Enhancing Mathematical Communication Skills in Linear Algebra Through the Talking Stick Learning Model

Vivianti Vivianti (1), Dwi Ratnawati (2), Oktavia Hardiyantari (3), Dian Wahyuningsih (4)
(1) Universitas Teknologi Yogyakarta, ID Indonesia,
(2) Universitas Teknologi Yogyakarta, ID Indonesia,
(3) Universitas Teknologi Yogyakarta, ID Indonesia,
(4) University of Southampton, GB United Kingdom

Abstract

Background. Mathematical communication competence is essential for Information Technology Education students, particularly in articulating linear algebra concepts underlying core IT domains such as data structures, algorithms, and programming.


Purpose. This study examines changes in students’ mathematical communication skills and learning outcomes following implementation of the Talking Stick method, integrated with Flippity a digital random name picker in a Linear Algebra and Matrix course focusing on solving Linear Systems of Equations using Elementary Row Operations.


Method. This study employed a pre-experimental one-group pretest–posttest design supported by classroom observation, measuring learning outcomes via pretest and posttest instruments. Data were analyzed using a paired-samples t-test and normalized gain (N-gain) analysis, with observational data analyzed descriptively. The study involved 18 undergraduate students in the Linear Algebra and Matrix course, selected through total sampling.


Results. Observations indicate that the Talking Stick model fosters an active classroom atmosphere, peer interaction, and engagement. Statistical testing revealed a significant difference between pretest and posttest scores in mathematical communication ability (t(17) = ?4.826, p < .001), with the mean increasing from 2.5139 to 3.1028 and a large effect size (Cohen's d = 1.14), alongside a high N-gain of 0.898 in solving Linear Equation Systems through Elementary Row Operations.


Conclusion. This research concludes that communication-based teaching-learning strengthens mathematical understanding and communication competencies among pre-service IT teachers through active explanation and classroom interaction.

Full text article

Generated from XML file

References

Astuti, A., & Leonard. (2012). Peran Kemampuan Komunikasi Matematika Terhadap Prestasi Belajar Matematika Siswa. Jurnal Formatif, 2(2), 102–110. https://doi.org/10.30998/formatif.v2i2.91

Aswadi, M. K., Daulay, M. I., Witarsa, R., Fadhilaturrahmi, & Marta, R. (2025). Penerapan Model Pembelajaran Kooperatif Tipe Talking Stick untuk Meningkatkan Kemampuan Berpikir Kritis Siswa di Sekolah Dasar. Pendas: Jurnal Ilmiah Pendidikan Dasar, 10(03), 942–954. https://doi.org/10.23969/jp.v10i03.31812

Azis, A., Hilmy, M., & Erawati, D. (2025). Integrasi Media dalam Pembelajaran: Pendekatan Konstruktivisme Vygotsky. Anterior Jurnal, 24(3), 1–7. https://doi.org/10.33084/anterior.v24i3.9726

BAN-PT. (2022). Standar nasional pendidikan tinggi dan kriteria akreditasi program studi pendidikan teknologi informasi [National standards for higher education and accreditation criteria for information technology education programs]. Badan Akreditasi Nasional Perguruan Tinggi.

Biber, M. (2023). Constructing Mental Models: Mathematical Communication and Discourses in Conceptual Understanding. Necmettin Erbakan Üniversitesi Ere?li E?itim Fakültesi Dergisi, 5, 271–305. https://doi.org/10.51119/ereegf.2023.45

Bormayanti, H., & Rafianti, W. R. (2024). Upaya Meningkatkan Aktivitas dan Keterampilan Berpikir Kritis Siswa Kelas V terhadap Muatan IPS Menggunakan Kombinasi Model Pembelajaran PBL, Talking Stick dan Scramble. Ainara Journal, 5(4), 443–449. https://doi.org/10.54371/ainj.v5i4.616

Firdian, F., & Rahmelina, L. (2025). Efektivitas Computer-Supported Collaborative Learning Berbasis Peer Assessment dalam Peningkatan Metakognitif Mahasiswa. Jurnal Pendidikan Tambusai, 9(1), 11677–11685. https://doi.org/10.31004/jptam.v9i1.26577

