Development of STEM-Based VARK Learning Application to Improve Problem-Solving Skills in Calculus Courses
This research and development aims to develop a STEM-based VARK Learning Application to improve problem-solving skills in Calculus courses. Although the STEM approach has been widely applied in mathematics learning, and learning preferences such as VARK have been explored in various studies, both are generally studied separately and have not been integrated into structured adaptive mechanisms in digital learning products. Furthermore, the effectiveness of the learning styles approach remains debated when not implemented in a systematic instructional design. This research fills this gap by positioning VARK as a basis for differentiating the presentation of multimodal content within a STEM learning framework, explicitly integrated into features, activity flows, and problem-solving exercises within a single digital ecosystem. The development followed a 4-D model (define, design, develop, disseminate) through the stages of needs analysis, prototype design, expert validation, and limited implementation. The participants in the implementation were 50 students in the Mathematics Education program at a university in Semarang City, selected through purposive sampling. The research instruments included expert validation sheets (materials, media, evaluation) and problem-solving ability tests administered at three measurement times. Validation data were analyzed descriptively using mean scores, while changes in ability were analyzed using repeated-measures ANOVA. The results showed a validity score of 4.22 in the Highly Valid category (4 ≤ x ≤ 5) with minor revisions. The mean problem-solving ability increased from 74.5 to 81.4 and 84.9, with significant differences across groups. These findings indicate that integrating multimodal differentiation into digital STEM design has the potential to support improvements in problem-solving abilities in a limited research context. Further studies with experimental designs and larger samples are needed to strengthen the external validity of the findings.
Keywords: calculus, learning application, problem solving, VARK.
Abe, E. N., & Chikoko, V. (2020). Exploring the factors that influence the career decisions of STEM students at a university in South Africa. International Journal of STEM Education, 7(1). https://doi.org/10.1186/s40594-020-00256-x
Alliance, A. (2015). “America after 3PM”: Full STEM Ahead--Afterschool Programs Step Up as Key Partners in STEM Education. Afterschool Alliance. http://search.ebscohost.com/login.aspx?direct=true&db=eric&AN=ED582338&site=ehost-live
Amir, M. F. (2015). Proses Berpikir Kritis Siswa Sekolah Dasar dalam Memecahkan Masalah Berbentuk Soal Cerita Matematika Berdasarkan Gaya Belajar [Process Of Critical Thinking of Elementary School Students In Solving Problems In The Form of Mathematics Story Problems Based on Learning Style]. Journal of Math Educator Nusantara, 01(02), 159–170. http://ojs.unpkediri.ac.id/index.php/matematika/article/download/235/150
Arikunto, S. (2016). Prosedur Penelitian Suatu Pendekatan Praktik. Jakarta: Rineka Cipta.
Artigue, M., & Houdement, C. (2007). Problem solving in France: Didactic and curricular perspectives. ZDM - International Journal on Mathematics Education, 39(5–6), 365–382. https://doi.org/10.1007/s11858-007-0048-x
Azizah, F., & Dien, C. A. (2017). Meningkatkan kemampuan pemahaman matematis melalui model pembelajaran visual auditory kinestetic ( VAK ). Seminar Matematika Dan Pendidikan Matematika Uny 2017.
Borda, E., Schumacher, E., Hanley, D., Geary, E., Warren, S., Ipsen, C., & Stredicke, L. (2020). Initial implementation of active learning strategies in large, lecture STEM courses: lessons learned from a multi-institutional, interdisciplinary STEM faculty development program. International Journal of STEM Education, 7(1). https://doi.org/10.1186/s40594-020-0203-2
Buckley, J., Seery, N., & Canty, D. (2018). A Heuristic Framework of Spatial Ability: a Review and Synthesis of Spatial Factor Literature to Support its Translation into STEM Education. Educational Psychology Review, 30(3), 947–972. https://doi.org/10.1007/s10648-018-9432-z
Burkhardt, H., & Bell, A. (2007). Problem solving in the United Kingdom. ZDM - International Journal on Mathematics Education, 39(5–6), 395–403. https://doi.org/10.1007/s11858-007-0041-4
Cai, J., & Nie, B. (2007). Problem solving in Chinese mathematics education: Research and practice. ZDM - International Journal on Mathematics Education, 39(5–6), 459–473. https://doi.org/10.1007/s11858-007-0042-3
Callan, G., Yang, N.-J., Zhang, Y., & Sciuchetti, M. B. (2020). Narrowing the research to practice gap: a primer to self-regulated learning application in school psychology. Contemporary School Psychology. https://doi.org/10.1007/s40688-020-00323-8
Clarke, D., Goos, M., & Morony, W. (2007). Problem solving and Working Mathematically: An Australian perspective. ZDM - International Journal on Mathematics Education, 39(5–6), 475–490. https://doi.org/10.1007/s11858-007-0045-0
Creswell, J. W. (2012). Educational Research : planning, conducting, and evaluating quantitative and qualitative research (Paul A. Smith, Ed.; 4th ed.). Pearson Education.
