional materials can significantly enhance the quality of mathematics instruction by fostering active student engagement, meaningful learning experiences, and improved learning outcomes. The integration of real-life contexts into mathematical instruction supports students’ conceptual understanding and problem-solving abilities. These findings contribute to instructional development research by providing empirically validated materials that align with contemporary pedagogical demands. The results also offer practical implications for mathematics educators seeking to implement contextual learning approaches and support curriculum innovation in secondary education settings.
References
Badioze Zaman, H., Bakar, N., Ahmad, A., Sulaiman, R., Arshad, H., & Mohd. Yatim, N. F. (2009). Virtual Visualisation Laboratory for Science and Mathematics Content (Vlab-SMC) with special reference to teaching and learning of chemistry. Lect. Notes Comput. Sci., 5857 LNCS, 356–370. https://doi.org/10.1007/978-3-642-05036-7_34
Carless, D. (2023). Teacher feedback literacy, feedback regimes and iterative change: Towards enhanced value in feedback processes. Higher Education Research & Development, 42(8), 1890–1904. https://doi.org/10.1080/07294360.2023.2203472
Dahal, N., Pant, B. P., Luite, B. C., Khadka, J., Shrestha, I. M., Manandhar, N. K., & Rajbanshi, R. (2023). Development and Evaluation of E-Learning Courses: Validity, Practicality, and Effectiveness. 17(12). https://www.researchgate.net/profile/Niroj-Dahal-4/publication/371726887_Development_and_Evaluation_of_E-Learning_Courses_Validity_Practicality_and_Effectiveness/links/6492576b8de7ed28ba4089bb/Development-and-Evaluation-of-E-Learning-Courses-Validity-Practicality-and-Effectiveness.pdf
De La Paz, S., Wissinger, D. R., Gross, M., & Butler, C. (2022). Strategies that promote historical reasoning and contextualization: A pilot intervention with urban high school students. Reading and Writing, 35(2), 353–376. https://doi.org/10.1007/s11145-021-10183-0
Divjak, B., Svetec, B., Horvat, D., & Kadoić, N. (2023). Assessment validity and learning analytics as prerequisites for ensuring student‐centred learning design. British Journal of Educational Technology, 54(1), 313–334. https://doi.org/10.1111/bjet.13290
Fang, X., Ng, D. T. K., Leung, J. K. L., & Xu, H. (2024). The applications of the ARCS model in instructional design, theoretical framework, and measurement tool: A systematic review of empirical studies. Interactive Learning Environments, 32(10), 5919–5946. https://doi.org/10.1080/10494820.2023.2240867
Ferede, A. T., Ayele, M. A., Mihrka, A. A., & Arara, A. A. (2025). The impact of contextualized teaching and learning approach on students’ conceptual understanding of trigonometry. Teaching Mathematics and Its Applications: An International Journal of the IMA, hraf008. https://doi.org/10.1093/teamat/hraf008
Geiger, V., Gal, I., & Graven, M. (2023). The connections between citizenship education and mathematics education. ZDM – Mathematics Education, 55(5), 923–940. https://doi.org/10.1007/s11858-023-01521-3
Isharyadi, R., & Nurjanah. (2025). Exploring three-dimensional geometry using praxeological analysis: Indonesian textbook insights. Journal on Mathematics Education, 16(1), 343–364. https://doi.org/10.22342/jme.v16i1.pp343-364
Johar, N. A., Kew, S. N., Tasir, Z., & Koh, E. (2023). Learning analytics on student engagement to enhance students’ learning performance: A systematic review. 15(10), 7849.
Liao, C.-W., Tseng, Y.-J., Liao, Y.-H., Chen, B.-S., Ho, W.-S., Wang, I.-C., Lin, H.-I., & Chen, I.-M. (2023). A Practical Curriculum Design and Learning Effectiveness Evaluation of Competence-Oriented Instruction Strategy Integration: A Case Study of Taiwan Skills-Based Senior High School. Behavioral Sciences, 13(1), 43. https://doi.org/10.3390/bs13010043
Mujib, Mardiyah, Farida, Rachmadina, D., & Pratiwi, D. D. (2021). Developing mathematics video assisted by powtoon application in contextual learning approach. IOP Conf. Ser. Earth Environ. Sci., 1796(1). https://doi.org/10.1088/1742-6596/1796/1/012027
Ncube, M., & Luneta, K. (2025). Concept-based instruction: Improving learner performance in mathematics through conceptual understanding. 46(1), 1–18.
