Improving Students' Critical Thinking Skills through an Ethnomathematically Controversial Problem-Based Multimodal Approach

Authors

  • I Putu Pasek Suryawan Universitas Pendidikan Ganesha
  • Padrul Jana Universitas PGRI Yogyakarta
  • I Gusti Ngurah Pujawan Universitas Pendidikan Ganesha
  • I Gusti Nyoman Yudi Hartawan Universitas Pendidikan Ganesha
  • Putu Eka Widyantini Putri Universitas Pendidikan Ganesha

DOI:

https://doi.org/10.47750/pegegog.13.03.33

Keywords:

Digital Mathematics Learning, Multimodal Approach, Controversial Issues, Balinese Cultural Mathematics, Critical Thinking Skill

Abstract

Learning mathematics through digitalization is predicted to improve students' learning styles and build critical thinking skills. The controversial problem-based multimodal approach with ethnomathematics is capable of improving those skills. However, there is no empirical evidence that the combination of that approach and ethnomathematics (Balinese culture) in digital learning can improve students' critical thinking skills. This study aims to comprehend the impact of digital learning with a controversial problem-based multimodal approach, incorporating Meru and Jejaitan Bali ethnomathematics on students' critical thinking skills. Quasi-experimental research uses a randomized complete block design applied to measure students' initial abilities, namely students with low, medium, and high initial abilities. The population consists of 202 grade IX students, with 48 in the experimental group and 52 in the control group. The ANOVA test results demonstrated that using this approach was effective in improving students' critical thinking skills. According to the t-test results, students in the experimental group had significantly higher critical thinking skills than students in the control group. Tukey's test shows that critical thinking ability varies depending on the student's beginning ability. In conclusion, this combination is effective in improving students' critical thinking skills, especially on the topic of geometry.

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References

Abiam, P., Abonyi, O., Ugama, J., & Okafor, G. (2016). Effects of Ethnomathematics-based Instructional Approach on Primary School Pupils’ Achievement in Geometry. Journal of Scientific Research and Reports,9(2),1–15. https://doi.org/10.9734/jsrr/2016/19079

Al Fajri, T. A. (2018). Pentingnya Penggunaan Pendekatan Multimodal Dalam Pembelajaran. WASKITA: Jurnal Pendidikan Nilai dan Pembangunan Karakter, 2(1), 57–72. https://doi.org/10.21776/ub.waskita.2018.002.01.5

Albano, G., & Ascione, R. (2008). E-Learning and Affective Student’s Profile in Mathematics. International Journal of Emerging Technologies in Learning (IJET), 3(1), 6–13. https://doi.org/10.3991/ijet.v3i1.755

Al Fajri, T. A. (2018). Pentingnya Penggunaan Pendekatan Multimodal dalam Pembelajaran. WASKITA: Jurnal Pendidikan Nilai Dan Pembangunan Karakter, 2(1), 57–72. https://doi.org/10.21776/ub.waskita.2018.002.01.5

Almusharraf, N. M., & Khahro, S. H. (2020). Students’ Satisfaction with Online Learning Experiences during the COVID-19 Pandemic. International Journal of Emerging Technologies in Learning, 15, 246–267. https://doi.org/10.3991/ijet.v15i21.15647

Altun, S. D. G., & Konyalioglu, A. C. (2019). The influence of mistake-handling activities on mathematics education: An example of definitions. European Journal of Educational Research, 8(2), 467–476. https://doi.org/https://doi.org/10.12973/eujer.8.2.467

Apsari, R. A., Putri, R. I. I., Sariyasa, Abels, M., & Prayitno, S. (2020). Geometry representation to develop algebraic thinking: A recommendation for a pattern investigation in pre-algebra class. Journal on Mathematics Education, 11(1), 45–58. https://doi.org/10.22342/jme.11.1.9535.45-58

Bismala, L., & Manurung, Y. H. (2021). Student satisfaction in e-learning along the COVID-19 pandemic with importance performance analysis. International Journal of Evaluation and Research in Education (IJERE), 10(3), 753. https://doi.org/10.11591/ijere.v10i3.21467

Bulte, A. M. ., Westbroek, H. B., Jong, O. de, & Pilot, A. (2006). A research approach to designing chemistry education using authentic practices as contexts. International Journal of Science Education, 28(9), 1063–1086.

