Published date: Apr 26 2024

Journal Title: KnE Social Sciences

Issue title: International Conference on Mathematics and Science Education (ICMScE 2022): Learning Models and Teaching Approaches

Pages: 510–522

DOI: 10.18502/kss.v9i13.15953

Yohannes .yohannesyohannes@upi.eduDepartment of Mathematics Education, Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia

Dadang JuandiDepartment of Mathematics Education, Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia

Jarnawi Afgani DahlanDepartment of Mathematics Education, Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia

The implementation of the discovery learning (DL) model in Indonesia is believed to improve the mathematical critical thinking skills of the secondary students, so that it becomes the recommended learning model in the national curriculum. Several previous similar types of research have found that DL can enhance secondary students’ mathematical critical thinking skills. However, there were inconsistencies in the effect size of these primary studies. The meta-analysis was carried out to obtain a comprehensive analysis result and investigate the effect of study characteristics. Comprehensive meta-analysis (CMA) is a tool used to calculate hedge’s effect size (ES). An analysis of 25 relevant primary studies that met the inclusion criteria revealed that, based on the random-effects model, the implementation of the DL model had a high positive effect (ES = 0.981) on secondary students’ critical thinking skills compared to the conventional model. The duration of treatment and indexed publication are important factors that affect the effectiveness of implementing DL on students’ mathematical critical thinking skills. Based on the analysis, DL is recommended for use by secondary school teachers, taking into account the characteristics of the study.

Keywords: iscovery learning, mathematical critical thinking skills, secondary students

[1] M.K. Listyotami, S.H. Noer, and E.Y. Haenilah, “Discovery learning to develop student reflective thinking ability and self-efficacy.,” Al-Jabar : Jurnal Pendidikan Matematika. vol. 9, no. 1, p. 73, 2018.

[2] Z. Zetriuslita, W. Wahyudin, and J.A. Dahlan, “Association among mathematical critical thinking skill, communication, and curiosity attitude as the impact of problembased learning and cognitive conflict strategy (pblccs) in number theory course.,” Infinity Journal. vol. 7, no. 1, p. 15, 2018.

[3] S.H. Noer, “Guided discovery model: An alternative to enhance students’ critical thinking skills and critical thinking dispositions,.” Jurnal Riset Pendidikan Matematika. vol. 5, no. 1, p. 108, 2018.

[4] R.H. Ennis, “Critical thinking and subject specificity: clarification and needed research.,” Educational Researcher. vol. 18, pp. 4–10, 1989.

[5] W. Setiawan, “Meningkatkan kemampuan berpikir kritis matematis siswa smp dengan menggunakan model penemuan terbimbing.,” P2M STKIP Siliwangi. vol. 2, no. 1, p. 91, 2015.

[6] Y. Umayah, “Pengaruh model pembelajaran discovery learning terhadap kemampuan berpikir kritis matematis pada siswa smp ditinjau dari kam.,” Jurnal Mitra Pendidikan (JMP Online). vol. 3, no. 5, pp. 772–281, 2019.

[7] P. Hartati, “Efektivitas discovery learning ditinjau dari kemampuan berpikir kritis siswa sma 1 bengkulu tengah.,” Didactical Mathematics. vol. 2, no. 2, p. 27, 2020.

[8] B. Apriza and A. Mahmudi, “Keefektifan pendekatan pbl dan discovery setting tps ditinjau dari prestasi, kemampuan berpikir kritis, dan kepercayaan diri siswa.,” vol. 3, no. 2, pp. 101–110, 2015.

[9] Yusmanto and T. Herman, “Pengaruh penerapan model pembelajaran discovery learning terhadap peningkatan kemampuan berpikir kritis matematis dan self confidence siswa kelas v sekolah dasar.,” EduHumaniora | Jurnal Pendidikan Dasar Kampus Cibiru. vol. 7, no. 2, p. 140, 2016.

[10] L.D. Haeruman, W. Rahayu, and L. Ambarwati, “Pengaruh model discovery learning terhadap peningkatan kemampuan berpikir kritis matematis dan self-confidence ditinjau dari kemampuan awal matematis siswa sma di Bogor Timur.,” Jurnal Penelitian dan Pembelajaran Matematika. vol. 10, no. 2, pp. 157–168, 2017.

