Analysis of Student Reversible Thinking Skills on Graph Concept

https://doi.org/10.24042/ijsme.v3i2.6768

Sugeng Sutiarso

Abstract


The ability of reversible thinking in mathematics has less attention, but most of the mathematical subject is reversible. This type of research was qualitative descriptive which aimed to analyze student’s reversible thinking skills on the graph concept. The subject of research were students of mathematics education, Faculty of Teacher Training and Education, Lampung University taking the graph theory in the academic year 2019/2020. Research subjects were 40 people selected by the total sampling technique. The research data was collected through tests, namely the question of Ramsey number. Data were analyzed descriptively with 3 stages, namely data reduction, data display, and conclusion. The results showed that 42.5% of students had reversible thinking skills and 57.5% of students did not have them. Based on the results of this study, it was concluded that most students did not have reversible thinking skills on graph concepts.


Keywords


graph concept, Ramsey number, reversible thinking

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References


M. D. Siagian, “Kemampuan Koneksi Matematika dalam Pembelajaran Mate-matika,” MES (J. of Mathematics Education and Science), vol. 2, no. 1, pp. 58-67, 2016.

N. Rahmah, “Hakekat Pendidikan Matematika,” Al-Khwarizmi: J. Pendidikan Matematika dan Ilmu Pengetahuan Alam, vol. 1, no. 2, pp. 1-10, 2013.

Hasratuddin, “Pembelajaran Matematika Sekarang dan yang akan Datang Berbasis Karakter,” J. Didaktik Matematika, vol. 1, no. 2, pp. 30-42, 2014.

R. Nillsen, “Does Mathematical Study Develop Logical Thinking? Testing the Theory of Formal Discipline, “Gazette of the Australian Mathematical Society, vol. 44, no. 3, pp. 163-165, 2017.

P. Ernest, The Philosophy of Mathematics Education Today. UK: Springer International Publishing, 2016.

Firdaus, I. Kailani, M. N. Bakar, and Bakry, “Developing Critical Thinking Skills of Students in Mathematics Learning, “ J. of Education and Learning, vol. 9, no. 3, pp. 226-236, 2015.

P. M. Gorev, A. R. Masalimova, F. S. Mukhametzyanova, and E. V. Makarova, “Developing Creativity of Schoolchildren through the Course Developmental Mathematics,” EURASIA J. of Mathematics Science and Technology Education, vol. 13, no. 6, pp. 1799-1815, 2017.

NCTM, “Principles and Standards for School Mathematics,” 2000. [Online]. Tersedia: http://nctm.org/standards/.[Diakses 2 Februari 2020].

Permendiknas, “Standar Isi, “, pp. 1-48, 2006.

T. Genarsih, T.A. Kusmayadi, and Mardiyana, “Proses Berpikir Reflektif Siswa dalam Pemecahan Masalah pada Materi Turunan Fungsi Ditinjau dari Efikasi Diri,” J. Elektronik Pembelajaran Matematika, vol. 3, no. 7, pp. 787-795, 2015.

Y. Aristyan, Sunardi, and D. Kurniati, “Proses Berpikir Reflektif Siswa dalam Menyelesaikan Soal Matematika Materi Sistem Persamaan Linear DuaVariabel,” J. Kadikma, vol. 7, no. 1, pp.94-104, 2016.

A. Suryana, “Kemampuan Berpikir Matematis Tingkat Lanjut dalam Mata Kuliah Statistika Matematika I,” in Prosiding Seminar Nasional Matematika dan Pendidikan Matematika FMIPA UNY Jogyakarta, 2012, pp. 37-48.

A. Sukmana, “Profil Berpikir Intuitif Matematik,” Laporan Penelitian, 2011.

F. Ibda, “Perkembangan Kognitif: Teori Jean Piaget,” Intelektualita, vol. 3, no. 1, pp. 27-38, 2015.

E. Ballingga, R. C. I. Prahmana, and N. Murniati,” Analisis Kemampuan Reversibilitas Siswa MTs Kelas VII dalam Menyusun Persamaan Linier,”J. Review Pembelajaran Matematika, vol. 1, no. 2, pp 117-131, 2016.

A. W. Destiwaty, “Penalaran Reversibilitas Siswa dalam Pemecahan Masalah Matematika Ditinjau dari Gaya Kognitif dan Kemampuan Awal,” Tesis, 2018.

N. Insani and N.H.Waryanto, “PenerapanTeori Graf pada Analisis Jejaring Sosial dengan Menggunakan Microsoft Nodexl,” Pythagoras, vol. 7, no. 1, pp.83-100, 2012.

H. Ghassani, “Aplikasi Graf pada Penentuan Jadwal dan Jalur Penerbangan,” 2016. [Online]. Tersedia: https://informatika.stei.itb.ac.id/~rinaldi.munir/Matdis/2015-2016/Makalah-Matdis-2015/Makalah-IF2120-2015-076.pdf. [Diakses 1 Juni 2020].

M. Kusmira and Taufiqurrochman,”PemanfaatanAplikasi Graf pada Pembuatan Jalur Angkot 05 Tasikmalaya,” in Prosiding Seminar Nasional Sains dan Teknologi Fakultas Teknik Universitas Muhammadiyah Jakarta, 2017, pp 1-6.

