Structural Equation Modeling Method to Analyze the Influence of Learning Style, Mathematics Resilience, and Learning Motivation on Mathematical Problem-Solving Ability
(1) Universitas Islam Negeri Jurai Siwo Lampung
(2) Universitas Islam Negeri Jurai Siwo Lampung
(3) Universitas Islam Negeri Jurai Siwo Lampung
(4) Universitas Islam Negeri Jurai Siwo Lampung
(5) University of Technology Sydney
(*) Corresponding Author
Abstract
Abstract
This study aimed to analyze the influence of learning styles, mathematics resilience, and learning motivation on elementary school students’ mathematical problem-solving abilities. The research involved 131 students from three elementary schools in Metro and East Lampung, Indonesia and employed Structural Equation Modeling (SEM) for data analysis. The results showed that all three variables significantly affected students' mathematical problem-solving abilities. Learning motivation had the strongest influence (C.R = 1.880, p = 0.034), followed by mathematics resilience (C.R = 1.754, p = 0.045) and learning style (C.R = 1.729, p = 0.040). The three variables collectively contributed 78.3% to the variance in students' mathematical problem-solving abilities, indicating a strong overall effect. These findings suggest that enhancing students’ learning motivation, building mathematical resilience, and aligning teaching methods with students’ learning styles are effective strategies to improve their mathematical problem-solving performance. The study recommends the implementation of adaptive and inclusive teaching approaches that consider cognitive and psychological factors in elementary mathematics education.
Keywords: SEM method, learning style, mathematics resilience, learning motivation, problem-solving ability.
Abstrak
Penelitian ini bertujuan untuk menganalisis pengaruh gaya belajar, ketahanan matematika, dan motivasi belajar terhadap kemampuan pemecahan masalah matematika siswa sekolah dasar. Penelitian ini melibatkan 131 siswa dari tiga sekolah dasar di Metro dan Lampung Timur, Indonesia dan menggunakan Structural Equation Modeling (SEM) untuk analisis data. Hasil penelitian menunjukkan bahwa ketiga variabel tersebut secara signifikan memengaruhi kemampuan pemecahan masalah matematika siswa. Motivasi belajar memiliki pengaruh paling kuat (C.R = 1,880, p = 0,034), diikuti oleh ketahanan matematika (C.R = 1,754, p = 0,045) dan gaya belajar (C.R = 1,729, p = 0,040). Ketiga variabel tersebut secara kolektif memberikan kontribusi sebesar 78,3% terhadap varians kemampuan pemecahan masalah matematika siswa, yang menunjukkan efek keseluruhan yang kuat. Temuan ini menunjukkan bahwa peningkatan motivasi belajar siswa, membangun ketahanan matematika, dan menyelaraskan metode pengajaran dengan gaya belajar siswa merupakan strategi yang efektif untuk meningkatkan kinerja pemecahan masalah matematika mereka. Penelitian ini merekomendasikan penerapan pendekatan pengajaran yang adaptif dan inklusif yang mempertimbangkan faktor kognitif dan psikologis dalam pembelajaran matematika di sekolah dasar.
Kata kunci: metode SEM, gaya belajar, ketahanan matematika, motivasi belajar, kemampuan memecahkan masalah.
References
Ali, M. M., Hariyati, T., Pratiwi, M. Y., & Afifah, S. (2022). Metodologi Penelitian Kuantitatif dan Penerapannya dalam Penelitian. JPIB: Jurnal Penelitian Ibnu Rusyd, 1(2), 1–5. Diambil dari https://ojs.stai-ibnurusyd.ac.id/index.php/jpib/article/view/86.
