How to Design Problem-Based Learning for Reasoning Ability?

Keywords: PBL, Reasoning, Trigonometry

Abstract

Objective: To get around students' reluctance, learning media is needed; one of them is the development of mathematics teaching materials. The development of teaching materials is needed to actualize subjects, especially mathematics, as a contextual subject. This goal is to improve students' reasoning abilities in understanding and solving the problems in daily life. The function of the model is as an intermediary between students' mathematical reasoning abilities and the questions presented in the development of teaching materials. More mathematical reasoning abilities are found in trigonometry material. Trigonometry is the science of measuring the angles and boundaries of triangles (used in astronomy and so on) in which there are solutions for other problems, such as measuring the height of mountains, buildings, towers, etc. Method: This research uses a qualitative method. Results: The teaching material Trigonometry research is valid for module material validation, graphics or media validation, and obtained from audience validation results. The three percentages are at a very valid validation level and can be used in schools. Novelty: After the application of this teaching material, the result was that students' mathematical reasoning abilities became better.

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References

Aguilar, M. S., & Castaneda, A. (2021). What mathematical competencies does a citizen need to interpret Mexico’s official information about the COVID-19 pandemic? Educational Studies in Mathematics, 108(1–2), 227–248. https://doi.org/10.1007/s10649-021-10082-9

Al-Mutawah, M. A., Thomas, R., Eid, A., Mahmoud, E. Y., & Fateel, M. J. (2019). Conceptual understanding, procedural knowledge and problem-solving skills in mathematics: High school graduates work analysis and standpoints. International Journal of Education and Practice, 7(3), 258–273. http://dx.doi.org/10.18488/journal.61.2019.73.258.273

Alaidi, A., Yahya, O., & Alrikabi, H. (2020). Using modern education technique in wasit university. International Journal of Interactive Mobile Technologies (iJIM), 14(06), 82–94. https://doi.org/10.3991/ijim.v14i06.11539

Breda, A., Pino-Fan, L. R., & Font, V. (2017). Meta didactic-mathematical knowledge of teachers: criteria for the reflection and assessment on teaching practice. EURASIA Journal of Mathematics, Science and Technology Education, 13(6), 1893–1918. https://doi.org/10.12973/eurasia.2017.01207a

Fuadi, R., Johar, R., & Munzir, S. (2016). Peningkatkan kemampuan pemahaman dan penalaran matematis melalui pendekatan kontekstual. Jurnal Didaktik Matematika, 3(1), 47–54.

Hasanah, S. I., Tafrilyanto, C. F., & Aini, Y. (2019). Mathematical reasoning: The characteristics of students’ mathematical abilities in problem solving. Journal of Physics: Conference Series, 1188(1), 1-9. https://doi.org/10.1088/1742-6596/1188/1/012057

Hidayati, A. U., & Ratnawati, H. (2016). Effectiveness problem based learning and scientific approach to improve higher order thinking skills. Proceeding of 3rd International Conference On Research, Implementation And Education Of Mathematics And Science, 55–60.

Indriati, D. (2018). Profile of mathematical reasoning ability of 8th grade students seen from communicational ability, basic skills, connection, and logical thinking. Journal of Physics: Conference Series, 1008(1), 1-11. https://doi.org/10.1088/1742-6596/1008/1/012078

Izzah, K. H., & Azizah, M. (2019). Analisis kemampuan penalaran siswa dalam pemecahan masalah matematika siswa kelas IV. Indonesian Journal of Educational Research and Review, 210–218. https://doi.org/10.23887/ijerr.v2i2.17629

Kadarisma, G., Nurjaman, A., Sari, I. P., & Amelia, R. (2019). Gender and mathematical reasoning ability. Journal of Physics: Conference Series, 1157(4), 1-8. http://dx.doi.org/10.1088/1742-6596/1157/4/042109

Kosasih, E. (2021). Pengembangan bahan ajar. Bumi Aksara.

