Reconceptualising Mathematical Problem Solving and Higher-Order Thinking: A Comparative Analysis of Lesson Study-Based Instruction and Conventional Teaching

Authors

  • Rida Julia Univesitas Majalengka
  • Sudianto Sudianto Universitas Majalengka
  • Dede Salim Nahdi Universitas Majalengka
  • Ujiati Cahyaningsih Universitas Majalengka

DOI:

https://doi.org/10.31949/ijeir.v4i2.15179

Abstract

This study aimed to examine the effect of Lesson Study-based instruction on students’ Higher-Order Thinking Skills (HOTS) and Mathematical Problem-Solving abilities regarding similarity. A quantitative approach with a quasi-experimental nonequivalent control group design was employed. Two intact Grade VIII classes at SMP Negeri 1 Maja, Majalengka Regency, were purposively selected as the experimental group (receiving Lesson Study-based instruction) and the control group (receiving conventional instruction). Data were collected using a validated essay test of six items—three measuring Mathematical Problem-Solving skills based on Polya’s framework and three measuring HOTS aligned with the revised Bloom’s Taxonomy indicators. The test showed high validity and reliability after piloting. Data analysis included normality tests (Shapiro-Wilk), homogeneity of variance tests (Levene’s test), independent samples t-tests to compare post-test and normalized gain (N-gain) scores, and effect size interpretation based on Hake’s classification. The results revealed a significant improvement in both post-test and N-gain scores in the experimental group compared to the control group, indicating that Lesson Study-based instruction effectively enhances students’ advanced cognitive skills in mathematics. This study supports integrating collaborative lesson design and reflective teaching practices in mathematics education to improve problem-solving and higher-order thinking

Keywords:

Lesson Study , Higher-Order Thinking Skills (HOTS) , Mathematical Problem-Solving , Quasi-Experimental Design , Similarity in Mathematics

Downloads

Download data is not yet available.

References

Abdullah, A. H., Fadil, S. S., Tahir, L. M., Abd Rahman, S. N. S., & Hamzah, M. H. (2019). Emerging patterns and problems of higher-order thinking skills (HOTS) mathematical problem-solving in the Form-three assessment (PT3). South African Journal of Education, 39(2), 1–18. https://hdl.handle.net/10520/EJC-168a7bce6f

Alaudin, N., & Missouri, R. (2023). Strategi pembelajaran multidimensional dalam meningkatkan higher order thinking skills (HOTS) di sekolah menengah. Pendiri: Jurnal Riset Pendidikan, 1(1), 34–41. https://ejournal.ranedu.my.id/index.php/pendiri/article/download/47/24

Anderson, L. W., & Krathwohl, D. R. (Eds.). (2001). A taxonomy for learning, teaching, and assessing: A revision of Bloom's taxonomy of educational objectives (Complete edition). Longman.

Apino, E., & Retnawati, H. (2017, February). Developing instructional design to improve mathematical higher order thinking skills of students. In Journal of Physics: Conference Series (Vol. 812, No. 1, p. 012100). IOP Publishing. https://doi.org/10.1088/1742-6596/812/1/012100

Atweh, B., Clarkson, P., & Nebres, B. (2003). Mathematics education in international and global contexts. In Second international handbook of mathematics education (pp. 185–229). https://doi.org/10.1007/978-94-010-0273-8_7

Baptista, M., Conceição, T., & Filipe, J. (2025). Lesson study enhancing pre-service teachers’ learning in STEM education. International Journal for Lesson & Learning Studies, 14(1), 41–54. https://doi.org/10.1108/IJLLS-08-2024-0172

Beddu, S. (2019). Implementasi pembelajaran higher order thinking skills (HOTS) terhadap hasil belajar peserta didik. Jurnal Pemikiran dan Pengembangan Pembelajaran, 1(3), 71–84. http://ejournal-jp3.com/index.php/Pendidikan/article/download/78/57

Brown, K. (2024). Frames of learning: Privileging teacher perspectives for decolonizing lesson study for mathematics teaching. Mathematics Teacher Educator, 12(2), 133–149. https://doi.org/10.5951/MTE.2023-0034

Cohen, L., Manion, L., & Morrison, K. (2018). Research methods in education (8th ed.). Routledge.