Davenport, C., Dele-Ajayi, O., Emembolu, I., Morton, R., Padwick, A., Portas, A., Sanderson, J., Shimwell, J., Stonehouse, J., Strachan, R., Wake, L., Wells, G., & Woodward, J. (2020). A theory of change for improving children’s perceptions, aspirations and uptake of stem careers. Research in Science Education. https://doi.org/10.1007/s11165-019-09909-6
Deborah, L. J. E. G. A. T. H. A., Sathiyaseelan, R., Audithan, S., & Vijayakumar, P. (2015). Fuzzy-logic based learning style prediction in e-learning using web interface information. Sadhana - Academy Proceedings in Engineering Sciences, 40(2), 379–394. https://doi.org/10.1007/s12046-015-0334-1
Delahunty, T., Seery, N., & Lynch, R. (2020). Exploring problem conceptualization and performance in STEM problem solving contexts. In Instructional Science (Vol. 48, Number 4). Springer Netherlands. https://doi.org/10.1007/s11251-020-09515-4
Doorman, M., Drijvers, P., Dekker, T., Heuvel‐Panhuizen, M. v. d., Lange, J. d., & Wijers, M. (2007). Problem solving as a challenge for mathematics education in the netherlands. ZDM, 39(5–6), 405–418. https://doi.org/10.1007/s11858-007-0043-2
El-Bishouty, M. M., Aldraiweesh, A., Alturki, U., Tortorella, R., Yang, J., Chang, T. W., Graf, S., & Kinshuk. (2019). Use of Felder and Silverman learning style model for online course design. Educational Technology Research and Development, 67(1), 161–177. https://doi.org/10.1007/s11423-018-9634-6
Erlina & Purnomo, E. A. (2020). Implementasi lesson study melalui model pembelajaran problem based learning materi SPLTV Kelas X IIK [implementation of lesson study through the problem based learning model for SPLTV Class X IIK Material]. AlphaMath : Journal of Mathematics Education, 6(1), 36–45. https://doi.org/10.30595/alphamath.v6i1.7619
Fleming, N., & Baume, D. (2006). Learning Styles Again: VARKing up the right tree! Educational Developments, SEDA Ltd, (7), 4. www.vark-learn.com
Greiff, S & Fischer, A. (2013). Measuring complex problem solving: An educational application of psychological theories. Journal of Educational Research Online, 5(1), 38–58. http://www.j-e-r-o.com/index.php/jero/article/download/338/160
Khanal, B., Panthi, R. K., Kshetree, M. P., Acharya, B. R., & Belbase, S. (2021). Mathematics learning strategies of high school students in Nepal. SN Social Sciences, 1(7), 1–28. https://doi.org/10.1007/s43545-021-00165-y
Kwon, H., Capraro, R. M., & Capraro, M. M. (2021). When i believe, i can: success stems from my perceptions. Canadian Journal of Science, Mathematics and Technology Education, 21(1), 67–85. https://doi.org/10.1007/s42330-020-00132-4
Marković, S., & Jovanović, N. (2012). Learning style as a factor which affects the quality of e-learning. Artificial Intelligence Review, 38(4), 303–312. https://doi.org/10.1007/s10462-011-9253-7
Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative data analysis: A methodes sourcebook (3rd Ed.). In SAGE Arizona State University. https://doi.org/10.7748/ns.30.25.33.s40
Nur Habibah, Rahmawati, S., & Sayekti, A. (2019). Pengaruh gaya belajar terhadap prestasi mahasiswa generasi z di perguruan tinggi. Perspektif Ilmu Pendidikan, 33(2), 7–18. https://doi.org/10.21009/pip.332.2
Nurkanti, M. (2019). Persepsi penerapan model STEM (science, technology, engineering, and mathematics) untuk meningkatkan pemahaman guru dalam menghadapi revolusi industri 4.0 [perception of the application of the STEM (science, technology, engineering, and mathematics) model to improve teachers' understanding in facing the industrial revolution 4.0]. Prosiding PKM-CSR, 2, 838–863.
