Main Article Content
Abstract
Mathematics education in Indonesia encounters significant challenges in effectively teaching mathematical concepts to students, necessitating the use of supportive instructional modules. Despite this need, some educators continue to rely on conventional and monotonous modules that are outdated and ineffective for contemporary learning. Consequently, there is a pressing need for alternative modules grounded in the Ethno-Realistic Mathematics Education (Ethno-RME) approach, which aligns with the Pancasila Student Profile (the students' competencies that learners are expected to achieve based on the noble values of Pancasila as the foundation of the state and ideology of the Indonesian nation) and connects with students' everyday lives. This study aims to develop an Ethno-RME-based module on probability, designed to be valid, practical, and capable of enhancing the critical reasoning skills of students. The research employs a design research methodology of the development studies type, comprising two stages: preliminary and formative evaluation. Data collection techniques included assessment sheets, walkthroughs, document analysis, and tests of students' critical reasoning skills. The study's subjects were 22 eighth-grade students at one of private secondary schools in Yogyakarta. The findings indicate that the Ethno-RME-based probability module is valid and practical, with significant potential to enhance students' critical reasoning skills. The module received high validity ratings, with material quality scoring an average of 165 out of 175 and media quality scoring 129 out of 135. The one-to-one evaluation phase resulted in an average score of 74 out of 75. During the small group implementation, the module received an average student response score of 66.33 out of 75, and in the field test stage, an average score of 64.45 out of 75. These results confirm the module's practicality. Additionally, the field test's second stage revealed a potential effect on critical reasoning, with an average test score of 14.23 out of 20 and a conversion score of 71.14 out of 100, with 81.8% of students scoring at least 60. These outcomes demonstrate the Ethno-RME-based probability module's efficacy in enhancing the critical reasoning skills of Pancasila Students Profile.
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Copyright (c) 2025 Nur Ika Pujiastuti, Rully Charitas Indra Prahmana, Brian Evans
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References
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- Mahtum, R., Pribadi, M. H. P., Magfiroh, A. Z., Sunardi, & Lestari, N. D. S. (2023). Analysis of advanced mathematics books based on Pancasila profile on critical reasoning dimensions. Pedagogik: Jurnal Pendidikan, 10(2), 135-150. https://doi.org/10.33650/pjp.v10i2.6378
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- Nurnaningsih, L., Prahmana, R. C. I., Yunianto, W., & Bautista, G. J. (2024). The integration of Ethno-RME in MatCityMap application to support students’ learning of system of linear equations: A case of Mangkujo Math Trail. Journal of Honai Math, 7(1), 155-176. https://doi.org/10.30862/jhm.v7i1.599
- Pangestuti, S., Prahmana, R. C. I., & Fran, F. A. (2024). Unlocking mathematical marvels: Exploring number patterns in the Rangku Alu traditional game. Jurnal Elemen, 10(2), 441-458. https://doi.org/10.29408/jel.v10i2.25621
- Prahmana, R. C. I. (2022). Ethno-Realistic Mathematics Education: The promising learning approach in the city of culture. SN Social Sciences, 2(12), 257. https://doi.org/10.1007/s43545-022-00571-w
- Prahmana, R. C. I., Arnal-Palacián, M., Risdiyanti, I., & Ramadhani, R. (2023). Trivium curriculum in Ethno-RME approach: An impactful insight from ethnomathematics and realistic mathematics education. Jurnal Elemen, 9(1), 298–316. https://doi.org/10.29408/jel.v9i1.7262
- Rabindran, R., & Madanagopal, D. (2020). Piaget’s theory and stages of cognitive development: An overview. Scholars Journal of Applied Medical Sciences, 8(9), 2152-2157. https://doi.org/10.36347/sjams.2020.v08i09.034
- Ren, X., Tong, Y., Peng, P., & Wang, T. (2020). Critical thinking predicts academic performance beyond general cognitive ability: Evidence from adults and children. Intelligence, 82, 101487. https://doi.org/10.1016/j.intell.2020.101487
