Analysis of Students’ Creative Thinking in Solving Arithmetic Problems

Lila Puspitasari; Akhsanul In'am; Mohammad Syaifuddin

doi:10.12973/iejme/3962

Full Text (PDF)

Lila Puspitasari ¹, Akhsanul In'am ¹ ^* , Mohammad Syaifuddin ¹

More Detail

¹ Mathematics Department, University of Muhammadiyah Malang, INDONESIA^* Corresponding Author

Abstract

It is aimed at analyzing students’ creative thinking in solving arithmetical problems in State Junior High School 11 Malang, Indonesia. It is a qualitative approach with the type of case study where the number of the subjects were 6 students consisting of two students with high ability, two with moderate ability and two with low ability in mathematics. The results showed that the subjects under the category of high ability in mathematics did not show problems dealing with fluency, flexibility, and originality aspects, except in elaboration aspect. Students with moderate ability in mathematics still had difficulty in understanding mathematical problems, it may be seen from their steps in their less structured, detailed, and systematic solutions especially for the first problem. When they solved the problems given, their computation process was less careful, and trial and error strategies were mostly adopted in solving them. Students with low ability had difficulty in understanding the problems. Their ideas appearing in their mind were still trial and error in nature, not well structured, less systematic and detailed so that in solving and arranging the solution steps, they still encountered a lot of obstacles.

Keywords

creative
fluency
flexibility
originality
elaboration

License

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, 2019, Volume 14, Issue 1, 49-60