Cheng, M. H. M., & Wan, Z. H. (2017). Exploring the effects of classroom learning environment on critical thinking skills and disposition: A study of Hong Kong 12th graders in Liberal Studies. Thinking Skills and Creativity. https://doi.org/https: //doi.org/10.1016/j.tsc.2017.03.001

Current Trends in Ethnomathematics. (2016). Revista Latinoamericana de Etnomatemática, 9(2), 4–11.

De Leng, Bas and Dolmans, Diana and Jöbsis, Quirijn and Muijtjens, Arno and Van der Vleuten, C. (2009). Exploration of an e-learning model to foster critical thinking on basic science concepts during work placements. Computers & Education, 53, 1–13. https://doi.org/10.1016/j.compedu.2008.12.012

Dekker, T. J. (2020). Teaching critical thinking through engagement with multiplicity. Thinking Skills and Creativity.

https://doi.org/https: //doi.org/10.1016/j.tsc.2020.100701

Di Pietro, G., Biagi, F., Costa, P., Karpiński, Z., & Mazza, J. (2020). The likely impact of COVID-19 on education: Reflections based on the existing literature and recent international datasets. In Publications Office of the European Union, Luxembourg: Vol. EUR 30275 (Issue JRC121071). https://doi.org/10.2760/126686

Din, M. (2020). Evaluating university students’ critical thinking ability as reflected in their critical reading skill: A study at bachelor level in Pakistan. Thinking Skills and Creativity. https://doi.org/https://doi.org/ 10.1016/j.tsc.2020.100627

Fani, E. T. R., Baiduri, B., & Rosyadi, A. A. P. (2018). Analysis Of Students’ Critical Thinking and Independence of Learning Through Problem-Based Learning. Mathematics Education Journal. https://doi.org/https://doi.org/10.22219/mej.v2i2.6500

Goldberg, T., & Savenije, G. M. (2018). Teaching Controversial Historical Issues. In The Wiley International Handbook of History Teaching and Learning. 503–526. https://doi.org/https://doi.org/10.1002/978111910081 2.ch19

Gülburnu, M., & Yildirim, K. (2021). Development and implementation of mathematics attitudes scale for the primary and secondary students. Pegem Egitim ve Ogretim Dergisi, 11(4), 177–184. https://doi.org/10.47750/pegegog.11.04.17

Ishartono, N., Nurcahyo, A., Waluyo, M., Prayitno, H. J., & Hanifah, M. (2022). Integrating GeoGebra into the flipped learning approach to improve students’ self-regulated learning during the covid-19 pandemic. Journal on Mathematics Education, 13(1), 69–86. https://doi.org/10.22342/jme.v13i1.pp69-86

Jannah Akmal, Miftahul, & Santaria, R. (2020). Mutu Pendidikan Era Revolusi 4.0 di Tengah Covid-19.[The Quality of Education in the Revolutionary Era 4.0 in the Middle of Covid-19].Journal of Teaching and Learning Research, 2(2), 1–12. http://ejournal.iainpalopo.ac.id/index.php/JTLR/article/view/1415

Juniati, D., & Budayasa, I. K. (2017). Pengembangan Bahan Ajar Geometri Fraktal Berbasis Eksperimen Untuk Meningkatkan Kompetensi Mahasiswa. Jurnal Cakrawala Pendidikan, 36(1), 24–33. https://doi.org/10.21831/cp.v36i1.11660

