Students’ mathematical reasoning ability in solving PISA-like mathematics problem COVID-19 context
DOI:
https://doi.org/10.29408/jel.v8i1.4599Keywords:
COVID-19, mathematical reasoning ability, PISA, PMRI, numberAbstract
This study aims to use the Pendidikan Matematika Realistik Indonesia (PMRI) approach to measure the mathematical reasoning ability of grade VII students in answering PISA-like mathematics problems on number content in the context of COVID-19. This study employs descriptive research with 34 participants from a junior high school in Palembang, Indonesia. Tests, interviews, and observations were utilized to collect data. The method of analysis adopted is descriptive. Google Meet is used to facilitate learning. Learning the PMRI technique was accomplished in this study by assigning sharing and jumping tasks. That is, assignments for students to discuss with each other have different levels of difficulty, followed by two exam questions. In the context of COVID-19, the test questions are PISA-like maths problems. The results show that students’ average mathematical reasoning skill is 63,037, with mathematical manipulation a common indicator. Most students have exhibited indications for presenting conjectures. However, only a few students have put down indicators for drawing logical conclusions, so drawing logical conclusions is an indicator that students rarely see. Overall, grade VII students' mathematical reasoning skills in answering PISA-like mathematics questions on number material in the context of COVID-19 utilizing the PMRI approach is good since students are used to modeling contextual problems such that mathematical manipulation indicators occur.
References
Afandi, A. (2016). Junior high school student’s deductive reasoning in solving geometric problems based on gender differences. Education and Human Development Journal, 1(1), 9-21. https://doi.org/10.33086/ehdj.v1i1.284
Akuba, S. F., Purnamasari, D., & Firdaus, R. (2020). The effect of reasoning ability, self-efficacy and problem-solving ability on mastery of mathematical concepts. National Journal of Mathematics Education, 4(1), 44-60. https://dx.doi.org/10.33603/jnpm.v4il.2827
Amalia, D. & Hadi, W. (2020). Analysis of student errors in solving hots questions based on mathematical reasoning abilities. Journal of Mathematics and Mathematics Education, 4(1), 219-236. https://doi.org/10.36526/tr.v4i1.904
Anggraini, E. & Zulkardi. (2020). Kemampuan berpikir kreatif siswa dalam mem-posingmasalah menggunakan pendekatan pendidikan matematika realistik Indonesia [Students' creative thinking ability in posing problems using the Indonesian Realistic Mathematics Education Approach]. Jurnal Elemen, 6(2), 167-182. https://doi.org/10.29408/jel.v6i2.1857
Asdarina, O. & Rida, M. (2020). Analysis of students' mathematical reasoning ability in solving problems equivalent to PISA geometry content. Numeracy, 7(2), 192-206. https://doi.org/10.46244/numeracy.v7i2.1167
Azizah, R. F, Sunardi, & Kurniati, D. (2017). Mathematical reasoning in solving PISA questions for 15 year old students at SMA Negeri 1 Jember. Kadikma Journal, 8(1), 97-104.
Bidasari, F. (2017). Development of PISA model math problems on quantity content to measure the mathematical problem-solving ability of junior high school. Jurnal Gantang, 11(1), 63-78. https://doi.org/10.31629/jg.v2i1.59
Depdiknas. (2004). Regulation of director general of primary and secondary education No. 506/CPP/2004 date November 11, 2004, regarding the assessment of the development of junior high school students. Dirjen Dikdasmen Depdiknas.
Fauziah, Putri, R. I. I., Zulkardi, & Somakim (2017). Primary school student teacher's perception to Indonesian realistic mathematics education (PMRI) instruction. Journal of Physics: Conference Series, 943(1), Article 012044. https://doi.org/10.1088/1742-6596/943/1/012044
Kusumaningrum, D. S. (2016). Improving reasoning ability and independent mathematics learning through Indonesian realistic mathematics education (PMRI) for junior high school students. Journal of Buana Ilmu, 1(1), 10-20. https://doi.org/10.36805/bi.v1i1.94
Manik, E. (2021). Ethnomathematics and realistic mathematics education. Proceedings of the Ethnomathematics Webinar. (pp. 41-50). University of HKBP Nummensen. https://easychair.org/publications/preprint/Jl1f
National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA.
