Meta Analysis: Enhancing Mathematical Representation Ability Through The Discovery Learning
Abstract
To date, numerous studies have explored mathematical representation abilities delivered through the Discovery Learning. This study aims to identify and analyze published research on the effectiveness of the Discovery Learning in enhancing students' mathematical representation abilities using a meta analysis. The data analyzed consists of 10 articles published in online journals. The Discovery Learning as the independent variable and mathematical representation ability as the dependent variable. Based on the calculation results, the average effect size was 3,08 categorized as very large, and the paired sample t-test showed a significant difference in students' mathematical representation abilities before and after being taught using the Discovery Learning. From these results, it can be concluded that the Discovery Learning significantly enhances mathematical representation abilities.
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References
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Bruner, J. S. (1961). The Act of Discovery. Harvard Educational Review, 31(1), 21-32.
Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd Edition). Hillsdale, NJ: Lawrence Erlbaum Associates.
Diba, S.F., Bharata, H., dan Widyastuti. (2018). Pengaruh Model Discovery Learning Terhadap Kemampuan Representasi Matematis Siswa. Jurnal Pendidikan Matematika (JPM Unila), 6(3), 236-247. https://jurnal.fkip.unila.ac.id/index.php/MTK/article/view/15484
Hake, R. R. (1999). Analyzing Change/Gain Scores. American Educational Research Association (AERA).
Komala, E., Suryadi, D., dan Dasari, D. (2021). Kemampuan Representasi: Implementasi Pengembangan Desain Didaktis Pada Pembelajaran Matematika Di Sekolah Menengah Atas. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 2179-2187. https://doi.org/10.24127/ajpm.v10i4.3971
Listyotami, M.K.,, Anwar, Y., Bramana, S.M. (2024). Efektivitas Model Discovery Learning Berbasis Kemampuan Koneksi Matematika, Berpikir Reflektif, dan Representasi Matematis Mahasiswa dalam Pembelajaran Online. Trigonometri: Jurnal Matematika, 1(1), 6-12. https://doi.org/10.30599/trigonometri.v1i1.3256
Maharani, D., Gunowibowo, P., dan Wijaya, A.P. (2019). Pengaruh Model Discovery Learning Terhadap Kemampuan Representasi Matematis Siswa. Jurnal Pendidikan Matematika Unila, 7(6), 717-727. https://jurnal.fkip.unila.ac.id/index.php/MTK/article/view/20009
Mahendra, N. R. (2019). Kemampuan Representasi Matematis Siswa Ditinjau Dari Adversity Quotient Pada Pembelajaran SAVI. Tesis Pendidikan Matematika Pascasarjana Universitas Negeri Semarang.
Mathew, J.L. (2022). Systematic Reviews and Meta-Analysis: A Guide for Beginners. Indian Pediatrics, 59, 320–330. https://link.springer.com/article/10.1007/s13312-022-2500-y
Muhamad, N. (2016). Pengaruh Metode Discovery Learning untuk Meningkatkan Representasi Matematis dan Percaya Diri Siswa. Jurnal Pendidikan UNIGA, 9(1), 75-90. http://dx.doi.org/10.52434/jp.v9i1.79
Mulyani, S., Syamsuddin, N., dan Zulkifli. (2024). Meningkatkan Kemampuan Representasi Matematis Pada Siswa MTS Melalui Discovery Learning Kompetensi. Jurnal Pendidikan dan Pembelajaran, 1(1), 27-38. http://dx.doi.org/10.22373/jk.v1i1.23271
Pramesti, R., Sutiarso, S., Setiawati, S., dan Asnawati, R. (2024). The Effect of Guided Discovery Learning Model on Students’ Mathematical Representation Ability. International Journal of Progressive Sciences and Technologies (IJPSAT), 47(1), 124-132. http://dx.doi.org/10.52155/ijpsat.v47.1.6630
Putra, I.S. (2022). Model Pembelajaran Inkuiri Dan Discovery Dalam Kemampuan Representasi Matematis Siswa. JPMI: Jurnal Pembelajaran Matematika Inovatif, 5(5), 1425-1446. https://doi.org/10.22460/jpmi.v5i5.11981
Putri, R. I. I., dan Zulkardi. (2020). Designing Pisa-Like Mathematics Task Using Asian Games Context. Journal on Mathematics Education Unsri, 11(1), 55-68. https://ejournal.unsri.ac.id/index.php/jme/article/view/9786
Rahayu, M.S.I., dan Kuswanto, H. (2021). The Effectiveness Of The Use Of The Android-Based Carom Games Comic Integrated To Discovery Learning In Improving Critical Thinking And Mathematical Representation Abilities. Journal of Technology and Science Education, 11(2), 270-283, https://doi.org/10.3926/jotse.1151
Santoso, T., Ahmar, D.S., Tukaedja, S.V., dan Haetami, A. (2024). The Effect of the Discovery Learning Model with a Scientific Approach on Student Representation Ability in the Buffer Solution. JPPIPA: Jurnal Penelitian Pendidikan IPA. 10(6), 3296-3302. https://doi.org/10.29303/jppipa.v10i6.7389
Sawilowsky, S. (2009). New Effect Size Rules of Thumb. Journal of Modern Applied Statistical Methods, 8(2), 467-474. https://jmasm.com/index.php/jmasm/article/view/452
Simangunsong, D. (2022) Studi Literatur Analisis Kemampuan Representasi Matematis Siswa Dengan Menggunakan Model Pembelajaran Discovery Learning. Jurnal Fibonaci: Jurnal Pendidikan Matematika, 3(2), 8-16. https://doi.org/10.24114/jfi.v3i2.40675
Suryadi, D. (2019). Kemampuan Representasi Matematis dalam Pembelajaran Matematika: Tantangan dan Solusi. Jurnal Pendidikan Matematika, 10(2), 89-102.
