Analysis of Mathematical Problem Solving Ability of Junior High School Students Based on Polya's Stages in View of Math Anxiety Levels

Ulfa Lutfiah; Yarman Yarman; Ahmad Fauzan; Elita Zusti Jamaan

doi:10.26737/jetl.v10i2.7854

Analysis of Mathematical Problem Solving Ability of Junior High School Students Based on Polya's Stages in View of Math Anxiety Levels

Ulfa Lutfiah, Yarman Yarman, Ahmad Fauzan, Elita Zusti Jamaan

Abstract

This study aims to describe mathematics anxiety, the factors that cause it, and the mathematical problem solving ability of junior high school students based on Polya's stages and the level of mathematics anxiety. Using a case study approach with qualitative methods, the research involved 66 eighth-grade students at SMP Negeri 24 Padang, with 14 selected as subjects representing low, moderate, and high levels of anxiety. The instruments used include math anxiety questionnaire, math problem solving test, and interviews. The results showed that: (1) 68.2% of students experience moderate anxiety, 18.2% low, and 13.6% high; (2) Students' math anxiety is due to difficulty understanding formulas, exam pressure, and low self-confidence and doubts about abilities which affect motivation and performance; (3) Students' abilities at Polya’s stages vary, with 61% able to understand the problem, 44% able to devise a plan, 8% able to carry out the plan, and 6% able to look back; (4) Students with low math anxiety able to follow all stages of Polya. Cognitively they are able to strategize logically, somatically there is no physical disturbance, and attitudinally they show high self-confidence; (5) Students with moderate anxiety show variations in ability. They understand the problem, but procedural errors often occur. Somatic symptoms such as tension disrupt focus, and attitudinally appear hesitant and lack confidence; (6) Students with high anxiety are only able to understand the problem. Their cognition is limited, somatic symptoms such as trembling, and attitudinally they tend to be afraid of failure and reluctant to try.

Keywords

Math Anxiety; Mathematical Problem Solving Ability; Polya Stages

Full Text:

PDF

References

Agusantia, D. (2023). Kemampuan Penalaran Analogi Siswa dalam Menyelesaikan Masalah Matematis Bangun Ruang Prisma Berdasarkan Tingkat Kecemasan Matematika. Universitas Pendidikan Indonesia.

Anggarawati, G., Prasetyowati, D., & Zuhri, M. S. (2023). Analisis Kemampuan Pemecahan Masalah Matematika Ditinjau dari Kecemasan Matematika Siswa. Didaktik : Jurnal Ilmiah PGSD STKIP Subang, 09(05), 2541–2553. https://doi.org/10.36989/didaktik.v9i5.2346

Azzahra, R. H., & Pujiastuti, H. (2020). Analisis Kemampuan Pemecahan Masalah Siswa Pada Materi Sistem Persamaan Linear Tiga Variabel. Transformasi : Jurnal Pendidikan Matematika Dan Matematika, 4(1), 153–162. https://doi.org/10.36526/tr.v4i1.876

Casty, M. M., Ciriaka, M. G., & Peter, R. (2021). Mathematics Anxiety, Attitude and Performance Among Secondary School Students in Kenya. Educational Research and Reviews, 16(6), 226–235. https://doi.org/10.5897/ERR2021.4119

Commodari, E., & La Rosa, V. L. (2021). General academic anxiety and math anxiety in primary school. The impact of math anxiety on calculation skills. Acta Psychologica, 220, 103413. https://doi.org/10.1016/j.actpsy.2021.103413

Cuder, A., Živković, M., Doz, E., Pellizzoni, S., & Passolunghi, M. C. (2023). The relationship between math anxiety and math performance: The moderating role of visuospatial working memory. Journal of Experimental Child Psychology, 233. https://doi.org/10.1016/j.jecp.2023.105688

Erviana, E., Ningsih, Y. L., & Fitriasari, P. (2020). Analysis of Mathematical Problem Solving Ability of Junior High School Students on Relation & Function Material with Polya’s Strategy. Daya Matematis : Jurnal Inovasi Pendidikan Matematika, 8(3), 182–187. https://doi.org/10.26858/jdm.v8i3.15233