- Resa, A., Atmaja, H. T., Setiawan, D., & Ahmadi, F. (2023). The implementation of strengthening Pancasila student profile’s local wisdom theme in the Merdeka curriculum in elementary school. International Journal of Research and Review, 10(6), 76-83. https://doi.org/10.52403/ijrr.20230611
- Risdiyanti, I., Zulkardi, Putri, R. I. I., Prahmana, R. C. I., & Nusantara, D. S. (2024). Ratio and proportion through realistic mathematics education and pendidikan matematika realistik Indonesia approach: A systematic literature review. Jurnal Elemen, 10(1), 158–180. https://doi.org/10.29408/jel.v10i1.24445
- Saputro, B. A., Maurizka, H. T., & Purnamasari, V. (2023). Geometry learning design for facilitate Pancasila student profile critical reasoning dimensions of elementary school students. Formatif: Jurnal Ilmiah Pendidikan MIPA, 13(2), 137-150. http://dx.doi.org/10.30998/formatif.v13i2.17754
- Sumarni, W., Sudarmin, Sumarti, S. S., & Kadarwati, S. (2022). Indigenous knowledge of Indonesian traditional medicines in science teaching and learning using a science–technology–engineering–mathematics (STEM) approach. Cultural Studies of Science Education, 17, 467–510. https://doi.org/10.1007/s11422-021-10067-3
- Susanti, A., Darmansyah, A., & Assenhaji, S. A. (2023). The implementation religious characters in the profiles of Pancasila students through religious activities in schools. Eduprof: Islamic Education Journal, 5(2), 27–36. https://doi.org/10.47453/eduprof.v5i2.225
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- Tessmer, M. (1993). Planning and conducting formative evaluations: Improving the quality of education and training. Kogan Page. https://doi.org/10.4324/9780203061978
- Tolla, I., & Jabu, B. (2022). Development of the 4C teaching model to improve students' mathematical critical thinking skills. International Journal of Educational Methodology, 8(3), 493-504. https://doi.org/10.12973/ijem.8.3.493.
- Träff, U., Olsson, L., Skagerlund, K., Skagenholt, M., & Östergren, R. (2019). Logical reasoning, spatial processing, and verbal working memory: Longitudinal predictors of physics achievement at age 12–13 years. Frontiers in Psychology, 10, 458416. https://doi.org/10.3389/fpsyg.2019.01929
- Yu, Z., Gao, M., & Wang, L. (2021). The effect of educational games on learning outcomes, student motivation, engagement and satisfaction. Journal of Educational Computing Research, 59(3), 522-546. https://doi.org/10.1177/0735633120969214
- Zeng, J., Parks, S., & Shang, J. (2020). To learn scientifically, effectively, and enjoyably: A review of educational games. Human Behavior and Emerging Technologies, 2(2), 186-195. https://doi.org/10.1002/hbe2.188
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References
Adipat, S., Laksana, K., Busayanon, K., Asawasowan, A., & Adipat, B. (2021). Engaging students in the learning process with game-based learning: The fundamental concepts. International Journal of Technology in Education, 4(3), 542-552. https://doi.org/10.46328/ijte.169
Ahmad, S., Ch, A. H., Batool, A., Sittar, K., & Malik, M. (2016). Play and cognitive development: Formal operational perspective of Piaget's theory. Journal of Education and Practice, 7(28), 72-79. https://www.iiste.org/Journals/index.php/JEP/article/view/33557/34498
Ahmadi, F., Rochmad, R., Lestari, F. P., & Harjunowibowo, D. (2021). The development of mathematics comic containing Pancasila values to develop character of elementary school students: A case Study of Indonesia. Journal of Innovation in Educational and Cultural Research, 2(1), 25–34. https://doi.org/10.46843/jiecr.v2i1.20
Bağ, H. K., & Gürsoy, E. (2021). The effect of critical thinking embedded English course design to the improvement of critical thinking skills of secondary school learners✰. Thinking Skills and Creativity, 41, 100910. https://doi.org/10.1016/j.tsc.2021.100910
Beatty, A., Berkhout, E., Bima, L., Pradhan, M., & Suryadarma, D. (2021). Schooling progress, learning reversal: Indonesia’s learning profiles between 2000 and 2014. International Journal of Educational Development, 85(June), 102436. https://doi.org/10.1016/j.ijedudev.2021.102436
Fiantika, F., Prajitno, S., Rozzaq, G., & Shabir, S. (2023). The culture transformation: Situs Gambyok in mathematics teaching learning with Pancasila student profile. Math Didactic: Jurnal Pendidikan Matematika, 9(1), 15-21. https://doi.org/10.33654/math.v9i1.1984.
