Enhancing Students’ Mathematical Communication Skills through Reciprocal Teaching

https://doi.org/10.51574/kognitif.v6i2.4729

Authors

  • Jeprizal Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Pahlawan Tuanku Tambusai
  • Zulfah Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Pahlawan Tuanku Tambusai https://orcid.org/0000-0003-2660-9394
  • Astuti Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Pahlawan Tuanku Tambusai https://orcid.org/0000-0003-3730-8255

Keywords:

Mathematical Communication, Mathematics Learning, Quasi-Experimental Design, Reciprocal Teaching

Abstract

Mathematical communication is a key competence in mathematics learning because it enables students to express ideas, justify reasoning, and represent mathematical thinking clearly. This study examined the effect of Reciprocal Teaching on eighth-grade students’ mathematical communication skills at SMP Negeri 1 Bangkinang. A quasi-experimental design with a nonequivalent control group was employed. The participants were divided into an experimental group taught through Reciprocal Teaching and a control group taught through conventional instruction. Data were collected using pretest and posttest measures of mathematical communication skills. The results showed that the experimental group obtained a higher posttest mean score (83.65) than the control group (72.67). The independent samples t-test indicated a significant difference between the two groups, p < .001. The N-gain score of the experimental group was high (0.73), whereas that of the control group was moderate (0.54). The effect size was also large (Cohen’s d = 1.528), indicating that Reciprocal Teaching had a substantial effect on students’ mathematical communication skills. These findings suggest that Reciprocal Teaching can be used as an instructional approach to support mathematical communication in junior secondary mathematics classrooms.

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Author Biographies

Jeprizal, Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Pahlawan Tuanku Tambusai

Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Pahlawan Tuanku Tambusai

Zulfah, Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Pahlawan Tuanku Tambusai

Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Pahlawan Tuanku Tambusai

Astuti, Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Pahlawan Tuanku Tambusai

Mathematics Education Study Program, Faculty of Teacher Training and Education, Universitas Pahlawan Tuanku Tambusai

References

Arifanti, D. R., Raupu, S., Thalhah, S. Z., & Ikram, M. (2024). An Analysis of Students’ Mathematical Reasoning in Solving Probability Problems Judging from Learning Styles: The Converger. Uniciencia, 38(1). https://doi.org/10.15359/ru.38-1.32

Ayu, N. M., Hamdani, H., Sahputra, R., Rif’at, M., & Suratman, D. (2023). Komunikasi matematis lisan, pemahaman konseptual dan motivasi belajar dalam pembelajaran matematika menggunakan media quizizz. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 12(3). https://doi.org/10.24127/ajpm.v12i3.7207

Charalambous, C. Y., Hill, H. C., Chin, M. J., & McGinn, D. (2020). Mathematical content knowledge and knowledge for teaching: exploring their distinguishability and contribution to student learning. In Journal of Mathematics Teacher Education (Vol. 23, Number 6). Springer Netherlands. https://doi.org/10.1007/s10857-019-09443-2

Dominguez, H. (2019). Theorizing reciprocal noticing with non-dominant students in mathematics. Educational Studies in Mathematics, 75–89. https://doi.org/10.1007/s10649-019-09896-5

Dreyfus, T. (2018). Learning Through Activity – Basic research on mathematical cognition. Journal of Mathematical Behavior, 52(November 2017), 216–223. https://doi.org/10.1016/j.jmathb.2018.04.001

Freeman, B., Higgins, K. N., & Horney, M. (2020). How Students Communicate Mathematical Ideas: An Examination of Multimodal Writing Using Digital Technologies. Contemporary Educational Technology, 7(4), 281–313. https://doi.org/10.30935/cedtech/6178

Gulkilik, H., Moyer-Packenham, P. S., Ugurlu, H. H., & Yuruk, N. (2020). Characterizing the growth of one student’s mathematical understanding in a multi-representational learning environment. Journal of Mathematical Behavior, 58(March 2019), 100756. https://doi.org/10.1016/j.jmathb.2020.100756

Güven Akdeniz, D., & Argün, Z. (2021). Learning trajectory of a student with learning disabilities for the concept of length: A teaching experiment. Journal of Mathematical Behavior, 64(October). https://doi.org/10.1016/j.jmathb.2021.100915

Hackenberg, A. J., & Sevinc, S. (2022a). Middle school students’ construction of reciprocal reasoning with unknowns. Journal of Mathematical Behavior, 65(November 2020), 100929. https://doi.org/10.1016/j.jmathb.2021.100929

Hackenberg, A. J., & Sevinc, S. (2022b). Middle school students’ construction of reciprocal reasoning with unknowns. Journal of Mathematical Behavior, 65. https://doi.org/10.1016/j.jmathb.2021.100929

Huang, X., Huang, R., & Bosch, M. (2021). Analyzing a teacher’s learning through cross-cultural collaboration: a praxeological perspective of mathematical knowledge for teaching. Educational Studies in Mathematics, 107(3), 427–446. https://doi.org/10.1007/s10649-021-10057-w

Kadir. (2008). Kemampuan Komunikasi Matematik dan Keterampilan Sosial Siswa dalam Pembelajaran Matematika. Semnas Matematika Dan Pendidikan Matemtatika 2008, 2.

