Vol. 8 No. 3 (2026): Edisi September
Open Access
Peer Reviewed

Model Team Accelerated Instruction (TAI) dengan Pendekatan Open-Ended Efektif Ditinjau dari Kemampuan Penalaran dan Self-Efficacy Siswa

Authors

Tri Andriyani , Raden Rosnawati

DOI:

10.29303/jm.v8i3.12707

Published:

2026-08-12

Downloads

Abstract

The purpose of this study is to describe the differences in the effectiveness of the TAI cooperative learning model with an open-ended approach and the conventional learning model in terms of students’ mathematical reasoning abilities and self-efficacy. This study is a quasi-experimental study using a nonequivalent comparison group design. The subjects of this study were 10th-grade students at a public high school in Yogyakarta. The sample consisted of two classes, each of which followed the TAI-type cooperative learning model with an open-ended approach and conventional learning, respectively. The research instruments consisted of a reasoning ability test and a self-efficacy scale. Data analysis techniques included descriptive and inferential analysis. The results of the study at a 5% significance level indicate that: 1) the TAI cooperative learning model with an open-ended approach is effective in terms of students’ mathematical reasoning ability and self-efficacy; 2) the conventional learning model is effective in terms of students’ mathematical reasoning ability and self-efficacy; 3) the TAI-type cooperative learning model with an open-ended approach is more effective than the conventional learning model in terms of students’ mathematical reasoning ability; however, there is no difference in effectiveness between the two models in terms of students’ self-efficacy.

Keywords:

Mathematical Reasoning Skills Self-Efficacy Open-Ended Open-Ended, Team-Accelerated Instruction

References

Ball, D. L., & Bass, H. (2003). Making Mathematics Reasonable in School. A Research Companion to Principles and Standards for School Mathematics, January 2003, 27–44.

Bandura, A. (1995). Self-efficacy in Changing Societies. CAMBRIDGE UNIVERSITY PRESS.

Bandura, A. (1997). Self Efficacy: The Exercise of Control.

Betz, N. ., & Hackett, G. (1993). Mathematics Self-Efficacy Scale. Journal of Vocational Behavior. https://doi.org/https://psycnet.apa.org/doi/10.1037/t01563-000

Boesen, J., Lithner, J., & Palm, T. (2010). The relation between types of assessment tasks and the mathematical reasoning students use. Educational Studies in Mathematics, 75(1), 89–105. https://doi.org/10.1007/s10649-010-9242-9

Bütüner, S. O., Güner, P., & Güler, M. (2025). Creative learning environments and mathematics self-efficacy as predictors of mathematics achievement : Insights from PISA 2022 across three countries – Korea , Canada , and Türkiye. Thinking Skills and Creativity, 58(August), 1–22. https://doi.org/10.1016/j.tsc.2025.101946

Cahyaningsih, U. (2018). Penerapan Model Pembelajaran Kooperatif Tipe Tai (Team Assisted Individualization) Untuk Meningkatkan Hasil Belajar Siswa Pada Mata Pelajaran Matematika. Jurnal Cakrawala Pendas, 4(1), 1–14.

Faroh, A. U., & Dewi, N. R. (2022). Studi Kasus : Metode Pembelajaran Drill Berbantuan Open-Ended Problem untuk Mengembangkan Kemampuan Penalaran Matematis Siswa SMP. Jurnal Cendekia: Jurnal Pendidikan Matematika, 06(01), 898–909.

Hjelte, A., Schindler, M., & Nilsson, P. (2020). Kinds of Mathematical Reasoning Addressed in Empirical Research in Mathematics Education: A Systematic Review. Education Sciences, 10(10), 1–15. https://doi.org/https://doi.org/10.3390/educsci10100289https://doi.org/10.3390/educsci10100289

Killpatrick, J., Swafford, J., & Findell, B. (2001). Adding it UP. In October (Issue October). National Academy Press.

Lithner, J. (2003). Students’ mathematical reasoning in university textbook exercises. In Educational Studies in Mathematics (pp. 29–55). Kluwer Academic Publishers.

Lithner, J. (2007). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67(3), 255–276. https://doi.org/10.1007/s10649-007-9104-2

Maryati, I., & Priatna, N. (2017). Analisis Kesulitan Dalam Materi Statistika Ditinjau Dari Kemampuan Penalaran Dan Komunikasi Statistis. Prisma, 6(2), 173–179. https://doi.org/10.35194/jp.v6i2.209

Mertayasa, I. W. (2021). Aplikasi Model Pembelajaran Kooperatif Tipe Team Assisted Individualization ( TAI ) dengan Tutor Sebaya untuk Meningkatkan Prestasi Belajar Matematika. Journal of Education Action Research, 5(3), 301–308.

