The Analysis of Mathematical Problem-solving Ability of Elementary School Teacher Candidate: Fraction Case

Abstract

It is important for school students as well as elementary school teacher candidates to master mathematical problem-solving abilities. This study aims to analyze the mathematical problem-solving ability of elementary school teacher candidates on the concept of fractions based on Polya’s steps. This research uses a descriptive qualitative approach. The research participants were 12 students of elementary school teacher education program whose problem-solving abilities were assessed based on the topic of fractions for 60 minutes. The results of this study indicated that students were able to understand information related to the questions; (1) determine what had already been known and what was being asked completely. In addition, students were also able to understand the relationship between the information provided. It can therefore be said that students were able to understand the problem. (2) Most students were less able to develop a correct problem-solving plan. (3) Most students completed solutions based on incorrect strategies. (4) Students rarely re-checked the problem-solving. Based on the results of the interviews, they rarely solved the problem-solving questions. Thus, it can be concluded that the level of their mathematical problem-solving ability was still low.


Keywords: elementary school teacher candidate, fraction case, mathematical problem solving ability

References
[1] Rotherham AJ, Willingham DT. 21st Century skills: the challenges ahead. Educ Leadersh. 2009;67:16–21.

[2] Nahdi DS. Keterampilan matematika di abad 21. Jurnal Cakrawala Pendas. 2019;5(2):133–40.

[3] Allen CE, Froustet ME, LeBlanc JF, Payne JN, Priest A, Reed JF, et al. National council of teachers of mathematics. Arith Teach. 2020;29(5):59.

[4] Sulistiowati DL, Herman T, Jupri A. “Student difficulties in solving geometry problem based on Van Hiele thinking level.” Journal of Physics: Conference Series. vol. 1157, no. 4, p. 2019. https://doi.org/10.1088/1742-6596/1157/4/042118.

[5] Polya G. How to solve it: a new aspect of mathematical method. 2nd ed. 1978.

[6] Winarso W. “Membangun kemampuan berfikir matematika tingkat tinggi melalui pendekatan induktif, deduktif dan induktif-deduktif dalam pembelajaran matematika.,” Eduma : Mathematics Education Learning and Teaching. vol. 3, no. 2, p. 2014. https://doi.org/10.24235/eduma.v3i2.58.

[7] Kelly CA. Using manipulatives in mathematical problem solving: a performancebased analysis. Mont Math Enthus. 2006;3(2):184–93.

[8] Yavuz G, Erbay HN. “The analysis of pre-service teachers’ beliefs about mathematical problem solving,” Procedia - Social and Behavioral Sciences. vol. 174, no. February 2016, pp. 2687–2692, 2015. https://doi.org/10.1016/j.sbspro.2015.01.953.

[9] Netriwati N. Analisis kemampuan mahasiswa dalam pemecahkan masalah matematis menurut teori Polya. Al-Jabar : Jurnal Pendidikan Matematika. 2016;7(2):181–90.

[10] Sezgin memnun D, ÇOBAN M. “Mathematical problem solving: variables that affect problem solving success.” Int Rev Educ. 2015;3(2):110.

[11] Nagasaki E. “Mathematical literacy for living in the highly information-andtechnology- oriented in the 21st century: mathematics education from the perspective of human life in society.” In: Selected Regular Lectures from the 12th International Congress on Mathematical Education. pp. 607–628. Springer International Publishing, Cham (2015). https://doi.org/10.1007/978-3-319-17187-6_34.

[12] Lee SJ, Brown RE, Orrill CH. Mathematics teachers’ reasoning about fractions and decimals using drawn representations. Math Think Learn. 2011;13(3):198–220.

[13] Chick HL, Vincent JL. “Proceedings of the 29th conference of the international group for the psychology of mathematics education.” 29th conference of the international group for the psychology of mathematics education PME 29. p. 344, 2005.

[14] Anwar S, Amin SM. “Penggunaan langkah pemecahan masalah polya dalam menyelesaikan soal cerita materi perbandingan di kelas vi mi al-ibrohimy galis Bangkalan.,” Jurnal Pendidikan Matematika e-Pensa. vol. 1, no. 1, pp. 1–6, 2013.

[15] Jua SK, Sarwanto, Sukarmin. “The profile of students’ problem-solving skill in physics across interest program in the secondary school.” Journal of Physics: Conference Series. vol. 1022, no. 1, p. 2018.