Junpeng, P., Marwiang, M., Chiajunthuk, S., Suwannatrai, P., Chanayota, K., Pongboriboon, K., Tang, K. N., & Wilson, M. (2020). Validation of a digital tool for diagnosing mathematical proficiency. International Journal of Evaluation and Research in Education, 9(3), 665–674. https://doi.org/10.11591/ijere.v9i3.20503

Kello, K. I. (2016). Sensitive and controversial issues in the classroom: Teaching history in a divided society. In Teachers and Teaching: Theory and Practice. https://doi.org/https://doi.org/10.1080/13540602.2015 .1023027

Khoiriyah, N., Abdurrahman, A., & Wahyudi, I. (2018). Jurnal riset dan kajian pendidikan fisika. Jurnal Riset Dan Kajian Pendidikan Fisika, 5(2), 53–62.

Lailiyah, S., Hayat, S., Urifah, S., & Setyawati, M. (2020). LEVELS OF STUDENTS’ MATHEMATICS ANXIETIES AND THE IMPACTS ON ONLINE MATHEMATICS LEARNING. Jurnal Cakrawala Pendidikan, 39(2), 107–119. https://doi.org/10.21831/cp.v39i2.28173

Lase, D. (2019). Jurnal sundermann. Journal Sunderman, 1(1), 28–43. 10.1109/ITHET.2016.7760744

Lisnani, Zulkardi, Indra Putri, R. I., & Somakim. (2020). Etnomatematika : Pengenalan Bangun Datar Melalui Konteks Museum Negeri Sumatera Selatan Balaputera Dewa. 9 (September), 359–370.

Mardiana, D., & Umiarso. (2020). Merdeka Belajar di Tengah Pandemi COVID-19 : Studi di Sekolah Menengah Pertama di IndonesiaJournal of Educational Studies] 13(2), 78–91.

Meryansumayeka, Zulkardi, Putri, R. I. I., & Hiltrimartin, C. (2022). Designing geometrical learning activities assisted with ICT media for supporting students’ higher order thinking skills. Journal on Mathematics Education, 13(1), 135–148. https://doi.org/10.22342/jme.v13i1.pp135-148

Mowla, S., & Kolekar, S. V. (2020). Development and integration of E-learning services using rest APIs. International Journal of Emerging Technologies in Learning, 15(4), 53–72. https://doi.org/10.3991/ijet.v15i04.11687

Mueller, M., & Yankelewitz, D. (2014). Fallacious argumentation in student reasoning: Are there benefits? European Journal of Science and Mathematics Education, 2(1), 27–38. https://doi.org/10.30935/scimath/9398

Murtafiah, W., Sa’dijah, C., Candra, T. D., Susiswo, & As’ari, A. R. (2018). Exploring the explanation of pre-service teacher in mathematics teaching practice. Journal on Mathematics Education. https://doi.org/https://doi.org/10.22342/ jme.9.2.5388.259-270

Naufal, M. A., Abdullah, A. H., Osman, S., Abu, M. S., Ihsan, H., & Rondiyah. (2021). Reviewing the Van Hiele model and the application of metacognition on geometric thinking. International Journal of Evaluation and Research in Education, 10(2), 597–605. https://doi.org/10.11591/ijere.v10i2.21185

Nugroho, P. B., Nusantara, T., As’ari, A. R., Sisworo, Hidayanto, E., & Susiswo. (2018). Critical thinking disposition: Students skeptic in dealing with ill-logical mathematics problem. International Journal of Instruction, 11(3), 635–648. https://doi.org/10.12973/iji.2018.11343a

O’Halloran, K. L., Tan, S., Smith, B. A., & Podlasov, A. (2011). Multimodal analysis within an Interactive Software Environment: Critical Discourse Perspectives. Scholar Bank NUS Repository, May 2011. https://doi.org/10.1080/17405904.2011.558687