Panjaitan, D. J., Firmansyah, Sapta, A., Aprilia, R., & Siregar, A. F. P. (2025). DEVELOPMENT OF MATHEMATICS LEARNING USING BATAK CULTURE-BASED MEDIA IN INDONESIA. Jurnal Ilmiah Ilmu Terapan Universitas Jambi, 9(3), 1249–1261. https://doi.org/10.22437/jiituj.v9i3.43196
Pernantah, P. S., Supriatna, N., Sariyatun, S., Handrianto, C., Ahmal, A., & Aisiah, A. (2023). Development of local history teaching materials based on android integrated values of sultan syarif kasim. 9(2), 127–138.
Prahmana, R. C. I., Risdiyanti, I., Peni, N. R. N., Ristiana, N., & Ramadhani, R. (2025). Javanese folklore with moral values: An impactful context in learning relations and functions. Journal on Mathematics Education, 16(1), 197–224. https://doi.org/10.22342/jme.v16i1.pp197-224
Ramos, J. L., Cattaneo, A. A. P., De Jong, F. P. C. M., & Espadeiro, R. G. (2022). Pedagogical models for the facilitation of teacher professional development via video-supported collaborative learning. A review of the state of the art. Journal of Research on Technology in Education, 54(5), 695–718. https://doi.org/10.1080/15391523.2021.1911720
Reinke, L. T., & Casto, A. R. (2022). Motivators or conceptual foundation? Investigating the development of teachers’ conceptions of contextual problems. Mathematics Education Research Journal, 34(1), 113–137. https://doi.org/10.1007/s13394-020-00329-8
Reiser, B. J., Novak, M., McGill, T. A. W., & Penuel, W. R. (2021). Storyline Units: An Instructional Model to Support Coherence from the Students’ Perspective. Journal of Science Teacher Education, 32(7), 805–829. https://doi.org/10.1080/1046560X.2021.1884784
Ruiz-Rojas, L. I., Acosta-Vargas, P., De-Moreta-Llovet, J., & Gonzalez-Rodriguez, M. (2023). Empowering education with generative artificial intelligence tools: Approach with an instructional design matrix. 15(15), 11524.
Salloum, S. J. (2022). Building Coherence: An Investigation of Collective Efficacy, Social Context, and How Leaders Shape Teachers’ Work. American Journal of Education, 128(2), 203–243. https://doi.org/10.1086/717654
Sørensen, A., Lagestad, P., & Mikalsen, H. K. (2023). Student teacher experiences of learning and pedagogical involvement using a student-centered learning approach. 13(9), 965.
Soubra, L., Al-Ghouti, M. A., Abu-Dieyeh, M., Crovella, S., & Abou-Saleh, H. (2022). Impacts on student learning and skills and implementation challenges of two student-centered learning methods applied in online education. 14(15), 9625.
Spyropoulou, N., & Kameas, A. (2023). Augmenting the impact of STEAM education by developing a competence framework for STEAM educators for effective teaching and learning. 14(1), 25.
Sukasno, Zulkardi, Putri, R. I. I., & Somakim. (2024). Learning fraction with vacation: Integrating Musi Rawas tourism in designing learning trajectory on fraction. Journal on Mathematics Education, 15(4), 1153–1174. https://doi.org/10.22342/jme.v15i4.pp1153-1174
Tinoca, L., Piedade, J., Santos, S., Pedro, A., & Gomes, S. (2022). Design-based research in the educational field: A systematic literature review. 12(6), 410.
Van De Berg, D. J., Rodriguez Schaap, P. M., Jamaludin, F. S., Van Santen, H. M., Clement, S. C., Vriens, M. R., Van Trotsenburg, A. S. P., Mooij, C. F., Bruinstroop, E., Kruijff, S., Peeters, R. P., Verburg, F. A., Netea-Maier, R. T., Nieveen Van Dijkum, E. J. M., Derikx, J. P. M., & Engelsman, A. F. (2024). The Definition of Recurrence of Differentiated Thyroid Cancer: A Systematic Review of the Literature. Thyroid®, 34(11), 1324–1334. https://doi.org/10.1089/thy.2024.0271
Xu, X., Shi, Z., Bos, N. A., & Wu, H. (2023). Student engagement and learning outcomes: An empirical study applying a four-dimensional framework. Medical Education Online, 28(1), 2268347. https://doi.org/10.1080/10872981.2023.2268347
Yousuf, A., Mustafa, M., & De La Cruz, A. (2010). Project-Based Learning (PBL). ASEE Annu. Conf. Expos. Conf. Proc. ASEE Annual Conference and Exposition, Conference Proceedings.
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