Comparison of Problem-Based Learning and Discovery Learning To Improve Students' Mathematical Critical Thinking Skills

Anderson Leonardo Palinussa(1*), Johanis Stefanus Lakusa(2), La Moma(3)

(1) Univeritas Pattimura
(2) Universitas Pattimura
(3) Universitas Pattimura
(*) Corresponding Author

Abstract


The learning model applied in mathematics learning is expected to shape, develop and even improve students' critical thinking skills. This study aimed to: (1) analyze the differences in the improvement of students' mathematical critical thinking skills between students who learn to use the Problem Based Learning model and students who use the Discovery Learning model, and (2) to find out the interaction between the learning model and students' initial mathematical abilities towards improving their students' mathematical critical thinking ability. The research used a quasi-experimental type with a 2 x 3 factorial design that uses a two-way analysis of variance technique. This research took place at Public Senior High School 6 Ambon. The test instrument used was in the form of descriptive questions, which are based on indicators of mathematical critical thinking skills, according to Facione. Data analysis carried out in this research was in the form of normality test, homogeneity test, gain index analysis, and hypothesis testing. The research hypotheses were tested using Two-Way ANOVA. The results obtained indicate that: (1) there is no difference in increasing mathematical critical thinking skills between students who learn by using the Problem Based Learning learning model and students who learn by using the Discovery Learning learning model, and (2) there is a difference in the improvement of students' mathematical critical thinking skills based on their students' initial mathematical abilities, (3) learning models and students' initial mathematical abilities are believed to be 95 percent able to influence the improvement of students' mathematical critical thinking skills.

Keywords


critical thinking, problem based learning, discovery learning

Full Text:

PDF

References


Adesoji, F. A. (2008). Students’ Ability Levels and Effectiveness of Problem-Solving Instructional Strategy. Journal of Social Sciences, 17(1), 5–8. https://doi.org/10.1080/09718923.2008.11892628

Aloisi, C., & Callaghan, A. (2018). Threats to the validity of the collegiate learning assessment (Cla+) as a measure of critical thinking skills and implications for learning gain. Higher Education Pedagogies, 3(1), 57–82. https://doi.org/10.1080/23752696.2018.1449128

Back, D. A., Haberstroh, N., Antolic, A., Sostmann, K., Schmidmaier, G., & Hoff, E. (2014). Blended learning approach improves teaching in a problem-based learning environment in orthopedics - A pilot study. BMC Medical Education, 14(1). https://doi.org/10.1186/1472-6920-14-17

Batlolona, J R, Singerin, S., & Diantoro, M. (2020). Influence of Problem Based Learning Model on Student Mental Models. 16(June), 14–23. https://doi.org/10.15294/jpfi.v16i1.14253

Batlolona, John Rafafy, Diantoro, M., Wartono, & Latifah, E. (2019). Creative thinking skills students in physics on solid material elasticity. Journal of Turkish Science Education, 16(1), 48–61. https://doi.org/10.12973/tused.10265a

Burgess, A., Bleasel, J., Hickson, J., Guler, C., Kalman, E., & Haq, I. (2020). Team-based learning replaces problem-based learning at a large medical school. BMC Medical Education, 20(1), 1–8. https://doi.org/10.1186/s12909-020-02362-4

Ceylan, Ö. (2020). The effect of the waste management themed summer program on gifted students’ environmental attitude, creative thinking skills and critical thinking dispositions. Journal of Adventure Education and Outdoor Learning, 00(00), 1–13. https://doi.org/10.1080/14729679.2020.1859393

Choo, S. S. Y., Rotgans, J. I., Yew, E. H. J., & Schmidt, H. G. (2011). Effect of worksheet scaffolds on student learning in problem-based learning. Advances in Health Sciences Education, 16(4), 517–528. https://doi.org/10.1007/s10459-011-9288-1

Dolapcioglu, S., & Do?anay, A. (2022). Development of critical thinking in mathematics classes via authentic learning: an action research. International Journal of Mathematical Education in Science and Technology, 53(6), 1363–1386. https://doi.org/10.1080/0020739X.2020.1819573

Dwijayanti, I., Nugroho, A. A., & Pratiwi, Y. I. (2020). Meta-Analysis: the Effect of Problem Approach and Inquiry Approach Toward Students’ Mathematical Critical Thinking Skill Over the Past 4 Years. Al-Jabar : Jurnal Pendidikan Matematika, 11(1), 1–10. https://doi.org/10.24042/ajpm.v11i1.4944

Facione, A.P. (1994). Holistic Critical Thinking Scoring Rubric. California Academia Press, San Francisco.