Olsson, D. M. (2018). Replicated Randomized Complete Block Design. Journal of Quality Technology, 10(1). https://doi.org/https://doi.org/10.1080/00224065.1978.11980811

Özgen, K. (2021). Checklist on question design for mathematical literacy. Pegem Egitim ve Ogretim Dergisi, 11(1), 259–298. https://doi.org/10.14527/PEGEGOG.2021.008

Pan, X., & Zhang, Z. (2020). An empirical study of application of multimodal approach to teaching reading in EFL in senior high school. International Journal of Emerging Technologies in Learning, 15(2), 98–111. https://doi.org/10.3991/ijet.v15i02.11267

Papageorgiou, V., & Lameras, P. (2017). Multimodal teaching and learning with the use of technology: Meanings, practices and discourses. 14th International Conference on Cognition and Exploratory Learning in the Digital Age, CELDA 2017, October, 133–140.

Parwati, N. N., & Suharta, I. G. P. (2020). Effectiveness of the implementation of cognitive conflict strategy assisted by e-service learning to reduce students’ mathematical misconceptions. International Journal of Emerging Technologies in Learning, 15(11), 102–118. https://doi.org/10.3991/IJET.V15I11.11802

Peter, E. E. (2012). Critical thinking: Essence for teaching mathematics and mathematics problem solving skills. African Journal of Mathematics and Computer Science Research. https://doi.org/https://doi.org/10.5897/ ajmcsr11.161

PhD Assoc.Egamberdieva L.N. (2022). The Role and Significance Of The Use Of Multimedia. 15–16.

Prahmana, R. C. I., Yunianto, W., Rosa, M., & Orey, D. C. (2021). Ethnomathematics: Pranatamangsa system and the birth-death ceremonial in yogyakarta. Journal on Mathematics Education, 12(1), 93–112.

https://doi.org/10.22342/JME.12.1.11745.93-112

Pujawan, I. G. N., Suryawan, I. P. P., & Prabawati, D. A. A. (2020). The effect of van hiele learning model on students’ spatial abilities. International Journal of Instruction, 13(3), 461–474. https://doi.org/10.29333/iji.2020.13332a

Rachmawati, I. (2012). Eksplorasi Etnomatematika Masyarakat Sidoarjo. MATHEdunesa, 1(1), 1–8.

Rahman, N. A., Rosli, R., Rambely, A. S., Siregar, N. C., Capraro, M. M., & Capraro, R. M. (2022). Secondary school teachers’ perceptions of STEM pedagogical content knowledge. Journal on Mathematics Education, 13(1), 119–134. https://doi.org/10.22342/jme.v13i1.pp119-134

Ramadoni, & Mustofa. (2022). Enhancing Flipped Classroom with Peer Teaching to Promote Students ’ Conceptual Understanding and Self- Efficacy in Calculus Courses. 12(3), 154–168. https://doi.org/10.47750/pegegog.12.03.17

Reynders, G., Lantz, J., Ruder, S. M., Stanford, C. L., & Cole, R. S. (2020). Rubrics to assess critical thinking and information processing in undergraduate STEM courses. International Journal of STEM Education. https://doi.org/https://doi.org/10.1186/ s40594-020-00208-5

Rosa, M., & Clark, D. (2011). Ethnomathematics: the cultural aspects of mathematics. Revista Latinoamericana de Etnomatemática, 4(2), 32–54.

Rosa, M., & Orey, D. C. (2011). Ethnomathematics : the cultural aspects of mathematics Etnomatemática : os aspectos culturais da matemática. Revista Latinoamericana de Etnomatemática, 4(2), 32–54.

