Enhancing Senior High School Students’ Creative Thinking, Mathematical Reasoning, and Collaboration Through PBL-STAD in Trigonometry Learning

Muhammad Nauval Muwaffiq; Jailani Jailani; Wahyu Setyaningrum; Kuswari Hernawati

doi:10.24256/jpmipa.v14i2.8304

Authors

Muhammad Nauval Muwaffiq State University of Yogyakarta, Indonesia
Jailani Jailani State University of Yogyakarta, Indonesia
Wahyu Setyaningrum State University of Yogyakarta, Indonesia
Kuswari Hernawati State University of Yogyakarta, Indonesia

DOI:

https://doi.org/10.24256/jpmipa.v14i2.8304

Keywords:

Collaboration, Creative Thinking, Mathematical Reasoning, PBL, STAD

Abstract

Abstract:

This study examines the integration of Problem-Based Learning (PBL) and Student Teams Achievement Division (STAD) to improve students’ creative thinking, mathematical reasoning, and collaboration skills in trigonometry. Conducted at MA Ali Maksum Yogyakarta, the study involved 26 Grade XI Science 2 students using a one-group pretest–posttest pre-experimental design. Quantitative data were collected through tests and questionnaires, with observations as supporting data, and analyzed using paired-samples t-tests. The results showed significant improvements in creative thinking from 16.5 to 70.5, mathematical reasoning from 19.26 to 75.6, and collaboration skills from 57.1 to 74.7 (all p < .001). These findings indicate that integrating PBL and STAD effectively supports trigonometry learning.

Abstrak:

Penelitian ini mengkaji integrasi Problem-Based Learning (PBL) dan Student Teams Achievement Division (STAD) untuk meningkatkan kemampuan berpikir kreatif, penalaran matematis, dan keterampilan kolaborasi siswa pada materi trigonometri. Penelitian dilaksanakan di MA Ali Maksum Yogyakarta dengan melibatkan 26 siswa kelas XI IPA 2 menggunakan desain pra-eksperimen tipe one-group pretest–posttest. Data dikumpulkan melalui tes dan angket, dengan observasi sebagai data pendukung, kemudian dianalisis menggunakan uji paired-samples t-test. Hasil penelitian menunjukkan peningkatan signifikan kemampuan berpikir kreatif dari 16,5 menjadi 70,5, penalaran matematis dari 19,26 menjadi 75,6, dan keterampilan kolaborasi dari 57,1 menjadi 74,7 (seluruhnya p < 0,001). Temuan ini menunjukkan integrasi PBL dan STAD efektif mendukung pembelajaran trigonometri.

References

Anderson, Ross C., Jennifer Katz-Buonincontro, Tracy Bousselot, et al. “How Am I a Creative Teacher? Beliefs, Values, and Affect for Integrating Creativity in the Classroom.” Teaching and Teacher Education 110 (February 2022): 103583. https://doi.org/10.1016/j.tate.2021.103583.

Aziz, S., and Suparman. “Design Of Mathematical E-Module Based On Inquiry Learning Model To Stimulate The Creative Skills.” 9, no. 3 (2020): 1–7. https://www.semanticscholar.org/paper/Design-Of-Mathematical-E-Module-Based-On-Inquiry-To-Aziz-Suparman/ef3c6a5ef2c80dc458c84a5e6bb53a107cd4da36.

Carotenuto, Gemma, Pietro Di Martino, and Marta Lemmi. “Students’ Suspension of Sense Making in Problem Solving.” ZDM – Mathematics Education 53, no. 4 (2021): 817–30. https://doi.org/10.1007/s11858-020-01215-0.

Desi, Asmara, Ika Evitasari Aris, and Anna Maria Oktaviani. “Pengaruh Model Pembelajaran Problem Based Learning (PBL) Berbantuan Media Wordwall Terhadap Kemampuan Penalaran Matematis Peserta Didik Kelas IV.” Arus Jurnal Sosial Dan Humaniora, ahead of print, December 21, 2024. https://doi.org/10.57250/ajsh.v4i3.742.

