Development of Flipped Classroom Learning Materials for Mathematics in the Modern World
DOI:
https://doi.org/10.69569/jip.2025.137Keywords:
Flipped classroom, Higher education, Instructional materials, Mathematics in the Modern WorldAbstract
The flipped classroom model has emerged as an effective strategy for enhancing student engagement and conceptual understanding in mathematics education. This study developed and validated flipped classroom learning materials for Mathematics in the Modern World (MMW) to address students’ difficulties with abstract and conceptual topics. Using the Successive Approximation Model (SAM), a diagnostic assessment was first conducted among 100 first-year college students to identify the least mastered lessons: Where is Mathematics, How Mathematics is Done, Characteristics of the Language of Mathematics, and Some Elementary Logic, with correct response rates ranging from 20% to 40%. Based on these findings, four instructional modules were designed and later evaluated by 80 purposefully selected students and seven mathematics experts. The evaluation focused on four criteria: content, design, features, presentation, organization, and assessment tools. Descriptive statistics revealed that students and experts rated the materials as “good” (overall mean = 3.44), citing clarity, engagement, and alignment with learning objectives. Thematic analysis of qualitative feedback highlighted strengths in structure and multimedia use while recommending enhancements such as authentic assessments, interactive tasks, and standardized rubrics. The study concludes that the developed instructional materials are pedagogically sound and suitable for flipped learning environments, with suggestions for further refinement and broader implementation.
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Ahmed, S., Baloch, M. A., & Karim, H. (2024). Investigating the Impact of Teaching-Learning Materials on Students’ Academic Performance in Government Primary Schools in the
Naseerabad Division, Balochistan, Pakistan. Journal of Development and Social Sciences, 5(1), 538–545. https://doi.org/10.47205/jdss.2024(5-I)49
Akçayır, G., & Akçayır, M. (2018). The flipped classroom: A review of its advantages and challenges. Computers & Education, 126, 334-345. https://doi.org/10.1016/j.compedu.2018.07.021 Alias, N. F., & Razak, R. A. (2024). Revolutionizing learning in the digital age: a systematic literature review of microlearning strategies. Interactive Learning Environments, 33(1), 1–21.
https://doi.org/10.1080/10494820.2024.2331638
Belisle, L., Boppre, B., Keen, J., & Salisbury, E. J. (2019). Bringing Course Material to Life through Experiential Learning: Impacts on Students’ Learning and Perceptions in a Corrections
Course. Journal of Criminal Justice Education, 31(2), 161–186. https://doi.org/10.1080/10511253.2019.1684537
Bergmann, J., & Sams, A. (2012). Flip Your Classroom: Reach Every Student in Every Class Every Day (pp. 120-190). Washington DC: International Society for Technology in Education.
Retrieved from https://bit.ly/43jqQuo
Blau I, Shamir-Inbal T (2017) Re-designed flipped learning model in an academic course: the role of co-creation and co-regulation. Comput Educ, 115, 69–81. https://doi.org/10.1016/j.compedu.2017.07.014
Boaler, J. (2016). Mathematical mindsets: Unleashing students' potential through creative math, inspiring messages and innovative teaching. Research in Mathematics Education, 18(3), 1-4. https://doi.org/10.1080/14794802.2016.1237374
Bradford, M., Muntean, C., & Pathak, P. (2015). An analysis of flip-classroom pedagogy in first year undergraduate mathematics for computing. Proceedings - Frontiers in Education Conference, FIE 2015. https://doi.org/10.1109/FIE.2014.7044072.
Bronkhorst, H., Roorda, G., Suhre, C., & Goedhart, M. (2022). Students’ use of formalisations for improved logical reasoning. Research in Mathematics Education, 24(3), 291–323. https://doi.org/10.1080/14794802.2021.1991463
Campillo-Ferrer, J.M., & Miralles-Martínez, P. (2021). Effectiveness of the flipped classroom model on students’ self-reported motivation and learning during the COVID-19 pandemic.
