Analysis of Students’ Mathematical Thinking Ability in Terms of Self Efficacy
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Nov 30, 2022
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Abstract
Mathematical thinking ability must be owned by students to solve various problems. Students are considered capable of fulfilling the indicators of mathematical thinking ability properly if they are balanced with good self-efficacy abilities. This research method is qualitative which aims to find new indicators and describe mathematical thinking ability in terms of self-efficacy and provide recommendations for teachers. The research subjects were six students from the first year of senior high school using purposive sampling. Indicators of mathematical thinking ability, include 1) Reasoning: identifying concepts and problems; 2) Generalizing: demonstrating mathematical ideas in writing and using mathematical language to express ideas correctly; 3) Critical Thinking: using representations to create mathematical models; 4) Problem Solving: planning problem solving strategies, implementing and checking results. 5) Communicating: revealing the results of problem solving. The results: 1) low self-efficacy’s students were only able to master reasoning; 2) moderate self-efficacy’s students are able to master reasoning, generalizing, and critical thinking; 3) high self-efficacy’s students are able to master all indicators. Recommendations for teachers are by giving opportunity to low self-efficacy’s students to speak in public, give appreciation for their efforts and reprimand if it doesn’t lower their confidence when they make mistakes.
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How to Cite
Shidqiya, A., & Sukestiyarno, S. (2022). Analysis of Students’ Mathematical Thinking Ability in Terms of Self Efficacy. Unnes Journal of Mathematics Education, 11(3), 272-281. https://doi.org/10.15294/ujme.v11i3.58772
References
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Hendriana, H., Rohaeti, E. E., & Hidayat, W. (2017). Metaphorical thinking learning and junior high school teachers’ mathematical questioning ability. Journal on Mathematics Education, 8(1), 55–64. https://doi.org/10.22342/jme.8.1.3614.55-64
Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The role of problem-based learning to improve students’ mathematical problem-solving ability and self confidence. Journal on Mathematics Education, 9(2), 291–300. https://doi.org/10.22342/jme.9.2.5394.291-300
Hendriana, H., Rohaeti, E. E., & Sumarmo, U. (2018). Hard skills dan soft skills matematik siswa (second; nurul falah atif, Red). bandung: PT refika aditama.
Herman, Fahinu, & Makkulau. (2016). Pengaruh Model Pembelajaran Van Hiele dan Pembelajaran Scientific terhadap Kemampuan Penalaran Geometris Berdasarkan Self-Efficacy Siswa Sekolah Menengah Pertama. Jurnal Pembelajaran Berpikir Matematika, 1(1), 41–50.
Indrawati, Yeti. (2014). Pengaruh Self Esteem, Self Efficacy Dan Kepuasan Kerja Terhadap Kinerja Karyawan (Studi Kasus Perawat RS Siloam Manado). Jurnal riset bisnis dan managemen, 2(4), 12–24.
Jarmita, N. (2015). Kesulitan Pemahaman Konsep Matematis Siswa Dalam Pembelajaran Matematika Di Kelas Awal Sekolah Dasar. PIONIR: Jurnal Pendidikan, 4(2), 1–16. Retrieved from https://jurnal.ar-raniry.ac.id/index.php/Pionir/article/view/176/157
Kahar, M. S. (2017). Analisis Kemampuan Berpikir Matematis Siswa SMA kota Sorong terhadap Butir Soal dengan Graded Response Model. Tadris: Jurnal Keguruan dan Ilmu Tarbiyah, 2(1), 11. https://doi.org/10.24042/tadris.v2i1.1389
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Long, C. Y., & Jiar, Y. K. (2014). Mathematical Thinking and Physics Achievement of Secondary School Students. Sains Humanika, 2(4), 231–237. https://doi.org/10.11113/sh.v2n4.492
Lutfianannisak, & Sholihah, U. (2018). Kemampuan Komunikasi Matematis Siswa dalam Menyelesaikan Soal Materi Komposisi Fungsi Ditinjau dari Kemampuan Matematika. Jurnal Tadris Matematika, 1(1), 1–8. https://doi.org/10.21274/jtm.2018.1.1.1-8
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Purnama, R. N., Kusmaryono, I., & Basir, M. A. (2019). Analisis Kemampuan Representasi Matematis Siswa Kelas VIII SMP Al Fattah Semarang Rizki. 3(1), 23–36.
