Main Article Content
Abstract
This study purposes to describe the strategies used by students in solving PISA type problems seen from the strategy of problem solving according to Polya. The research methodology is qualitative type descriptive study. Research subjects were 6 high school students in Palembang who had different levels of mathematical ability. Data was gathered using observation, interviews, and student answer sheets on the type of PISA questions given. The results showed that the dominant strategy used by students in solving PISA type problems included making pictures when they solve problem related to geometry; looking for possible answers systematically when they try to solve problem within numeric; writing information stated and the question when the problem is in the form of storytelling; and using trial and error when the problem provide answer alternatives.
Keywords
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Copyright (c) 2021 Meryansumayeka, Zulkardi, Ratu Ilma Indra Putri, Cecil Hiltrimartin
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References
- Anisah, A., Zulkardi, Z., & Darmawijoyo, D. (2011). Developing PISA model mathematical problem on quantity content to measure the mathematical reasoning abilities of junior high school students [in Bahasa]. Jurnal Pendidikan Matematika, 5(1), 1-15. DOI: https://doi.org/10.22342/jpm.5.1.333.
- Anwar, S. (2013). The use of Polya's problem solving steps in solving story questions on comparative material in class VI Mial-Ibrohimy Galis Bangkalan [in Bahasa]. MATHEdunesa, 2(3), 1-6.
- Bidasari, F. (2017). PISA model mathematics problem development on quantity content to measure junior high school students' mathematical problem-solving ability [in Bahasa]. Jurnal Gantang, 2(1), 63-77. DOI: https://doi.org/10.31629/jg.v2i1.59.
- Brookhart, S. M. (2010). How to assess higher-order thinking skills in your classroom. ASCD.
- Charmila, N., Zulkardi, Z., & Darmawijoyo, D. (2016). PISA model mathematical problem development using Jambi Context [in Bahasa]. Jurnal Penelitian dan Evaluasi Pendidikan, 20(2), 198-207. DOI: https://doi.org/10.21831/pep.v20i2.7444.
- Dasaprawira, M. N. (2019). Developing mathematics questions of PISA type using Bangka context. Journal on Mathematics Education, 10(2), 303-314. DOI: https://doi.org/10.22342/jme.10.2.5366.303-314.
- Dewantara, A. H., Zulkardi, Z., & Darmawijoyo, D. (2015). Assessing seventh graders’ mathematical literacy in solving PISA-like tasks. Journal on Mathematics Education, 6(2), 117-128. DOI: https://doi.org/10.22342/jme.6.2.2163.117-128.
- Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2011). How to design and evaluate research in education. New York: McGraw-Hill Humanities/Social Sciences/Languages.
- Farida, N. (2015). Analysis of the errors of grade VIII junior high school students in solving math problem problems [in Bahasa]. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 4(2), 42-52. DOI: http://dx.doi.org/10.24127/ajpm.v4i2.306.
- Fatmawati, D. (2016). Development of PISA-like math problems on change and relationship content for junior high school students [in Bahasa]. MATHEdunesa, 5(2), 29-38.
- Fauziah, A. (2016). PISA type mathematical problem design on uncertainty content and data to know the argument ability of junior high school students [in Bahasa]. In National Seminar and Workshop on PISA 2016.
- Griffin, P., & Care, E. (Eds.). (2014). Assessment and teaching of 21st century skills: Methods and approach. Springer.
- Istiqomah, N. (2014). The thinking process of junior high school (SMP) students in solving math story problems based on cognitive style on curved side space building material [in Bahasa]. MATHEdunesa, 3(2), 144-149.
- Jannah, R. D., & Putri, R. I. I. (2019). Soft tennis and volleyball contexts in Asian Games for PISA-like mathematics problems. Journal on Mathematics Education, 10(1), 157-170. DOI: https://doi.org/10.22342/jme.10.1.5248.157-170.
- Kamaliyah, K., Zulkardi, Z., & Darmawijoyo, D. (2013). Developing the sixth level of PISA-like mathematics problems for secondary school students. Journal on Mathematics Education, 4(1), 9-28. DOI: https://doi.org/10.22342/jme.4.1.559.9-28.