Goos, M. (2002). Understanding metacognitive failure. The Journal of Mathematical Behavior, 21(3), 283–302. https://doi.org/10.1016/S0732-3123(02)00130-X

Gultom, D. A. (2024). Implementasi Model Pembelajaran Berbasis Konstruktivisme untuk Meningkatkan Kemampuan Komunikasi Matematik dan Kemandirian Siswa. NUCLEUS, 5(1), 23–28. https://doi.org/10.37010/nuc.v5i1.1509

Hajar, S., Ulfa, S. M., Pieter, J., & Victoria, P. (2026). Cara Jitu Menguasai SPSS dalam Pembelajaran Fisika. CV Eureka Media Aksara.

Halimatussa’diyah, M., Widyaningsih, S. W., & Yusuf, I. (2018). Effect of Cooperative Learning Model Types of Stick Talking Using Simple Props to Higher Order Thinking Skill. Kasuari: Physics Education Journal, 1(2), 73–82. https://doi.org/10.37891/kpej.v1i2.27

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

Hartina, St. (2020). Talking Sticks as a Technique to Stimulate the Students’ Speaking Performance in EFL Classroom. IDEAS: Journal on English Language Teaching and Learning, Linguistics and Literature, 8(1), 116–125. https://doi.org/10.24256/ideas.v8i1.1317

Hayati, R., & Husnidar. (2022). Studi Kepustakaan: Keterkaitan Kemampuan Komunikasi Matematis Model Problem Based Learning dan Teori Kontstruktivisme. Variasi: Majalah Ilmiah Universitas Almuslim, 14(3), 179–185. https://doi.org/10.24256/ideas.v8i1.1317

Hendriana, H. (2020). Pendekatan Metaphorical Thinking untuk Meningkatkan Kemampuan Komunikasi Matematik dan Kepercayaan Diri Siswa. Pasundan Journal of Mathematics Education, 1(1), 18–29. https://doi.org/10.23969/pjme.v1i1.2362

Iano, T. R., Hadiyanto, H., & Sulastri, S. (2025). Pentingnya Komunikasi Efektif untuk Mendukung Pemberdayaan Guru di Sekolah: Sebuah Kajian Literatur. Syntax Literate, 10(3), 3373–3385. https://doi.org/10.36418/syntax-literate.v10i3.56326

Inganah, S., Darmayanti, R., & Rizki, N. (2023). Problems, Solutions, and Expectations: 6C Integration of 21st Century Education into Learning Mathematics. JEMS (Journal of Mathematics and Science Education), 11(1), 220–238. https://doi.org/10.25273/jems.v11i1.14646

Istiqomah, S. N. (2023). Effect of Using Cooperative Model Think Talk Write Type and Think Pair Share Type with Talking Stick Strategy on Student Learning Outcomes. Journal of Social Knowledge Education (JSKE), 4(1), 1–10. https://doi.org/10.37251/jske.v4i1.420

Juhansar, J., Sutopo, J., Sudiro, S., Aji, A. S., & Pabbajah, M. (2025). Beyond distraction: Developing a gamified smartphone for active learning-teaching through the DACDUA philosophical model. XLinguae, 18(3), 144–165. https://doi.org/10.18355/xl.2025.18.03.10

Juhansar, J., Majaya, B. T., Kamsinah, K., & Budiarti, B. (2023). Enhancing EFL learners’ conjunction proficiency in recount writing: An analytical study. Eternal: English, Teaching, Learning, and Research Journal, 9(2), 145–172. https://doi.org/10.24252/eternal.v92.2023.a8

Khadka, J. B. (2024). Role of Mathematical Communication for Learning Mathematics. Journal of Education Research and Innovation, 4(1), 68–76. https://doi.org/10.3126/jeri.v4i1.75791

Kimbrough, E. O., McGee, A. D., & Shigeoka, H. (2022). How Do Peers Impact Learning? An Experimental Investigation of Peer-to-Peer Teaching and Ability Tracking. Journal of Human Resources, 57(1), 304–339. https://doi.org/10.3368/jhr.57.1.0918-9770R2