[11] W.Y. Noviyanto and N.S. Wardani, “meta analisis pengaruh pendekatan discovery learning terhadap kemampuan berpikir kritis siswa kelas v tematik muatan IPA.,” Jurnal Pendidikan. vol. 3, no. 1, pp. 1–7, 2020.

[12] R.N. Samosir, “Perbandingan kemampuan berpikir kritis siswa yang diajar dengan menggunakan model discovery learning dan kooperatif tipe make a match dengan media kartu soal pada materi teorema pythagoras.,” Jurnal Inspiratif. vol. 6, no. 1, pp. 24–36, 2015.

[13] E. Sulistiani, S.B. Waluya, and Masrukan, “The analysis of student’s critical thinking ability on discovery learning by using hand on activity based on the curiosity,.” Journal of Physics: Conference Series. vol. 983, no. 1, p. 2018.

[14] I.W. Kurniati, E. Pujiastuti, and A.W. Kurniasih, “Model pembelajaran discovery learning berbantuan smart sticker untuk meningkatkan disposisi matematik dan kemampuan berpikir kritis.,” Kreano, Jurnal Matematika Kreatif-Inovatif. vol. 8, no. 2, pp. 109–118, 2017.

[15] F. Meidinda, E. Azhar, and H. Jusra, “Pengaruh model pembelajaran discovery learning terhadap kemampuan berpikir kritis matematis siswa kelas viii.,” In: Seminar Nasional Pendidikan Matematika. pp. 418–429 (2018).

[16] Widayati, Suyono, and W. Rahayu, “Pengaruh model pembelajaran berbasis penemuan terhadap kemampuan berpikir kritis matematis dan self concept dengan mengontrol kemampuan awal peserta didik kelas vii smp pada materi bangun datar.,” JPPM (Jurnal Penelitian dan Pembelajaran Matematika). vol. 1, no. 2, pp. 94–104, 2018.

[17] D. Astuti and E. Syafitri, “Peningkatan kemampuan berpikir kritis matematika siswa melalui pembelajaran discovery learning pada kurikulum 2013 kelas x di sma negeri 1 Air Joman.,” Jurnal MathEducation Nusantara. vol. 2, no. 2, pp. 127–132, 2019.

[18] N.M. Puteri, R.A. Sukmawati, and H. Ansori, “Kemampuan berpikir kritis siswa dalam penerapan model discovery learning.,” pp. 58–66, 2018.

[19] I.A. Tambunan, S. Sutiarso, and ..., “Efektivitas model discovery learning ditinjau dari kemampuan berpikir kritis siswa.,” Jurnal Pendidikan …. vol. 7, no. 5, pp. 603–617, 2019.

[20] E. Prasetyawan, “Keefektifan pendekatan CTL dan discovery ditinjau dari prestasi, kemampuan berpikir kritis dan kecemasan matematika.,” Pythagoras: Jurnal Pendidikan Matematika. vol. 13, no. 2, pp. 168–180, 2018.

[21] Maryana, A. Yarmayani, and Relawati, “Perbedaan kemampuan berfikir kritis siswa yang dibelajarkan model pembelajaran cooperative learning tipe number head together (nht) dan model pembelajaran discovery learning pada siswa kelas xi mia sma negeri 9 kota Jambi.,” Jurnal Pendidikan Matematika Phi. vol. 3, no. 2, pp. 76–79, 2019.

[22] L.P. Astuti, “Meningkatkan kemampuan berpikir kritis dan motivasi berprestasi siswa dengan menerapkan model pembelajaran discovery learning di sma.,” In: Prosiding Seminar Nasional & Call For Papers Program Studi Magister Pendidikan Matematika Universitas Siliwangi Tasikmalaya, 19 Januari 2019. pp. 328–332 (2019).

[23] I. Agus, “Efektivitas guided discovery menggunakan pendekatan kontekstual ditinjau dari kemampuan berpikir kritis, prestasi, dan self-efficacy.,” Jurnal Riset Pendidikan Matematika. vol. 6, no. 2, pp. 120–132, 2019.