Fadila, L., Arjudin, Tyaningsih, R. Y., & Kurniati, N. (2024). Analisis Kemampuan Pemecahan Masalah Matematika Ditinjau Dari Minat Belajar Siswa. Journal of Classroom Action Research, 6(4), 838–843. https://doi.org/10.52166/inspiramatika.v8i2.3488

Firda, N., Suryadi, D., & Dahlan, J. A. (2023). Kemampuan Pemecahan Masalah Matematis Siswa Sekolah Menengah Pertama Berdasarkan Polya. Edumatica: Jurnal Pendidikan Matematika, 13(3). https://doi.org/10.22437/edumatica.v13i03.29287

Hakim, R. N., & Adirakasiwi, A. G. (2021). Analisis Tingkat Kecemasan Matematis Siswa SMA. 4(4), 809–816. https://doi.org/10.22460/jpmi.v4i4.809-816

Himawan, R. F., & Sulaiman, R. (2021). Analisis Kesalahan Siswa dalam Menyelesaikan Permasalah Matematika Menurut Teori Polya Ditinjau Berdasarkan Kecemasan Matematika. MATHEdunesa : Jurnal Ilmiah Pendidikan Matematika, 10(1), 1–9. https://doi.org/10.26740/mathedunesa.v10n1.p1-9

Holidun, Masykur, R., Suherman, S., & Putra, F. G. (2018). Kemampuan Pemecahan Masalah Matematis Kelompok Matematika Ilmu Alam dan Ilmu-Ilmu Sosial. Desimal: Jurnal Matematika, 1(1), 29. https://doi.org/10.24042/djm.v1i1.2022

Hunt, T. E., & Maloney, E. A. (2022). Appraisals of previous math experiences play an important role in math anxiety. Annals of the New York Academy of Sciences, 1515(1), 143–154. https://doi.org/10.1111/nyas.14805

Irawadi, A. A., Sripatmi, Junaidi, & Baidowi. (2025). Kemampuan Pemecahan Masalah Matematis Siswa Ditinjau dari Kepercayaan Diri dan Kecemasan Matematika. Journal of Classroom Action Research, 7(1). https://doi.org/10.29303/jcar.v7i1.10081

Kartikasari, L., & Kurniasari, I. (2021). Profil Berpikir Reflektif Siswa SMP dalam Menyelesaikan Soal PISA Ditinjau dari Kecemasan Matematika. Jurnal Cendekia : Jurnal Pendidikan Matematika, 5(3), 2878–2895. https://doi.org/10.31004/cendekia.v5i3.936

Kurniawati, A. D., & Siswono, T. Y. E. (2014). Pengaruh Kecemasan dan Self Efficacy Siswa terhadap Kemampuan Pemecahan Masalah Materi Segiempat Siswa Kelas VII MTs Negeri Ponorogo. Jurnal Ilmiah Pendidikan Matematika, 3(2), 39. https://doi.org/10.26740/mathedunesa.v3n2.p%25p

Luttenberger, S., Wimmer, S., & Paechter, M. (2018). Spotlight on math anxiety. Psychology Research and Behavior Management, 11, 311–322. https://doi.org/10.2147/PRBM.S141421

Mammarella, I. C., Caviola, S., & Dowker, A. (2019). Models of Math Anxiety. In Mathematics Anxiety. https://doi.org/10.4324/9780429199981-1

Manah, N. K., Isnarto, I., & Wijayanti, K. (2017). Analysis of Mathematical Problem Solving Ability Based on Student Learning Stages Polya on Selective Problem Solving Model. Unnes Journal of Mathematics Education, 6(1), 19–26. https://doi.org/10.15294/ujme.v6i1.10855

Millania, N. A., & Fauziyah, N. (2024). Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMA dalam Menyelesaikan Soal Cerita SPLTV. Didactical Mathematics, 30(2), 202–2013. https://doi.org/10.31949/dm.v5i2.5480