https://doi.org/10.12973/iejme/3962

Publication date: 22 Nov 2018

Article Views: 7325

Article Downloads: 7969

Open Access References How to cite this article

References

Anwar, N. M., Aness, M., & Khizar, A. (2012). Relationship of Creative Thinking with Academic Achievements of Secondary School Students. International Interdisciplinary Journal of Education, 1(3), 12–24.
Azhari. (2013). Peningkatan Kemampuan Berpikir Kreatif Matematika Siswa Melalui Pendekatan Kontruktivisme Di Kelas VII Sekolah Menengah Pertama (SMP) Negeri 2 Banyumas III. Jurnal Pendidikan Matematika.
Cahyaningros, M. I., Sukestiyarno, S., & Sugianto, S. (2013). Pembentukan Karakter Dan Berpikir Kritis Menggunakan Teori Konstruktivisme Dengan Pendekatan Inkuiri Materi Trigonometri. Unnes Journal of Mathematics Education Research.
Creswell, J. W. (2010). Research Design: Pendekatan Kualitatif, Kuantitatif, dan Mixes (Edisi ke 3). Yogyakarta: Pustaka Pelajar.
Daswa. (2013). Penerapan Model Pembelajaran Sinektik Untuk Meningkatkan Kemampuan Berpikir Kreatif Dan Komunikasi Matematis Siswa Madrasah Tsanawiyah. Universitas Pendidikan Indonesia > Sekolah Pasca Sarjana > Pendidikan Matematika S-2.
Emzir. (2010). Metodologi Penelitian Kualitatif: Analisis Data. Jakarta: Raja Grafindo.
Glassner, A., & Schwarz, B. B. (2007). What stands and develops between creative and critical thinking?. Argumentatin? Journal Articles; Reports - Research ISSN-1871-1871. https://doi.org/10.1016/j.tsc.2006.10.001
Goodson, L, FJ. King, & Rohani, F. (2015). Improving student’s higher-order thinking competencies, including critical evaluation, creative thinking, and reflection on their own thinking. (Level, Declarative Knowledge, Plan, Quality Enhancement), Research in Science Education.
Hudojo, H. (1998). Mengajar Belajar Matematika. Jakarta: Depdikbud.
Ikhsan, M., & Rizal, S. (2014). Penerapan Model Pembelajaran Berbasis Masalah untuk Meningkatkan Kemampuan Berpikir Kritis dan Disposisi Matematis Siswa. Penerapan Model Pembelajaran Berbasis Maslalah Untuk Meningkatkan Kemampuan Berpikir Kritis Dan Disporsisi Matematis Siswa. http://doi.org/10.1039/b908937c
Indiastuti, F. (2016). Pengembangan Perangkat Model Discovery Learning Berpendekatan Saintifik untuk Meningkatkan Berpikir Kreatif dan Rasa Ingin Tahu. Jurnal Pendidikan Matematika.
Iskandar, J., & Riyanti, R. (2015). Upaya Meningkatkan Kemampuan Berpikir Kreatif Siswa SMP Dengan Pendekatan Matematika Realistik Indonesia. In seminar Nasional Matematika dan Pendidikan Matematika UNY.
Ismaimuza, D. (2013). Kemampuan berpikir kritis dan kreatif matematis siswa smp melalui pembelajaran berbasis masalah dengan strategi konflik kognitif. Jurnal Teknologi (Sciences and Engineering). http://doi.org/10.11113/jt.v63.2002
Johnson, B. E. (2006). Contextual Teaching & Learning, terj. Ibnu Setiawan. Bandung: MLC.
Kirkley, J. (2003). Principle for Teaching Problem Solving Technical Paper #4. Indiana University, Plato Learning.
Miles, M. B., & Huberman, A. M. (1992). Analisis Data kuantitatif: Buku Sumber tentang Metode-metode Baru. Jakarta: UI Press.
Moleong, L. J. (2002). Metodologi penelitian kualitatif. Bandung: Remaja Rosdakarya.
Munandar, U. (1999). Kreativitas dan keberbakatan. Jakarta: Gramedia Pustaka Utama.
Munandar, U. (2009). Pengembangan Kreativitas Anak Berbakat. Jakarta: Rineka Cipta.
NCTM. (2000). Principles and Standarts for School Mathematics. Reston, VA: NCTM.
Newman, F. M., & W. G. (1993). Five standaars for authentic instruction. Educational Leadership, 50, 87.
Noer, S. H. (2007). Pembelajaran Open-Ended untuk Meningkatan Kemampuan Pemecahan Masalah Matematik dan Kemampuan Berpikir Kreatif (Penelitian Eksperimen pada Siswa Salah Satu SMP N di Bandar Lampung). Tesis Sps UPI: Tidak Diterbitkan.
Noer, S. H. (2011). Kemampuan Berpikir Kreatif Matemtis Dan Pembelajaran Matematika Berbasis Masalah Open-Ended. Jurnal Pendidikan Matematika, 5(1).
Nugraha, T. S., & Mahmudi, A. (2015). Keefektifan Pembelajaran Berbasis Masalah dan Problem Posing Ditinjau dari Kemampuan Berpikir Logis dan Kritis. Jurnal Riset Pendidikan Matematika. https://doi.org/10.21831/jrpm.v2i1.7154
Nuryanti, M. (2016). Peningkatan Kemampuan Komunikasi Dan Berpikir Kritis Matematis Melalui Model Kooperatif Stad Dan Murder. Jurnal Pengajaran MIPA. http://doi.org/10.18269/JPMIPA.V21I1.654
Pehkonen, E. (1997). The State-of-Art in Mathematical Creativity. Number 3 Electronic Edition ISSN 1615-679x. https://doi.org/10.1007/s11858-997-0001-z
Polya, G. (1973). How To Solve It: A New Aspect of Mathematical Method (ed 2). Princeton, New Jersey: Princeton University Press.
Sabandar, J. (2005). Pertanyaan Tantangan dalam Memunculkan Berpikir Kritis dan Kreatif dalam Pembelajaran Matematika. Makalah disajikan dalam MIPA-JICA.
Saragih, S., & Napitupulu, E. (2015). Developing Student-Centeres Learning Model to Improve High Order Mathematical Thinking Ability. Canadian Center of Science and Education, 8, 104–112.
Sari, I. P., & Yunarti, T. (2015). Open-ended Problems untuk Mengembangkan Kemampuan Berpikir Kreatif Siswa. In Seminar Nasional Matematika dan Pendidikan Matematika UNY.
Semiawan, C. R. (2009). Memupuk Bakal dan Kreativitas Siswa Sekolah Menengah. Jakarta: Gramedia.
Sharma, Y. (2014). The Effects of Strategy and Mathematics Anxiety on Mathematical Creativity of School Students, Ramgarhia College of Education, Phagwara, Punjab, India. Mathematics Education, 9(1), 25–37.
Sharma, Y., & Sansanwal, D. (2011). Construction of a standardized scale for measuring mathematics anxiety in school children. Experiments in Education, XXXIX(1), 31–32.
Sharma, Y., & Sansanwal, D. (2012). Development and standardization of mathematical creativity test. The Mathematics Education, XLVI(4).
Shriki, A. (2010). Working like real mathematicians: developing prospective teacher’s awareness of mathematical creativity through generating new concepts. Educational Studies in Mathematics. https://doi.org/10.1007/s10649-009-9212-2
Silver, E. (1997). Fostering Creativity through Instruction Rich in Mathematical Solving and Problem Posting.
Siswono, T. Y. (2004). Identifiying Creative Thinking Process of Students through Mathematics Problem Posing. Bandung Islamic University: Proceeding of the International Conference on Statistics and Mathematics and Its Application in the Development of Science and Technology.
Soeyono, Y. (2014). Pengembangan Bahan Ajar Matematika dengan Pendekatan Open-ended untuk Meningkatkan Kemampuan Berpikir Kritis dan Kreatif Siswa SMA. PYTHAGORAS: Jurnal Pendidikan Matematika.
Sriraman, B. (2004). The Characteristi of Mathematical Creativity. The Mathematics Educators, 14(1), 19–34.
Sriraman, B., & Lee, K. H. (2011). The Elements of Creativity and Giftedness in Mathematics. Rotterdam: Sense Publisher. https://doi.org/10.1007/978-94-6091-439-3
Sukmadinata, N. S. (2011). Metode Penelitian Pendidikan. Cetakan ke 7. Bandung: Remaja Rosdakarya.
Sumarmo, U., & Dedy, E. R. (1994). Suatu Alternatif Pengajaran untuk Meningkatkan Pemecahan Masalah Matematika pada Guru dan Siswa SMA. Bandung: Laporan Hasil Penelitian FPMIPA IKIP Bandung.
Sunaryo, Y. (2014). Model Pembelajaran Berbasis Masalah Untuk Meningkatkan Kemampuan Berpikir Kritis Dan Kreatif Matematika Siswa SMA Di Kota Tasikmalaya. Jurnal Pendidikan Dan Keguruan. http://doi.org/10.1007/s13398-014-0173-7.2
Supardi. (2015). Peran Berpikir Kreatif Dalam Proses. Jurnal Formatif.
Suryadi, D., & Herman, T. (2008). Eksplorasi Matematika Pembelajaran Pemecahan Masalah. Jakarta: Karya Duta Wahana.
Tan, S. Y., & Halili, S. H. (2015). Effective Teaching of Higher-Order Thinking (HOT) in Education. The Online Journal of Distance Education and e-Learning.
Thomas, A., & Thorne, G. (2009). How to Increase Higher Order Thinking. Metarie, LA: Center for Development and Learning.
TIMMS. (2015). International Results in Mathematics. USA: TIMSS & PRILS International Study Center.
Wena, M. (2013). Strategi Pembelajaran Inovatif Kontemporer: Suatu Tinjauan Konseptual Operasional. Jakarta: Bumi Aksara.
Wulantina, E., T. A. K. & R. (2015). Proses Berpikir Kreatif Siswa dalam Pemecahan Masalah Matematika Ditinjau dari Kemampuan Matematika pada Siswa Kelas X MIA SMAN 6 Surakarta. Jurnal Elektronik Pembelajaran Matematika ISSN: 2339-1685, 3(6).

