Analysis of Santri's critical thinking with Problem Solving approach

Yuliana Trisanti(1), Hairus Saleh(2Mail), Fetty Nuritasari(3),
(1) Department of Industrial Engineering, Universitas Madura, Pamekasan, 69371, Indonesia
(2) Department of Mathematics Education, Universitas Madura, Pamekasan, 69371, Indonesia
(3) Department of Mathematics Education, Universitas Madura, Pamekasan, 69371, Indonesia

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Abstract


This study aims to describe the students' thinking ability in solving mathematical problems with Islamic nuances on the subject of the 7th grade set of MTs Darul Ulum Banyuanyar. Before conducting the research, the subject was given learning or knowledge about mathematics with Islamic nuances, more specifically the set material. The technique of taking research subjects is done by using purposive sampling technique. The selected subjects were 3 respondents. In checking the validity of the research using triangulation, the triangulation used is time triangulation. The results of this study indicate that high-ability students can pass all indicators in the indicators of critical thinking, creative and inductive reasoning. Meanwhile, for students with moderate abilities (second and third subjects) in critical thinking, the two subjects go through elementary clarification indicators, not through basic support indicators and determine strategies and tactic. Indicators for drawing conclusions (inference) and further clarification (advances clarification) can be passed, but in the work carried out, it is not done correctly. In creative thinking, students with moderate ability are both through the indicators of fluency and flexibility, and not through indicators of originality and elaboration. Whereas in inductive reasoning the second subject only met two of the 3 indicators of inductive reasoning, namely, fulfilling the indicators of identifying mathematical processes/concepts and their tendencies from the given situation, and compiling estimates relevant to the statement. Meanwhile, in inductive reasoning, the third subject only fulfills one indicator, namely identifying mathematical processes/concepts and their tendencies from the given situation.

Keywords


Thinking Analysis; Mathematical Critical Thinking; Problem Solving Approach; Santri;

   

Article DOI



DOI: https://doi.org/10.33122/ijtmer.v5i3.142
       

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References


Akgul, S., & Kahvecil, N. G. (2016). A Study on the Devel-opment of a Mathematics Creativity Scale. Eurasian Journal of Educational Research, 62(62), 57–76. Retrieved from http://dx.doi.org/10.14689/ejer.2016.62.5

Arikunto, Suharsimi. (2010). Dasar-Dasar Evaluasi Pendidikan (Edisi Rivisi). Jakarta: Bumi Aksara.

Arifin, Zainal. 2011. Peneltian Pendidikan. Bandung: Remaja Rosdakarya.

Arslan, C., & Yavuz, G. (2012). A study on mathematical literacy self-efficacy beliefs of prospective teachers. Pro-cedia-Social and Behavioral Sciences, 46, 5622–5625.

Cetin, H., Erdogan, S. M., & Yazici, N. (2021). Predictive Power of 8th Grade Students’ Translating Among Multi-ple Representations Skills on their Algebraic Reasoning. International Journal of Progressive Education, 17(5), 119–133. https://doi.org/10.29329/ijpe.2021.375.9

Daud, Y., & Ayub, A. S. (2019). Student Error Analysis in Learning Algebraic Expression : A Study in Secondary School Putrajaya. Creative Education, 10(12), 2615–2630. https://doi.org/10.4236/ce.2019.1012189

Dewi, H. L., & Widyastuti, A. (2020). Matematika Islam? Studi Kasus Pengaruh Matakuliah Matematika Islam Terhadap Sikap Matematis Mahasiswa Tadris Matematika Iain Pekalongan. Delta: Jurnal Ilmiah Pendidikan Matematika, 8(1), 61–70.

Dores, O. J., & Setiawan, B. (2019). Meningkatkan Literasi Matematis Mahasiswa Calon Guru Sekolah Dasar dalam Membelajarkan Matematika. Jurnal Pendidikan Matemat-ika Indonesia, 4(1), 42–46.