Hariastuti, R. M., Budiarto, M. T., & Manuharawati. (2022). Traditional houses in ethnomathematical-thematic-connected-based mathematics learning. International Journal of Educational Methodology, 8(3), 535-549. https://doi.org/10.12973/ijem.8.3.535
Jacobsen, M., & McKenney, S. (2023). Educational design research: grappling with methodological fit. Educational Technology Research and Development, 1-20. https://doi.org/10.1007/s11423-023-10282-5
Khasanah, M., Khalil, I. A., & Prahmana, R. C. I. (2023). An inquiry into ethnomathematics within the framework of the traditional game of Congklak. Journal of Honai Math, 6(2), 175-188. https://doi.org/10.30862/jhm.v6i2.553
Mahtum, R., Pribadi, M. H. P., Magfiroh, A. Z., Sunardi, & Lestari, N. D. S. (2023). Analysis of advanced mathematics books based on Pancasila profile on critical reasoning dimensions. Pedagogik: Jurnal Pendidikan, 10(2), 135-150. https://doi.org/10.33650/pjp.v10i2.6378
Maulida, F., Fitriani, A. D., & Darmayanti, M. (2024). Development of teaching materials based on differentiated learning to improve critical thinking dimensions of the Pancasila learner profile. Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran, 10(1), 125-135. https://doi.org/10.33394/jk.v10i1.10420
Mendrofa, N. K., Dewi, I., & Simamora, E. (2022). Mathematics learning based on multicultural education to realize Pancasila students. EDUTEC: Journal of Education and Technology, 6(2), 281–293. https://doi.org/10.29062/edu.v6i2.480
Minerva, S., Rokhman, M., & Ahmadi, A. (2022). Analysis of mathematics problem solving difficulty on main matter of opportunity. Daya Matematis: Jurnal Inovasi Pendidikan Matematika, 10(1), 45-53. https://doi.org/10.26858/jdm.v10i1.22359
Nasir, N. S., Hand, V., & Taylor, E. V. (2008). Culture and mathematics in school: Boundaries between “Cultural” and “Domain” knowledge in the mathematics classroom and beyond. Review of Research in Education, 32(1), 187–240. https://doi.org/10.3102/0091732X07308962
Nurhayati, Jamaris, & Marsidin, S. (2022). Strengthening Pancasila student profiles in independent learning curriculum in elementary school. International Journal of Humanities Education and Social Sciences, 1(6), 976-988. https://doi.org/10.55227/ijhess.v1i6.183
Nurnaningsih, L., Prahmana, R. C. I., Yunianto, W., & Bautista, G. J. (2024). The integration of Ethno-RME in MatCityMap application to support students’ learning of system of linear equations: A case of Mangkujo Math Trail. Journal of Honai Math, 7(1), 155-176. https://doi.org/10.30862/jhm.v7i1.599
Pangestuti, S., Prahmana, R. C. I., & Fran, F. A. (2024). Unlocking mathematical marvels: Exploring number patterns in the Rangku Alu traditional game. Jurnal Elemen, 10(2), 441-458. https://doi.org/10.29408/jel.v10i2.25621
Prahmana, R. C. I. (2022). Ethno-Realistic Mathematics Education: The promising learning approach in the city of culture. SN Social Sciences, 2(12), 257. https://doi.org/10.1007/s43545-022-00571-w
Prahmana, R. C. I., Arnal-Palacián, M., Risdiyanti, I., & Ramadhani, R. (2023). Trivium curriculum in Ethno-RME approach: An impactful insight from ethnomathematics and realistic mathematics education. Jurnal Elemen, 9(1), 298–316. https://doi.org/10.29408/jel.v9i1.7262
Rabindran, R., & Madanagopal, D. (2020). Piaget’s theory and stages of cognitive development: An overview. Scholars Journal of Applied Medical Sciences, 8(9), 2152-2157. https://doi.org/10.36347/sjams.2020.v08i09.034