Lestari, E. A., Budiarti, B., & Juhansar, J. (2022). Utilizing clustering technique to enhance students’ English writing performance. English Review: Journal of English Education, 10(2), 439–452. https://doi.org/10.25134/erjee.v10i2.6245

Lloyd, G. M., & Murphy, P. K. (2023). Mathematical Argumentation in Small-Group Discussions of Complex Mathematical Tasks in Elementary Teacher Education Settings. In R. Leikin (Ed.), Mathematical Challenges For All (pp. 169–195). Springer International Publishing. https://doi.org/10.1007/978-3-031-18868-8_9

Muzawi, R., Kamil, S. Z., Fatimah, S. M., Hasibuan, S. K., Rizki, S. N., Khayrani, S., Ramadhani, S., Wati, S., Ardawiyah, R., Maharini, R., & Pangindra, R. A. (2024). Fundamental SPSS dalam Pengolahan Data (A. F. Chandra, Ed.). PT. Serasi Media Teknologi.

Nanda, F. A. (2022). Penggunaan Digital Learning System (DLA) Melalui Model Pembelajaran Kooperatif Tipe Talking Stick. Perkumpulan Rumah Cemerlang Indonesia.

National Council of Teachers of Mathematics (NCTM). (2015). Principles to Actions?: Ensuring Mathematical Success for All. The National Council of Teachers of Mathematics.

Nurlaela, E., Nurasiah, I., & Nurmeta, I. K. (2024). Implemetasi Metode Talking Stick untuk Meningkatkan Keterampilan Berbicara Siswa. Jurnal Educatio, 10(4), 1084–1089. https://doi.org/10.31949/educatio.v10i4.8694

OECD. (2023). Education at a glance 2023: OECD indicators. OECD Publishing. https://doi.org/10.1787/e13bef63-en

Oktaç, A. (2018). Conceptions About System of Linear Equations and Solution. In C. and B. A. and Z. M. Stewart Sepideh and Andrews-Larson (Ed.), Challenges and Strategies in Teaching Linear Algebra (pp. 71–101). Springer International Publishing. https://doi.org/10.1007/978-3-319-66811-6_4

Planas, N., & Pimm, D. (2024). Mathematics education research on language and on communication including some distinctions: Where are we now? ZDM - Mathematics Education, 56(1), 127–139. https://doi.org/10.1007/s11858-023-01497-0

Ramadhani, L., Johar, R., & Ansari, B. I. (2021). Kemampuan Komunikasi Matematis Ditinjau dari Keterlibatan Siswa Melalui Pendekatan Realistic Mathematics Education (RME). AXIOM: Jurnal Pendidikan Dan Matematika, 10(1), 68–84. https://doi.org/10.30821/axiom.v10i1.8825

Rienovita, E., Taniguchi, M., Kawahara, M., Hayashi, Y., & Takeuchi, Y. (2018). Implementation of Interactive Peer Learning Environment Enhances Learners’ Self-Esteem and Self-Efficacy. International Journal of Learning Technologies and Learning Environments, 1(1), 1–24. https://doi.org/10.52731/ijltle.v1.i1.227

Riskawati, T. Y. (2025). Enhancing Oral Communication Abilities Via the Talking Stick Model Supported by Visual Media in Primary Education. International Journal of Teaching, 2(1), 37–41. https://doi.org/10.61798/ijt.v2i1.196

Rohid, N., Suryaman, S., & Rusmawati, R. D. (2019). Students’ Mathematical Communication Skills (MCS) in Solving Mathematics Problems: A Case in Indonesian Context. Anatolian Journal of Education, 4(2), 19–30. https://doi.org/10.29333/aje.2019.423a

Santoso, J. (2023). Mengatasi Tantangan Keterlibatan Mahasiswa: Strategi Efektif untuk Menciptakan Lingkungan Belajar yang Menarik. Jurnal Ilmiah Kanderang Tingang, 14(2), 469–478. https://doi.org/10.37304/jikt.v14i2.267

Saputro, M. E., Amalia, U., & Juhansar, J. (2022). The utilization of flashcards to enhance students’ writing performance: An action research. Indonesian Research Journal in Education (IRJE), 6(1), 105–122. https://doi.org/10.22437/irje.v6i1.17528

Setyaedhi, H. S., Rusijono, & Ardianik. (2025). Uji T: Uji Komparatif Dua Parameter Rata-Rata (Perhitungan Manual dan SPSS). Nas Media Pustaka.