Creswell, J. W. (2012). Educational research: Planning, conducting, and evaluating quantitative and qualitative research (4th ed.). Pearson.

Dedy, E., & Sumiaty, E. (2017). Desain didaktis bahan ajar matematika SMP berbasis learning obstacle dan learning trajectory. JRPM (Jurnal Review Pembelajaran Matematika), 2(1), 69–80. https://doi.org/10.15642/jrpm.2017.2.1.69-80

Ding, M., Huang, R., Pressimone Beckowski, C., Li, X., & Li, Y. (2024). A review of lesson study in mathematics education from 2015 to 2022: Implementation and impact. ZDM–Mathematics Education, 56(1), 87–99. https://doi.org/10.1007/s11858-023-01538-8

Doorman, M., Drijvers, P., Dekker, T., van den Heuvel-Panhuizen, M., de Lange, J., & Wijers, M. (2007). Problem solving as a challenge for mathematics education in The Netherlands. ZDM, 39, 405–418. https://doi.org/10.1007/s11858-007-0043-2

Fadilah, R., & Bernard, M. (2021). Analisis kesalahan siswa dalam menyelesaikan masalah matematika kontekstual materi kekongruenan dan kesebangunan. JPMI (Jurnal Pembelajaran Matematika Inovatif), 4(4), 817–826. https://doi.org/10.22460/jpmi.v4i4.p817-826

Fajriah, N., & Asiskawati, E. (2015). Kemampuan berpikir kreatif siswa dalam pembelajaran matematika menggunakan pendekatan pendidikan matematika realistik di SMP. EDU-MAT: Jurnal Pendidikan Matematika, 3(2). http://dx.doi.org/10.20527/edumat.v3i2.643

Fitriyani, F., Sakur, S., & Maimunah, M. (2020). Media pembelajaran matematika berbasis komputer pada materi kesebangunan dan kekongruenan bagi siswa SMP/MTs kelas IX. Juring (Journal for Research in Mathematics Learning), 3(1), 81–90. http://dx.doi.org/10.24014/juring.v3i1.9006

Flanagan, B., Hourigan, M., & Leavy, A. (2024). Implementation of lesson study in the context of STEM education in a rural setting in Ireland: Challenges and opportunities. International Journal for Lesson & Learning Studies, 13(2), 57–70. https://doi.org/10.1108/IJLLS-11-2023-0162

Gholami, H. (2024). The situation of mathematical problem solving and higher order thinking skills in traditional teaching method and lesson study program. Mathematics Teaching Research Journal, 16(3), 241–264. https://eric.ed.gov/?id=EJ1442350

Hake, R. R. (1999). Analyzing change/gain scores. http://www.physics.indiana.edu/~hake/gain.pdf

Hamid, A. (2025). Analisis faktor penyebab miskonsepsi mahasiswa pada materi aljabar: Perspektif kognitif dan pedagogis. Venn: Journal of Sustainable Innovation on Education, Mathematics and Natural Sciences, 4(2), 71–80. https://doi.org/10.53696/venn.v4i2.264

Hansen, N. K., & Hadjerrouit, S. (2023). Mathematical problem-solving by means of computational thinking and programming: A use-modify-create approach. International Association for Development of the Information Society. http://files.eric.ed.gov/fulltext/ED636457.pdf

Herlanti, Y., Nobira, S., Kuboki, Y., & Qumilaila, Q. (2025). Online lesson study design: Integrating environmental issues with science learning to enhance students' environmental literacy. International Journal for Lesson & Learning Studies, 14(1), 27–40. https://doi.org/10.1108/IJLLS-08-2024-0169