Purnamasari, I., & Setiawan, W. (2019). Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMP pada Materi SPLDV Ditinjau dari Kemampuan Awal Matematika. Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, 3(2), 207. https://doi.org/10.31331/medivesveteran.v3i2.771
Putra, S. A., Daharnis, D., & Syahniar, S. (2013). Efektivitas Layanan Bimbingan Kelompok dalam Meningkatkan Self Efficacy Siswa. Konselor, 2(2), 1–6. https://doi.org/10.24036/02013221399-0-00
Rahmi, S., Nadia, R., Hasibah, B., & Hidayat, W. (2017). the Relation Between Self-Efficacy Toward Math With the Math Communication Competence. Infinity Journal, 6(2), 177. https://doi.org/10.22460/infinity.v6i2.p177-182
Ramdani, Y. (2012). PENGEMBANGAN INSTRUMEN DAN BAHAN AJAR UNTUK MENINGKATKAN KEMAMPUAN KOMUNIKASI, PENALARAN, DAN KONEKSI MATEMATIS DALAM KONSEP INTEGRAL. Jurnal Penelitian Pendidikan, 13(1), 44–52.
Sagala, Y. D. A., & Simanjuntak, M. P. (2019). Implementation of Project-Based Learning (PjBL) in Collaboration Skills and Communication Skills of Students. Annual International Seminar on Transformative Education and Educational Leadership (AISTEEL ), 384(4), 608–612. https://doi.org/10.2991/aisteel-19.2019.138
Saragih, S., & Napitupulu, E. (2015). Developing student-centered learning model to improve high order mathematical thinking ability. International Education Studies, 8(6), 104–112. https://doi.org/10.5539/ies.v8n6p104
Shidiq, U., & Choiri, M. (2019). Metode Penelitian Kualitatif di Bidang Pendidikan. Retrieved from http://repository.iainponorogo.ac.id/484/1/METODE PENELITIAN KUALITATIF DI BIDANG PENDIDIKAN.pdf
Sholikha, S. N., & Fitrayati, D. (2021). Integrasi Keterampilan 4C dalam Buku Teks Ekonomi SMA/MA. Edukatif: Jurnal Ilmu Pendidikan, 3(5), 2402–2418. Retrieved from https://www.edukatif.org/index.php/edukatif/article/view/823
Simamoraa, R. E., Sidabutar, D. R., & Surya, E. (2017). Improving Learning Activity and Students’ Problem Solving Skill Through Problem Based Learning (PBL) in Junior High School. IJSBAR:international journal of sciences:basic and applied research, 33(2), 321–331. Retrieved from http://search.proquest.com/docview/1773215035?accountid=8330
Subaidi, A. (2016). Self-Efficacy Siswa Dalam Pemecahan Masalah Matematika. Sigma, 1(2), 64–68. Retrieved from doi: http://dx.doi.org/10.0324/sigma.v1i2.68
Sugiyono. (2018). Metode penelitian kuantitatif, kualitatif, dan kombinasi (mix methods) (Sutopo, Red). Bandung: Alfa Beta.
Sukestiyarno, Y. L. (2021). Metode penelitian pendidikan (3rd ed). semarang.
Supandi, S., Suyitno, H., Sukestiyarno, Y. L., & Dwijanto, D. (2019). Adaptation and creativity in mathematics learning. Journal of Physics: Conference Series, 1321(2). https://doi.org/10.1088/1742-6596/1321/2/022132
Syafri, F. S. (2017). KEMAMPUAN REPRESENTASI MATEMATIS DAN KEMAMPUAN PEMBUKTIAN MATEMATIKA. Jurnal Edumath, 3(1), 49–55.
Tohir, M., Maswar, M., Moh, A., Saiful, S., & Rizki Pradita, D. A. (2020). Prospective teachers’ expectations of students’ mathematical thinking processes in solving problems. European Journal of Educational Research, 9(4), 1735–1748. https://doi.org/10.12973/EU-JER.9.4.1735
Utami, B., Saputro, S., Ashadi, A., Masykuri, M., & Widoretno, S. (2017). Critical thinking skills profile of high school students in learning chemistry. International Journal of Science and Applied Science: Conference Series, 1(2), 124. https://doi.org/10.20961/ijsascs.v1i2.5134
Zubaidah, S. (2018). Mengenal 4C: Learning and Innovation Skills Untuk Menghadapi Era Revolusi Industri 4.0. 2nd Science Education National Conference, 1–7.