Almulla, M. A., & Al-Rahmi, W. M. (2023). Integrated Social Cognitive Theory with Learning Input Factors: The Effects of Problem-Solving Skills and Critical Thinking Skills on Learning Performance Sustainability. Sustainability, 15(5), 3978. https://doi.org/10.3390/su15053978
Almusaed, A., Almssad, A., Yitmen, I., & Homod, R. Z. (2023). Enhancing Student Engagement: Harnessing “AIED”’s Power in Hybrid Education—A Review Analysis. Education Sciences, 13(7), 632. https://doi.org/10.3390/educsci13070632
Amalina, I. K., & Vidákovich, T. (2023). Cognitive and socioeconomic factors that influence the mathematical problem-solving skills of students. Heliyon, 9(9), e19539. https://doi.org/10.1016/j.heliyon.2023.e19539
Attami, D., Budiyono, & Indriati, D. (2020). Mathematical resilience and mathematical problem-solving ability in Junior High School. Journal of Physics: Conference Series, 1613(1), 012028. https://doi.org/10.1088/1742-6596/1613/1/012028
Berger, M. (2019). Different reading styles for mathematics text. Educational Studies in Mathematics, 100(2), 139–159. https://doi.org/10.1007/s10649-018-9871-y
Bhat, M. A. (2014). The Effect of Learning Styles on Problem Solving Ability among High School Students. International Journal Advances in Social Science and Humanities, 2(7).
Boaler, J. (2019). Limitless Mind: Learn, Lead, and Live Without Barriers. San Francisco: CA HarperOne.
Bolat, R. C., & Arslan, Ç. (2024). Examination of mathematics teachers’ strategic flexibility in solving mathematical problems. Thinking Skills and Creativity, 54, 101679. https://doi.org/10.1016/j.tsc.2024.101679
Cardino, J. M., & Ortega-Dela Cruz, R. A. (2020). Understanding of learning styles and teaching strategies towards improving the teaching and learning of mathematics. Lumat: International Journal on Math, Science and Technology Education, 8(1). https://doi.org/10.31129/LUMAT.8.1.1348
Chiang, J.-L., Yeh, Y., & Lee, J.-Y. (2024). Exploring the development of adolescents’ scientific creativity among science fair winners through the lens of resilience. Thinking Skills and Creativity, 54, 101647. https://doi.org/10.1016/j.tsc.2024.101647
Eligio, U. X. (2017). Understanding Emotions in Mathematical Thinking and Learning. Elsevier. https://doi.org/10.1016/C2014-0-02036-9
Elliot, A. J., & Sommet, N. (2023). Integration in the Achievement Motivation Literature and the Hierarchical Model of Achievement Motivation. Educational Psychology Review, 35(3), 77. https://doi.org/10.1007/s10648-023-09785-7
El-Sabagh, H. A. (2021). Adaptive e-learning environment based on learning styles and its impact on development students’ engagement. International Journal of Educational Technology in Higher Education, 18(1), 53. https://doi.org/10.1186/s41239-021-00289-4
Fatimah, Ms., Nurhidayah, Ms., Ahmad, H., Febryanti, Ms., & P., M. A. (2019). Effect of Motivation and Gender on Problem-solving in Student Mathematics. Proceedings of the 1st International Conference on Advanced Multidisciplinary Research (ICAMR 2018). Presented at the Proceedings of the 1st International Conference on Advanced Multidisciplinary Research (ICAMR 2018), Makassar, Indonesia. Makassar, Indonesia: Atlantis Press. https://doi.org/10.2991/icamr-18.2019.26
Fitriya, Y., Sari, F. P., & Yudianto, A. (2024). Blended learning and MOOCs: A New Generation Education System: by Manpreet Singh Manna, Balamurugan Balusamy, Meenakshi Sharma and Prithi Samuel, New York, NY, Routledge, 2023, 168pp., € 33,29 (e-book), ISBN 978-1-003-30773-0. Asia Pacific Journal of Education, 1–4. https://doi.org/10.1080/02188791.2024.2408824
Garcia, E. B., Woodbridge, M. W., Sumi, W. C., Thornton, S. P., Nakamura, J., Wei, X., … Daunic, A. P. (2024). Effects of the Tools for Getting Along Curriculum on teachers’ reports of elementary students’ executive functions, social-emotional skills, and behavior problems. Social and Emotional Learning: Research, Practice, and Policy, 4, 100070. https://doi.org/10.1016/j.sel.2024.100070
Ginting, R. R. B., & Usiono. (2024). Systematic Literature Review (Slr): Penggunaan Bahasa Indonesia Yang Baik Dan Benar Dalam Kehidupan Sehari – Hari. Jurnal Sains Student Research, 2(6). https://doi.org/10.61722/jssr.v2i6.3007
Hair, J. F., Black, W. C., Babin, B. J., & Anderson, R. E. (2019). Multivariate data analysis (Eighth edition). Andover, Hampshire: Cengage.