[24] G. Nugraha, Sarkani, and I.I. Supianti, “Penerapan model discovery learning untuk meningkatkan kemampuan berpikir kreatif siswa.,” Jurnal PJME. vol. 10, no. 1, pp. 78–87, 2020.

[25] A. Nabela, M. Mariyam, and N. Nurhayati, “Pengaruh guided discovery learning terhadap kemampuan berpikir kritis matematis siswa smpn 6 Singkawang.,” J-PiMat : Jurnal Pendidikan Matematika. vol. 2, no. 1, pp. 116–125, 2020.

[26] Y. Haliyah, Nurhayati, and A. Nurrahmah, “Pengaruh model discovery learning terhadap kemampuan berpikir kritis matematika siswa kelas VII SMP Ash-solihin Depok.,” In: Seminar Nasional Matematika dan Pendidikan Matematika (5th SENATIK). pp. 200–204 (2020).

[27] Nurmayani, “The analysis of students ’ mathematical critical thinking ability through discovery learning models,.” International Journal of Research and Review. vol. 7, no. 11, pp. 233–241, 2020.

[28] S.R. Janah, H. Suyitno, and I. Rosyida, “Mathematics critical thinking skills reviewed by cognitive styles and iq on discovery learning with spur approach.,” vol. 11, no. 1, pp. 35–41, 2022.

[29] M. Tamur, D. Juandi, and A.M.G. Adem, “Realistic mathematics education in Indonesia and recommendations for future implementation: a meta-analysis study.,” JTAM | Jurnal Teori dan Aplikasi Matematika. vol. 4, no. 1, p. 17, 2020.

[30] G. V Glass, B. McGraw, and M.L. Smith, Meta-analysis in social research. Sage Publications, London, 1981.

[31] G. Cumming, Understanding The New Statistics: Effect Sizes, Confidence Intervals, and Meta-Analysis., 2012.

[32] M. Borenstein, L. V Hedges, J.P.T. Higgins, and H.R. Rothstein, Introduction to meta-analysis. John Wiley and Sons, UK, 2009.

[33] J.H. Littell, J. Corcoran, and V. Pillai, Systematic review and meta-analysis., 2008.

[34] A. Liberati, D.G. Altman, J. Tetzlaff, et al., The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate health care interventions: explanation and elaboration., 2009.

[35] R.M. Bernard, E. Borokhovski, R.F. Schmid, R.M. Tamim, and P.C. Abrami, “A meta-analysis of blended learning and technology use in higher education: From the general to the applied.,” Journal of Computing in Higher Education. vol. 26, no. 1, pp. 87–122, 2014.

[36] W. Thalheimer and S. Cook, “How to calculate effect sizes from published research.,” Work-Learning Research. vol. 1, no. August, pp. 1–9, 2002.

[37] M.L. Mchugh, “The Chi-square test of independence Lessons in biostatistics.,” Biochemia Medica. vol. 23, no. 2, pp. 143–9, 2013.

[38] M. W.-L.Cheung, Meta-analysis: a structural equation modeling approach. John Wiley and Sons, UK, 2015.

[39] Suparman, M. Tamur, Yunita, T.T. Wijaya, and Syaharuddin, “Using problem-based learning to enhance mathematical abilities of primary school students: a systematic review and meta-analysis.,” vol. 5, no. 1, pp. 144–161, 2021.

[40] Y. Yohannes, D. Juandi, and N. Diana, “The evaluation of problem-based learning model towards high school students’ critical thinking skills: A meta-Analysis study in Indonesia,.” PervasiveHealth: Pervasive Computing Technologies for Healthcare. pp. 199–204, 2020.

[41] Yohannes, D. Juandi, and M. Tamur, “The effect of problem-based learning model on mathematical critical thinking skills of junior high school students: a meta-analysis study.,” JP3I (Jurnal Pengukuran Psikologi dan Pendidikan Indonesia). vol. 10, no. 2, pp. 142–157, 2021.

[42] Y. Yunita, D. Juandi, M. Tamur, A.M.G. Adem, and J. Pereira, “A meta-analysis of the effects of problem-based learning on students’ creative thinking in mathematics,.” Beta: Jurnal Tadris Matematika. vol. 13, no. 2, pp. 104–116, 2020.