Ojo, A., Oginni, O. G., Akinrinola, O. E., & Oginni, R. I. (2023). Impact of Cognitive-Behavioral Intervention on Alleviating Depression and Anxiety in Mathematics: Enhancing Students’ Learning Experience and Academic Performance. Voice of the Publisher, 09(04), 257–271. https://doi.org/10.4236/vp.2023.94020

Priyanto, D. (2017). Tingkat Dan Faktor Kecemasan Matematika Pada Siswa Sekolah Menengah Pertama. Jurnal Pendidikan Dan Pembelajaran Khatulistiwa (JPPK), 6(10), 1–11. https://doi.org/https://doi.org/10.26418/jppk.v6i10.22105

Ramirez, G., Shaw, S. T., & Maloney, E. A. (2018). Math Anxiety: Past Research, Promising Interventions, and a New Interpretation Framework. Educational Psychologist, 53(3), 145–164. https://doi.org/10.1080/00461520.2018.1447384

Rosiyanti, H., Ratnaningsih, D. A., Bahar, H., Iswan, & Faisal. (2021). Application of Mathematical Problem Solving Sheets in Polya’s Learning Strategy in Social Arithmetic Material. International Journal of Early Childhood Special Education, 13(2), 707–717. https://doi.org/10.9756/INT-JECSE/V13I2.211111

Safitri, R. R., Lukman, H. S., & Nurcahyono, N. A. (2022). Analisis Kemampuan Pemecahan Masalah Matematis Siswa Ditinjau Dari Kecemasan Matematis. Jurnal Cendekia : Jurnal Pendidikan Matematika, 6(3), 3469–3485. https://doi.org/10.31004/cendekia.v6i3.1571

Sari, R. M. M., Priatna, N., & Juandi, D. (2022). Analysis of High School Students Logical-Mathematical Thinking Ability Based on the Polya Stage Solving in Terms of Mathematical Self-Concept Ability. Prima: Jurnal Pendidikan Matematika, 6(1), 53. https://doi.org/10.31000/prima.v6i1.5316

Setiawan, M., Pujiastuti, E., & Susilo, B. E. (2021). Tinjauan Pustaka Systematik: Pengaruh Kecemasan Matematika Terhadap Kemampuan Pemecahan Masalah Siswa. QALAMUNA: Jurnal Pendidikan, Sosial, Dan Agama, 13(2), 239–256. https://doi.org/10.37680/qalamuna.v13i2.870

Taneo, P. N. L., & Kusumah, Y. S. (2021). Analysis of Students’ Mathematical Problem-Solving Ability Based on Category Levels Through Polya Steps. (Jiml) Journal of Innovative Mathematics Learning, 4(2), 87–95. https://doi.org/10.22460/jiml.v4i2.p87-95

Utami, R. W., & Wutsqa, D. U. W. (2017). Analisis Kemampuan Pemecahan Masalah Matematika dan Self-Efficacy Siswa SMP Negeri di Kabupaten Ciamis. Jurnal Terapan Abdimas, 4(2), 166–175. https://doi.org/10.25273/jta.v5i1.4642

Zhang, J., Zhao, N., & Kong, Q. P. (2019). The Relationship Between Math Anxiety and Math Performance: a Meta-Analytic Investigation. Frontiers in Psychology, 10(AUG), 1–17. https://doi.org/10.3389/fpsyg.2019.01613

DOI: http://dx.doi.org/10.26737/jetl.v10i2.7854

Refbacks

There are currently no refbacks.

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Published by:

Institute of Managing and Publishing of Scientific Journals STKIP Singkawang

Sekolah Tinggi Keguruan dan Ilmu Pendidikan (STKIP) Singkawang

Address : STKIP Singkawang, Jalan STKIP - Kelurahan Naram Singkawang, Kalimantan Barat, INDONESIA, 79251
No. Telp. : +62562 420 0344
No. Fax. : +62562 420 0584

JETL (Journal of Education, Teaching, and Learning)

e-ISSN : 2477-8478

p-ISSN : 2477-5924