Bandura, A. (2012). On the functional properties of perceived self-efficacy revisited. Journal of Management, 38(1), 9–44. https://doi.org/10.1177/0149206311410606
Choridah, D. T. (2013). Peran Pembelajaran Berbasis Masalah Untuk Meningkatkan Kemampuan Komunikasi Dan Berpikir Kreatif Serta Disposisi Matematis Siswa SMA. Infinity Journal, 2(2), 194. https://doi.org/10.22460/infinity.v2i2.35
Erdoğan, V. (2019). Integrating 4C Skills of 21st Century into 4 Language Skills in EFL Classes. International Journal of Education and Research, 7(11), 113–124. Retrieved from www.ijern.com
Fitri, I. (2017). Peningkatan Self Efficacy Terhadap Matematika Dengan Menggunakan Modul Matematika Kelas VIII SMP Negeri 2 Bangkinang. Jurnal Cendekia : Jurnal Pendidikan Matematika, 1(2), 25–34. https://doi.org/10.31004/cendekia.v1i2.17
Hendriana, H., Rohaeti, E. E., & Hidayat, W. (2017). Metaphorical thinking learning and junior high school teachers’ mathematical questioning ability. Journal on Mathematics Education, 8(1), 55–64. https://doi.org/10.22342/jme.8.1.3614.55-64
Hendriana, H., Johanto, T., & Sumarmo, U. (2018). The role of problem-based learning to improve students’ mathematical problem-solving ability and self confidence. Journal on Mathematics Education, 9(2), 291–300. https://doi.org/10.22342/jme.9.2.5394.291-300
Hendriana, H., Rohaeti, E. E., & Sumarmo, U. (2018). Hard skills dan soft skills matematik siswa (second; nurul falah atif, Red). bandung: PT refika aditama.
Herman, Fahinu, & Makkulau. (2016). Pengaruh Model Pembelajaran Van Hiele dan Pembelajaran Scientific terhadap Kemampuan Penalaran Geometris Berdasarkan Self-Efficacy Siswa Sekolah Menengah Pertama. Jurnal Pembelajaran Berpikir Matematika, 1(1), 41–50.
Indrawati, Yeti. (2014). Pengaruh Self Esteem, Self Efficacy Dan Kepuasan Kerja Terhadap Kinerja Karyawan (Studi Kasus Perawat RS Siloam Manado). Jurnal riset bisnis dan managemen, 2(4), 12–24.
Jarmita, N. (2015). Kesulitan Pemahaman Konsep Matematis Siswa Dalam Pembelajaran Matematika Di Kelas Awal Sekolah Dasar. PIONIR: Jurnal Pendidikan, 4(2), 1–16. Retrieved from https://jurnal.ar-raniry.ac.id/index.php/Pionir/article/view/176/157
Kahar, M. S. (2017). Analisis Kemampuan Berpikir Matematis Siswa SMA kota Sorong terhadap Butir Soal dengan Graded Response Model. Tadris: Jurnal Keguruan dan Ilmu Tarbiyah, 2(1), 11. https://doi.org/10.24042/tadris.v2i1.1389
Lestari, R. S., Rohaeti, E. E., & Purwasih, R. (2018). Profil kemampuan koneksi matematis siswa smp. Jurnal Ilmiah Pendidikan Matematika, 3(1), 51–58.
Long, C. Y., & Jiar, Y. K. (2014). Mathematical Thinking and Physics Achievement of Secondary School Students. Sains Humanika, 2(4), 231–237. https://doi.org/10.11113/sh.v2n4.492
Lutfianannisak, & Sholihah, U. (2018). Kemampuan Komunikasi Matematis Siswa dalam Menyelesaikan Soal Materi Komposisi Fungsi Ditinjau dari Kemampuan Matematika. Jurnal Tadris Matematika, 1(1), 1–8. https://doi.org/10.21274/jtm.2018.1.1.1-8
Permanasari, V., Sugiarto, B., & Kurniawati, I. (2013). Efektivitas Pendekatan Pembelajaran Open-Ended terhadap Kemampuan Berpikir Matematis Siswa pada Materi Trigonometri Ditinjau dari Kreativitas Belajar Matematika Siswa. Jurnal Pendidikan Matematika SoLuSi (Tersohor Luas dan Berisi), 1(1), 31–38.
Primasatya, N. (2016). Analisis Kemampuan Berpikir Matematis Calon Guru Sekolah Dasar Dalam Menyelesaikan Masalah Matematika. JPM : Jurnal Pendidikan Matematika, 2(1), 50–57. https://doi.org/10.33474/jpm.v2i1.206
Pujiastuti, E., Suyitno, H., Waluya, B., & Mulyono. (2020). Analysis and Tracing of the Problem Solving Process by Students in Advanced Calculus at UNNES. 443(Iset 2019), 83–86. https://doi.org/10.2991/assehr.k.200620.016
Purnama, R. N., Kusmaryono, I., & Basir, M. A. (2019). Analisis Kemampuan Representasi Matematis Siswa Kelas VIII SMP Al Fattah Semarang Rizki. 3(1), 23–36.