Ren, X., Tong, Y., Peng, P., & Wang, T. (2020). Critical thinking predicts academic performance beyond general cognitive ability: Evidence from adults and children. Intelligence, 82, 101487. https://doi.org/10.1016/j.intell.2020.101487
Resa, A., Atmaja, H. T., Setiawan, D., & Ahmadi, F. (2023). The implementation of strengthening Pancasila student profile’s local wisdom theme in the Merdeka curriculum in elementary school. International Journal of Research and Review, 10(6), 76-83. https://doi.org/10.52403/ijrr.20230611
Risdiyanti, I., Zulkardi, Putri, R. I. I., Prahmana, R. C. I., & Nusantara, D. S. (2024). Ratio and proportion through realistic mathematics education and pendidikan matematika realistik Indonesia approach: A systematic literature review. Jurnal Elemen, 10(1), 158–180. https://doi.org/10.29408/jel.v10i1.24445
Saputro, B. A., Maurizka, H. T., & Purnamasari, V. (2023). Geometry learning design for facilitate Pancasila student profile critical reasoning dimensions of elementary school students. Formatif: Jurnal Ilmiah Pendidikan MIPA, 13(2), 137-150. http://dx.doi.org/10.30998/formatif.v13i2.17754
Sumarni, W., Sudarmin, Sumarti, S. S., & Kadarwati, S. (2022). Indigenous knowledge of Indonesian traditional medicines in science teaching and learning using a science–technology–engineering–mathematics (STEM) approach. Cultural Studies of Science Education, 17, 467–510. https://doi.org/10.1007/s11422-021-10067-3
Susanti, A., Darmansyah, A., & Assenhaji, S. A. (2023). The implementation religious characters in the profiles of Pancasila students through religious activities in schools. Eduprof: Islamic Education Journal, 5(2), 27–36. https://doi.org/10.47453/eduprof.v5i2.225
Tai, K. W. H. (2022). Translanguaging as inclusive pedagogical practices in English-medium instruction science and mathematics classrooms for linguistically and culturally diverse students. Research in Science Education, 52(3), 975–1012. https://doi.org/10.1007/s11165-021-10018-6
Tessmer, M. (1993). Planning and conducting formative evaluations: Improving the quality of education and training. Kogan Page. https://doi.org/10.4324/9780203061978
Tolla, I., & Jabu, B. (2022). Development of the 4C teaching model to improve students' mathematical critical thinking skills. International Journal of Educational Methodology, 8(3), 493-504. https://doi.org/10.12973/ijem.8.3.493.
Träff, U., Olsson, L., Skagerlund, K., Skagenholt, M., & Östergren, R. (2019). Logical reasoning, spatial processing, and verbal working memory: Longitudinal predictors of physics achievement at age 12–13 years. Frontiers in Psychology, 10, 458416. https://doi.org/10.3389/fpsyg.2019.01929
Yu, Z., Gao, M., & Wang, L. (2021). The effect of educational games on learning outcomes, student motivation, engagement and satisfaction. Journal of Educational Computing Research, 59(3), 522-546. https://doi.org/10.1177/0735633120969214
Zeng, J., Parks, S., & Shang, J. (2020). To learn scientifically, effectively, and enjoyably: A review of educational games. Human Behavior and Emerging Technologies, 2(2), 186-195. https://doi.org/10.1002/hbe2.188
Zulkardi. (2002). Developing a learning environment on realistic mathematics education for Indonesian student teachers. PrintPartners Ipskamp. https://ris.utwente.nl/ws/portalfiles/portal/6073266/thesis_Zulkardi.pdf