Fitriani, Desy, and Jailani Jailani. “Pengaruh Pembelajaran Kooperatif Tipe STAD Dengan Pendekatan Saintifik Terhadap Berpikir Kritis, Kecerdasan Emosional Dan Kolaborasi.” AKSIOMA: Jurnal Program Studi Pendidikan Matematika 12, no. 2 (2023): 2499–506. https://doi.org/10.24127/ajpm.v12i2.7280.

Fitriyah, Ihda Mutimmatul, Nur Hidayanto Pancoro Setyo Putro, and Ezi Apino. “Meta Analysis Study: Effectiveness of Problem Based Learning on Indonesian Students’ Mathematical Reasoning Ability.” Jurnal Riset Pendidikan Matematika 9, no. 1 (2022): 36–45. https://doi.org/10.21831/jrpm.v9i1.46447.

Florida, Richard, and Charlotta Mellander. “The Global Creativity Index: National Creativity Ecosystems and Their Relationship to Economic Development and Inequality.” In Global Creative Ecosystems: A Critical Understanding of Sustainable Creative and Cultural Production, edited by Tarek E. Virani. Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-33961-5_10.

Florida, Richard, Charlotta Mellander, and Kevin Stolarick. Creativity and Prosperity: The Global Creativity Index. 2015. http://hdl.handle.net/1807/80125.

Guilford, Joy Paul. Intelligence, Creativity and Their Educational Implications : Joy Paul Guilford : Free Download, Borrow, and Streaming : Internet Archive. 1968; Robert R. Knapp, 1968. https://archive.org/details/intelligencecrea0000joyp/page/n9/mode/2up.

Ibrahim, Ibrahim Alhussain Khalil, and Rully Charitas Indra Prahmana. “Mathematics Learning Orientation: Mathematical Creative Thinking Ability or Creative Disposition?” Journal on Mathematics Education 15, no. 1 (2024): 253–76. https://doi.org/10.22342/jme.v15i1.pp253-276.

Jonassen, David, and Woei Hung. “All Problems Are Not Equal: Implications for Problem-Based Learning.” Interdisciplinary Journal of Problem-Based Learning 2, no. 2 (2008). https://doi.org/10.7771/1541-5015.1080.

Kardoyo, Ahmad Nurkhin, Muhsin, and Hengky Pramusinto. “Problem-Based Learning Strategy: Its Impact on Students’ Critical and Creative Thinking Skills.” European Journal of Educational Research 9, no. 3 (2020): 1141–50. https://doi.org/10.12973/eu-jer.9.3.1141.

Kim, Tae Kyun, and Jae Hong Park. “More About the Basic Assumptions of T-Test: Normality and Sample Size.” Korean Journal of Anesthesiology 72, no. 4 (2019): 331–35. https://doi.org/10.4097/kja.d.18.00292.

Laksono, Diki, and Kiki Nia Sania Effendi. “Kemampuan Berpikir Kreatif Matematis Siswa SMP Di Kabupaten Karawang Pada Materi Bangun Datar.” JPMI (Jurnal Pembelajaran Matematika Inovatif) 4, no. 3 (2021): 507–16. https://doi.org/10.22460/jpmi.v4i3.p%25p.

Li, Yeping, and Alan H. Schoenfeld. “Problematizing Teaching and Learning Mathematics as ‘Given’ in STEM Education.” International Journal of STEM Education 6, no. 1 (2019): 44, s40594-019-0197–99. https://doi.org/10.1186/s40594-019-0197-9.

National Council of Teachers of Mathematics. Principles and Standards for School Mathematics. With Internet Archive. Reston, VA : National Council of Teachers of Mathematics, 2000. http://archive.org/details/principlesstanda00nati.

NCTM. “Principles and Standards - National Council of Teachers of Mathematics.” National Council of Teachers of Mathematics, 2025. https://www.nctm.org/standards-and-positions/principles-and-standards/.

Nufus, Hayatun, Ramon Muhandaz, Hasanuddin, et al. “Analyzing the Students’ Mathematical Creative Thinking Ability in Terms of Self-Regulated Learning: How Do We Find What We Are Looking For?” Heliyon 10, no. 3 (2024). https://doi.org/10.1016/j.heliyon.2024.e24871.

