Development of problem solving-based student worksheets (LKPD) to improve mathematical problem-solving abilities and self-efficacy of junior high school students

Authors

  • Evi Triyana Universitas Muhammadiyah Purwokerto, Indonesia
  • Anton Jaelani Universitas Muhammadiyah Purwokerto, Indonesia

DOI:

https://doi.org/10.58524/jasme.v6i1.1086

Keywords:

Mathematical Problem Solving, Self-Efficacy, Student Worksheets (LKPD), Pythagorean Theorem

Abstract

Background: Mathematical problem-solving ability and self-efficacy are important components in mathematics learning because they influence students’ capacity to understand problems, apply strategies, and persist in solving challenging tasks. However, many students still experience difficulties in solving contextual mathematical problems, indicating the need for instructional materials that support both cognitive and affective aspects of learning.

Aims: This study aims to develop problem-solving-based student worksheets (LKPD) integrated with a contextual sports game setting for learning the Pythagorean Theorem and to evaluate their validity, practicality, and effectiveness in improving students’ mathematical problem-solving ability and mathematics self-efficacy.

Method: This study employed a research and development approach using the ADDIE model. The effectiveness of the developed worksheet was examined through a quasi-experimental design involving an experimental group and a control group. Data were collected using expert validation sheets, practicality questionnaires, problem-solving ability tests, and self-efficacy questionnaires, and analyzed using descriptive statistics and independent samples t-tests.

Results: The validation results indicated that the worksheet was highly valid (89.5%), while the practicality test showed that it was very practical (89.67%). The effectiveness analysis revealed a significant difference between the experimental and control groups in both mathematical problem-solving ability (t(55) = −6.021, p < .001) and mathematics self-efficacy (t(55) = −2.648, p = .011).

Conclusion: The problem-solving-based LKPD with a contextual sports setting is valid, practical, and effective for improving students’ mathematical problem-solving ability and self-efficacy in learning the Pythagorean Theorem.

References

Almuna Salgado, F. J. (2017). The role of context and context familiarity on mathematics problems. Revista Latinoamericana de Investigación en Matemática Educativa, 20(3), 265–292. https://doi.org/10.12802/relime.17.2031

Basid, A., Sutrisno, E., & Aliyeva, L. R. (2024). Analysis of the effect of contextual problem solving on students’ mathematical reasoning ability. International Journal of Science and Mathematics Education, 1(3), 24–33. https://doi.org/10.62951/ijsme.v1i3.258

Boaler, J. (1993). The role of contexts in the mathematics classroom: Do they make mathematics more “real”? For the Learning of Mathematics, 13(2), 12–17.

Bray, A., & Tangney, B. (2016). Enhancing student engagement through the affordances of mobile technology: A 21st century learning perspective on realistic mathematics education. Mathematics Education Research Journal, 28(1), 173–197. https://doi.org/10.1007/s13394-015-0158-7

Buffalari, D. (2022). Structured worksheets: Simple active learning strategies to increase transparency and promote communication. Journal of Undergraduate Neuroscience Education, 20(2), A241–A253. https://doi.org/10.59390/VOHJ7109

Evans, T., Thomas, M. O. J., & Klymchuk, S. (2021). Non-routine problem solving through the lens of self-efficacy. Higher Education Research & Development, 40(7), 1403–1420. https://doi.org/10.1080/07294360.2020.1818061

Fadillah, M. A., Usmeldi, U., Festiyed, F., Lufri, L., & Mawardi, M. (2025). Assessment of teaching strategies, utilization of student worksheets, and student engagement in science education. International Journal of Education, Information Technology, and Others, 8(1), 198–207.