Hummes, V. B. (2019). Theory and practice of lesson study in mathematics: An international perspective. Journal of Research in Mathematics Education, 8(3), 339–340. https://doi.org/10.17583/redimat.2019.4789

Iswara, R., Adhi, D. N. N., & Cahyono, N. A. (2019). Kemampuan koneksi matematis siswa melalui model pembelajaran preprospec menggunakan Edmodo. In Prosiding Seminar Nasional Pascasarjana (Vol. 2, No. 1, pp. 274–277). https://proceeding.unnes.ac.id/snpasca/article/download/290/273

Jäder, J., Lithner, J., & Sidenvall, J. (2020). Mathematical problem solving in textbooks from twelve countries. International Journal of Mathematical Education in Science and Technology, 51(7), 1120–1136. https://doi.org/10.1080/0020739X.2019.1656826

Jatisunda, M. G., & Nahdi, D. S. (2019). Kesulitan siswa dalam memahami konsep trigonometri dilihat dari learning obstacles. Jurnal Didactical Mathematics, 2(1), 9–16. https://www.researchgate.net/publication/343185203

Kholid, M. N., Mahmudah, M. H., Ishartono, N., Putra, F. G., & Forthmann, B. (2024). Classification of students’ creative thinking for non-routine mathematical problems. Cogent Education, 11(1), 2394738. https://doi.org/10.1080/2331186X.2024.2394738

Kristiyono, A. (2018). Urgensi dan penerapan higher order thinking skills di sekolah. Jurnal Pendidikan Penabur, 17(31), 36–46. https://bpkpenabur.or.id/media/eoahmbrx/hal-36-46-high-order.pdf

Lewis, C. (2016). How does lesson study improve mathematics instruction? ZDM, 48, 571–580. https://doi.org/10.1007/s11858-016-0792-x

Marques Santinha, F., Onofre, M., & Martins, M. (2024). Lesson studies in physical education – A scoping narrative. International Journal for Lesson & Learning Studies, 13(3), 176–189. https://doi.org/10.1108/IJLLS-10-2023-0144

Ní Shúilleabháin, A. (2016). Developing mathematics teachers’ pedagogical content knowledge in lesson study: Case study findings. International Journal for Lesson and Learning Studies, 5(3), 212–226. https://doi.org/10.1108/IJLLS-11-2015-0036

Prasetyo, D. A. B., & Rudhito, M. A. (2016). Analisis kemampuan dan kesulitan siswa dalam menyelesaikan soal geometri model TIMSS. In Prosiding Seminar Nasional Inovasi Pendidikan (pp. 275–283). https://ifory.id/proceedings/2016/4chQ7E9Cp/snips_2016_dominikus_arif_budi_prasetyo_ab4f6c93dca6af966af91830bcf2160c.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, 15(6), 116–145. https://eric.ed.gov/?id=EJ1417849

Rahmatilah, M. I., Madawistama, S. T., & Kurniawan, D. (2024). Peningkatan higher order thinking skills (HOTS) melalui penguatan kecerdasan emosional siswa. Jurnal Kajian Penelitian Pendidikan dan Kebudayaan, 2(3), 232–241. https://doi.org/10.59031/jkppk.v2i3.473

Rangkuti, A. N. (2014). Konstruktivisme dan pembelajaran matematika. Darul Ilmi: Jurnal Ilmu Kependidikan dan Keislaman, 2(2). https://jurnal.uinsyahada.ac.id/index.php/DI/article/download/416/388

Richit, A., Agranionih, N. T., Zimer, T. T. B., & Neves, R. B. (2024). Professional collaboration in a lesson study with university mathematics professors. International Electronic Journal of Mathematics Education, 19(2). https://doi.org/10.29333/iejme/14290

Santos-Trigo, M. (2020). Problem-solving in mathematics education. In Encyclopedia of mathematics education (pp. 686–693). https://doi.org/10.1007/978-3-030-15789-0_129

