IMPLEMENTASI DESAIN DIDAKTIS PADA MATERI PERSAMAAN DAN PERTIDAKSAMAAN LINIER SATU VARIABEL UNTUK MENINGKATKAN KEMAMPUAN PEMAHAMAN KONSEP MATEMATIKA SISWA

Authors

  • Niki pujarwati Universitas Lampung
  • Tina Yunarti Universitas Lampung
  • Caswita Caswita Universitas Lampung
  • Salsabila Intan Anggraini Universitas Lampung
  • Jihan Tama Farasiska Universitas Lampung

DOI:

https://doi.org/10.24127/ajpm.v15i3.14594

Keywords:

Desain didaktis, desain pembelajaran matematika, kemampuan pemahaman konsep, persamaan linier dan pertidaksamaan linier

Abstract

Penelitian ini bertujuan menganalisis efektivitas implementasi desain didaktis dalam meningkatkan kemampuan pemahaman konsep matematika siswa pada materi persamaan dan pertidaksamaan linear satu variabel (PLSV dan PtLSV). Studi ini dilatarbelakangi oleh rendahnya pemahaman konseptual siswa akibat pembelajaran konvensional yang belum mampu mengatasi learning obstacles pada materi aljabar. Penelitian menggunakan pendekatan kuantitatif dalam kerangka Didactical Design Research (DDR) dengan populasi 233 siswa kelas VII SMP Negeri 26 Bandar Lampung dan sampel 29 siswa yang dipilih secara purposive sampling. Instrumen berupa tes pemahaman konsep yang mencakup indikator menyatakan ulang konsep, mengklasifikasikan objek, menyajikan representasi matematis, memilih dan menggunakan prosedur, serta menerapkan konsep dalam pemecahan masalah. Data dianalisis menggunakan uji Wilcoxon karena distribusi tidak normal. Hasil penelitian menunjukkan peningkatan signifikan kemampuan pemahaman konsep siswa setelah penerapan desain didaktis (Sig. 2-tailed < 0,05), dengan rata-rata skor meningkat dari 30 (pretest) menjadi 67 (posttest). Peningkatan terjadi pada seluruh indikator, capaian tertinggi pada indikator menyatakan ulang konsep, serta tidak ditemukan perbedaan signifikan berdasarkan gender. Hasil ini menunjukkan bahwa desain didaktis yang dikembangkan efektif dalam meningkatkan pemahaman konsep materi PLSV dan PtLSV siswa SMP.

 

This research aimed to analyze the effectiveness of implementing a didactical design in improving students’ conceptual understanding of mathematics on the topic of linear equations and inequalities in one variable (PLSV and PtLSV). The study was motivated by students’ low conceptual understanding resulting from conventional instruction that has not effectively addressed learning obstacles in algebra. A quantitative approach within the Didactical Design Research (DDR) framework was employed, involving a population of 233 seventh-grade students at SMP Negeri 26 Bandar Lampung, with a sample of 29 students selected through purposive sampling. The research instrument was a conceptual understanding test covering indicators of restating concepts, classifying objects, presenting mathematical representations, selecting and applying procedures, and applying concepts in problem-solving. Data were analyzed using the Wilcoxon test due to non-normal distribution. The findings revealed a significant improvement in students’ conceptual understanding after the implementation of the didactical design (Sig. 2-tailed < 0.05), with the mean score increasing from 30 (pretest) to 67 (posttest). Improvement occurred across all indicators, with the highest achievement in restating concepts, and no significant differences were found based on gender. These results indicate that the developed didactical design is effective in enhancing junior high school students’ conceptual understanding of PLSV and PtLSV.

References

Alam, A., & Mohanty, A. (2024). Unveiling the complexities of ‘Abstract Algebra’ in University Mathematics Education (UME): fostering ‘Conceptualization and Understanding’ through advanced pedagogical approaches. Cogent Education, 11(1). 1–24 https://doi.org/10.1080/2331186X.2024.2355400

Al-Mutawah, M. A., Thomas, R., Eid, A., Mahmoud, E. Y., & Fateel, M. J. (2019). Conceptual understanding, procedural knowledge and problem-solving skills in mathematics: High school graduates work analysis and standpoints. International Journal of Education and Practice, 7(3), 258–273. https://doi.org/10.18488/journal.61.2019.73.258.273

Ardiansari, L., Suryadi, D., & Dasari, D. (2023). Desain Didaktis Pembelajaran Matematika untuk Mengatasi Learning Obstacles Siswa SMP dalam Mempelajari Materi Aljabar. JNPM (Jurnal Nasional Pendidikan Matematika), 7(1), 119-128. https://doi.org/10.33603/jnpm.v7i1.7736

De Bruijn-Smolders, M., & Prinsen, F. R. (2024). Effective student engagement with blended learning: A systematic review. Heliyon, 10(23). 1–16. https://doi.org/10.1016/j.heliyon.2024.e39439

Fauziah, E., Lidinillah, D. A. M., & Apriani, I. F. (2023). Obstacle to Learning Algebra in Elementary Schools. AlphaMath : Journal of Mathematics Education, 9(2), 161-168. https://doi.org/10.30595/alphamath.v9i2.18612

Fitriani, N., Kadarisma, G., & Amelia, R. (2020). Pengembangan Desain Didaktis untuk Mengatasi Learning Obstacle Pada Materi Dimensi Tiga. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(2), 231-241 https://doi.org/10.24127/ajpm.v9i2.2686