Rudhito, M. A., & Prasety, D. A. B. (2016). Pengembangan Soal Matematika Model Timss Untuk Mendukung Pembelajaran Matematika SMP Kelas VII Kurikulum 2013. [Development of the Timss Model of Mathematics Problems to Support Mathematics Learning for Junior High School Class VII Curriculum 2013]. Jurnal Cakrawala Pendidikan, 1(1), 88–97. https://doi.org/10.21831/cp.v1i1.8370

Sagitarini, R. (2018). Kajian Etnomatematika Pada Undagi Bali dan Upaya Memperoleh Pengetahuannya

Simic-Muller, K., Fernandes, A., & FeltonKoestler, M. D. (2015). “I just wouldn’t want to get as deep into it”: Preservice teachers’ beliefs about the role of controversial topics in mathematics education. Journal of Urban Mathematics Education.

Sirate, S. F. S. (2015). Menggagas Integrasi Multikultur Pembelajaran Matematika : suatu telaah etnomatematika.[Initiating Multicultural Integration of Mathematics Learning: an ethnomathematical study.] Auladuna, 2(2), 246–263.

Su, H. F. H., Ricci, F. A., & Mnatsakanian, M. (2016). Mathematical teaching strategies: Pathways to critical thinking and metacognition. International Journal of Research in Education and Science, 2(1), 190–200. https://doi.org/10.21890/ijres.57796

Suarsana, I. M., & Mahayukti, G. A. (2013). Pengembangan E-Modul Berorientasi Pemecahan Masalah Untuk Meningkatkan Keterampilan Berpikir Kritis Mahasiswa. Jurnal Nasional Pendidikan Teknik Informatika (JANAPATI), 2(3), 193. https://doi.org/10.23887/janapati.v2i3.9800

Suarsana, I. M., Mahayukti, G. A., Sudarma, I. K., & Pujawan, A. A. G. S. (2019). The Effect of Interactive Mathematics Learning Media toward Mathematical Conceptual Understanding on Probability of Hearing-impaired Students. Journal of Physics: Conference Series, 1165(1). https://doi.org/10.1088/1742-6596/1165/1/012021

Sudiarta, I. G. P., & Widana, I. W. (2019). Increasing mathematical proficiency and students character: Lesson from the implementation of blended learning in junior high school in Bali. Journal of Physics: Conference Series, 1317, 012118. https://doi.org/https://doi.org/10.1088/1742-6596/1317/1/012118

Suryawan, I. P. P., & Juniantari, M. (2021). Undagi Bali Ethnomathematic Study and How to Acquire Its Knowledge. 536(Icsteir 2020), 384–390.

Suryawan, I. P. P., & Sariyasa. (2018). Integrating ethnomathematics into open-ended problem based teaching materials. Journal of Physics: Conference Series, 1040(1). https://doi.org/10.1088/1742-6596/1040/1/012033

Umbara, U., Wahyudin, & Prabawanto, S. (2021). Ethnomathematics Vs Ethomodeling: how does cigugur traditional community determines the direction of the wind to seek fortune based on month. Journal of Physics: Conference Series, 1776(1), 012034. https://doi.org/10.1088/1742-6596/1776/1/012034

Umoh, M. (2020). Teaching and Learning with Technology Teaching and Learning. Technology, 7(5), 296–300.

Utami, R. E., Nugroho, A., Andri Dwijayanti, I., & Sukarno, A. P. (2018). Pengembangan E-Modul Berbasis Etnomatematika untuk Meningkatkan Kemampuan Pemecahan Masalah. Universitas PGRI Semarang.

Zeidler, D. L., Lederman, N. G., & Taylor, S. C. (1992). Fallacies and student discourse: Conceptualizing the role of critical thinking in science education. Science Education. https://doi.org/https://doi.org/ 10.1002/sce.3730760407

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2023-07-01

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Pasek Suryawan, I. P., Jana, P., Pujawan, I. G. N., Yudi Hartawan, I. G. N., & Widyantini Putri, P. E. (2023). Improving Students’ Critical Thinking Skills through an Ethnomathematically Controversial Problem-Based Multimodal Approach. Pegem Journal of Education and Instruction, 13(3), 323–336. https://doi.org/10.47750/pegegog.13.03.33

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