Humanities and Social Sciences Communications, 8, 176. https://doi.org/10.1057/s41599-021-00860-4
Charles, M., George, K., Kuteesa Mugenyi, D., Muhamadi, K., Lawrence, S., Nabateregga, J., Taddeo, K. Y. (2024). Experiential and inquiry-based learning approaches; correlated exploration on usage in selected secondary schools in Bugiri District, Eastern Uganda. Interactive Learning Environments, 1–15. https://doi.org/10.1080/10494820.2024.2368885
Dagdag, J. D. (2020). Organizational structure and procedure barriers to obedizing Philippine higher education: Implications to policies and practice. Journal of Research, Policy & Practice of Teachers and Teacher Education, 10(1), 27-43. https://doi.org/10.37134/jrpptte.vol10.1.3.2020
Dagdag, J. D. (2019). Mathematics educators’ perspectives on outcome-based education: Alignment with the learning paradigm of tertiary education in the Philippines. Interdisciplinary Research Review, 14(3), 1–7. https://ph02.tcithaijo.org/index.php/jtir/article/view/205117
Dagdag, J. D. & Cardona, R. S. (2018). Perspectives on outcomes-based assessment (OBA) among college mathematics educators in northeastern Luzon, Philippines. Asia Pacific Journal of Multidisciplinary Research, 6(2), 18-25. https://bit.ly/2JpbPg8
Darling-Hammond, L., Flook, L., Cook-Harvey, C., Barron, B., & Osher, D. (2019). Implications for educational practice of the science of learning and development. Applied Developmental Science, 24(2), 97–140. https://doi.org/10.1080/10888691.2018.1537791
Eppard, J., & Rochdi, A. (2017). A framework for flipped learning. Proceedings of the 13th International Conference on Mobile Learning, 2017, 33-40. Retrieved from Howell, E., & Smalley,
P. P. (n.d.). Flipped Classrooms. https://bit.ly/4kqt0yy
Hoadley, C., & Campos, F. C. (2022). Design-based research: What it is and why it matters to studying online learning. Educational Psychologist, 57(3), 207–220. https://doi.org/10.1080/00461520.2022.2079128
Lim, K. (2024). Assessing beyond grades: unravelling the implications on student learning and engagement in higher education. Assessment & Evaluation in Higher Education, 49(5), 665– 679. https://doi.org/10.1080/02602938.2024.2314703
Morgan, C. (2020). Mathematical Language. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_9
Nedaei, M., Radmehr, F., & Drake, M. (2021). Exploring undergraduate engineering students’ mathematical problem-posing: the case of integral-area relationships in integral calculus.
Mathematical Thinking and Learning, 24(2), 149–175. https://doi.org/10.1080/10986065.2020.1858516
Olasunkanmi, I., & Oyarinde, O. (2023). Impacts of Flipped Classroom Approach on Pre-Service Teachers' Academic Achievement in Mathematics in Adeyemi College of Education, Ondo.
Kampala International University Journal of Education, 3(1), 57–65. https://doi.org/10.59568/KJED-2023-3-1-06
Ovadiya, T. (2021). Implementing theoretical intervention principles in teaching mathematics to struggling students to promote problem-solving skills. International Journal of Mathematical Education in Science and Technology, 54(1), 4–28. https://doi.org/10.1080/0020739X.2021.1944682
Rachul, C., Collins, B., Ahmed, M., & Cai, G. (2020). Twelve tips for designing assignments that foster independence in learning. Medical Teacher, 43(1), 75–79. https://doi.org/10.1080/0142159X.2020.1752914
Saparbayeva, E., Abdualiyeva, M., Torebek, Y., Kostangeldinova, A., Tursynbayev, A., Takibayeva, G., & Sabalakhova, A. (2025). Transforming mathematics education in Kazakhstan: evaluating the impact of innovative teaching methods on student outcomes in technical universities. Cogent Education, 12(1). https://doi.org/10.1080/2331186X.2025.2461978
Schoenfeld, A. H. (2016). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint). Journal of Education, 196, 1-38. https://doi.org/10.1177/002205741619600202
Sergis, S., Sampson, D. G., & Pelliccione, L. (2018). Investigating the impact of flipped classroom on students' learning experiences: A self-determination theory approach. Computers in Human Behavior, 78, 368-378. https://doi.org/10.1016/j.chb.2017.08.011
Streifer, A. C., & Palmer, M. S. (2021). Is Specifications Grading Right for Me?: A Readiness Assessment to Help Instructors Decide. College Teaching, 71(4), 244–251. https://doi.org/10.1080/87567555.2021.2018396
Sweller, J. (2011). Cognitive load theory. Springer.
Tall, D. (2013). How humans learn to think mathematically. Cambridge University Press. https://doi.org/10.1017/CBO9781139565202
Torres-Peña, R. C., Peña-González, D., & Ariza-Echeverri, E. A. (2025). Exploring geometric reasoning development in early civil engineering education through structured problem- solving. Mathematical Thinking and Learning, 1–18. https://doi.org/10.1080/10986065.2025.2453773
Vattøy, K. D., & Gamlem, S. M. (2024). Navigating formative assessment as professional development in digital contexts: insights from teachers’ experiences. Teacher Development, 1–18. https://doi.org/10.1080/13664530.2024.2382956
Vygotsky, L. S. (1978). Mind in society: The development of higher psychological processes. Harvard University Press.
Wang, X., & Wang, T. (2020). The mutability of pedagogical practice and space use: a case study of collaborative learning and classroom space in a Chinese primary school. Compare: A Journal of Comparative and International Education, 52(5), 729–747. https://doi.org/10.1080/03057925.2020.1811640
Wetzel, E. M., & Farrow, C. B. (2021). Active learning in construction management education: faculty perceptions of engagement and learning. International Journal of Construction Management, 23(8), 1417–1425. https://doi.org/10.1080/15623599.2021.1974684
Wiggins, G., & McTighe, J. (2005). Understanding by design (Expanded 2nd ed.). ASCD.
Yin, H. (2020). Exploring the effectiveness of a flipped classroom with student teaching. E-Journal of Business Education & Scholarship of Teaching, 14(1), 66-78. Retrieved from Howell, E., & Smalley, P. P. (n.d.). Flipped Classrooms. https://bit.ly/4kqt0yy
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