The Open-Ended Approach For Optimizing Students’ Mathematical Abilities: Does It Work? (A Meta-Analysis Study)

Niken Shofiana Dewi, Dadang Juandi

Abstract


This study aims to analyze the potential of applying an open-ended approach to students' math skills which contains five skills namely problem-solving, reasoning and proof, representation, communication, and connection. To really know the potential for this application to be effective, statistical analysis is needed so that more objective conclusions can be obtained. Therefore, this study used quantitative as research approach using the Meta-Analysis method. The primary studies obtained were quasi-experimental studies that examined the effect of the open-ended implementation on mathematical skills with a total of 32 articles. The articles were published from 2012 to 2023 on Google Scholar database, Semantic Scholar, and direct URL. This study provides results that the treatment effect of the open-ended approach to mathematical skill has a high effect size of 1.356 and the moderator variable that affects the heterogeneity of the study is the type of mathematical skill, which is most effective on mathematical representation skill. While the level of education and learning combination did not significantly influence the heterogeneity of the effect size. 

Keywords


Open-ended Approach; Mathematical Skills; Meta-analysis; Effect Size

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References


Achadiyah, L., Prastyo, D., Rusminati, S. H., Pgri, U., & Surabaya, A. B. (2022). Analisis Kemampuan Matematis Siswa dalam Pemecahan Masalah Matematika Luas dan Keliling Bangun Datar di Sekolah Dasar. Edukatif : Jurnal Ilmu Pendidikan, 4. https://doi.org/10.31004/edukatif.v4i4.3295

Akbar, S., Kodirun, & Busnawir. (2017). Pengaruh Pembelajaran Berbasis Masalah dengan Pendekatan Open-Ended terhadap Kemampuan Berpikir Kreatif Matematik Ditinjau dari Kemandirian Belajar Siswa SMA. Jurnal Pendidikan Matematika, 8(2), 117–128.

Amalo, S. I., Mamoh, O., & Salsinha, C. N. (2022). Pengaruh Pendekatan Open-Ended terhadap Kemampuan Komunikasi Matematis Siswa Kelas VIII SMP pada Materi SPLDV. Math-Edu: Jurnal Ilmu Pendidikan Matematika, 7(3), 175–184.

Anthony, G. (1996). Classroom Instructional Factors Affecting Mathematics Students’ Strategic Learning Behaviors. https://www.researchgate.net/publication/282613348

Bernard, R. M., Borokhovski, E., Schmid, R. F., Tamim, R. M., & Abrami, P. C. (2014). A meta-analysis of blended learning and technology use in higher education: From the general to the applied. Journal of Computing in Higher Education, 26(1), 87–122. https://doi.org/10.1007/s12528-013-9077-3

Borenstein, M., Hedges, L. V., Higgins, J. P. T., & Rothstein, H. R. (2009). Introduction to Meta-Analysis (First Edition). John Wiley & Sons, Ltd.

Borenstein, M., Hedges, L. V., Higgins, J. P. T., & Rothstein, H. R. (2010). A basic introduction to fixed-effect and random-effects models for meta-analysis. Research Synthesis Methods, 1(2), 97–111. https://doi.org/10.1002/jrsm.12

Cifarelli, V. V., & Cai, J. (2005). The evolution of mathematical explorations in open-ended problem-solving situations. The Journal of Mathematical Behavior, 24(3–4), 302–324. https://doi.org/10.1016/j.jmathb.2005.09.007

Cohen, L., Manion, L., & Morrison, K. (2018). Research Methods in Education (8th Edition). Routledge. https://doi.org/10.4324/9781315456539

Cooper, H., Hedges, L. V., & Valentine, J. C. (2019). The Handbook of Research Synthesis and Meta-Analysis (H. COOPER, L. V. HEDGES, & J. C. VALENTINE, Eds.). Russell Sage Foundation. https://doi.org/10.7758/9781610448864

Fatah, A., Suryadi, D., Sabandar, J., & Turmudi. (2016). Open-Ended Approach: An Effort in Cultivating Students’ Mathematical Creative Thinking Ability and Self-Esteem in Mathematics. Journal on Mathematics Education, 7(1), 11–20.

Hancock, C. L. (1995). Implementing the Assessment Standards for School Mathematics: Enhancing Mathematics Learning with Open-Ended Questions. The Mathematics Teacher, 88(6), 496–499. https://doi.org/10.5951/MT.88.6.0496

Haryani, R. (2016). Keefektivan Model Pembelajaran CIRC dengan Pendekatan Open-Ended Terhadap Kreativitas dan Komunikasi Matematis Siswa. Ekuivalen, 24(3).

