Jurnal Riset Pendidikan Matematika


Case-based learning, mathematical connection, problem-based learning

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Problem-Based Learning (PBL) and Case-Based Learning (CBL) are two typical learning approaches that involve problem-solving activities, likely to encourage students' mathematical connection abilities. This study aimed to describe the differences in mathematical connection ability between students studying with the PBL and those who used the CBL approach. A quasi-experiment with a pretest-post-test non-equivalent group design was conducted for the purpose. The data collection method was non-routine problems about mathematical connections. The data was analyzed using inferential statistics. Paired sample t-tests adopted were to examine the difference between pretest and post-test data in each experimental class, and independent sample t-tests were to verify the difference in the effectiveness of the two learning approaches. The results showed that the PBL and CBL approach enhanced mathematical connection ability. However, there was no significant difference in the mathematical connection ability between students who studied with the PBL and CBL approaches. The results, furthermore, suggest teachers construct appropriate learning to foster mathematical connection ability.

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Agustini, R. Y., Suryadi, D., & Jupri, A. (2017). Construction of Open-Ended Problems for Assessing Elementary Student Mathematical Connection Ability on Plane Geometry. Journal of Physics: Conf. Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012148

Arends, R., & Kilcher, A. (2010). Teaching for Student Learning: Becoming an Accomplished Teacher (1st ed.). Routledge.

Bagdasarov, Z., Harkrider, L. N., Johnson, J. F., Macdougall, A. E., Devenport, L. D., Connelly, S., Mumford, M. D., Peacock, J., & Thiel, C. E. (2012). An Investigation of Case-Based Instructional Strategies on Learning, Retention, and Ethical Decision-Making. Journal of Empirical Research on Human Research Ethics: JERHRE, 7(4), 79–86. https://doi.org/10.1525/JER.2012.7.4.79

Bahr, D. L., & Garcia, L. A. de. (2010). Elementary Mathematics is Anything but Elementary: Content and Methods from a Developmental Perspective. Wadsworth Cengage Learning.

Burgess, A., Matar, E., Roberts, C., Haq, I., Wynter, L., Singer, J., Kalman, E., & Bleasel, J. (2021). Scaffolding medical student knowledge and skills: team-based learning (TBL) and case-based learning (CBL). BMC Medical Education, 21(238), 1-14. https://doi.org/10.1186/s12909-021- 02638-3

Ching, Y.-H. (2014). Exploring the Impact of Role-Playing on Peer Feedback in an Online Case-Based Learning Activity. International Review of Research in Open and Distributed Learning, 15(3), 292–311. https://doi.org/10.19173/irrodl.v15i3.1765

Dewi, E. R., & Marsigit. (2018). The Implementation of Case-Based Learning to Improve Students’ Mathematical Attitude. AIP Conference Proceedings, 2014(September). https://doi.org/10.1063/1.5054434

Dewi, E. R., & Marsigit, M. (2019). The Implementation of Problem-Based Learning Viewed from Mathematical Connection Ability. Journal of Physics: Conference Series, 1157(4). https://doi.org/10.1088/1742-6596/1157/4/042059

Garvey, M. T., O’Sullivan, M., & Blake, M. (2000). Multidisciplinary Case-Based Learning for Undergraduate Students. European Journal of Dental Education, 4(4), 165–168. https://doi.org/10.1034/J.1600-0579.2000.040404.X

Harman, T., Bertrand, B., Greer, A., Pettus, A., Jennings, J., Wall-Bassett, E., & Babatunde, O. T. (2015). Case-Based Learning Facilitates Critical Thinking in Undergraduate Nutrition Education: Students Describe the Big Picture. Journal of the Academy of Nutrition and Dietetics, 115(3), 378– 388. https://doi.org/10.1016/J.JAND.2014.09.003

Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The Role of Problem-Based Learning to Improve Students ’ Mathematical Problem-Solving Ability and Self Confidence. Journal on Mathematics Education, 9(2), 291–300. https://doi.org/10.22342/jme.9.2.5394.291-300

Hendriana, H., Slamet, U. R., & Sumarmo, U. (2014). Mathematical Connection Ability and Self- Confidence (An Experiment on Junior High School Students Through Contextual Teaching and Learning with Mathematical Manipulative). International Journal of Education, 8(1), 1–11. https://doi.org/10.17509/IJE.V8I1.1726

Istihapsari, V. (2017). Meningkatkan Pemahaman Konsep Materi Matematika SMP Menggunakan Model Pembelajaran Kooperatif Tipe Jigsaw pada Mahasiswa Prodi Pendidikan Matematika UAD [Improving the Understanding of Mathematics Material Concepts in Junior High Schools Using the Jigsaw . AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika Dan Matematika Terapan, 7(1), 83–98. https://doi.org/10.12928/ADMATHEDU.V7I1.7404