- Krathwohl, D. R. (2002). A revision of Bloom's taxonomy: An overview. Theory Into Practice, 41(4), 212-218.
- Mardhiyanti, D., Ilma, R., & Kesumawati, N. (2011). Developing PISA-like mathematics problems to measure students' mathematical communication ability in elementary school [in Bahasa]. Jurnal Pendidikan Matematika, 5(1). DOI: https://doi.org/10.22342/jpm.5.1.334.
- Murtiyasa, B., Rejeki, S., & Setyaningsih, R. (2018). PISA-like problems using Indonesian contexts. Journal of Physics: Conference Series, 1040(1), 1-9.
- Nizar, H., & Putri, R. I. I. (2018). Developing PISA-like mathematics problem using the 2018 Asian Games football and table tennis context. Journal on Mathematics Education, 9(2), 183-194. https://doi.org/10.22342/jme.9.2.5246.183-194.
- Novita, R. (2012). Exploring primary student's problem-solving ability by doing tasks like PISA's question. Journal on Mathematics Education, 3(2), 133-150. DOI: https://doi.org/10.22342/jme.3.2.571.133-150.
- Novita, R., & Putra, M. (2016). Using task like PISA's problem to support student's creativity in mathematics. Journal on Mathematics Education, 7(1), 31-42. https://doi.org/10.22342/jme.7.1.2815.31-42.
- Nugroho, R. A. (2017). Analysis of students' difficulties in finishing story questions on fraction material in terms of Polya's problem solving [in Bahasa]. Skripsi. Universitas Muhammadiyah.
- OECD. (2018). PISA 2015 : PISA results in focus. Paris: OECD.
- Oktaviana, D. (2017). Error type analysis based on Newman's theory in solving story problems in discrete mathematics courses [in Bahasa]. Edu Sains: Jurnal Pendidikan Sains & Matematika, 5(2), 22-32.
- Oktiningrum, W., Zulkardi, Z., & Hartono, Y. (2016). Developing PISA-like mathematics task with indonesia natural and cultural heritage as context to assess students mathematical literacy. Journal on Mathematics Education, 7(1), 1-8. DOI: https://doi.org/10.22342/jme.7.1.2812.1-8.
- Permatasari, R., & Putri, R. I. I. (2018). PISA-Like: Football context in Asian Games. Journal on Mathematics Education, 9(2), 271-280. https://doi.org/10.22342/jme.9.2.5251.271-280.
- Polya, G. (2004). How to solve it: A new aspect of mathematical method (Vol. 85). Princeton: University Press.
- Pratiwi, I., & Putri, R. I. I. (2019). Long jump in Asian Games: Context of PISA-like mathematics problems. Journal on Mathematics Education, 10(1), 81-92. https://doi.org/10.22342/jme.10.1.5250.81-92.
- Putra, Y. Y., Zulkardi, Z., & Hartono, Y. (2016). PISA model level 4, 5, 6 mathematical problem development using Lampung context [in Bahasa]. Kreano, Jurnal Matematika Kreatif-Inovatif, 7(1), 10-16. https://doi.org/10.15294/kreano.v7i1.4832.
- Putra, Y. Y., Zulkardi, Z., & Hartono, Y. (2016). Development of PISA mathematical problems with number content to determine students' mathematical literacy ability [in Bahasa]. Jurnal Elemen, 2(1), 14-26.
- Ramadhan, M., Sunardi, S., & Kurniati, D. (2017). Analysis of student misconceptions in solving pisa standard mathematical problems using Certainty Of Response Index (CRI) [in Bahasa]. KadikmA, 8(1), 145-153.
- Rindyana, B. S. B., & Chandra, T. D. (2012). Analysis of students' errors in solving math story problems on the two-variable linear equation system material based on Newman's analysis (Case Study in MAN Malang 2 Batu) [in Bahasa]. Artikel Ilmiah Universitas Negeri Malang, 1(2).