T. Sutrisno, “Aplikasi Graf dalam Rekayasa Perangkat Lunak,” J. Muara Sains, Teknologi, Kedokteran, dan Ilmu Kesehatan, vol. 1, no. 1, pp. 318-327, 2017.

N. L. Azizah and M. Suryawinata, “Aplikasi Pewarnaan Graf untuk Optimalisasi Distribusi Raskin di Kabupaten Sidoarjo,” J. Riset dan Aplikasi Matematika, vol. 2, no.1,pp. 31-40, 2018.

M. Mahmudah and T.N. Irawati, “Aplikasi Pewarnaan Graf terhadap Pembuatan Jadwal Ujian Semester di Jurusan Pendidikan MatematikaUniversitas Islam Jember,” Kadikma, vol. 9, no. 2, pp. 12-21, 2018.

R. K. Zahro, “Aplikasi Graf untuk Optimalisasi Pengaturan Traffic Light Menggunakan Algoritma Welsh-Powell di Persimpangan Patung Diponegoro Tembalang,” Makalah, 2019.

Mukhtar, Metode Penelitian Deskriptif Kualitatif. Jakarta: GP Press Group, 2013.

D. Budiastuti dan A. Bandur, Validitas dan Reliabilitas Penelitian Dilengkapi dengan Analisis NVIVO, SPSS, dan AMOS. Jakarta: Mitra Wacana Media, 2018.

A. Rijali, “Analisis Data Kualitatif,” J. Alhadharah, vol. 17, no. 33, pp. 81-95, 2018.

D. Hoiriyah, “Analisis Kemampuan Pemahaman Konsep Matematis Mahasiswa,” Logaritma: J. Ilmu-ilmu Pendidikan dan Sains, vol. 7, no. 1, pp. 123-136, 2019.

C. A. Ayal, Y. S. Kusuma, J. Sabandar, and J. A. Dahlan, “The Enhancement of Mathematical Reasoning Ability of Junior High School Students by Applying Mind Mapping Strategy,” J. of Education and Practice, vol. 7, no. 25, pp. 50-58, 2016.

A.M. Ramlan, “The Effect Of Van Hiele Learning Model Toward Geometric Reasoning Ability Based on Self-Efficacy of Senior High School Students,”J. of Mathematics Education, vol. 1, no. 2, pp. 63-72, 2016.

M. Saleh, R.C.I, Prahmana, and Murni, “Improving the Reasoning Ability of Elementary School Student through the Indonesian Realistic Mathematics Education,”J. on Mathematics Education, vol. 9, no. 1, pp. 41-54, 2018.

M. Bernard and S. Chotimah, “Improve Student Mathematical Reasoning Ability with Open-Ended Approach using VBA for Powerpoint,” 2018. [Online]. Tersedia: https://aip.scitation.org/doi/pdf/10.1063/1.505441 . [Diakses: 10 Juni 2020]

P. Putra and M. Ikhsan, “Mathematical Reasoning Ability and Learning Independence of High School Students through Problem Based Learning Model,”International J. for Educational and Vocational Studies, vol. 1, no. 3, pp. 217-223.

S. Safrida, M. Ikhsan, and H. Hajidin, “The Implementation of Discovery Learning Model to Improve Students’ Mathematical Reasoning Skill,” International J. of Sciences: Basic and Applied Research (IJSBAR), vol. 44, no. 2, pp. 19-25, 2019.

M. Warif, “Strategi Guru Kelas dalam Menghadapi Peserta Didik yang Malas Belajar, “Tarbawi: J. Pendidikan Agama Islam, vol. 4, no. 1, pp. 38-55, 2019.

Permendikbud, “Implementasi Kurikulum,” pp. 1-9, 2013.

J. Rianto, “Peningkatan Keberanian dan Tanggung Jawab Siswa dalam Pembelajaran Matematika melalui Strategi Cooperative Script,” Skripsi, 2012.

S. Widyaningsih, “Peningkatan Keberanian dan Motivasi Belajar Siswa dalam Pembelajaran Matematika melalui Metode Kooperatif Tipe STAD,” Skripsi, 2014.

Mustakim and Solikhin, “Upaya Meningkatkan Keberanian Siswa Bertanya dan Prestasi Belajar denganPembelajaran Think Pair Share (TPS) Berbantuan Media,”J. Pendidikan, vol. 16, no. 2, pp. 74-99, 2015.

Ismail, “The Influence of Learning Approachtoward Learning Outcomes in Mathematics Based on Prior Ability and Self Confidence of Grade VIII Students at SMPN 6 Moncongloe in Maros District,” J. Daya Matematis, vol. 5, no. 2, pp. 91-104, 2017.

S. Sutiarso, “The Ability of Students’ Mathematical Proof in An Introduction to Group Theory in terms of Gender Differences, “ J. Pendidikan MIPA, vol. 20, no. 2, pp. 60-67.

U. M. Sofyana and A. B. Kusuma, “Upaya Meningkatkan Kemampuan Penalaran Matematis Siswa Menggunakan Pembelajaran Generative, “Kontinu: J. Penelitian Didaktik Matematika, vol. 2, no.2, pp. 11-23, 2018.




DOI: https://doi.org/10.24042/ijsme.v3i2.6768

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