Kaur, G., Rehncy, J., Kahal, K. S., Singh, J., Sharma, V., Matreja, P. S., & Grewal, H. (2020). Case- Based Learning as an Effective Tool in Teaching Pharmacology to Undergraduate Medical Students in a Large Group Setting. Journal of Medical Education and Curricular Development, 7, 1–6. https://doi.org/10.1177/2382120520920640

Kenedi, A. K., Helsa, Y., Ariani, Y., Zainil, M., & Hendri, S. (2019). Mathematical Connection of Elementary School Students to Solve Mathematical Problems. Journal on Mathematics Education, 10(1), 69–79. https://doi.org/10.22342/jme.10.1.5416.69-80

Linto, R. L., Elniati, S., & Rizal, Y. (2012). Kemampuan Koneksi Matematis dan Metode Pembelajaran Quantum Teaching dengan Peta Pikiran [Mathematical Connection Ability and Quantum Teaching Learning Methods with Mind Maps]. Jurnal Pendidikan Matematika, 1(1), 83–87. https://www.e- jurnal.com/2015/03/kemampuan-koneksi-matematis-dan-metode.html

Macpherson, I., Roqué, M., Martín-Sánchez, J., & Segarra, I. (2022). Analysis in the ethical decision- making of dental, nurse and physiotherapist students, through case-based learning. European Journal of Dental Education, 26(2), 277-287. https://doi.org/10.1111/eje.12700

Mayer, R. E. (2002). Promise of Educational Psychology, The, Volume II: Teaching for Meaningful Learning | Pearson: Vol. II. Merrill Prentice Hall. https://www.pearson.com/us/higher- education/program/Mayer-Promise-of-Educational-Psychology-The-Volume-II-Teaching-for- Meaningful-Learning/PGM180343.html

McLean, S. F. (2016). Case-Based Learning and its Application in Medical and Health-Care Fields: A Review of Worldwide Literature. Journal of Medical Education and Curricular Development, 3, JMECD.S20377. https://doi.org/10.4137/jmecd.s20377

Napitupulu, E. E., Suryadi, D., & Kusumah, Y. S. (2016). Cultivating Upper Secondary Students ’ Mathematical Reasoning-Ability and Attitude Towards Mathematics Through Problem-Based Learning. Journal on Mathematics Education, 7(2), 117–128. https://doi.org/10.22342/jme.7.2.3542.117-128

NCTM. (2014). Principles to Actions: Ensuring Mathematical Success for All. The National Council of Teachers of Mathematics, Inc.

Nurhasanah, F., Kusumah, Y. S., & Sabandar, J. (2017). Concept of Triangle: Examples of Mathematical Abstraction in Two Different Contexts. International Journal on Emerging Mathematics Education, 1(1), 53–70. https://doi.org/10.12928/IJEME.V1I1.5782

Nurlaily, V. A., Soegiyanto, H., & Usodo, B. (2019). Elementary School Teacher’s Obstacles in the Implementation of Problem-Based Learning Model in Mathematics Learning. Journal on Mathematics Education, 10(2), 229–238. https://doi.org/10.22342/jme.10.2.5386.229-238

OECD. (2019a). PISA 2018 Results Combined Executive Summaries Volume I, II & III: What School Life Means for Students’ Lives. Paris, France: OECD Publishing.

OECD. (2019b). PISA PISA 2018 Assessment and Analytical Framework. Paris, France: OECD Publishing.

Padmavathy, R. D., & Mareesh, K. (2013). Effectiveness of Problem Based Learning In Mathematics. International Multidisciplinary E-Journal, II(I), 45–51. www.shreeprakashan.com

Qian, Q., Yan, Y., Xue, F., Lin, J., Zhang, F., & Zhao, J. (2021). Coronavirus disease 2019 (COVID- 19) learning online: A flipped classroom based on micro-learning combined with case-based learning in undergraduate medical students. Advances in Medical Education and Practice, 12, 835- 842. https://doi.org/10.2147/AMEP.S294980

Raza, S. A., Qazi, W., & Umer, B. (2020). Examining the impact of case-based learning on student engagement, learning motivation and learning performance among university students. Journal of Applied Research in Higher Education, 12(3) 517-533. https://doi.org/10.1108/JARHE-05-2019- 0105

Rismawati, M., Irawan, E. B., & Susanto, H. (2016). Analisis Kesalahan Koneksi Matematis Siswa pada Materi Sistem Persamaan Linier Dua Variabel [Error Analysis of Students’ Mathematical Connections on Two-Variable Linear Equation System Material]. Konferensi Nasional Penelitian Matematika Dan Pembelajarannya (KNPMP I), 12. https://publikasiilmiah.ums.ac.id/bitstream/handle/11617/6951/13_103_Makalah Rev Melida Rismawati.pdf?sequence=1

Romli, M. (2016). Profil Koneksi Matematis Siswa Perempuan SMA dengan Kemampuan Matematika Tinggi dalam Menyelesaikan Masalah Matematika [Profile of Mathematical Connection of Female High School Students with High Mathematical Ability in Solving Mathematical Problems]. Jurnal Ilmiah Pendidikan Matematika, 1(2). https://doi.org/10.26877/JIPMAT.V1I2.1241

Savery, J. R. (2015). Overview of problem-based learning: definitions and distinctions. In Andrew Walker, Heather Leary, Cindy Hmelo-Silver, & Peggy A. Ertmer (Eds.), Essential Readings in Problem-Based Learning: Exploring and Extending the Legacy of Howard S. Barrows (p. 399). Purdue University Press. https://doi.org/10.2307/j.ctt6wq6fh

Seibert, S. A. (2021). Problem-based learning: A strategy to foster generation Z's critical thinking and perseverance. Teaching and Learning in Nursing, 16(1), 85-88.