Ofstedal, Kathleen, and Kathryn Dahlberg. “Collaboration in Student Teaching: Introducing the Collaboration Self-Assessment Tool.” Journal of Early Childhood Teacher Education 30, no. 1 (2009): 37–48. https://doi.org/10.1080/10901020802668043.

Panjaitan, M. Azhari, and Dadang Juandi. “Analysis of Problems in Learning Mathematics Based on Difficulties, Errors, and Misconceptions in the Material of Equations and Inequality Absolute Values of One Variable: Systematic Literature Review.” KnE Social Sciences 12, no. 13 (2024): 316–24. https://doi.org/10.18502/kss.v9i13.15932.

Putri, Cynthia, Retna Sedyati, and Mukhamad Zulianto. “Students’ Collaboration and Communication Skills with Problem-Based Learning Model.” Jurnal Inovasi Dan Teknologi Pembelajaran 10 (January 2025): 225–33. https://doi.org/10.17977/um031v10i32023p225.

Rohati, Rohati, Yaya S. Kusumah, and Kusnandi Kusnandi. “Exploring Students’ Mathematical Reasoning Behavior in Junior High Schools: A Grounded Theory.” Education Sciences 13, no. 3 (2023): 252. https://doi.org/10.3390/educsci13030252.

Schoevers, Eveline M., Evelyn H. Kroesbergen, and Maria Kattou. “Mathematical Creativity: A Combination of Domain-General Creative and Domain-Specific Mathematical Skills.” The Journal of Creative Behavior 54, no. 2 (2020): 242–52. https://doi.org/10.1002/jocb.361.

Skovsmose, Ole. Towards a Philosophy of Critical Mathematics Education. Springer Netherlands, 1994. https://doi.org/10.1007/978-94-017-3556-8.

Slavin, Robert E. Cooperative Learning. Nusa Media, 2015.

Torrance, E. Paul. Creativity. What Research Says to the Teacher. National Education Association, 1201 Sixteenth Street, N, 1969. https://eric.ed.gov/?id=ED078435.

Walle, John A. Van de, Karen Karp, and Jennifer M. Bay-Williams. Elementary and Middle School Mathematics: Teaching Developmentally. 7th ed. Allyn & Bacon, 2010.

Wenger, Etienne. Communities of Practice: Learning, Meaning, and Identity. Cambridge University Press, 1998. https://doi.org/10.1017/CBO9780511803932.

Yu, Mark Vincent B., Yangyang Liu, Ta-yang Hsieh, Glona Lee, Sandra D. Simpkins, and Alessandra Pantano. “‘Working Together as a Team Really Gets Them Fired up’: Afterschool Program Mentoring Strategies to Promote Collaborative Learning Among Adolescent Participants.” Applied Developmental Science 26, no. 2 (2022): 347–61. https://doi.org/10.1080/10888691.2020.1800467.

Yulisman, Bilhakil Putra, and Usmeldi Usmeldi. “Praktikalitas Pengembangan Buku Siswa dengan Model Problem Based Learning Ber-integrasi Kemampuan Berfikir Kreatif untuk Meningkatkan Kreativitas Peserta Didik SMA.” Jurnal Penelitian Pembelajaran Fisika 7, no. 2 (2021): 163. https://doi.org/10.24036/jppf.v7i2.113807.

Zahra, Lailatuz, Mulia Suryani, and Alfi Yunita. “Pengaruh Model Pembelajaran Kooperatif Tipe STAD (Student Team Achievement Division) Terhadap Kemampuan Penalaran Matematis Siswa Kelas XI MIPA SMAN 3 Mukomuko.” Jurnal Pendidikan Tambusai 7, no. 2 (2023): 14428–36. https://doi.org/10.31004/jptam.v7i2.8682.

Zain, Aufa, and Nina Rahayu. “Systematic Literature Review: Factors Causing Low Students’ Interest in Learning Mathematics.” Logaritma : Jurnal Ilmu-Ilmu Pendidikan Dan Sains 11, no. 1 (2023): 105–18. https://doi.org/10.24952/logaritma.v11i1.8333.