Hendriana, H., Rahmat, U., & Sumarmo, S. (n.d.). MATHEMATICAL CONNECTION ABILITY AND SELF-CONFIDENCE (An experiment on Junior High School students through Contextual Teaching and learning with Mathematical Manipulative). In Mathematical Connection Ability and Self.

Jones, B. F., & Knuth, R. A. (1991). What does research say about mathematics? http://www.ncrl.org/sdrs/areas/stw_esys/2math.html

Juandi, D., Kusumah, Y. S., & Tamur, M. (2022). A Meta-Analysis of the last two decades of realistic mathematics education approaches. International Journal of Instruction, 15(1), 381–400. https://doi.org/10.29333/iji.2022.15122a

Juandi, D., & Tamur, M. (2020). Pengantar Analisis Meta. UPI Press.

Kemendikbud. (2016). Minister of education and culture regulation number 21 of 2016 concerning content standards for primary and secondary education.

Kurniati, N., & Sutiarso, S. (2021). The Effect of Problem Based Learning and Open-Ended Learning on Mathematics Creative Thinking Ability: A Meta Analysis Study. Jurnal Pendidikan MIPA, 22(1), 112–120. https://doi.org/10.23960/jpmipa/v22i1.pp112-120

Liberati, A., Altman, D. G., Tetzlaff, J., Mulrow, C., Gøtzsche, P. C., Ioannidis, J. P. A., Clarke, M., Devereaux, P. J., Kleijnen, J., & Moher, D. (2009). The PRISMA statement for reporting systematic reviews and meta-analyses of studies that evaluate healthcare interventions: explanation and elaboration. BMJ (Clinical Research Ed.), 339. https://doi.org/10.1136/bmj.b2700

Mahuda, I. (2017). Pembelajaran Kooperatif CO-OP CO-OP Dengan Pendekatan Open-Ended untuk Meningkatkan Kemampuan Pemecahan Masalah Matematis Siswa SMA. JPPM (Jurnal Penelitian Dan Pembelajaran Matematika), 20(2).

Medová, J., Bulková, K. O., & Čeretková, S. (2020). Relations between Generalization, Reasoning and Combinatorial Thinking in Solving Mathematical Open-Ended Problems within Mathematical Contest. Mathematics, 8(12), 2257. https://doi.org/10.3390/math8122257

Muchlis, A., Komara, E. S., Kartiwi, W., Nurhayati, Hendriana, H., & Hidayat, W. (2018). Meningkatkan Koneksi Matematis Siswa SMP Melalui Pendekatan Open-Ended dengan Setting Kooperatif Tipe NHT. Kalamatika: Jurnal Pendidikan Matematika, 3(1), 81–92.

Mullen, B., Muellerleile, P., & Bryant, B. (2001). Cumulative Meta-Analysis: A Consideration of Indicators of Sufficiency and Stability. Personality and Social Psychology Bulletin, 27(11), 1450–1462. https://doi.org/10.1177/01461672012711006

Munroe, L. (2015). The Open-Ended Approach Framework. European Journal of Educational Research, 4(3), 97–104. https://doi.org/10.12973/eu-jer.4.3.97

NCTM. (2000). Principles and Standards for School Mathematics. The National Council of Teachers of Mathematics, Inc.

NCTM. (2003). Standards for Secondary Mathematics Teacher. The National Council of Teachers of Mathematics, Inc.

Palah, S., Maulana, M., & Aeni, A. N. (2017). Pengaruh Pendekatan Open-Ended Berstrategi M-RTE terhadap Kemampuan Berpikir Kreatif Matematis Siswa pada Materi Persegi Panjang. Jurnal Pena Ilmiah, 2(1), 1161–1170.

Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An Analysis of Elementary School Students’ Difficulties in Mathematical Problem Solving. Procedia - Social and Behavioral Sciences, 116, 3169–3174. https://doi.org/10.1016/j.sbspro.2014.01.728

Putu Hendra Widiartana, I. (2018). The Effect of Open-Ended Approach Towards Students’ Mathematical Reasoning. Journal of Physics: Conference Series, 1028(1), 1–7. https://doi.org/10.1088/1742-6596/1028/1/012134

Radford, L. (2008). Iconicity and contraction: a semiotic investigation of forms of algebraic generalizations of patterns in different contexts. ZDM, 40(1), 83–96. https://doi.org/10.1007/s11858-007-0061-0

Rahmah, M. A., & Rohaendi, S. (2020). Peningkatan Kemampuan Berpikir Kreatif Siswa SMA dengan Pendekatan Open-Ended. Jurnal Penelitian Pembelajaran Matematika, 13(1), 61–72.