Kang, R., & Liu, D. (2018). The Importance of Multiple Representations of Mathematical Problems: Evidence from Chinese Preservice Elementary Teachers’ Analysis of a Learning Goal. International Journal of Science and Mathematics Education, 16(1), 125–143. https://doi.org/10.1007/s10763-016-9760-8

Kontorovich, I. (2017). Students’ confusions with reciprocal and inverse functions. International Journal of Mathematical Education in Science and Technology, 48(2), 278–284. https://doi.org/10.1080/0020739X.2016.1223361

Krawitz, J., Meyer-Jenßen, L., Krausmüller, K., & Rakoczy, K. (2026). Problem posing and motivation: the effects of posing and solving one’s own modelling problems on autonomy, competence, relatedness, and self-efficacy. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-025-01762-4

Lahdenperä, J., Rämö, J., & Postareff, L. (2022). Student-centred learning environments supporting undergraduate mathematics students to apply regulated learning: A mixed-methods approach. Journal of Mathematical Behavior, 66. https://doi.org/10.1016/j.jmathb.2022.100949

Martínez, S., Guíñez, F., Zamora, R., Bustos, S., & Rodríguez, B. (2020). On the instructional model of a blended learning program for developing mathematical knowledge for teaching. ZDM - Mathematics Education, 52(5), 877–891. https://doi.org/10.1007/s11858-020-01152-y

Marufi, M., Ilyas, M., Ikram, M., & Kaewhanam, P. (2022). Exploration of high school students ’ reasoning in solving trigonometric function problems. 13(2), 231–249.

Mentari, W. N., & Syarifuddin, H. (2020). Improving student engagement by mathematics learning based on contextual teaching and learning. Journal of Physics: Conference Series, 1554(1). https://doi.org/10.1088/1742-6596/1554/1/012003

Muzaini, M., Rahayuningsih, S., & Ikram, M. (2023). The role of student team heroic leadership strategy: mathematical communications of middle school students. Proximal: Jurnal Penelitian Matematika Dan Pendidikan Matematika, 6(2), 142–154.

Nurwita, F., Kusumah, Y. S., & Priatna, N. (2022). Exploring students’ mathematical computational thinking ability in solving pythagorean theorem problems. Al-Jabar : Jurnal Pendidikan Matematika, 13(2). https://doi.org/10.24042/ajpm.v13i2.12496

OECD. (2018). Programme for International Students Assesment (PISA) Result From PISA 2018.

Putri, N. S., Juandi, D., & Jupri, A. (2022). The implementation effect of realistic mathematics education and contextual teaching and learning approaches on the students’ mathematical communication ability: A meta-analysis. Al-Jabar : Jurnal Pendidikan Matematika, 13(2). https://doi.org/10.24042/ajpm.v13i2.13562

Qadry, I. K., Dessa, A., & Aynul, N. (2022). Analisis Kemampuan Literasi Matematika Siswa Dalam Menyelesaikan Soal Pisa Konten Space and Shape Pada Kelas IX SMP Negeri 13 Makassar. Jurnal Matematika Dan Aplikasinya, 2(2).

Rachman, A., & Rosnawati, R. (2021). Efektivitas model pembelajaran creative problem solving ditinjau dari kemampuan penalaran, komunikasi, dan self esteem. Jurnal Riset Pendidikan Matematika, 8(2), 231–243. https://doi.org/10.21831/jrpm.v8i2.34420

Safrudiannur, & Rott, B. (2019). The different mathematics performances in PISA 2012 and a curricula comparison: enriching the comparison by an analysis of the role of problem solving in intended learning processes. Mathematics Education Research Journal, 31(2), 175–195. https://doi.org/10.1007/s13394-018-0248-4

Tohir, M. (2019). Hasil PISA Indonesia Tahun 2018 Turun Dibanding Tahun 2015 (Indonesia’s PISA Results in 2018 are Lower than 2015). Open Science Framework, 2.

Zulkardi, Meryansumayeka, Putri, R. I. I., Alwi, Z., Nusantara, D. S., Ambarita, S. M., Maharani, Y., & Puspitasari, L. (2020). How students work with pisa-like mathematical tasks using covid-19 context. Journal on Mathematics Education, 11(3), 405–416. https://doi.org/10.22342/jme.11.3.12915.405-416

Published

2026-05-10

How to Cite

Jeprizal, J., Zulfah, Z., & Astuti, A. (2026). Enhancing Students’ Mathematical Communication Skills through Reciprocal Teaching. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 6(2), 522–535. https://doi.org/10.51574/kognitif.v6i2.4729