Common Difficulties of Eighth Grade Students When Solving Non-Routine Mathematics Problems
), Desyarti Safarini TLS(2)
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Country:
(1) Sampoerna University, Indonesia
(2) Sampoerna University, Indonesia
Corresponding Author
10.23960/jpmipa/v23i1.pp67-77
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Copyright (c) 2022 Ratnasari Ratnasari, Desyarti Safarini TLS
The study's objective is to investigate common difficulties experienced by 8th-grade students when solving non-routine mathematics problems. This study used a qualitative descriptive method, and the research participants were eighth-graders students at one of the private middle schools in Jakarta. The researchers used a convenience sample to obtain a group of six students available for an in-depth interview session and willing to solve two non-routine problems related to algebra topic. The study showed that the participants experienced difficulties when solving non-routine mathematics problems. They could not read the problem comprehensively; they had trouble converting the word problems into mathematical sentences. They also had difficulty in carrying out their plans. In other words, students did not have the strategy to solve the problem. They had errors in the calculation and had incorrect formulations when solving the given problems. It is suggested that the teacher provide students with guiding instructions to assist students in going through the problem-solving phases step by step. The teacher can also highlight the non-routine problem's keywords and give a representation that helps students understand the problem.
Keywords: learning difficulties, middle school students, mathematics problems
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Baraké, F., El-Rouadi, N., & Musharrafieh, J. (2015). Problem Solving at the Middle School Level: A Comparison of Different Strategies. Journal of Education and Learning, 4(3), 62–70.
Cai, J., & Lester, F. (2020). Why is Teaching with Problem Solving Important to Student Learning? Nctm, 13(12), 1-6. Retrieved from https://www.nctm.org/uploadedFiles/Research_and_Advocacy/research_brief_and_clips/ Research_brief_14_-_Problem_Solving.pdf
Cohen, L., Manion, L., & Morrison, K. (2018). Research Methods in Education (8th ed.). New York: Routledge.
Creswell, J. W. (2012). Educational Research: Planning, Conducting, and Evaluating Quantitative and Qualitative Research (4th ed.). New York: Pearson College Division.
Kaur, B. (2008). Kaur (2008).pdf. Singapore.
Kaur, B. (1997). Difficulties with problem solving in mathematics. 2(1), 11.
Kurniati, D., & Annizar, A. M. (2017). The analysis of students’ cognitive problem solving skill in solving PISA standard-based test item. Advanced Science Letters, 23(2), 776–780.
Lambert, V. A., & Lambert, C. E. (2012). Editorial: Qualitative Descriptive Research: An Acceptable Design.: EBSCOhost. Pacific Rim International Journal of Nursing Research, (4), 255–256. Retrieved from http://web.b.ebscohost.com/ehost/pdfviewer/pdfviewer?vid=1&sid=5f9e3290- c434-45a6-a69c-d9fa69ec3cce%40pdc-v-sessmgr02
Lubis, J. N., Panjaitan, A., Surya, E., & Syahputra, E. (2017). Analysis Mathematical Problem Solving Skills of Student of the Grade VIII-2 Junior High School Bilah Hulu Labuhan Batu. International Journal of Novel Research in Education and Learning, 4(2), 131-137.
Martin, W. G. (2000). Principles and Standards for School Mathematics. National Council of Teachers of Mathematics.
NCTM (n.d) https://www.nctm.org/Classroom Resources/Illuminations/Lessons/Classic -Middle-Grades-Problems-for-the-Classroom/
Novriani, M. R., & Surya, E.. (2017). Analysis of Student Difficulties in Mathematics Problem Solving Ability at MTS SWASTA IRA Medan. International Journal of Sciences: Basic and Applied Research (IJSBAR), 33(3), 63-75.
Nurkaeti, N. (2018). Polya’S Strategy: an Analysis of Mathematical Problem Solving Difficulty in 5Th Grade Elementary School. EduHumaniora | Jurnal Pendidikan Dasar Kampus Cibiru, 10(2), 140.
OECD. (2016). Country note – results from PISA 2015: Indonesia. Oecd, 1–8. Retrieved from https://www.oecd.org/pisa/PISA-2015-Indonesia.pdf
Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An analysis of elementary school students’ difficulties in mathematical problem solving. Procedia - Social and Abdullah, A. H., Ibrahim, N. H., Surif, J., Ali, M., & Hamzah, M. H. (2014). Non-routine
mathematical problems among in-service and pre-service mathematics teachers. 2014 IEEE International Conference on Teaching, Assessment and Learning for Engineering (TALE).
Baraké, F., El-Rouadi, N., & Musharrafieh, J. (2015). Problem Solving at the Middle School Level: A Comparison of Different Strategies. Journal of Education and Learning, 4(3), 62–70.
Cai, J., & Lester, F. (2020). Why is Teaching with Problem Solving Important to Student Learning? Nctm, 13(12), 1-6. Retrieved from https://www.nctm.org/uploadedFiles/Research_and_Advocacy/research_brief_and_clips/ Research_brief_14_-_Problem_Solving.pdf
Cohen, L., Manion, L., & Morrison, K. (2018). Research Methods in Education (8th ed.).
New York: Routledge.
Creswell, J. W. (2012). Educational Research: Planning, Conducting, and Evaluating Quantitative and Qualitative Research (4th ed.). New York: Pearson College Division.
Kaur, B. (2008). Kaur (2008).pdf. Singapore.
Kaur, B. (1997). Difficulties with problem solving in mathematics. 2(1), 11.
Kurniati, D., & Annizar, A. M. (2017). The analysis of students’ cognitive problem solving skill in solving PISA standard-based test item. Advanced Science Letters, 23(2), 776–780.
Lambert, V. A., & Lambert, C. E. (2012). Editorial: Qualitative Descriptive Research: An
Acceptable Design.: EBSCOhost. Pacific Rim International Journal of Nursing Research, (4), 255–256. Retrieved from
http://web.b.ebscohost.com/ehost/pdfviewer/pdfviewer?vid=1&sid=5f9e3290- c434-45a6-a69c-d9fa69ec3cce%40pdc-v-sessmgr02
Lubis, J. N., Panjaitan, A., Surya, E., & Syahputra, E. (2017). Analysis Mathematical Problem Solving Skills of Student of the Grade VIII-2 Junior High School Bilah Hulu Labuhan Batu. International Journal of Novel Research in Education and Learning, 4(2), 131-137.
Martin, W. G. (2000). Principles and Standards for School Mathematics. National Council of Teachers of Mathematics.
NCTM (n.d) https://www.nctm.org/Classroom-Resources/Illuminations/Lessons/Classic -Middle-Grades-Problems-for-the-Classroom/
Novriani, M. R., & Surya, E.. (2017). Analysis of Student Difficulties in Mathematics Problem Solving Ability at MTS SWASTA IRA Medan. International Journal of Sciences: Basic and Applied Research (IJSBAR), 33(3), 63-75.
Nurkaeti, N. (2018). Polya’S Strategy: an Analysis of Mathematical Problem Solving Difficulty in 5Th Grade Elementary School. EduHumaniora | Jurnal Pendidikan Dasar Kampus Cibiru, 10(2), 140.
OECD. (2016). Country note – results from PISA 2015: Indonesia. Oecd, 1–8. Retrieved from https://www.oecd.org/pisa/PISA-2015-Indonesia.pdf
Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An analysis of elementary school students’ difficulties in mathematical problem solving. Procedia - Social and
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