Fatah, A., Suryadi, D., Sabandar, J., & Turmudi, T. (2016). Open-Ended Approach: an Effort in Cultivating Stu-dents’ Mathematical Creative Thinking Ability and Self-Esteem in Mathematics. Journal on Mathematics Ed-ucation, 7(1), 9–18. https://doi.org/10.22342/jme.7.1.2813.9-18

Foster, C. (2015). The Convergent–Divergent model: an op-portunity for teacher–learner development through principled task design. Educational Designer, 2(8), 1–25.

Gregory, E., Hardiman, M., Yarmolinskaya, J., Rinne, L., & Limb, C. (2013). Building Creative Thinking in the Classroom: From Research to Practice. International Journal Educational Research, 62, 43–50. Retrieved from

http://olms.cte.jhu.edu/olms2/data/ck/ sites/237/files/Gregory et al.pdf

Griffin, D. (2014). Education Reform: The Unwinding of Intelligence and Creativity. (S. R. Steinberg & K. Tobin, Eds.) (Volume 28). Switzerland: Springer International Publishing. https://doi.org/10.1007/978-3-319-01994-9

Hakim, W., Sulandra, I. M., & Hidayanto, E. (2018). Penalaran Kreatif Siswa SMP dalam Menyelesaikan Masalah Sistem Persamaan Linier Dua Variabel ( SPLDV ). Jurnal Pendidikan: Teori, Penelitian, Dan Pengembangan, 3(5), 608–619.

Hasanah, S.I. & Saleh, Hairus. (2018). Pengembangan Perangkat Pembelajaran Matematika Berbasis Lesson Study Untuk Meningkatkan Profesionalitas Pendidik Di Daerah Tertinggal. Sigma Vol 2 No 2, 67-79.

Herianto, H., & Hamid, N. (2020). Analisis Proses Berpikir Kreatif Dalam Pemecahan Masalah Geometri Ber-dasarkan Gaya Kognitif Reflektif Dan Impulsif Siswa. Pedagogy: Jurnal Pendidikan Matematika, 5(2), 38–49. https://doi.org/10.30605/pedagogy.v5i2.403

Hidayah, I. Nurul, Sa’dijah, C., Subanji, & Sudirman. (2020). Characteristics of Students’ Abductive Reasoning in Solving Algebra Problems. Journal on Mathematics Educa-tion, 11(3), 347–362. https://doi.org/http://doi.org/10.22342/jme.11.3.11869.347-362

İnce, H., Çenberci, S., & Yavuz, A. (2018). The Relationship between the Attitudes of Mathematics Teacher Candi-dates towards Scientific Research and Their Thinking Styles. Universal Journal of Educational Research, 6(7), 1467–1476. https://doi.org/10.13189/ujer.2018.060707

Jannah, U. R.(2019). Restructuring of STEM-Based Student Thinking In Constructing The Concept Of Definition a Function. International Journal of Civil Engineering and Technology (IJCIET). Vol 10, Issue 03, pp 795-806

Jupri, A., Drijvers, P., & van den Heuvel-Panhuizen, M. (2014). Difficulties in initial algebra learning in Indonesia. Mathematics Education Research Journal, 26(4), 683–710. https://doi.org/10.1007/s13394-013-0097-0

Kaçan, S. D., & Şahin, F. (2015). An Inquiry Concerning the Characterıstics of the Creative Person. Journal of Education and Practice, 6(27), 86–89.

Lee, K. H. (2017). Convergent and divergent thinking in task modification : a case of Korean prospective mathematics teachers ’ exploration. ZDM Mathematics Education, 49, 995–1008.

https://doi.org/10.1007/s11858-017-0889-x

Leikin, R., & Lev, M. (2013). Mathematical creativity in generally gifted and mathematically excelling adolescents: What makes the difference? ZDM - International Journal on Mathematics Education, 45(2), 183–197. https://doi.org/10.1007/s11858-012-0460-8

Lestari, K. E., & Yudhanegara, M. R. (2015). Penelitian Pen-didikan Matematika. Bandung: Refika Aditama.