Fariz, I. F., Hidayat, S., & Rusdiyani, I. (2025). Developing Google Sites-based e-modules to enhance teachers’ ICT competence at Al Husna Foundation. Al-Ishlah: Jurnal Pendidikan, 17(3), 5568–5579. https://doi.org/10.35445/alishlah.v17i3.7275

Freitas, Y., Abbasi, M., Brito-Costa, S., Pinto, R., Rato, V., & Martins, F. (2025). Enhancing elementary students’ mathematics self-efficacy through applet-based exploratory teaching. Communications in Computer and Information Science, 2480, 233–246. https://doi.org/10.1007/978-3-032-02672-9_18

Gainsburg, J. (2008). Real-world connections in secondary mathematics teaching. Journal of Mathematics Teacher Education, 11(3), 199–219. https://doi.org/10.1007/s10857-007-9070-8

Häkkinen, P., Järvelä, S., Mäkitalo-Siegl, K., Ahonen, A., Näykki, P., & Valtonen, T. (2017). Preparing teacher-students for twenty-first-century learning practices (PREP 21): A framework for enhancing collaborative problem-solving and strategic learning skills. Teachers and Teaching, 23(1), 25–41. https://doi.org/10.1080/13540602.2016.1203772

Hannigan, A., & Lynch, C. D. (2013). Statistical methodology in oral and dental research: Pitfalls and recommendations. Journal of Dentistry, 41(5), 385–392. https://doi.org/10.1016/j.jdent.2013.02.013

Hidayat, W., & Aripin, U. (2023). How to develop an e-LKPD with a scientific approach to achieving students’ mathematical communication abilities? Infinity Journal, 12(1), 85–100. https://doi.org/10.22460/infinity.v12i1.p85-100

Hong, W., Star, J. R., Liu, R.-D., Jiang, R., & Fu, X. (2023). A systematic review of mathematical flexibility: Concepts, measurements, and related research. Educational Psychology Review, 35(4), 104. https://doi.org/10.1007/s10648-023-09825-2

Iñiguez-Berrozpe, T., & Boeren, E. (2020). Twenty-first century skills for all: Adults and problem solving in technology-rich environments. Technology, Knowledge and Learning, 25(4), 929–951. https://doi.org/10.1007/s10758-019-09403-y

Kohen, Z., Amram, M., Dagan, M., & Miranda, T. (2022). Self-efficacy and problem-solving skills in mathematics: The effect of instruction-based dynamic versus static visualization. Interactive Learning Environments, 30(4), 759–778. https://doi.org/10.1080/10494820.2019.1683588

Mulqueeny, K., Kostyuk, V., Baker, R. S., & Ocumpaugh, J. (2015). Incorporating effective e-learning principles to improve student engagement in middle-school mathematics. International Journal of STEM Education, 2(1), 15. https://doi.org/10.1186/s40594-015-0028-6

Musdi, E., Deciku, B., & Rusyda, N. A. (2024). Mathematics learning tools based on problem-based learning (PBL) to increase mathematical problem-solving ability students. AIP Conference Proceedings, 3024(1). https://doi.org/10.1063/5.0204531

Ncube, M., & Luneta, K. (2024). Concept-based instruction: Improving learner performance in mathematics through conceptual understanding. Pythagoras, 46(1), 815. https://doi.org/10.4102/pythagoras.v46i1.815

Noviyana, H., & Ab, J. S. (2025). Effectiveness of LKPD containing character education based on group investigation in mathematics learning. Jurnal Inovasi Matematika, 7(1), 39–47. https://doi.org/10.35438/inomatika.v7i1.492

Olivares, D., Lupiáñez, J. L., & Segovia, I. (2021). Roles and characteristics of problem solving in the mathematics curriculum: A review. International Journal of Mathematical Education in Science and Technology, 52(7), 1079–1096. https://doi.org/10.1080/0020739X.2020.1738579

Öztürk, M., Sarikaya, İ., & Ada Yıldız, K. (2024). Middle school students’ problem solving performance: Identifying the factors that influence it. International Journal of Science and Mathematics Education, 22(6), 1363–1379. https://doi.org/10.1007/s10763-023-10423-5

