• lalu saparwadi
  • Cahyowatin Cahyowatin



problem solving, math, high ability.


The purpose of this study is to determine the process of solving the problem of students who are high-ability based on Polya step. This research uses the qualitative approach. The subject in this study was a high-ability student. The results of this study indicate that the ability to solve the problem of high-ability students based on Polya steps are: (1) Understanding the problem begins by understanding the vocabulary, identifying all the facts in the form of existing information data, connecting all information from the identification result, and ending by identifying the question ; (2) A plan for splitting begins with the selection of operations and establishes the formulation of equations; (3) Implement the plan of splitting; (4) Re-checking of the settlement result obtained by substituting the result obtained to the initial equation.


Bahar, A., & Maker, C. (2015). Cognitive Backgrounds of Problem Solving: A Comparison of Open-ended vs. Closed Mathematics Problems. Eurasia Journal of Mathematics, Science & Technology Education, 11(6).

Bayazit, I. (2013). An Investigation of Problem Solving Approaches, Strategies, and Models Used by the 7th and 8th Grade Students When Solving Real-World Problems. Educational sciences: Theory and practice, 13(3), 1920-1927.

Bingolbali, E. (2011). Multiple Solutions to Problems in Mathematics Teaching: Do Teachers Really Value Them?. Australian Journal of Teacher Education, 36(1), 18-31.

Ersoy, E., & Guner, P. (2015). The Place of Problem Solving and Mathematical Thinking in The Mathematical Teaching. The Online Journal of New Horizons in Education-January, 5(1).

Hadi, S. & Radiyatul, (2014) Metode Pemecahan Masalah Menurut Polya untuk Mengembangkan Kemampuan Siswa Dalam Pemecahan Masalah Matematis di Sekolah Menengah Pertama, Jurnal Pendidikan Matematika, Volume 2, Nomor 1, hlm 53 - 61

Huang, T. H., Liu, Y. C., & Chang, H. C. (2012). Learning Achievement in Solving Word-Based Mathematical Questions through a Computer-Assisted Learning System. Educational Technology & Society, 15(1), 248-259.

Hung, Y. H., Chang, R. I., & Lin, C. F. (2016). Hybrid learning style identification and developing adaptive problem-solving learning activities. Computers in Human Behavior, 55, 552-561.

Nasution (2007) Metode Reserch: Penelitian Ilmiah. Bumi Aksara. Jakarta

Ozdemir, S., & Reis, Z. A. (2013). The Effect of Dynamic and Interactive Mathematics Learning Environments (DIMLE), Supporting Multiple Representations, on Perceptions of Elementary Mathematics Pre-Service Teachers in Problem Solving Process. Online Submission, 3(3), 85-94.

Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An analysis of elementary school students’ difficulties in mathematical problem solving. Procedia-Social and Behavioral Sciences, 116, 3169-3174.

Polya G. (1973) How To Solve It. Princeton: Princeton University Press.

Rosmawati, Sri Elniati, Dewi Murn, (2012). Kemampuan Pemecahan Masalah Dan Lembar Kegiatan Siswa Berbasis Problem Solving, Jurnal Pendidikan Matematika, Vol. 1 No. 1, Hal. 80-84

Rudtin, N. A. (2013) Penerapan Langkah Polya Dalam Model Problem Based Instruction Untuk Meningkatkan Kemampuan Siswa Menyelesaikan Soal Cerita Persegi Panjang, Jurnal Elektronik Pendidikan Matematika Tadulako, Volume 01 Nomor 01.

Widodo, S. A. (2013) Analisis Kesalahan Dalam Pemecahan Masalah Divergensi Tipe Membuktikan Pada Mahasiswa Matematika. Jurnal Pendidikan dan Pengajaran, Jilid 46, Nomor 2, Juli 2013, hlm.106-113.

Widodo, S. A., & Sujadi, A. A. (2015). Analisis kesalahan mahasiswa dalam memecahkan masalah trigonometri. SOSIOHUMANIORA: Jurnal Ilmiah Ilmu Sosial dan Humaniora, 1(1).