Mastuti, A. G., Nusantara, T., Purwanto, As’ari, A., Subanji, Abadyo, & Susiswo. 2016. Interpretation Awareness of Creativity Mathematics Teacher High School. International Education Studies, 9(9), 32–41. https://doi.org/10.5539/ies.v9n9p32

Miatun, A., & Nurafni, N. (2019). Profil kemampuan berpikir kreatif matematis ditinjau dari gaya kognitif reflective dan impulsive. Jurnal Riset Pendidikan Matematika, 6(2). https://doi.org/10.21831/jrpm.v6i2.26094

Mursalin, M., Nuraini, N. L. S., Purnomo, H., Damayanti, N. W., Kristanti, D., Rohim, A., … Muliana, M. (2018). The development of algebra teaching materials to foster students’ creative thinking skills in higher education. In Journal of Physics: Conference Series (Vol. 1088). https://doi.org/10.1088/1742-6596/1088/1/012101

Newton, D. P. (2013). Moods, emotions and creative thinking: A framework for teaching. Thinking Skills and Creativity, 8(1), 34–44.

https://doi.org/10.1016/j.tsc.2012.05.0 06

Saleh, H. (2019). Convergent And Divergent Ways of Thinking in Problem Solving : a Case Study on Junior High School. IJOIMT, 02(1), 11–21.

Saleh, H., Hasanah, S. I., Subaidi, A. (2019). Implementation of Multivariate Analysis of Variance (MANOVA) in ex-periments factorial two factors (Study: Growth and de-velopment of soybean germination). Journal of Physics: Conference Series. 1375 (1), 012013

Saleh, H., Nurdyansyah, Hasanah, F. N., Rudyanto, H. E., Mu’alimin. (2019). Application of Classroom Response Systems (CRS): Study to Measure Student Learning Outcome. International Journal of Emerging Technologies in Learning, Vol 14, No 14, 132-142

Santrock, J. W. (2010). Educational Psychology. Dallas: Univer-sity of Texas.

Sitorus, J., & Masrayati. (2016). Students’ creative thinking process stages implementation of realistic mathematics education. Thinking Skills and Creativity, 16, 1–13. https://doi.org/10.1016/j.tsc.2016.09.007

Sriwongchai, A., Jantharajit, N., & Chookhampaeng, S. (2015). Developing the Mathematics Learning Management Model for Improving Creative Thinking In Thailand. In-ternational Education Studies, 8(11), 77–87. https://doi.org/10.5539/ies.v8n11p77

Subaidi, Agus. (2016). “Profil Berpikir Kritis Siswa SMA Da-lam Memecahkan Masalah Trigonometri Ditinjau Dari Kemampuan Matematika Tinggi”. Prosiding Semnasdik 2016 Prodi Pend. Matematika FKIP Universitas Madura, 1: 44-49.

Sugiyono. (2010). Metode Penelitian Pendidikan. Bandung: Alfabeta.

Sumarmo, Utari. (2016). Pedoman Pemberian Skor Pada Beragam Tes Kemampuan Matematik. Bahan Ajar Mata kuliah Evaluasi Pembelajaran Matematika.Program Magister Pendidikan Matematika STKIP Siliwang Bandung.

Sumartini, T, S. (2015). “Peningkatan Kemampuan Penalaran Matematis Siswa Melalui Pembelajaran Berbasis Masa-lah”. Jurnal Pendidikan Matematika, 5(1): 1-10.

Sumberto. (2013). Peningkatan Aktivitas Siswa Dalam Pem-belajaran Matemtika Dengan Metode Inkuiri di Kelas V Sekolah Dasar Negeri 08 Padang Pio. Indonesian Journal Education, 82(2): 83-85.

Švecová, V., Rumanová, L., & Pavlovičová, G. (2014). Support of Pupil’s Creative Thinking in Mathematical Education. Procedia - Social and Behavioral Sciences, 116, 1715–1719.

https://doi.org/10.1016/j.sbspro.2014. 01.46

Trisanti, Yuliana & Nusantara, Toto. (2021). The properties of anti-fuzzy line graphs regular. Journal of Physics Confer-ence Series, 1872 (1): 012010. DOI:10.1088/1742-6596/1872/1/012010

Zayyadi, M. (2015). “Critical thinking Student Of Prspective Teacher In Mathematic’s Problem Soving Based On A Different Mathematic Ability”. Proceeding Of International Seminar Character Building, 190-193.


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