Fitriani, N., Sugiman, S., & Arfah, A. (2023). Didactical design of algebraic expression from a linear pattern with a realistic mathematics education approach. Jurnal Riset Pendidikan Matematika, 10(1), 1–16. https://doi.org/10.21831/jrpm.v10i1.55212

Hanggara, Y., Sa’dijah, C., & Qohar, A. (2023). Theory and practice of constructive approaches in mathematics learning. CAHAYA PENDIDIKAN, 9(1), 27–34. https://doi.org/10.33373/chypend.v9i1.5127

Khasawneh, E., Hodge-Zickerman, A., York, C. S., Smith, T. J., & Mayall, H. (2022). Examining the effect of inquiry-based learning versus traditional lecture-based learning on students’ achievement in college algebra. International Electronic Journal of Mathematics Education, 18(1), 1-11. https://doi.org/10.29333/iejme/12715

Komala, E., Suryadi, D., & Dasari, D. (2021). Kemampuan Representasi: Implementasi Pengembangan Desain Didaktis Pada Pembelajaran Matematika di Sekolah Menengah Atas. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 2179-2187. https://doi.org/10.24127/ajpm.v10i4.3971

Odum, M., Meaney, K. S., & Knudson, D. V. (2021). Active learning classroom design and student engagement: An exploratory study. Journal of Learning Spaces, 10(1), 27-42.

Ramdhani, S., Suryadi, D., & Prabawanto, S. (2023). Development of Didactic Design for Learning Mathematics in Pesantren: Integration of Mathematics and Fiqh Learning. Mosharafa: Jurnal Pendidikan Matematika, 12(3), 655–666. https://doi.org/10.31980/mosharafa.v12i3.2868

Rayhan, A., & Sudihartinih, E. (2022). Analisis Kesulitan Siswa SMP Pada Pemahaman Konsep Persamaan Linear Satu Variabel (PLSV). EDU-MAT: Jurnal Pendidikan Matematika, 10(2). 334-346. https://doi.org/10.20527/edumat.v10i2.10631

Sari, M. A., Setiadi, G., Rondhi, & Wawan Shokib. (2024). Effectiveness of Using Demonstration and Experiment Methods on Learning Outcomes. Uniglobal Journal of Social Sciences and Humanities, (3), 96–101. https://doi.org/10.53797/ujssh.v3i1.14.2024

Sari, P. (2017). Pemahaman Konsep Matematika Siswa pada Materi Besar Sudut melalui Pendekatan PMRI. Jurnal Gantang, 2(1), 41–50. https://doi.org/10.31629/jg.v2i1.60

Sulastri, L., Abdul, E., & Arhasy, R. (2017). Kajian learning obstacle materi persamaan dan pertidaksamaan linear satu variabel pada pembelajaran matematika di sekolah menengah pertama. Jurnal Penelitian Pendidikan Dan Pengajaran Matematika, 3(2), 151–159. https://api.semanticscholar.org/CorpusID:196207319

Sulistyani, N., Prasojo, L. D., Purnomo, Y. W., Ardhana, S. S., Fitriya, Y., & Putri, Y. D. (2024). Epistemological Didactical Situation of Learning Factors and Multiples in Elementary School Students. MATHEMATICS TEACHING RESEARCH JOURNAL, 16(5), 66-91. https://eric.ed.gov/?id=EJ1464262

Sumintono, B., & Widhiarso, W. (2014). Aplikasi Model Rasch untuk Penelitian Ilmu-Ilmu Sosial (edisi revisi).In Trim Komunikata Publishing House. Trim Komunikata Publishing House.

Sun, S., Sun, D., & Xu, T. (2023). The Developmental Progression of Early Algebraic Thinking of Elementary School Students. Journal of Intelligence, 11(12). 1-19. https://doi.org/10.3390/jintelligence11120222

Susanty, L., Rahmat, T., Fitri, H., & Kunci, K. (2023). Pemahaman Konsep Matematika Siswa Dengan Model Pembelajaran Conceptual Understanding Procedures (CUPs). EDUSAINS : Journal of Education and Science, 1(1).1-8. https://doi.org/10.57255/edusain.v1i1.246

Wicaksono, A., Prabawanto, S., & Suryadi, D. (2024). How students’ obstacle in solving mathematical tasks deal with linear equation in one variabel. Al-Jabar : Jurnal Pendidikan Matematika, 15(1), 33–44. https://doi.org/10.24042/ajpm.v15i1.21137

Yunarti, T., Farasiska, J. T., Pujarwati, N., & Setiawati, S. (2025). Classroom Discourse Analysis in Didactical Design of Linear Equations in One Variable: The Development of Students’ Critical Thinking Skills. Jurnal Absis, 8(2). 382-399. https://doi.org/10.30606/absis.v8i2.3275

Yuniawati, S., Palupi, E. L. W., & Fiangga, S. (2024). Pengembangan e-Comic Matematika Berbasis Pendekatan Matematika Realistik (PMR) pada Materi Persamaan Linear Satu Variabel. MATHEdunesa, 13(2), 576–595. https://doi.org/10.26740/mathedunesa.v13n2.p576-595

Published

31-08-2026

Issue

Section

Articles