- Ristiana, M., Ratu, N., & Yunianta, T. N. H. (2015). Problem solving strategies in solving story problems on equations and linear one variable inequality material for class VII A students at SMP Kristen 02 Salatiga. Satya Widya, 31(1), 8-16.
- Sari, E. F. P. (2015). Developing PISA model mathematical problem to find out the arguments of students in junior high schools [in Bahasa]. Jurnal Pendidikan Matematika, 9(2), 124-147. https://doi.org/10.22342/jpm.9.2.2429.124%20-%20147.
- Sari, Y. M., & Valentino, E. (2017). An analysis of students error in solving PISA 2012 and its scaffolding. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 1(2), 90-98.
- Silva, E. Y., Zulkardi, Z., & Darmawijoyo, D. (2011). PISA model mathematical problem development based on uncertainty content to measure the mathematics problem solving ability of junior high school students [in Bahasa]. Jurnal Pendidikan Matematika, 5(1). https://doi.org/10.22342/jpm.5.1.335.
- Stacey, K. (2011). The PISA view of mathematical literacy in Indonesia. Journal on Mathematics Education, 2(2), 95-126. https://doi.org/10.22342/jme.2.2.746.95-126.
- Tabach, M., & Friedlander, A. (2013). School mathematics and creativity at the elementary and middle-grade levels: how are they related?. ZDM, 45(2), 227-238. https://doi.org/10.1007/s11858-012-0471-5.
- Umar, W. (2016). George Polya's version of mathematical problem solving strategies and their application in mathematics learning [in Bahasa]. Kalamatika: Jurnal Pendidikan Matematika, 1(1), 59-70. https://doi.org/10.22236/KALAMATIKA.vol1no1.2016pp59-70.
- Van Garderen, D., & Montague, M. (2003). Visual‐spatial representation, mathematical problem solving, and students of varying abilities. Learning Disabilities Research & Practice, 18(4), 246-254. https://doi.org/10.1111/1540-5826.00079.
- Wijaya, A., van den 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), 555-584.
- Yani, M. (2019). The effectiveness of distractors on multiple choice tests to detect student errors in solving mathematical problems [in Bahasa]. Al Khawarizmi: Jurnal Pendidikan dan Pembelajaran Matematika, 2(2), 125-138. http://dx.doi.org/10.22373/jppm.v2i2.4502.
References
Anisah, A., Zulkardi, Z., & Darmawijoyo, D. (2011). Developing PISA model mathematical problem on quantity content to measure the mathematical reasoning abilities of junior high school students [in Bahasa]. Jurnal Pendidikan Matematika, 5(1), 1-15. DOI: https://doi.org/10.22342/jpm.5.1.333.
Anwar, S. (2013). The use of Polya's problem solving steps in solving story questions on comparative material in class VI Mial-Ibrohimy Galis Bangkalan [in Bahasa]. MATHEdunesa, 2(3), 1-6.
Bidasari, F. (2017). PISA model mathematics problem development on quantity content to measure junior high school students' mathematical problem-solving ability [in Bahasa]. Jurnal Gantang, 2(1), 63-77. DOI: https://doi.org/10.31629/jg.v2i1.59.
Brookhart, S. M. (2010). How to assess higher-order thinking skills in your classroom. ASCD.
Charmila, N., Zulkardi, Z., & Darmawijoyo, D. (2016). PISA model mathematical problem development using Jambi Context [in Bahasa]. Jurnal Penelitian dan Evaluasi Pendidikan, 20(2), 198-207. DOI: https://doi.org/10.21831/pep.v20i2.7444.
Dasaprawira, M. N. (2019). Developing mathematics questions of PISA type using Bangka context. Journal on Mathematics Education, 10(2), 303-314. DOI: https://doi.org/10.22342/jme.10.2.5366.303-314.
Dewantara, A. H., Zulkardi, Z., & Darmawijoyo, D. (2015). Assessing seventh graders’ mathematical literacy in solving PISA-like tasks. Journal on Mathematics Education, 6(2), 117-128. DOI: https://doi.org/10.22342/jme.6.2.2163.117-128.