Sfard, A. (2021). Thinking as communicating: Human development, the growth of discourses, and mathematizing (2nd ed.). Cambridge University Press. https://doi.org/10.1017/CBO9780511499944

Siregar, N. C., Rosli, R., & Maat, S. M. (2020). The Effects of a Discovery Learning Module on Geometry for Improving Students’ Mathematical Reasoning Skills, Communication and Self-Confidence. International Journal of Learning, Teaching and Educational Research, 19(3), 214–228. https://doi.org/10.26803/ijlter.19.3.12

Supriyadi, E., Hussain, A., & Yasir, Y. (2024). Linear Algebra Education in University: A Literature Review. International Journal of Applied Learning and Research in Algebra, 1(2), 111–119. https://doi.org/10.56855/algebra.v1i2.1253

Tall, D. (2021). The psychology of advanced mathematical thinking (3rd ed.). Springer. https://doi.org/10.1007/0-306-47203-1_1

Tanjung, Y. T., Nur, A., Tanjung, N., & Matondang, A. R. (2023). Model Pembelajaran Berbasis Konstruktivisme untuk Meningkatkan Kemampuan Komunikasi Matematik dan Kemandirian Siswa. Jurnal Dunia Pendidikan, 3(3), 350–361. https://doi.org/10.55081/jurdip.v3i3.1272

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

Waqia, U., Soejanto, L. T., & Bariyyah, K. (2023). Meningkatkan Kepercayaan Diri Siswa dalam Mengemukakan Pendapat Melalui Pendekatan Talking Stick. JUANG: Jurnal Wahana Konseling, 6(2), 134–142. https://doi.org/10.31851/juang.v6i2.13493

Wardi, Z., Satriawan, R., Ahyan, S., & Halqi, M. (2023). Interelasi Model Problem Based learning dan Interaksi Teman Sebaya melalui Sikap Matematis terhadap Prestasi Matematika. Plusminus: Jurnal Pendidikan Matematika, 3(3), 521–538. https://doi.org/10.31980/plusminus.v3i3.1514

Woods, D. M. (2022). Building a Math-talk Learning Community Through Number Talks. The Journal of Mathematical Behavior, 67, 100995. https://doi.org/10.1016/j.jmathb.2022.100995

World Economic Forum. (2023). Future of jobs report 2023. WEF. https://www.weforum.org/reports/the-future-of-jobs-report-2023

Yuwono, T., & Rita, M. M. (2025). Peran Pembelajaran Sebaya dalam Matematika: Sebuah Studi tentang Model Pembelajaran Kooperatif TSTS. Jurnal Pendidikan Matematika, 10(2), 103–114. https://doi.org/10.51517/nabla.v10i2.535

Zaki, H. S., & Pratama, H. D. (2026). Analisis Pemahaman Mahasiswa Teknologi Informasi Terhadap Konsep Vektor pada Pembelajaran Aljabar Linear. Al-Aqlu: Jurnal Matematika, Teknik dan Sains, 4(1), 26–31. https://doi.org/10.59896/aqlu.v4i1.501

Authors

Vivianti Vivianti
vivianti@uty.ac.id (Primary Contact)
Dwi Ratnawati
Oktavia Hardiyantari
Dian Wahyuningsih
Vivianti, V., Ratnawati, D., Hardiyantari, O., & Wahyuningsih, D. (2026). Enhancing Mathematical Communication Skills in Linear Algebra Through the Talking Stick Learning Model. International Journal of Educational Narratives, 4(4), 1545–1558. https://doi.org/10.70177/ijen.v4i4.4107

Article Details

Similar Articles

<< < 10 11 12 13 14 15 16 17 18 19 > >> 

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