Kusuma, A. M., & Candramila, W. (2017). Respon siswa terhadap pembelajaran berbasis masalah pada materi pencemaran lingkungan di kelas X SMA. Jurnal Pendidikan Dan Pembelajaran Khatulistiwa (JPPK), 6(10), 1-8. http://dx.doi.org/10.26418/jppk.v6i10.22392

Lestari, I., & Andinny, Y. (2020). Kemampuan penalaran matematika melalui model pembelajaran metaphorical thinking ditinjau dari disposisi matematis. Jurnal Elemen, 6(1), 1–12. https://doi.org/10.29408/jel.v6i1.1179

Lestari, M., Subanji, S., & Irawati, S. (2022). Analisis kemampuan analisis kemampuan penalaran matematis siswa SMA pada materi matriks. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 11(1), 550–562. http://dx.doi.org/10.24127/ajpm.v11i1.4577

Magdalena, I., Sundari, T., Nurkamilah, S., Nasrullah, N., & Amalia, D. A. (2020). Analisis bahan ajar. Nusantara, 2(2), 311–326.

Marasabessy, R. (2021). Study of mathematical reasoning ability for mathematics learning in schools: A literature review. Indonesian Journal of Teaching in Science, 1(2), 79–90. https://doi.org/10.17509/ijotis.v1i2.37950

Mardhiyana, D., & Sejati, E. O. W. (2016). Mengembangkan kemampuan berpikir kreatif dan rasa ingin tahu melalui model pembelajaran berbasis masalah. PRISMA, Prosiding Seminar Nasional Matematika, 672–688.

Masruro, S., Sudibyo, E., & Purnomo, T. (2021). Profile of problem based learning to improve students’ critical thinking skills. IJORER: International Journal of Recent Educational Research, 2(6), 682–699. https://doi.org/10.46245/ijorer.v2i6.171

Nanmumpuni, H. P., & Retnawati, H. (2021). Analysis of senior high school student’s difficulty in resolving trigonometry conceptual problems. Journal of Physics: Conference Series, 1776(1), 1-9. http://dx.doi.org/10.1088/1742-6596/1776/1/012012

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

Nasution, E. Y. P., Gunawan, R. G., & Yulia, P. (2019). Pengaruh model pembelajaran problem based instruction (PBI) terhadap kemampuan penalaran matematis siswa. Logaritma: Jurnal Ilmu-Ilmu Pendidikan dan Sains, 7(2), 163–176. http://dx.doi.org/10.24952/logaritma.v7i02.2113

Nisaâ, A., Sudarmin, S., & Samini, S. (2015). Efektivitas penggunaan modul terintegrasi etnosains dalam pembelajaran berbasis masalah untuk meningkatkan literasi sains siswa. Unnes Science Education Journal, 4(3), 1049-1057. https://doi.org/10.15294/usej.v4i3.8860

Nurdyansyah, N. (2018a). Model pembelajaran berbasis masalah pada pelajaran IPA materi komponen ekosistem. Thesis. Universitas Muhammadiyah Sidoarjo.

Nurdyansyah, N. (2018b). Pengembangan bahan ajar modul ilmu pengetahuan alambagi siswa kelas IV sekolah dasar. Thesis. Universitas Muhammadiyah Sidoarjo.

Pino-Fan, L. R., Godino, J. D., & Font, V. (2018). Assessing key epistemic features of didactic-mathematical knowledge of prospective teachers: The case of the derivative. Journal of Mathematics Teacher Education, 21, 63–94.

Putri, D. K., Sulianto, J., & Azizah, M. (2019). Kemampuan penalaran matematis ditinjau dari kemampuan pemecahan masalah. International Journal of Elementary Education, 3(3), 351–357. https://doi.org/10.23887/ijee.v3i3.19497

Ramdiah, S., Abidinsyah, H., & Mayasari, R. (2018). Problem-based learning: Generates higher-order thinking skills of tenth graders in ecosystem concept. JPBI (Jurnal Pendidikan Biologi Indonesia), 4(1), 29–34. https://doi.org/10.22219/jpbi.v4i1.5490

Rizqi, N. R., & Surya, E. (2017). An analysis of students’ mathematical reasoning ability in viii grade of sabilina tembung junior high school. International Journal Of Advance Research And Innovative Ideas In Education (IJARIIE), 3(2), 2395–4396.