Harokah, S., Wibowo, S. E., Sudigdo, A., Yudianto, A., & Wulansari, I. Y. (2024). The Effectiveness of Problem-Based Learning Methods in Improving Prospective Elementary School Teachers’ Critical Thinking Skills. Al Ibtida: Jurnal Pendidikan Guru MI, 11(1). https://doi.org/10.24235/al.ibtida.snj.v11i1.14104
Jang, H., Kim, E. J., & Reeve, J. (2016). Why students become more engaged or more disengaged during the semester: A self-determination theory dual-process model. Learning and Instruction, 43, 27–38. https://doi.org/10.1016/j.learninstruc.2016.01.002
Johar, R., Harnita, F., Sasaki, D., & Oktari, R. S. (2025). Incorporating disaster context into mathematical problem-solving abilities: The role of cognitive and affective needs. International Journal of Disaster Risk Reduction, 116, 105083. https://doi.org/10.1016/j.ijdrr.2024.105083
Johnston-Wilder, S., Pardoe, S., Almehrz, H., Evans, B., Marsh, J., & Richards, S. (2016, November). Developing Teaching For Mathematical Resilience In Further Education. 3019–3028. Seville, Spain. https://doi.org/10.21125/iceri.2016.1652
Joo, Y. J., So, H.-J., & Kim, N. H. (2018). Examination of relationships among students’ self-determination, technology acceptance, satisfaction, and continuance intention to use K-MOOCs. Computers & Education, 122, 260–272. https://doi.org/10.1016/j.compedu.2018.01.003
Joswick, C., Skultety, L., & Olsen, A. A. (2023). Mathematics, Learning Disabilities, and Learning Styles: A Review of Perspectives Published by the National Council of Teachers of Mathematics. Education Sciences, 13(10), 1023. https://doi.org/10.3390/educsci13101023
Junaidi. (2021). Aplikasi Amos dan Structural Equation Modeling (Sem). Makasasar: UPT Unhas Press.
Khumalo, V. L., Van Staden, S., & Graham, M. A. (2022). Weathering the storm: Learning strategies that promote mathematical resilience. Pythagoras, 43(1). https://doi.org/10.4102/pythagoras.v43i1.655
Kwangmuang, P., Jarutkamolpong, S., Duangngern, P., Gessala, N., & Sarakan, P. (2024). Promoting analytical thinking skills development in elementary school students through animated cartoons. Computers in Human Behavior Reports, 15, 100467. https://doi.org/10.1016/j.chbr.2024.100467
Lee, C., & Johnston-Wilder, S. (2010). The Construct Mathematical Resilience.
Li, H. (2017). The ‘secrets’ of Chinese students’ academic success: Academic resilience among students from highly competitive academic environments. Educational Psychology, 37(8), 1001–1014. https://doi.org/10.1080/01443410.2017.1322179
Mann, D. S. (2013). Research Methods for Business: A Skill-Building Approach. Leadership & Organization Development Journal, 34(7). https://doi.org/10.1108/LODJ-06-2013-0079
Mdhlalose, D., & Mlambo, G. (2023). Integration of Technology in Education and its Impact on Learning and Teaching. Asian Journal of Education and Social Studies, 47(2), 54–63. https://doi.org/10.9734/ajess/2023/v47i21021
Morris, L. S., Grehl, M. M., Rutter, S. B., Mehta, M., & Westwater, M. L. (2022). On what motivates us: A detailed review of intrinsic v. extrinsic motivation. Psychological Medicine, 52(10), 1801–1816. https://doi.org/10.1017/S0033291722001611
Mueller, R. O., & Hancock, G. R. (2018). Structural Equation Modeling. In The Reviewer’s Guide to Quantitative Methods in the Social Sciences (2nd ed.). United States of America: Routledge.