Viantri, N.Y., Hudiono, B., dan Nursangaji, A. (2014). Penerapan Metode Penemuan Terbimbing Untuk Meningkatkan Kemampuan Representasi Matematis Pada Materi Trigonometri. Jurnal Pendidikan dan Pembelajaran Khatulistiwa (JPPK), 3(12), 1-9. https://doi.org/10.26418/jppk.v3i12.8362
Wisda, A.R., Lambertus, dan Indrawati, W.A. (2024). Pengaruh Model Discovery Learning Terhadap Kemampuan Representasi Matematis Siswa. Jurnal Penelitian Pendidikan Matematika, 12(1), 155-166. http://dx.doi.org/10.36709/jppm.v12i1.47194
Yustinaningrum, B. (2021). Meta Analisis: Pengaruh Model Problem Based Learning Terhadap Kemampuan Pemecahan Masalah Matematis. Jurnal Padegogik, 4(2), 13-22. https://doi.org/10.35974/jpd.v4i2.2519
Annajmi, dan Afri, E. (2019). Pengaruh Penggunaan Lembar Aktivitas Siswa Berbasis Metode Penemuan Terbimbing terhadap Peningkatan Kemampuan Representasi Matematis Siswa. Mosharafa: Jurnal Pendidikan Matematika¸ 8(1), 95-106. https://doi.org/10.31980/mosharafa.v8i1.538
Bruner, J. S. (1961). The Act of Discovery. Harvard Educational Review, 31(1), 21-32.
Cohen, J. (1988). Statistical Power Analysis for the Behavioral Sciences (2nd Edition). Hillsdale, NJ: Lawrence Erlbaum Associates.
Diba, S.F., Bharata, H., dan Widyastuti. (2018). Pengaruh Model Discovery Learning Terhadap Kemampuan Representasi Matematis Siswa. Jurnal Pendidikan Matematika (JPM Unila), 6(3), 236-247. https://jurnal.fkip.unila.ac.id/index.php/MTK/article/view/15484
Hake, R. R. (1999). Analyzing Change/Gain Scores. American Educational Research Association (AERA).
Komala, E., Suryadi, D., dan Dasari, D. (2021). Kemampuan Representasi: Implementasi Pengembangan Desain Didaktis Pada Pembelajaran Matematika Di Sekolah Menengah Atas. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 10(4), 2179-2187. https://doi.org/10.24127/ajpm.v10i4.3971
Listyotami, M.K.,, Anwar, Y., Bramana, S.M. (2024). Efektivitas Model Discovery Learning Berbasis Kemampuan Koneksi Matematika, Berpikir Reflektif, dan Representasi Matematis Mahasiswa dalam Pembelajaran Online. Trigonometri: Jurnal Matematika, 1(1), 6-12. https://doi.org/10.30599/trigonometri.v1i1.3256
Maharani, D., Gunowibowo, P., dan Wijaya, A.P. (2019). Pengaruh Model Discovery Learning Terhadap Kemampuan Representasi Matematis Siswa. Jurnal Pendidikan Matematika Unila, 7(6), 717-727. https://jurnal.fkip.unila.ac.id/index.php/MTK/article/view/20009
Mahendra, N. R. (2019). Kemampuan Representasi Matematis Siswa Ditinjau Dari Adversity Quotient Pada Pembelajaran SAVI. Tesis Pendidikan Matematika Pascasarjana Universitas Negeri Semarang.