Moma, L. (2014). Self-Efficacy Matematik Pada Siswa SMP. Mosharafa: Jurnal Pendidikan Matematika, 3(2), 85–94. https://doi.org/10.31980/mosharafa.v3i2.313

Mukuka, A., Mutarutinya, V., & Balimuttajjo, S. (2021). Mediating Effect of Self-Efficacy on The Relationship Between Instruction and Students Mathematical Reasoning. Journal on Mathematics Education, 12(1), 73–92.

Mustikasari, Zulkardi, & Aisyah, N. (2010). Pengembangan soal-soal open-ended. Jurnal Pendidikan Matematika, 4(1), 45–60.

NCTM. (2000). Principles and Standards for Mathematics.

Negara, H. R., Santosa, F. H., & Siagian, M. D. (2024). Overview of Student ’ s Mathematics Reasoning Ability Based on Social Cognitive Learning and Mathematical Self-efficacy. Mathematics Teaching Research Journal, 16(1), 121–142.

Ningsi, G. P., Pantaleon, K. V., Men, F. E., Jundu, R., & Izzah, I. (2023). Model Pembelajaran Generatif dalam Setting Team Accelerated Instruction ( TAI ) Ditinjau dari Kemampuan Pemecahan Masalah Matematis Siswa. Jurnal Cendekia: Jurnal Pendidikan Matematika, 07(10), 2338–2348.

Raharjo, S., Saleh, H., & Sawitri, D. (2020). Analisis Kemampuan Penalaran Matematis Siswa Dengan Pendekatan Open–Ended Dalam Pembelajaran Matematika. Paedagoria: Jurnal Kajian, Penelitian Dan Pengembangan Kependidikan, 11(1), 36–43. https://doi.org/10.31764/paedagoria.v11i1.1881

Rusell, J. . (1999). Mathematical Reasoning in the Elementary Grades. In Developing Mathematical Reasoning in Grades K-12 (pp. 1–12). NCTM.

Seepiwsiw, K., & Seehamongkon, Y. (2023). The Development of Mathematical Problem-Solving and Reasoning Abilities of Sixth Graders by Organizing Learning Activities Using Open Approach. Journal of Education and Learning, 12(4), 42. https://doi.org/10.5539/jel.v12n4p42

Setianingsih, H. (2016). Keefektifan problem solving dan guided inquiry dalam setting TAI ditinjau dari prestasi belajar , kemampuan berpikir kritis , dan kedisiplinan diri. Jurnal Riset Pendidikan Matematika, 3(2), 221–233.

Setyani, G. D., & Kristanto, Y. D. (2020). A Case Study of Promoting Informal Inferential Reasoning in Learning Sampling Distribution for High School Students. SJME (Supremum Journal of Mathematics Education), 4(1), 64–77. https://doi.org/10.35706/sjme.v4i1.3132

Sidenvall, J., Lithner, J., & Jäder, J. (2015). Students’ reasoning in mathematics textbook task-solving. International Journal of Mathematical Education in Science and Technology, 46(4), 533–552. https://doi.org/10.1080/0020739X.2014.992986

Slavin, R. E. (2005). Cooperative Learning Teori, Riset, dan Praktik (5th ed.). Nusa Media.

Van De Walle, J. A., Karp, K. S., & Bay Williams, J. M. (2013). Elementary and Middle School Mathematics (Eight).

Vygotsky, L. (1978). Interaction Between Learning and Development. In Readings on the development of children (pp. 29–36).

Widiartana, I. P. H. (2018). The Effect of Open-Ended Approach Towards Students’ Mathematical Reasoning. Journal of Physics: Conf. Series, 1–7.

Author Biographies

Tri Andriyani, Universitas Negeri Yogyakarta

Author Origin : Indonesia

Raden Rosnawati, Yogyakarta State University

Author Origin : Indonesia

Lecturer in Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Downloads

Download data is not yet available.

How to Cite

Andriyani, T., & Rosnawati, R. (2026). Model Team Accelerated Instruction (TAI) dengan Pendekatan Open-Ended Efektif Ditinjau dari Kemampuan Penalaran dan Self-Efficacy Siswa . Mandalika Mathematics and Educations Journal, 8(3), 1811–1823. https://doi.org/10.29303/jm.v8i3.12707

Similar Articles

> >> 

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