Fraenkel, J. R., Wallen, N. E., & Hyun, H. H. (2011). How to design and evaluate research in education. New York: McGraw-Hill Humanities/Social Sciences/Languages.
Farida, N. (2015). Analysis of the errors of grade VIII junior high school students in solving math problem problems [in Bahasa]. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 4(2), 42-52. DOI: http://dx.doi.org/10.24127/ajpm.v4i2.306.
Fatmawati, D. (2016). Development of PISA-like math problems on change and relationship content for junior high school students [in Bahasa]. MATHEdunesa, 5(2), 29-38.
Fauziah, A. (2016). PISA type mathematical problem design on uncertainty content and data to know the argument ability of junior high school students [in Bahasa]. In National Seminar and Workshop on PISA 2016.
Griffin, P., & Care, E. (Eds.). (2014). Assessment and teaching of 21st century skills: Methods and approach. Springer.
Istiqomah, N. (2014). The thinking process of junior high school (SMP) students in solving math story problems based on cognitive style on curved side space building material [in Bahasa]. MATHEdunesa, 3(2), 144-149.
Jannah, R. D., & Putri, R. I. I. (2019). Soft tennis and volleyball contexts in Asian Games for PISA-like mathematics problems. Journal on Mathematics Education, 10(1), 157-170. DOI: https://doi.org/10.22342/jme.10.1.5248.157-170.
Kamaliyah, K., Zulkardi, Z., & Darmawijoyo, D. (2013). Developing the sixth level of PISA-like mathematics problems for secondary school students. Journal on Mathematics Education, 4(1), 9-28. DOI: https://doi.org/10.22342/jme.4.1.559.9-28.
Krathwohl, D. R. (2002). A revision of Bloom's taxonomy: An overview. Theory Into Practice, 41(4), 212-218.
Mardhiyanti, D., Ilma, R., & Kesumawati, N. (2011). Developing PISA-like mathematics problems to measure students' mathematical communication ability in elementary school [in Bahasa]. Jurnal Pendidikan Matematika, 5(1). DOI: https://doi.org/10.22342/jpm.5.1.334.
Murtiyasa, B., Rejeki, S., & Setyaningsih, R. (2018). PISA-like problems using Indonesian contexts. Journal of Physics: Conference Series, 1040(1), 1-9.
Nizar, H., & Putri, R. I. I. (2018). Developing PISA-like mathematics problem using the 2018 Asian Games football and table tennis context. Journal on Mathematics Education, 9(2), 183-194. https://doi.org/10.22342/jme.9.2.5246.183-194.
Novita, R. (2012). Exploring primary student's problem-solving ability by doing tasks like PISA's question. Journal on Mathematics Education, 3(2), 133-150. DOI: https://doi.org/10.22342/jme.3.2.571.133-150.
Novita, R., & Putra, M. (2016). Using task like PISA's problem to support student's creativity in mathematics. Journal on Mathematics Education, 7(1), 31-42. https://doi.org/10.22342/jme.7.1.2815.31-42.
Nugroho, R. A. (2017). Analysis of students' difficulties in finishing story questions on fraction material in terms of Polya's problem solving [in Bahasa]. Skripsi. Universitas Muhammadiyah.
OECD. (2018). PISA 2015 : PISA results in focus. Paris: OECD.
Oktaviana, D. (2017). Error type analysis based on Newman's theory in solving story problems in discrete mathematics courses [in Bahasa]. Edu Sains: Jurnal Pendidikan Sains & Matematika, 5(2), 22-32.
Oktiningrum, W., Zulkardi, Z., & Hartono, Y. (2016). Developing PISA-like mathematics task with indonesia natural and cultural heritage as context to assess students mathematical literacy. Journal on Mathematics Education, 7(1), 1-8. DOI: https://doi.org/10.22342/jme.7.1.2812.1-8.
