Analysis of Mathematical Reasoning Ability Reviewed Based on The Level of Mathematical Anxiety
DOI:
https://doi.org/10.15575/ja.v9i1.22828Keywords:
Analysis of Mathematical, Mathematical Reasoning Ability, Math Anxiety.Abstract
Kemampuan penalaran matematika merupakan kemampuan dasar yang harus dimiliki oleh siswa. Oleh karenanya guru sebagai pendidik, harus dapat meningkatkan kemampuan penalaran matematika selama proses pembelajaran sekaligus mengurangi hambatan siswa dalam belajar matematika. Namun demikian kenyataanya ada hambatan kecemasan yang dialami oleh siswa yang tidak diketahui. Tujuan penelitian ini adalah untuk menganalisis dan mendeskripsikan kemampuan penalaran matematika siswa ditinjau berdasarkan tingkat kecemasan matematika. Penelitian ini adalah penelitian kualitatif dengan metode deskriptif. Subjek dalam penelitian berjumlah 6 orang siswa yang dipilih dari tiap kategori kecemasan matematika. Instrumen pendukung dalam penelitian ini meliputi: 1) Angket Kecemasan Matematika; 2) Tes Kemampuan Penalaran matematika; 3) Pedoman Wawancara. Dari hasil analisis diketahui bahwa siswa dengan tingkat kecemasan matematika rendah yaitu S1 dan S2 dapat memenuhi 3 dari 4 indikator penalaran matematika; siswa dengan tingkat kecemasan matematika sedang yaitu S6 mampu memenuhi 1 dari 4 indikaor penalaran matematika dan S16 tidak mampu memenuhi semua indikator penalaran matematika; siswa dengan tingkat kecemasan matematika tinggi yaitu S11dan S20 tidak mampu memenuhi semua indikator penalaran matematika. Hasil penelitian ini diharapkan dapat menjadi referensi dan pertimbangan bagi peneliti lain dan guru dalam memilih strategi pembelajaran sehingga dapat meningkatkan kemampuan penalaran matematika sekaligus mengurangi tingkat kecemasan siswa.
Â
Mathematical reasoning ability is a basic ability that must be possessed by students. Teachers as educators must be able to improve to learning mathematics. However, in reality there are anxiety barriers experienced by students who are not known. The purpose of this study was to analyze and describe students' mathematical reasoning abilities in terms of their level of math anxiety. This research is a qualitative research with descriptive method. Supporting instruments in this study include: 1) Mathematical Anxiety Questionnaire; 2) Mathematical Reasoning Ability Test; 3) Interview Guidelines. The Result known that students with low levels of math anxiety, namely S1 and S2, can fulfill 3 of the 4 indicators of mathematical reasoning; students with a moderate level of math anxiety, namely S6 were able to fulfill 1 of 4 indicators of mathematical reasoning and S16 were not able to fulfill all indicators of mathematical reasoning; students with high levels of math anxiety, namely S11 and S20, were unable to fulfill all indicators of mathematical reasoning. The results of this study are expected to be a reference for other researchers and teachers in choosing learning strategies so that they can improve mathematical reasoning abilities while reducing students' anxiety levels.
References
Andamon, J. C., & Tan, D. A. (2018). Conceptual understanding, attitude and performance in mathematics of Grade 7 Students. International Journal of Scientific and Technology Research, 7(8), 96–105.
Atmadja, I. N. P. B., & Budiartha, I. (2018). Teori-teori hukum.
Azwar, Z. (2015). Penyusunan skala psikologi. Yogyakarta: Pustaka Pelajar.
Boesen, J., Lithner, J., & Palm, T. (2010). The relation between types of assessment tasks and the mathematical reasoning students use. Educational Studies in Mathematics, 75(1), 89–105. https://doi.org/10.1007/s10649-010-9242-9
Caglar, M., & Senol, H. (2021). Factors that cause students to develop math anxiety and strategies to diminish. Cypriot Journal of Educational Sciences, 16(4), 1356–1367. https://doi.org/10.18844/cjes.v16i4.5984
Effendi, R. (2017). Konsep revisi taksonomi Bloom dan implementasinya pada pelajaran matematika SMP. JIPMat, 2(1).
Green, C. T., Bunge, S. A., Briones Chiongbian, V., Barrow, M., & Ferrer, E. (2017). Fluid reasoning predicts future mathematical performance among children and adolescents. Journal of Experimental Child Psychology, 157, 125–143. https://doi.org/10.1016/j.jecp.2016.12.005
Hadiana, D. (2015). Penilaian hasil belajar untuk siswa sekolah dasar. Jurnal Pendidikan dan Kebudayaan, 21(1), 15-26. https://doi.org/10.24832/jpnk.v21i1.173
Jäder, J., Sidenvall, J., & Sumpter, L. (2017). Students’ mathematical reasoning and beliefs in non-routine task solving. International Journal of Science and Mathematics Education, 15(4), 759–776. https://doi.org/10.1007/s10763-016-9712-3
Kusumawardani, D. R., Wardono, W., & Kartono, K. (2018, February). Pentingnya penalaran matematika dalam meningkatkan kemampuan literasi matematika. In Prisma, prosiding seminar nasional matematika (Vol. 1, pp. 588-595).
Lithner, J. (2008). A research framework for creative and imitative reasoning. Educational Studies in Mathematics, 67(3), 255–276. https://doi.org/10.1007/s10649-007-9104-2
Musa, N. H., & Maat, S. M. (2021). Mathematics anxiety: a case study of students’ learning experiences through cognitive, environment and behaviour. International Journal of Academic Research in Business and Social Sciences, 11(3), 932–956. https://doi.org/10.6007/ijarbss/v11-i3/8992
Putri, H. E., Wahyudy, M. A., Yuliyanto, A., & Nuraeni, F. (2020). Development of instruments to measure mathematical anxiety of elementary school students. International Journal of Learning, Teaching and Educational Research, 19(6), 282–302. https://doi.org/10.26803/IJLTER.19.6.17
Qausarina, H. (2016). Pengaruh kecemasan matematika (math anxiety) terhadap hasil belajar matematika siswa kelas X SMA Negeri 11 Banda Aceh (Doctoral dissertation, UIN Ar-Raniry Banda Aceh).
Samuel, T. S., & Warner, J. (2021). “I Can Math!â€: reducing math anxiety and increasing math self-efficacy using a mindfulness and growth mindset-based intervention in first-year students. Community College Journal of Research and Practice, 45(3), 205–222. https://doi.org/10.1080/10668926.2019.1666063
Saraswati, P. M. S., & Agustika, G. N. S. (2020). Kemampuan berpikir tingkat tinggi dalam menyelesaikan soal HOTS mata pelajaran matematika. Jurnal Ilmiah Sekolah Dasar, 4(2), 257-269.
Wafirah, M. (2018). Kemampuan penalaran matematis dan kecemasan matematika pada pembelajaran connected mathematics project berbasis quantum learning.
Usniati, M. I. A. (2011). Meningkatkan kemampuan penalaran matematika melalui pendekatan pemecahan masalah. UIN Syarif Hidayatullah
Wafirah, M. (2018). Kemampuan penalaran matematis dan kecemasan matematika pada pembelajaran connected mathematics project berbasis quantum learning.
Yaseer, A., & Sukestiyarno, M. (2014). Learning quantum teaching model with atong approach school program of integrated valid to improve character and critical thinking in probability material. In International Conference on Mathematics, Science, and Education (Vol. 5, No. 2, pp. 85-91).
Downloads
Additional Files
Published
Issue
Section
License
Authors who publish in Jurnal Analisa agree to the following terms:
1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
3.Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).