Mullis, I. V. S., Martin, M. O., Kennedy, A. M., Trong, K. L., & Sainsburry, M. (2020). Methods and Procedures: TIMSS 2019 Technical Report. Chestnut Hill, MA: TIMSS & PIRLS International Study Center.
Mulyadi, E., Wibisono, A., & Herli, M. (2021). Penerapan Structural Equation Modelling Pada Pelatihan dan Komitmen Organisasi Bidan Puskesmas. Jurnal Economic Resource, 2(1), 46–60. https://doi.org/10.33096/jer.v2i1.240
Muriyah, M., Wahyuni, S., & Saleh, M. (2023). The Effectiveness of Online Problem-Based Learning in Improving Students’ Reading Comprehension with Different Learning Styles. English Education Journal, 13(1), 93–104. https://doi.org/10.15294/eej.v13i1.71110
National Council of Teachers of Mathematics (Ed.). (2000). Principles and standards for school mathematics (4. print). Reston, Va: National Council of Teachers of Mathematics.
Negara, H. S., Nurlova, F., & Hidayati, A. U. (2021). Analisis Kemampuan Pemecahan Masalah Matematika Ditinjau Dari Gaya Belajar Peserta Didik di Sekolah Dasar. Terampil: Jurnal Pendidikan dan Pembelajaran Dasar, 8(1), 83–90. https://doi.org/10.24042/terampil.v8i1.9648
Putlely, Z., Lesnussa, Y. A., Wattimena, A. Z., & Matdoan, M. Y. (2021). Structural Equation Modeling (SEM) untuk Mengukur Pengaruh Pelayanan, Harga, dan Keselamatan terhadap Tingkat Kepuasan Pengguna Jasa Angkutan Umum Selama Pandemi Covid-19 di Kota Ambon. Indonesian Journal of Applied Statistics, 4(1), 1. https://doi.org/10.13057/ijas.v4i1.45784
Rahmah, A. T., Aniswita, A., & Fitri, H. (2020). Pengaruh Motivasi Belajar Siswa Terhadap Kemampuan Pemecahan Masalah Matematika Siswa Di Kelas Viii Mtsn 3 Agam Tahun Pelajaran 2018/2019. Jurnal Ilmiah Pendidikan Matematika Al Qalasadi, 4(1), 56–62. https://doi.org/10.32505/qalasadi.v4i1.1174
Robi, M., Kusnandar, D., & Sulistianingsih, E. (2017). Penerapan Structural Equation Modeling (Sem) Untuk Analisis Kompetensi Alumni. Bimaster: Buletin Ilmiah Matematika, Statistika dan Terapannya, 6(2). https://doi.org/10.26418/bbimst.v6i02.21621
Rogowsky, B. A., Calhoun, B. M., & Tallal, P. (2020). Providing Instruction Based on Students’ Learning Style Preferences Does Not Improve Learning. Frontiers in Psychology, 11, 164. https://doi.org/10.3389/fpsyg.2020.00164
Rojas, M., Nussbaum, M., Chiuminatto, P., Guerrero, O., Greiff, S., Krieger, F., & Van Der Westhuizen, L. (2021). Assessing collaborative problem-solving skills among elementary school students. Computers & Education, 175, 104313. https://doi.org/10.1016/j.compedu.2021.104313
Ryan, R. M., & Deci, E. L. (2020). Intrinsic and extrinsic motivation from a self-determination theory perspective: Definitions, theory, practices, and future directions. Contemporary Educational Psychology, 61, 101860. https://doi.org/10.1016/j.cedpsych.2020.101860
Schäfer, J., Reuter, T., Leuchter, M., & Karbach, J. (2024). Executive functions and problem-solving—The contribution of inhibition, working memory, and cognitive flexibility to science problem-solving performance in elementary school students. Journal of Experimental Child Psychology, 244, 105962. https://doi.org/10.1016/j.jecp.2024.105962
Schreiber, I., & Ashkenazi, H. (2024). The impact of various teaching methods on the knowledge of students of different genders: The case of mathematics word problems abstract. Heliyon, 10(16), e35610. https://doi.org/10.1016/j.heliyon.2024.e35610
Schunk, D. H., & Greene, J. A. (Eds.). (2018). Handbook of Self-Regulation of Learning and Performance (Second edition). New York, NY: Routledge, Taylor & Francis Group.
