Problem solving skill of students of senior high schools and Islamic high schools in Tegal Regency in solving the problem of PISA based on Polya’s stage

Ayu Arfiana; Ariyadi Wijaya

doi:10.21831/jrpm.v5i2.15783

Problem solving skill of students of senior high schools and Islamic high schools in Tegal Regency in solving the problem of PISA based on Polya’s stage

Ayu Arfiana, Departement of Mathematics Education, Graduated Program, Universitas Negeri Yogyakarta, Indonesia
Ariyadi Wijaya, Departement of Mathematics Education, Graduated Program, Universitas Negeri Yogyakarta, Indonesia

10.21831/jrpm.v5i2.15783

Abstract

This study aimed to describe the students’ problem solving skill of senior high school and islamic high school in Tegal Regency in solving the problem of PISA based on Polya’s stage. The type of this study was a survey research with quantitative approach. The population was the students of senior high schools and islamic high schools in Tegal Regency. A sample of 389 students of grade X from 12 schools was estabilished using the stratified random sampling technique and cluster random sampling. The data were collected by using a test utilizing 12 PISA test items (reliability was 0.668). The Description of the data were analyzed using mean score, standard deviation, maximum and minimum score, and the percentage of correct answer. The results showed that the problem solving skill of senior high school and islamic high school students in Tegal Regency in solving the problem of PISA based on Polya’s stage was categorized as low. The indicators of the devising plan and looking back showed that the skill was in a very low category. Viewed from the indicator of carrying out a plan, their skill was in a medium category.

Keywords

problem solving skill; problem of PISA; Polya stage

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References

Alexander, R. (2013). How accurate is the PISA test? BBC News Megazine. Retrieved from http://www.bbc.com/news/magazine-25299445.

Carreira, S., Jones, K., Amado, N., Jacinto, H., & Nobre, S. (2016). Youngsters solving mathematical problems with technology: The results and implications of the Problem@Web Project. New York, NY: Springer.

Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education. New York, NY: Routledge.

Ebel, R. L., & Frisbie, D. A. (1991). Essentials of educational measurement (5th ed.). Englewood Cliffs, NJ: Prentice-Hall.

Elia, I., Heuvel-Panhuizen, M., & Kolovou, A. (2009). Exploring strategy use and strategy flexibility in non-routine problem solving by primary school high achievers in mathematics. ZDM Mathematics Education, 41, 605–618.

Evans, B. R. (2012). Editor’s perspective article: problem solving abilities and perceptions in alternative certification mathematics teachers. Journal of the National Association for Alternative Certification, 7(2), 34-43.

Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2012). How to design and evaluate research in education. New York, NY: McGraw-Hill.

Hudojo, H. (1988). Belajar mengajar matematika. Jakarta: Depdiknas.

Karatas, I., & Baki, A. (2013). The effect of learning environments based on problem solving on students’ achievements of problem solving. International Electronic Journal of Elementary Education, 5(3), 249-268.

Kemendikbud. (2016). Survei Internasional PISA. Retrieved from https://goo.gl/2DUwZS

Kruse, P. D. (2009). Working smart: Problem-solving strategies for school leaders. Maryland, MD: Rowman Littlefield.

Nitko, A. J., & Brookhart, S. M. (2011). Educational assesment of students. Boston, MA: Pearson Education.

OECD. (2013). PISA 2012 Assessment and analytical framework: Mathematics, reading, science, problem solving and financial literacy. Paris, France: OECD Publishing.

OECD. (2014). PISA 2012 results: What students know and can do – student performance in mathematics, reading and science (Volume 1, Revised Edition, February 2014). Paris, France: OECD Publishing.

OECD. (2016) PISA 2015 result in Focus. Paris, France: OECD Publishing.

Pimta, S., Tayraukham, S., & Nuangchalerm, P. (2009). Factors influencing mathematic problem-solving ability of sixth grade students. Journal of Social Sciences, 5(4), 381-385.

Polya, G. (1973). How to solve it: A new aspect of mathematical method (2nd ed.). Garden City, NY: Princeton University Press.

Republik Indonesia. (2006). Pembukaan Undang-Undang Dasar Republik Indonesia Tahun 1945.

Riduwan, R. (2012). Belajar mudah penelitian untuk guru, karyawan dan peneliti pemula. Bandung: Alfabeta.

Sari, R. H. N., & Wijaya, A. (2017). Mathematical literacy of senior high school students in Yogyakarta. Jurnal Riset Pendidikan Matematika, 4(1), 2017, 100-107. doi:10.21831/jrpm.v4i1.10649

Stephen, M. (2013). PISA: Poor academic standards and on even poorer test. Retrieved from http://www.telegraph.co.uk/education/10488665/PISA-Poor-academic-standards-and-an-even-poorer-test.html.

Tias, A. A. W., & Wutsqa, D. U. (2015). Analisis kesulitan siswa SMA dalam pemecahan masalah matematika kelas XII IPA di Kota Yogyakarta. Jurnal Riset Pendidikan Matematika, 2(1), 28. Retrieved from https://journal.uny.ac.id/index.php/jrpm/article/view/7148/6165

Van de Wall, J. A., Karp, K. S., & Bay-Williams, J. M. (2010). Elementary & middle school mathematics: Teaching developmentally (7th ed.). Boston, MA: Allyn and Bacon.

Wardhani, S., & Rumiati. (2011). Instrumen penilaian hasil belajar matematika SMP: Belajar dari PISA dan TIMSS. Yogyakarta: Pusat Pengembangan dan Pemberdayaan Pendidik dan Tenaga Kependidikan (PPPPTK) Matematika.

Wijaya, A., Van de Heuvel-Panhuizen, M., Doorman, M., & Robitzsch, A. (2014). Difficulties in solving context-based PISA mathematics tasks: An analysis of students’ errors. The Mathematics Enthusiast, 11(3), pp. 555-584.

DOI: https://doi.org/10.21831/jrpm.v5i2.15783