Pajares, F. (1996). Self-efficacy beliefs in academic settings. Review of Educational Research, 66(4), 543–578. https://doi.org/10.3102/00346543066004543

Polman, J., Hornstra, L., & Volman, M. (2021). The meaning of meaningful learning in mathematics in upper-primary education. Learning Environments Research, 24(3), 469–486. https://doi.org/10.1007/s10984-020-09337-8

Rittle-Johnson, B., & Koedinger, K. R. (2005). Designing knowledge scaffolds to support mathematical problem solving. Cognition and Instruction, 23(3), 313–349. https://doi.org/10.1207/s1532690xci2303_1

Russell, J. L., DiNapoli, J., & Murray, E. (2022). Documenting professional learning focused on implementing high-quality instructional materials in mathematics: The AIM–TRU learning cycle. International Journal of STEM Education, 9(1), 46. https://doi.org/10.1186/s40594-022-00362-y

Şahinkaya, N., Özcan, Z. Ç., & Obalar, S. (2024). Visualizing math word problems: Impact on first-grade students’ problem-solving performance. Mathematics Teaching-Research Journal, 16(3), 146–163.

Sari, C. K., Dwiyani, E., Machromah, I. U., Toyib, M., & Sari, D. N. V. (2022). Enhancing students’ critical thinking by integrating contextual problems worksheets on problem-based learning. Journal of Education Action Research, 6(1), 109–115. https://doi.org/10.23887/jear.v6i1.43392

Sinaga, B., Sitorus, J., & Situmeang, T. (2023). The influence of students’ problem-solving understanding and results of students’ mathematics learning. Frontiers in Education, 8. https://doi.org/10.3389/feduc.2023.1088556

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.

Stevens, T., Olivarez, A., Lan, W. Y., & Tallent-Runnels, M. K. (2004). Role of mathematics self-efficacy and motivation in mathematics performance across ethnicity. The Journal of Educational Research, 97(4), 208–222. https://doi.org/10.3200/JOER.97.4.208-222

Sugianto, R., Syaifuddin, M., & Cholily, Y. M. (2022). Development of e-LKPD oriented minimum competency assessment (MCA) on 6C’s ability of high school students. Al-Jabar: Jurnal Pendidikan Matematika, 13(2), 433–453. https://doi.org/10.24042/ajpm.v13i2.15559

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

Vale, I., & Barbosa, A. (2023). Active learning strategies for an effective mathematics teaching and learning. European Journal of Science and Mathematics Education, 11(3), 573–588. https://doi.org/10.30935/scimath/13135

Voica, C., Singer, F. M., & Stan, E. (2020). How are motivation and self-efficacy interacting in problem-solving and problem-posing? Educational Studies in Mathematics, 105(3), 487–517. https://doi.org/10.1007/s10649-020-10005-0

Wahyuni, S., Mustika, J., & Saputri, W. A. (2025). Potential effects of ethnomathematics-based worksheets and a realistic approach on problem-solving abilities. AIP Conference Proceedings, 3316(1). https://doi.org/10.1063/5.0291328

Wedana, I. W. W., Viyanti, V., & Permadi, D. (2025). Development of e-LKPD based on android-assisted problem-based learning to improve critical thinking ability of learners. Journal of Physics: Conference Series, 3132(1), 012028. https://doi.org/10.1088/1742-6596/3132/1/012028

Widodo, S. A., Wijayanti, A., Irfan, M., Pusporini, W., Mariah, S., & Rochmiyati, S. (2023). Effects of worksheets on problem-solving skills: Meta-analytic studies. International Journal of Educational Methodology, 9(1), 151–167.

Yanto, F. (2019). Development of problem-based student worksheet with authentic assessment to improve student’s physics problem solving ability. Journal of Physics: Conference Series, 1185(1), 012075. https://doi.org/10.1088/1742-6596/1185/1/012075

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Published

2026-03-10