Hake, R. R. (1998). Interactive-engagement versus traditional methods: A six-thousand-student survey of mechanics test data for introductory physics courses. American Journal of Physics, 66(1), 64–74. https://doi.org/10.1119/1.18809

Holmes, V. L., & Hwang, Y. (2016). Exploring the effects of project-based learning in secondary mathematics education. Journal of Educational Research, 109(5), 449–463. https://doi.org/10.1080/00220671.2014.979911

Hu, W., Jia, X., Plucker, J. A., & Shan, X. (2016). Effects of a Critical Thinking Skills Program on the Learning Motivation of Primary School Students. Roeper Review, 38(2), 70–83. https://doi.org/10.1080/02783193.2016.1150374

Hu, X., Zhang, H., Song, Y., Wu, C., Yang, Q., Shi, Z., Zhang, X., & Chen, W. (2019). Implementation of flipped classroom combined with problem-based learning: An approach to promote learning about hyperthyroidism in the endocrinology internship. BMC Medical Education, 19(1), 1–8. https://doi.org/10.1186/s12909-019-1714-8

Irons, A., & Thomas, P. (2014). Problem Based Learning in Digital Forensics. Innovation in Teaching and Learning in Information and Computer Sciences, 7507, 1–10. https://doi.org/10.11120/ital.2014.00013

Kertiyani, N. M. I., Fatimah, S., & Dahlan, J. A. (2022). Critical thinking skill through problem-based learning with problem posing within-solution. Journal of Mathematics and Science Teacher, 2(2), em017. https://doi.org/10.29333/mathsciteacher/12369

Laurens, T., Batlolona, F. A., Batlolona, J. R., & Leasa, M. (2018). How does realistic mathematics education (RME) improve students’ mathematics cognitive achievement? Eurasia Journal of Mathematics, Science and Technology Education, 14(2), 569–578. https://doi.org/10.12973/ejmste/76959

Leasa, M., Corebima, A. D., & Batlolona, J. R. (2020). The effect of learning styles on the critical thinking skills in natural science learning of elementary school students. Elementary Education Online, 19(4), 2086–2097. https://doi.org/10.17051/ilkonline.2020.763449

Leasa, M., Fenanlampir, A., Batlolona, J. R., & Saimima, A. S. (2021). Biosfer : Jurnal Pendidikan Biologi Problem-solving and creative thinking skills with the PBL model : The concept of the human circulatory system. 14(2), 154–166.

Liu, O. L., Mao, L., Frankel, L., & Xu, J. (2016). Assessing critical thinking in higher education: the HEIghtenTM approach and preliminary validity evidence. Assessment and Evaluation in Higher Education, 41(5), 677–694. https://doi.org/10.1080/02602938.2016.1168358

Loes, C. N., & Pascarella, E. T. (2017). Collaborative Learning and Critical Thinking: Testing the Link. Journal of Higher Education, 88(5), 726–753. https://doi.org/10.1080/00221546.2017.1291257

Resmol, K., & Leasa, M. (2022). The effect of learning cycle 5E + Powtoon on students ’ motivation : The concept of animal metamorphosis. JPBI (Jurnal Pendidikan Biologi Indonesia), 8(2), 121–128.