How to cite this article

APA

Puspitasari, L., In'am, A., & Syaifuddin, M. (2019). Analysis of Students’ Creative Thinking in Solving Arithmetic Problems. International Electronic Journal of Mathematics Education, 14(1), 49-60. https://doi.org/10.12973/iejme/3962

Vancouver

Puspitasari L, In'am A, Syaifuddin M. Analysis of Students’ Creative Thinking in Solving Arithmetic Problems. INT ELECT J MATH ED. 2019;14(1):49-60. https://doi.org/10.12973/iejme/3962

AMA

Puspitasari L, In'am A, Syaifuddin M. Analysis of Students’ Creative Thinking in Solving Arithmetic Problems. INT ELECT J MATH ED. 2019;14(1), 49-60. https://doi.org/10.12973/iejme/3962

Chicago

Puspitasari, Lila, Akhsanul In'am, and Mohammad Syaifuddin. "Analysis of Students’ Creative Thinking in Solving Arithmetic Problems". International Electronic Journal of Mathematics Education 2019 14 no. 1 (2019): 49-60. https://doi.org/10.12973/iejme/3962

Harvard

Puspitasari, L., In'am, A., and Syaifuddin, M. (2019). Analysis of Students’ Creative Thinking in Solving Arithmetic Problems. International Electronic Journal of Mathematics Education, 14(1), pp. 49-60. https://doi.org/10.12973/iejme/3962

MLA

Puspitasari, Lila et al. "Analysis of Students’ Creative Thinking in Solving Arithmetic Problems". International Electronic Journal of Mathematics Education, vol. 14, no. 1, 2019, pp. 49-60. https://doi.org/10.12973/iejme/3962