Smith, C. E., & Cribbie, R. A. (2013). Multiplicity Control in Structural Equation Modeling: Incorporating Parameter Dependencies. Structural Equation Modeling: A Multidisciplinary Journal, 20(1), 79–85. https://doi.org/10.1080/10705511.2013.742385
Son, A. L., Darhim, D., & Fatimah, S. (2020). Students’ Mathematical Problem-Solving Ability Based On Teaching Models Intervention And Cognitive Style. Journal on Mathematics Education, 11(2), 209–222. https://doi.org/10.22342/jme.11.2.10744.209-222
Sugiyono. (2019). Metode penelitian pendidikan (kuantitatif, kualitatif, kombinasi, RnD, dan penelitian pendidikan) (3rd ed.). Bandung: Alfabeta.
Surya, E., Putri, F. A., & Mukhtar, M. (2016). Improving Mathematical Problem-Solving Ability And Self-Confidence Of High School Students Through Contextual Learning Model. Journal on Mathematics Education, 8(1), 85–94. https://doi.org/10.22342/jme.8.1.3324.85-94
Szabo, Z. K., Körtesi, P., Guncaga, J., Szabo, D., & Neag, R. (2020). Examples of Problem-Solving Strategies in Mathematics Education Supporting the Sustainability of 21st-Century Skills. Sustainability, 12(23), 10113. https://doi.org/10.3390/su122310113
Van Hooijdonk, M., Mainhard, T., Kroesbergen, E. H., & Van Tartwijk, J. (2024). Can elementary school teachers assess students’ creative problem solving abilities? Teaching and Teacher Education, 146, 104644. https://doi.org/10.1016/j.tate.2024.104644
Wahyuni, N., Mulyono, D., & Mawardi, D. N. (2024). Kemampuan Pemecahan Masalah Matematika Siswa Melalui Model Problem Based Learning Berbantuan Media Pembelajaran Scratch. Jurnal Penelitian Pembelajaran Matematika Sekolah (JP2MS), 8(2). https://doi.org/10.33369/jp2ms.8.2.153-166
Waluyo, M., & W, M. R. (2020). Mudah Cepat Tepat Dalam Aplikasi Structural Equation Modeling (Edisi Revisi). Malang, Indonesia: Literasi Nusantara.
Xenofontos, C., & Mouroutsou, S. (2023). Resilience in mathematics education research: A systematic review of empirical studies. Scandinavian Journal of Educational Research, 67(7), 1041–1055. https://doi.org/10.1080/00313831.2022.2115132
Yang, S., & Wang, W. (2022). The Role of Academic Resilience, Motivational Intensity and Their Relationship in EFL Learners’ Academic Achievement. Frontiers in Psychology, 12, 823537. https://doi.org/10.3389/fpsyg.2021.823537
Yeager, D. S., & Dweck, C. S. (2020). What can be learned from growth mindset controversies? American Psychologist, 75(9), 1269–1284. https://doi.org/10.1037/amp0000794
Yuliani, T., & Cathrin, S. (2024). Enhancing Students Lower Mathematics Cognitive Ability Using Multi-Representation Discursive Model Assisted by Realistic Mathematics Education Approach in Elementary School. Al Ibtida: Jurnal Pendidikan Guru MI, 11(2), 286. https://doi.org/10.24235/al.ibtida.snj.v11i2.18367
Yuniar, S., Nafiah, M., & Siregar, R. (2022). Hubungan antara Resiliensi Matematis dan Kemampuan Pemecahan Masalah Matematika Siswa di Sekolah Dasar. Edukatif: Jurnal Ilmu Pendidikan, 4(3), 4124–4131. https://doi.org/10.31004/edukatif.v4i3.2666
DOI: 10.24235/al.ibtida.snj.v12i1.19959
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