Sari, L. S. P., & Rahadi, M. (2014). Pembelajaran berbasis masalah untuk meningkatkan kemampuan komunikasi matematika siswa sekolah menengah pertama. Mosharafa: Jurnal Pendidikan Matematika, 3(3), 143–150. https://doi.org/10.31980/mosharafa.v3i3.318

Shaufia, N., & Ranti, M. G. (2020). Peningkatan hasil belajar siswa MTs pada materi kesebangunan dan kekongruenan melalui model pembelajaran kooperatif tipe jigsaw. AlphaMath: Journal of Mathematics Education, 6(2), 76–85. https://doi.org/10.30595/alphamath.v6i2.7845

Shimizu, Y. (2020). Lesson study in mathematics education. In Encyclopedia of mathematics education (pp. 472–474). https://doi.org/10.1007/978-3-030-15789-0_91

Siew, N. M., & Basari, J. (2024). The integration of problem-based and collaborative learning assisted by Geometer's Sketchpad: Its effects on students' higher-order thinking skills and collaborative skills. Problems of Education in the 21st Century, 82(2), 275–293. https://doi.org/10.33225/pec/24.82.275

Skott, C. K. (2024). Lesson study beyond its initial adaptation: A case without external support. Journal of Mathematics Teacher Education, 27(2), 163–183. https://doi.org/10.1007/s10857-022-09556-1

Solihah, S., Muhtadi, D., & Sukirwan, S. (2025). Kesulitan konseptual dan prosedural siswa SMP dalam materi kesebangunan. Jurnal Inovasi Pembelajaran Matematika: PowerMathEdu, 4(1), 123–140. https://doi.org/10.31980/pme.v4i1.2623

Suwarto, S., Hidayah, I., Rochmad, R., & Masrukan, M. (2023). Intuitive thinking: Perspectives on intuitive thinking processes in mathematical problem solving through a literature review. Cogent Education, 10(2), 2243119. https://doi.org/10.1080/2331186X.2023.2243119

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

Wahyuni, A., Kusumah, Y. S., Martadiputra, B. A. P., & Zafrullah, Z. (2024). Tren penelitian kemampuan pemecahan masalah pada pendidikan matematika: Analisis bibliometrik. JPMI (Jurnal Pembelajaran Matematika Inovatif), 7(2), 337–356. https://doi.org/10.22460/jpmi.v7i2.22329

Ye, H., Ng, O. L., & Cui, Z. (2024). Conceptualizing flexibility in programming-based mathematical problem-solving. Journal of Educational Computing Research, 62(2), 594–619. https://doi.org/10.1177/07356331231209773

Yoshida, M. (2012). Mathematics lesson study in the United States: Current status and ideas for conducting high quality and effective lesson study. International Journal for Lesson and Learning Studies, 1(2), 140–152. https://doi.org/10.1108/20468251211224181

Yun, H., Zhang, Q., Cao, W., & Zhang, X. (2024). Teacher noticing within the context of lesson study: A systematic review and prospective trends. International Journal for Lesson & Learning Studies, 13(4), 361–381. https://doi.org/10.1108/IJLLS-03-2024-0057

Zebua, N. (2024). Studi literatur: Peranan higher order thinking skills dalam proses pembelajaran. Edukasi Elita: Jurnal Inovasi Pendidikan, 1(2), 92–100. https://doi.org/10.62383/edukasi.v1i2.110

Downloads

Abstract Views : 2
Downloads Count: 3

Published

2025-07-27

How to Cite

Julia, R., Sudianto, S., Nahdi, D. S., & Cahyaningsih, U. (2025). Reconceptualising Mathematical Problem Solving and Higher-Order Thinking: A Comparative Analysis of Lesson Study-Based Instruction and Conventional Teaching . International Journal of Educational Innovation and Research, 4(2), 280–288. https://doi.org/10.31949/ijeir.v4i2.15179

Issue

Section

Articles

Similar Articles

1 2 3 4 5 6 7 8 > >> 

You may also start an advanced similarity search for this article.