Nusantara, D. S., Zulkardi, & Putri, R. I. I. (2020a). Designing PISA-like mathematics problems in the COVID-19 pandemic (PISAComat). Journal of Physics Conference Series, 1657(1), Article 012057. https://doi.org/10.1088/1742-6596/1657/1/012057
Nusantara, D.S, Zulkardi, & Putri, R. I. I. (2020b). Designing PISA-like mathematics problem relating change and relationship using physical distancing context. Journal of Physics Conference Series, 1663(1), Article 012004.https://doi.org/10.1088/1742-6596/1663/1/012004
Nusantara, D. S., Zulkardi & Putri, R. I. I. (2021). Designing PISA-like mathematics task Using a COVID-19 context (PISAComat). Journal on Mathematics Education, 12(2), 349-364. https://doi.org/10.22342/jme.12.2.13181.349-364
Octriana, I., Putri, R. I. I., & Nurjannah. (2019). Students' mathematical reasoning in learning number patterns using PMRI and LSLC. Journal of Mathematics Education, 13(2), 131-142. https://doi.org/10.22342/jpm.13.2.6714.131-142
OECD. (2019). PISA 2018 assessment and analytical framework. OECD Publishing. https://www.oecd.org/education/pisa-2018-assesment-and-analytical-framework-b25efab8-en.htm
Prabowo, A. & Dahlan, J. A. (2020). Pengembangan tes matematika dengan konteks COVID-19 untuk siswa SMP/MTs kelas VIII [Development of math tests in the context of covid-19 for class VIII SMP/MTs students]. Jurnal Elemen, 6(2), 302-317. https://doi.org/10.29408/jel.v6i2.2115
Purwanti, S., Syofiana, M., & Risnanosanti. (2020). Soal tentang bilangan bulat untuk mengukur kemampuan penalaran matematis [Question about integers to measure ability mathematical reasoning]. Jurnal Pendidikan Matematika Raflesia, 5(2), 145-152. https://ejournal.unib.ac.id/index.php/jpmr/article/view/11449
Saputri, I., Susanti, E., & Aisyah, N. (2017). Kemampuan penalaran matematis siswa menggunakan pendekatan metaphorical thinking pada materi perbandingan kelas VIII di SMPN 1 Indralaya Utara [The students' mathematical reasoning ability uses a metaphorical thinking approach in comparison material for class VIII at SMPN 1 Indralaya Utara]. Jurnal Elemen, 3(1), 15-24. https://doi.org/10.29408/jel.v3i1.302
Saputri, N. W., Turidho, A., Zulkardi, Z., Darmawijoyo, & Somakim. (2020). The design of PISA questions contains uncertainty and data in the context of the spread of COVID-19. Journal of Mathematics Education, 8(2), 106-118. https://doi.org/10.20527/edumat.v8i2.8564
Sholichin, M., Zulyusri, Lufri, & Razak, A. (2021). Analysis of online learning constraints during the COVID-29 pandemic in science subjects at SMPN 1 Bayung Lencir. Scientific Journal of Biology Education, 7(2), 163-168.
Sofyana, U. M. & Kusuma, A. B. (2018). Efforts to improve students' mathematical reasoning skills use generative learning in class VII SMP Muhammadiyah Kaliwiro. Journal of Mathematics Didactic Research, 2(2), 11-23. https://doi.org/10.30659/kontinu.2.1.14-29
Wulandari, W., Darmawijoyo, D., & Hartono, Y. (2016). Influence mathematics modeling approach on argumentation skills class VIII SMP negeri 15 Palembang. Journal of Education Sriwijaya Mathematics, 10(1), 114-126. https://doi.org/10.22342/jpm.10.1.3292.114-126
Zulkardi & Kohar, A., W. (2018). Designing PISA-like mathematics tasks in Indonesia : Experience and Challenges. Journal of Physics: Conference Series, 947(1), Article 012015. https://doi.org/10.1088/1742-6596/947/1/012015
Zulkardi & Putri, R. I. I. (2010). Development of a support blog to help Indonesian mathematics students and teachers learn Indonesian Realistic Mathematics Education (PMRI). Journal of Educational Engineering Innovation (JIPP), 2(1), 1-24. https://repository.unsri.ac.id/id/eprint/6777
Zulkardi, Meryansumayeka, Putri, R. I. I., Alwi, Z., Nusantara, D. S., Ambarita, S. M., Maharani, Y., & Puspitasari, L. (2020). How students work with PISA-like mathematical tasks using COVID-19 context. Journal on Mathematics Education, 11(3), 405-416. https://doi.org/10.22342/jme.11.3.12915.405-416
Zulkardi, Z. (2002). Developing a learning environment on realistic mathematics education for Indonesian student teachers [Unpublished Doctoral Dissertation]. University of Twente. https://doc.utwente.nl/58718/1/thesis_Zulkardi.pdf
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