Siregar, N. D., & Surya, E. (2017). Analysis of Students ’ Junior High School Mathematical Connection Ability Analysis of Students ’ Junior High School Mathematical Connection Ability. International Journal of Sciences: Basic and Applied Research (IJSBAR), 33(2), 309–320. https://gssrr.org/index.php/JournalOfBasicAndApplied/article/download/7363/3471

Srinivasan, M., Wilkes, M., Stevenson, F., Nguyen, T., & Slavin, S. (2007). Comparing problem-based learning with case-based learning: effects of a major curricular shift at two institutions. Academic Medicine: Journal of the Association of American Medical Colleges, 82(1), 74–82. https://doi.org/10.1097/01.ACM.0000249963.93776.AA

Stacey, K. (2011). The PISA View of Mathematical Literacy in Indonesia. Journal on Mathematics Education, 2(2), 95–126. https://doi.org/10.22342/JME.2.2.746.95-126

Sari, Y. I., Sumarmi, S., Utama, D. H., Astina, I. K. (2021). The effect of problem based learning on problem solving and scientific writing skills. International Journal of Instruction, 14(2), 11-26. https://doi.org/10.29333/iji.2021.1422a

Suparman, Juandi, D., & Tamur, M. (2021). Problem-Based Learning for Mathematical Critical Thinking Skills: A Meta-Analysis. Journal of Hunan University (Natural Sciences), 48(2), 133– 144.

Surya, E., & Syahputra, E. (2017). Improving High-Level Thinking Skills by Development of Learning PBL Approach on the Learning Mathematics for Senior High School Students. International Education Studies, 10(8), 12–20. https://doi.org/10.5539/ies.v10n8p12

Syarafina, D. N., Dewi, E. R., & Amiyani, R. (2017). Penerapan Case Based Learning (CBL) sebagai Pembelajaran Matematika yang Inovatif. Seminar Matematika Dan Pendidikan Matematika UNY “Membudayakan Literasi Matematika Di Era Digital,” 243–250. http://seminar.uny.ac.id/semnasmatematika/sites/seminar.uny.ac.id.semnasmatematika/files/full/ Cover%20Isi%20Prosiding%202017.pdf

Thistlethwaite, J. E., Davies, D., Ekeocha, S., Kidd, J. M., MacDougall, C., Matthews, P., Purkis, J., & Clay, D. (2012). The Effectiveness of Case-Based Learning in Health Professional Education. A BEME Systematic Review: BEME Guide No. 23. Medical Teacher, 34(6). https://doi.org/10.3109/0142159X.2012.680939

Wang, H., Xuan, J., Liu, L., Shen, X., & Xiong, Y. (2021). Problem-based learning and case-based learning in dental education. Annals of Translational Medicine, 9(14), 1137-1137.


Wihaskoro, M. A. (2015). Keefektifan Pendekatan Open-Ended dan Pendekatan Berbasis Masalah Ditinjau dari Ketuntasan Belajar, Kemampuan Koneksi, dan Kemampuan Komunikasi Matematis Siswa Sekolah Menengah Atas [The Effectiveness of the Open-Ended Approach and Problem- Based Approach . Universitas Negeri Yogyakarta.

Williams, B. (2005). Case-Based Learning-a Review of the Literature: Is There Scope for this Educational Paradigm in Prehospital Education? Emergency Medical Journal, 22(1), 577–581. https://doi.org/10.1136/emj.2004.022707

Wulandari, F. E., & Shofiyah, N. (2018). Problem-based learning: Effects on student’s scientific reasoning skills in science. Journal of Physics: Conference Series, 1006(1). https://doi.org/10.1088/1742-6596/1006/1/012029

Yadav, A., Vinh, M., Shaver, G. M., Meckl, P., & Firebaugh, S. (2014). Case-Based Instruction: Improving Students’ Conceptual Understanding through Cases in a Mechanical Engineering Course. Journal of Research in Science Teaching, 51(5), 659–677. https://doi.org/10.1002/TEA.21149

Zhao, W., He, L., Deng, W., Zhu, J., Su, A., Zhang, Y. (2020). The effectiveness of the combined problem-based learning (PBL) and case-based learning (CBL) teaching method in the clinical practical teaching of thyroid disease. BMC Medical Education, 20(381), 1-10. https://doi.org/10.1186/s12909-020-02306-y