Permatasari, R., & Putri, R. I. I. (2018). PISA-Like: Football context in Asian Games. Journal on Mathematics Education, 9(2), 271-280. https://doi.org/10.22342/jme.9.2.5251.271-280.
Polya, G. (2004). How to solve it: A new aspect of mathematical method (Vol. 85). Princeton: University Press.
Pratiwi, I., & Putri, R. I. I. (2019). Long jump in Asian Games: Context of PISA-like mathematics problems. Journal on Mathematics Education, 10(1), 81-92. https://doi.org/10.22342/jme.10.1.5250.81-92.
Putra, Y. Y., Zulkardi, Z., & Hartono, Y. (2016). PISA model level 4, 5, 6 mathematical problem development using Lampung context [in Bahasa]. Kreano, Jurnal Matematika Kreatif-Inovatif, 7(1), 10-16. https://doi.org/10.15294/kreano.v7i1.4832.
Putra, Y. Y., Zulkardi, Z., & Hartono, Y. (2016). Development of PISA mathematical problems with number content to determine students' mathematical literacy ability [in Bahasa]. Jurnal Elemen, 2(1), 14-26.
Ramadhan, M., Sunardi, S., & Kurniati, D. (2017). Analysis of student misconceptions in solving pisa standard mathematical problems using Certainty Of Response Index (CRI) [in Bahasa]. KadikmA, 8(1), 145-153.
Rindyana, B. S. B., & Chandra, T. D. (2012). Analysis of students' errors in solving math story problems on the two-variable linear equation system material based on Newman's analysis (Case Study in MAN Malang 2 Batu) [in Bahasa]. Artikel Ilmiah Universitas Negeri Malang, 1(2).
Ristiana, M., Ratu, N., & Yunianta, T. N. H. (2015). Problem solving strategies in solving story problems on equations and linear one variable inequality material for class VII A students at SMP Kristen 02 Salatiga. Satya Widya, 31(1), 8-16.
Sari, E. F. P. (2015). Developing PISA model mathematical problem to find out the arguments of students in junior high schools [in Bahasa]. Jurnal Pendidikan Matematika, 9(2), 124-147. https://doi.org/10.22342/jpm.9.2.2429.124%20-%20147.
Sari, Y. M., & Valentino, E. (2017). An analysis of students error in solving PISA 2012 and its scaffolding. JRAMathEdu (Journal of Research and Advances in Mathematics Education), 1(2), 90-98.
Silva, E. Y., Zulkardi, Z., & Darmawijoyo, D. (2011). PISA model mathematical problem development based on uncertainty content to measure the mathematics problem solving ability of junior high school students [in Bahasa]. Jurnal Pendidikan Matematika, 5(1). https://doi.org/10.22342/jpm.5.1.335.
Stacey, K. (2011). The PISA view of mathematical literacy in Indonesia. Journal on Mathematics Education, 2(2), 95-126. https://doi.org/10.22342/jme.2.2.746.95-126.
Tabach, M., & Friedlander, A. (2013). School mathematics and creativity at the elementary and middle-grade levels: how are they related?. ZDM, 45(2), 227-238. https://doi.org/10.1007/s11858-012-0471-5.
Umar, W. (2016). George Polya's version of mathematical problem solving strategies and their application in mathematics learning [in Bahasa]. Kalamatika: Jurnal Pendidikan Matematika, 1(1), 59-70. https://doi.org/10.22236/KALAMATIKA.vol1no1.2016pp59-70.
Van Garderen, D., & Montague, M. (2003). Visual‐spatial representation, mathematical problem solving, and students of varying abilities. Learning Disabilities Research & Practice, 18(4), 246-254. https://doi.org/10.1111/1540-5826.00079.
Wijaya, A., van den 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), 555-584.
Yani, M. (2019). The effectiveness of distractors on multiple choice tests to detect student errors in solving mathematical problems [in Bahasa]. Al Khawarizmi: Jurnal Pendidikan dan Pembelajaran Matematika, 2(2), 125-138. http://dx.doi.org/10.22373/jppm.v2i2.4502.