Olejnik, S., & Algina, J. (2003). Generalized eta and omega squared statistics: measures of effect size for some common research designs. In Psychological Methods (Vol. 8, Number 4, pp. 434–447). https://doi.org/10.1037/1082-989X.8.4.434
Perignat, E., & Katz-buonincontro, J. (2018). STEAM in practice and research: an integrative literature review. Thinking Skills and Creativity, 10(2), 31–43. https://doi.org/10.1016/j.tsc.2018.10.002
Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An analysis of elementary school students’ difficulties in mathematical problem solving. Procedia - Social and Behavioral Sciences, 116(2012), 3169–3174. https://doi.org/10.1016/j.sbspro.2014.01.728
Plomp, T., & Nieveen, Nienke. (2013). Educational design research. Part A : an introduction. SLO.
Prasetyo, T. F., & Iqbal, M. (2016). Sistem pakar identifikasi gaya belajar mahasiswa berbasis web [web-based expert system for identifying student learning styles]. Seminar Nasional Sains Dan Teknologi 2016, Fakultas Teknik, Universitas Muhammadiyah Jakarta, (November), 1–7.
Prihaswati, M., & Purnomo, E. A. (2021). Profil gaya belajar mahasiswa prodi pendidikan matematika berdasarkan model VARK [learning style profile of mathematics education students based on the VARK model]. Teorema: Teori Dan Riset Matematika, 6(2), 242–249. https://doi.org/10.25157/teorema.v6i2.6064
Purnomo, E. A., Dalyono, B., & Lestariningsih, E. D. (2021). Developing e-learning media on education statistics subject. Journal of Physics: Conference Series, 1918(4). https://doi.org/10.1088/1742-6596/1918/4/042116
Purnomo, E. A., & Mawarsari, V. D. (2014). Peningkatan kemampuan pemecahan masalah melalui model pembelajaran IDEAL problem solving berbasis project based learning [improving problem-solving skills through the IDEAL problem solving learning model based on project based learning]. Jurnal Karya Pendidikan Matematika, 1(1), 24–31. https://doi.org/10.1016/S0022-328X(00)99768-7
Purnomo, E. A., Sukestiyarno, Y. L., Junaedi, I., & Agoestanto, A. (2022). Analysis of problem solving process on HOTS test for integral calculus. Mathematics Teaching-Research Journal, 14(1), 199–213. https://files.commons.gc.cuny.edu/wp-content/blogs.dir/34462/files/2024/07/10Purnomo.pdf
Purnomo, E. A., Sukestiyarno, Y. L., Junaedi, I., & Agoestanto, A. (2024). Stages of problem-solving in answering HOTS-Based questions in differential calculus courses. Mathematics Teaching-Research Journal, 6(15), 116–145. https://files.commons.gc.cuny.edu/wp-content/blogs.dir/34462/files/2024/06/7.-Purnomo-Andy.pdf
Purnomo, E.A. & Faturohman, A. (2014). Pengembangan perangkat pembelajaran dengan model ideal problem solving berbasis maple matakuliah kalkulus II [development of learning tools with maple-based ideal problem solving model for calculus ii course]. In Prosiding Seminar Nasional & Internasional. https://jurnal.unimus.ac.id/index.php/psn12012010/article/view/1264/1317
Rasyid, A., Rinto, R., & Susanti, M. (2023). Project-Based learning through the STEM approach in elementary schools: how to improve problem-solving ability. J. Edu. For. Sustainable Inno, 1(1), 1–8. https://doi.org/10.56916/jesi.v1i1.477
Rini, T., & Cholifah, P. (2020). Electronic module with project based learning (pjbl): innovation of digital learning product on 4.0 era. Edcomtech Jurnal Kajian Teknologi Pendidikan, 5(2), 155–161. https://doi.org/10.17977/um039v5i22020p155
Roberts, T., Jackson, C., Mohr-Schroeder, M. J., Bush, S. B., Maiorca, C., Cavalcanti, M., Craig Schroeder, D., Delaney, A., Putnam, L., & Cremeans, C. (2018). Students’ perceptions of STEM learning after participating in a summer informal learning experience. International Journal of STEM Education, 5(1). https://doi.org/10.1186/s40594-018-0133-4
Robson, A., & Polya, G. (1946). How to solve It. The Mathematical Gazette. https://doi.org/10.2307/3609122
Rodríguez-Martín, M., Vergara, D., & Rodríguez-Gonzálvez, P. (2020). Simulation of a real call for research projects as activity to acquire research skills: Perception analysis of teacher candidates. Sustainability (Switzerland), 12(18), 1–17. https://doi.org/10.3390/SU12187431
Schoenfeld. (2007). Problem solving in the United States, 1970–2008: research and theory, practice and politics. Zdm, 39(5–6), 537–551. https://doi.org/10.1007/s11858-007-0038-z
Schoenfeld, A. H. (1992). Learning to think mathematically : problem solving , metacognition , and sense making in mathematics ( Reprint ) alan h . Schoenfeld, the University of California, Berkeley. Journal of Education, 196(2), 1–38.