Robinson, K. A., Saldanha, I. J., & Mckoy, N. A. (2011). Development of a framework to identify research gaps from systematic reviews. Journal of Clinical Epidemiology, 64(12), 1325–1330. https://doi.org/10.1016/j.jclinepi.2011.06.009

Rothstein, H. R., Sutton, A. J., & Borenstein, M. (2005). Publication Bias in Meta‐Analysis (H. R. Rothstein, A. J. Sutton, & M. Borenstein, Eds.). Wiley. https://doi.org/10.1002/0470870168

Ruseffendi, E. T. (1991). Pengantar Kepada Membantu Guru Mengembangkan Kompetensinya dalam Pendidikan Matematika untuk Meningkatkan CBSA. Tarsito.

Saldanha, I. J., Wilson, L. M., Bennett, W. L., Nicholson, W. K., & Robinson, K. A. (2013). Development and pilot test of a process to identify research needs from a systematic review. Journal of Clinical Epidemiology, 66(5), 538–545. https://doi.org/10.1016/j.jclinepi.2012.07.009

Saputri, V., & Kamsurya, R. (2020). Mathematical Representation Ability and Mathematics Self Efficacy in CORE Learning Models with Open-Ended Approach. ANARGYA: Jurnal Ilmiah Pendidikan Matematika, 3(2). http://jurnal.umk.ac.id/index.php/anargya

Shimada, S. (1977). Open-end Approach in Arithmetic and Mathematics: A New Proposal toward Teaching Improvement. Mizuumi Shobou.

Shimada, S., & Becker, J. P. (1997). The Open-Ended Approach: A New Proposal for Teaching Mathematics. National Council of Teachers of Mathematics.

Sternberg, R. J., & Funke, Joachim. (2019). Psychology of Human Thought. Heidelberg University Publishing.

Sterne, J. A. C., & Egger, M. (2001). Funnel plots for detecting bias in meta-analysis. Journal of Clinical Epidemiology, 54(10), 1046–1055. https://doi.org/10.1016/S0895-4356(01)00377-8

Tamur, M., Juandi, D., & Adem, A. M. G. (2020). Realistic Mathematics Education in Indonesia and Recommendations for Future Implementation: A Meta-Analysis Study. JTAM | Jurnal Teori Dan Aplikasi Matematika, 4(1), 17. https://doi.org/10.31764/jtam.v4i1.1786

Tarigan, M. S., Azis, Z., & Nasution, M. D. (2022). Improved Mathematical Representation of Students With The Open-Ended Approach Article Info ABSTRACT. Journal of Mathematics Education and Application (JMEA), 1(3), 130–134. https://doi.org/10.30596%2Fjmea.v1i3.12096

Tinungki, G. M. (2015). The Role of Cooperative Learning Type Team Assisted Individualization to Improve the Students’ Mathematics Communication Ability in the Subject of Probability Theory. Journal of Education and Practice, 6(32). www.iiste.org

Ulya, H., & Rahayu, R. (2021). Students’ mathematical representation ability in Kudus local wisdom-based Open-Ended Learning. Journal of Physics: Conference Series, 1823(1), 012102. https://doi.org/10.1088/1742-6596/1823/1/012102

Vale, C., Widjaja, W., Herbert, S., Bragg, L. A., & Loong, E. Y.-K. (2017). Mapping Variation in Children’s Mathematical Reasoning: The Case of ‘What Else Belongs?’ International Journal of Science and Mathematics Education, 15(5), 873–894. https://doi.org/10.1007/s10763-016-9725-y

Viseu, F., & Oliveira, I. B. (2012). Open-ended Tasks in the Promotion of Classroom Communication in Mathematics. In International Electronic Journal of Elementary Education (Vol. 4, Issue 2). www.iejee.com

Wahyuni, S., Dahlan, J. A., & Juandi, D. (2021). Students’ mathematics problem solving ability through Model Eliciting Activities (MEAs). Journal of Physics: Conference Series, 1882(1). https://doi.org/10.1088/1742-6596/1882/1/012079

Widodo, S., Katminingsih, Y., & Nirwono, B. (2021). Meta Analisis: Pengaruh Model Pembelajaran Berdasarkan Masalah terhadap Kemampuan Berpikir Kreatif. Indonesian Journal of Educational Development, 1(4), 567–577. https://doi.org/10.5281/zenodo.4559716

Yulita, T., Suyitno, H., & Sugiman. (2021). Pembelajaran Matematika Melalui Pendekatan Open-Ended dengan Bantuan Power Point untuk Meningkatkan Kemampuan Pemecahan Masalah di Masa Pandemi. Jurnal Cendekia: Jurnal Pendidikan Matematika, 5(2), 1588–1598.




DOI: http://dx.doi.org/10.26737/jetl.v9i1.4928

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