Samadun, S., & Dwikoranto, D. (2022). Improvement of student’s critical thinking ability sin physics materials through the application of problem-based learning. IJORER: International Journal of Recent Educational Research, 3(5), 534–545. https://doi.org/10.46245/ijorer.v3i5.247

Sandy, W. R., Inganah, S., & Jamil, A. F. (2019). The analysis of students’ mathematical reasoning ability in completing mathematicalproblems on geometry. Mathematics Education Journal, 3(1), 72–79. https://doi.org/10.22219/mej.v3i1.8423

Saxton, D., Grefenstette, E., Hill, F., & Kohli, P. (2019). Analysing mathematical reasoning abilities of neural models. ArXiv Preprint ArXiv:1904.01557, 1-17. https://doi.org/10.48550/arXiv.1904.01557

Setiyani, S., Maharani, A., & Ferdianto, F. (2017). Pengaruh aktivitas belajar mahasiswa dengan model problem based learning terhadap kemampuan penalaran matematis pada mata kuliah kalkulus III. Thesis. UNSWAGATI.

Sulastri, L., & Arhasy, E. A. R. (2017). Kajian learning obstacle materi persamaan dan pertidaksamaan linear satu variabel pada pembelajaran matematika di sekolah menengah pertama. JP3M (Jurnal Penelitian Pendidikan dan Pengajaran Matematika), 3(2), 151–159. DOI: https://doi.org/10.37058/jp3m.v3i2.408

Suwono, H., Rizkita, L., & Susilo, H. (2017). Peningkatan literasi saintifik siswa sma melalui pembelajaran biologi berbasis masalah sosiosains. Jurnal Ilmu Pendidikan, 21(2), 136-145. http://dx.doi.org/10.17977/jip.v21i2.8367

Thamrin, T., Hutasuhut, S., Aditia, R., & Putri, F. R. (2022). The effectiveness of the hybrid learning materials with the application of problem based learning model (Hybryd-PBL) to improve learning outcomes during the COVID-19 pandemic. IJORER: International Journal of Recent Educational Research, 3(1), 124–134. https://doi.org/10.46245/ijorer.v3i1.178

Uliyandari, M., Candrawati, E., Herawati, A. A., & Latipah, N. (2021). Problem-based learning to improve concept understanding and critical thinking ability of science education undergraduate students. IJORER: International Journal of Recent Educational Research, 2(1), 65–72. https://doi.org/10.46245/ijorer.v2i1.56

Widiawati, L., Joyoatmojo, S., & Sudiyanto, S. (2018). Higher order thinking skills as effect of problem based learning in the 21st century learning. International Journal of Multicultural and Multireligious Understanding, 5(3), 96–105.

Zubainur, C. M., Jannah, R., Syahjuzar, S., & Veloo, A. (2020). Kemampuan penalaran matematis siswa melalui model discovery learning di sekolah menengah aceh. Jurnal Serambi Ilmu, 21(1), 148–170. https://doi.org/10.32672/si.v21i1.1893

Zulmaulida, R., Saputra, E., Munir, M., Zanthy, L. S., Wahnyuni, M., Irham, M., & Akmal, N. (2021). Problematika pembelajaran matematika. Yayasan Penerbit Muhammad Zaini.

Published
2023-09-07
How to Cite
Maharani, A., & Putra, L. W. Y. (2023). How to Design Problem-Based Learning for Reasoning Ability?. IJORER : International Journal of Recent Educational Research, 4(5), 610-619. https://doi.org/10.46245/ijorer.v4i5.289
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