Rotgans, J. I., O’Grady, G., & Alwis, W. A. M. (2011). Introduction: Studies on the learning process in the one-day, one-problem approach to problem-based learning. Advances in Health Sciences Education, 16(4), 443–448. https://doi.org/10.1007/s10459-011-9299-y

Sachdeva, S., & Eggen, P.-O. (2021). Learners’ Critical Thinking About Learning Mathematics. International Electronic Journal of Mathematics Education, 16(3), em0644. https://doi.org/10.29333/iejme/11003

Slavin, R. E. (2015). Cooperative learning in elementary schools. Education 3-13, 43(1), 5–14. https://doi.org/10.1080/03004279.2015.963370

Somakim. (2011). Peningkatan Kemampuan Berpikir Kritis Matematis Siswa Sekolah Menengah Pertama Dengan Penggunaan Pendidikan Matematika Realistik. Forum Mipa, 14, 43.

Son, A. L., Darhim, & Fatimah, S. (2020). Students’ mathematical problem-solving ability based on teaching models intervention and cognitive style. Journal on Mathematics Education, 11(2), 209–222. https://doi.org/10.22342/jme.11.2.10744.209-222

Tuaputty, H. (2021). The Correlation between Critical Thinking Skills and Cognitive Learning Outcomes. 20(1), 302–317. https://doi.org/10.17051/ilkonline.2021.01.029

Umam, K., & Susandi, D. (2022). Critical thinking skills: Error identifications on students’ with APOS theory. International Journal of Evaluation and Research in Education, 11(1), 182–192. https://doi.org/10.11591/ijere.v11i1.21171

Utriainen, J., Marttunen, M., Kallio, E., & Tynjälä, P. (2017). University Applicants’ Critical Thinking Skills: The Case of the Finnish Educational Sciences. Scandinavian Journal of Educational Research, 61(6), 629–649. https://doi.org/10.1080/00313831.2016.1173092

van der Zanden, P. J. A. C., Denessen, E., Cillessen, A. H. N., & Meijer, P. C. (2020). Fostering critical thinking skills in secondary education to prepare students for university: teacher perceptions and practices. Research in Post-Compulsory Education, 25(4), 394–419. https://doi.org/10.1080/13596748.2020.1846313

Wan, Z. H., & Cheng, M. H. M. (2019). Classroom learning environment, critical thinking and achievement in an interdisciplinary subject: a study of Hong Kong secondary school graduates. Educational Studies, 45(3), 285–304. https://doi.org/10.1080/03055698.2018.1446331

Wang, J. S., Pascarella, E. T., Laird, T. F. N., & Ribera, A. K. (2014). How clear and organized classroom instruction and deep approaches to learning affect growth in critical thinking and need for cognition. Studies in Higher Education, 40(10), 1786–1807. https://doi.org/10.1080/03075079.2014.914911

Wartono, W., Hudha, M. N., & Batlolona, J. R. (2018). How are the physics critical thinking skills of the students taught by using inquiry-discovery through empirical and theorethical overview? Eurasia Journal of Mathematics, Science and Technology Education, 14(2), 691–697. https://doi.org/10.12973/ejmste/80632

Widyatiningtyas, R., Kusumah, Y. S., Sumarmo, U., & Sabandar, J. (2015). The impact of problem-based learning approach tosenior high school students’ mathematics critical thinking ability. Journal on Mathematics Education, 6(2), 30–38. https://doi.org/10.22342/jme.6.2.2165.107-116

Yuanita, P., Zulnaidi, H., & Zakaria, E. (2018). The effectiveness of Realistic Mathematics Education approach: The role of mathematical representation as mediator between mathematical belief and problem solving. PLoS ONE, 13(9), 1–20. https://doi.org/10.1371/journal.pone.0204847




DOI: http://dx.doi.org/10.30998/formatif.v13i1.15205

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Formatif: Jurnal Ilmiah Pendidikan MIPA

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Publisher:
Institute for Research and Community Services
(LPPM) Universitas Indraprasta PGRI

Kampus A Building 3, 2nd Floor | Jl. Nangka No. 58 C (TB. Simatupang), Kel. Tanjung Barat, Kec. Jagakarsa, Jakarta Selatan 12530, Jakarta, Indonesia. 


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

View My Stats