Seyal, A. H., & Rahman, M. N. A. (2015). Understanding learning styles, attitudes and intentions in using e-learning system: evidence from brunei. World Journal of Education, 5(3), 61–72. https://doi.org/10.5430/wje.v5n3p61
Shin, S., Rachmatullah, A., Roshayanti, F., Ha, M., & Lee, J. K. (2018). Career motivation of secondary students in STEM: a cross-cultural study between Korea and Indonesia. International Journal for Educational and Vocational Guidance, 18(2), 203–231. https://doi.org/10.1007/s10775-017-9355-0
Sugiyono. (2017). Metode penelitian pendidikan (pendekatan kuantitatif, kualitatif dan R & D). Alfabeta : Bandung.
Sugiyono. (2018). Metode penelitian pendidikan (pendekatan kuantitatif, kualitatif dan R&D). Alfabeta.
Sulistyaningsih, D., Purnomo, E. A., & Purnomo. (2021). Polya’s problem solving strategy in trigonometry: An analysis of students’ difficulties in problem solving. Mathematics and Statistics, 9(2), 127–134. https://doi.org/10.13189/ms.2021.090206
Supandi, S., Suyitno, H., Sukestiyarno, Y. L., & Dwijanto, D. (2021). Learning barriers and student creativity in solving math problems. Journal of Physics: Conference Series, 1918(4), 042088. https://doi.org/10.1088/1742-6596/1918/4/042088
Szendrei, J. (2007). When the going gets tough, the tough gets going problem solving in Hungary, 1970-2007: Research and theory, practice and politics. ZDM - International Journal on Mathematics Education, 39(5–6), 443–458. https://doi.org/10.1007/s11858-007-0037-0
Temur, Ö. D. (2012). Analysis of prospective classroom teachers’ teaching of mathematical modeling and problem solving. Eurasia Journal of Mathematics, Science and Technology Education, 8(2), 83–93. https://doi.org/10.12973/eurasia.2012.822a
Thiagarajan, S., Semmel, D. S., & Semmel, M. I. (1974). Instructional Development for Training Teachers of Exceptional Children: A Sourcebook. Indiana University.
Vennix, J., den Brok, P., & Taconis, R. (2017). Perceptions of STEM-based outreach learning activities in secondary education. Learning Environments Research, 20(1), 21–46. https://doi.org/10.1007/s10984-016-9217-6
Wahyuni, Y. (2017). Identifikasi gaya belajar ( Visual , Auditorial , Universitas Bung Hatta. Jppm, 10(2), 128–132.
Wassahua, S. (2016). Analisis gaya belajar siswa terhadap hasil belajar matematika pada materi himpunan siswa kelas VII SMP negeri karang jaya kecamatan namlea kabupaten buru. Jurnal Matematika Dan Pembelajarannya, 2(1), 84–104.
Weggelaar-Jansen, A. M., Van Wijngaarden, J., & Slaghuis, S. S. (2015). Do quality improvement collaboratives’ educational components match the dominant learning style preferences of the participants? Quality, performance, safety and outcomes. BMC Health Services Research, 15(1), 1–13. https://doi.org/10.1186/s12913-015-0915-z
Yahya, R., Ummah, S. K., & Effendi, M. M. (2020). Pengembangan perangkat pembelajaran flipped classroom bercirikan mini-project [Development of flipped classroom learning tools characterized by mini-projects]. SJME (Supremum Journal of Mathematics Education), 4(1), 78-91.
Yuwono, M. R., & Syaifuddin, M. W. (2017). Pengembangan problem based learning dengan assessment for learning berbantuan smartphone dalam pembelajaran matematika [Development of problem-based learning with smartphone-assisted assessment for learning in mathematics learning]. Beta: Jurnal Tadris Matematika, 10(2), 184–202. https://doi.org/10.20414/betajtm.v10i2.116
Zhang, H., Huang, T., Liu, S., Yin, H., Li, J., Yang, H., & Xia, Y. (2020). A learning style classification approach based on deep belief network for large-scale online education. Journal of Cloud Computing, 9(1). https://doi.org/10.1186/s13677-020-00165-y
Zhang, W., & Zhang, Q. (2010). Ethnomathematics and Its Integration within the Mathematics Curriculum. Journal of Mathematics Education, 3(1), 151–157.
Refbacks
- There are currently no refbacks.

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