Mathew, J.L. (2022). Systematic Reviews and Meta-Analysis: A Guide for Beginners. Indian Pediatrics, 59, 320–330. https://link.springer.com/article/10.1007/s13312-022-2500-y
Muhamad, N. (2016). Pengaruh Metode Discovery Learning untuk Meningkatkan Representasi Matematis dan Percaya Diri Siswa. Jurnal Pendidikan UNIGA, 9(1), 75-90. http://dx.doi.org/10.52434/jp.v9i1.79
Mulyani, S., Syamsuddin, N., dan Zulkifli. (2024). Meningkatkan Kemampuan Representasi Matematis Pada Siswa MTS Melalui Discovery Learning Kompetensi. Jurnal Pendidikan dan Pembelajaran, 1(1), 27-38. http://dx.doi.org/10.22373/jk.v1i1.23271
Pramesti, R., Sutiarso, S., Setiawati, S., dan Asnawati, R. (2024). The Effect of Guided Discovery Learning Model on Students’ Mathematical Representation Ability. International Journal of Progressive Sciences and Technologies (IJPSAT), 47(1), 124-132. http://dx.doi.org/10.52155/ijpsat.v47.1.6630
Putra, I.S. (2022). Model Pembelajaran Inkuiri Dan Discovery Dalam Kemampuan Representasi Matematis Siswa. JPMI: Jurnal Pembelajaran Matematika Inovatif, 5(5), 1425-1446. https://doi.org/10.22460/jpmi.v5i5.11981
Putri, R. I. I., dan Zulkardi. (2020). Designing Pisa-Like Mathematics Task Using Asian Games Context. Journal on Mathematics Education Unsri, 11(1), 55-68. https://ejournal.unsri.ac.id/index.php/jme/article/view/9786
Rahayu, M.S.I., dan Kuswanto, H. (2021). The Effectiveness Of The Use Of The Android-Based Carom Games Comic Integrated To Discovery Learning In Improving Critical Thinking And Mathematical Representation Abilities. Journal of Technology and Science Education, 11(2), 270-283, https://doi.org/10.3926/jotse.1151
Santoso, T., Ahmar, D.S., Tukaedja, S.V., dan Haetami, A. (2024). The Effect of the Discovery Learning Model with a Scientific Approach on Student Representation Ability in the Buffer Solution. JPPIPA: Jurnal Penelitian Pendidikan IPA. 10(6), 3296-3302. https://doi.org/10.29303/jppipa.v10i6.7389
Sawilowsky, S. (2009). New Effect Size Rules of Thumb. Journal of Modern Applied Statistical Methods, 8(2), 467-474. https://jmasm.com/index.php/jmasm/article/view/452
Simangunsong, D. (2022) Studi Literatur Analisis Kemampuan Representasi Matematis Siswa Dengan Menggunakan Model Pembelajaran Discovery Learning. Jurnal Fibonaci: Jurnal Pendidikan Matematika, 3(2), 8-16. https://doi.org/10.24114/jfi.v3i2.40675
Suryadi, D. (2019). Kemampuan Representasi Matematis dalam Pembelajaran Matematika: Tantangan dan Solusi. Jurnal Pendidikan Matematika, 10(2), 89-102.
Viantri, N.Y., Hudiono, B., dan Nursangaji, A. (2014). Penerapan Metode Penemuan Terbimbing Untuk Meningkatkan Kemampuan Representasi Matematis Pada Materi Trigonometri. Jurnal Pendidikan dan Pembelajaran Khatulistiwa (JPPK), 3(12), 1-9. https://doi.org/10.26418/jppk.v3i12.8362
Wisda, A.R., Lambertus, dan Indrawati, W.A. (2024). Pengaruh Model Discovery Learning Terhadap Kemampuan Representasi Matematis Siswa. Jurnal Penelitian Pendidikan Matematika, 12(1), 155-166. http://dx.doi.org/10.36709/jppm.v12i1.47194
Yustinaningrum, B. (2021). Meta Analisis: Pengaruh Model Problem Based Learning Terhadap Kemampuan Pemecahan Masalah Matematis. Jurnal Padegogik, 4(2), 13-22. https://doi.org/10.35974/jpd.v4i2.2519
Published
2025-01-06
How to Cite
MARDANI, Maya; NURHANURAWATI, Nurhanurawati; ROSIDIN, Undang.
Meta Analysis: Enhancing Mathematical Representation Ability Through The Discovery Learning.
Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, [S.l.], v. 9, n. 1, p. 38-49, jan. 2025.
ISSN 2549-5070.
Available at: <https://e-journal.ivet.ac.id/index.php/matematika/article/view/3572>. Date accessed: 07 july 2025.
doi: https://doi.org/10.31331/medivesveteran.v9i1.3572.
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