Purnamasari, I., & Setiawan, W. (2019). Analisis Kemampuan Pemecahan Masalah Matematis Siswa SMP pada Materi SPLDV Ditinjau dari Kemampuan Awal Matematika. Journal of Medives : Journal of Mathematics Education IKIP Veteran Semarang, 3(2), 207. https://doi.org/10.31331/medivesveteran.v3i2.771
Putra, S. A., Daharnis, D., & Syahniar, S. (2013). Efektivitas Layanan Bimbingan Kelompok dalam Meningkatkan Self Efficacy Siswa. Konselor, 2(2), 1–6. https://doi.org/10.24036/02013221399-0-00
Rahmi, S., Nadia, R., Hasibah, B., & Hidayat, W. (2017). the Relation Between Self-Efficacy Toward Math With the Math Communication Competence. Infinity Journal, 6(2), 177. https://doi.org/10.22460/infinity.v6i2.p177-182
Ramdani, Y. (2012). PENGEMBANGAN INSTRUMEN DAN BAHAN AJAR UNTUK MENINGKATKAN KEMAMPUAN KOMUNIKASI, PENALARAN, DAN KONEKSI MATEMATIS DALAM KONSEP INTEGRAL. Jurnal Penelitian Pendidikan, 13(1), 44–52.
Sagala, Y. D. A., & Simanjuntak, M. P. (2019). Implementation of Project-Based Learning (PjBL) in Collaboration Skills and Communication Skills of Students. Annual International Seminar on Transformative Education and Educational Leadership (AISTEEL ), 384(4), 608–612. https://doi.org/10.2991/aisteel-19.2019.138
Saragih, S., & Napitupulu, E. (2015). Developing student-centered learning model to improve high order mathematical thinking ability. International Education Studies, 8(6), 104–112. https://doi.org/10.5539/ies.v8n6p104
Shidiq, U., & Choiri, M. (2019). Metode Penelitian Kualitatif di Bidang Pendidikan. Retrieved from http://repository.iainponorogo.ac.id/484/1/METODE PENELITIAN KUALITATIF DI BIDANG PENDIDIKAN.pdf
Sholikha, S. N., & Fitrayati, D. (2021). Integrasi Keterampilan 4C dalam Buku Teks Ekonomi SMA/MA. Edukatif: Jurnal Ilmu Pendidikan, 3(5), 2402–2418. Retrieved from https://www.edukatif.org/index.php/edukatif/article/view/823
Simamoraa, R. E., Sidabutar, D. R., & Surya, E. (2017). Improving Learning Activity and Students’ Problem Solving Skill Through Problem Based Learning (PBL) in Junior High School. IJSBAR:international journal of sciences:basic and applied research, 33(2), 321–331. Retrieved from http://search.proquest.com/docview/1773215035?accountid=8330
Subaidi, A. (2016). Self-Efficacy Siswa Dalam Pemecahan Masalah Matematika. Sigma, 1(2), 64–68. Retrieved from doi: http://dx.doi.org/10.0324/sigma.v1i2.68
Sugiyono. (2018). Metode penelitian kuantitatif, kualitatif, dan kombinasi (mix methods) (Sutopo, Red). Bandung: Alfa Beta.
Sukestiyarno, Y. L. (2021). Metode penelitian pendidikan (3rd ed). semarang.
Supandi, S., Suyitno, H., Sukestiyarno, Y. L., & Dwijanto, D. (2019). Adaptation and creativity in mathematics learning. Journal of Physics: Conference Series, 1321(2). https://doi.org/10.1088/1742-6596/1321/2/022132
Syafri, F. S. (2017). KEMAMPUAN REPRESENTASI MATEMATIS DAN KEMAMPUAN PEMBUKTIAN MATEMATIKA. Jurnal Edumath, 3(1), 49–55.
Tohir, M., Maswar, M., Moh, A., Saiful, S., & Rizki Pradita, D. A. (2020). Prospective teachers’ expectations of students’ mathematical thinking processes in solving problems. European Journal of Educational Research, 9(4), 1735–1748. https://doi.org/10.12973/EU-JER.9.4.1735
Utami, B., Saputro, S., Ashadi, A., Masykuri, M., & Widoretno, S. (2017). Critical thinking skills profile of high school students in learning chemistry. International Journal of Science and Applied Science: Conference Series, 1(2), 124. https://doi.org/10.20961/ijsascs.v1i2.5134
Zubaidah, S. (2018). Mengenal 4C: Learning and Innovation Skills Untuk Menghadapi Era Revolusi Industri 4.0. 2nd Science Education National Conference, 1–7.