Students’ Learning Trajectory in Solving Fraction Problems: Cases of Boy and Girl Students in Junior High School
Abstract
This study aims to describe the learning trajectories of male and female students in solving fraction problems. The research subjects consisted of a male student and a female student who had the same mathematical ability. Learning trajectory data for both subjects were taken through fractional problem solving tests and in-depth interviews. Observations focused on the four stages of problem solving strategies, namely understand the problem, divide a plan, carry out the plan, and look back. Data analysis begins with examining all data, reducing data, grouping data, categorizing, coding, and finally checking data through time triangulation. The results of the study show that in understanding the problem, boys identify goals and information to solve the problem to state its completeness, and girls identify information to solve the problem to state its completeness. In making plans, girls complete in detail and involve many concepts, while boys only have one concept, so girls' learning trajectories are longer. While carrying out the plan, the two solve problems according to the plan. Looking back, girls used more than one method alternative while boys only used one alternative.
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References
Caputi, V., & Garrido, A. (2015). Student-oriented planning of e-learning contents for Moodle. Journal of Network and Computer Applications, 53, 115-127.
Ijirana, I., & Supriadi, S. (2018). Metacognitive skill profiles of chemistry education students in solving problem at low ability level. Jurnal Pendidikan IPA Indonesia, 7(2), 239-245
Rofiki, I. (2018). Investigating students’ learning trajectory: a case on triangle. Journal of Physics: Conference Series, 1088(1), 012021. IOP Publishing.
Wijaya, A., & Doorman, M. (2021). A learning trajectory for probability: a case of game-based learning. Journal on Mathematics Education, 12(1), 1-16.
Clements, D. H., & Sarama, J. (2020). Learning and teaching early math: The learning trajectories approach. Routledge.
Emphson, S.B. (2011). On idea learning trajectories promises and piftfalss. The Mathematics Enthuasis, 8, 571-596.
Clements, D. H. dan Sarama, J. (2004). Learning trajectories in mathematics education. Mathematical Thinking and Learning, 6(2), 81-89.
Rizal, M., Lukito, A., & Siswono, T. Y. E. (2013). Proses berpikir siswa SD dalam melakukan estimasi masalah berhitung berdasarkan jenis kelamin. Jurnal Ilmu Pendidikan, 18(1).
Helwig, R., Anderson, L., & Tindal, G. (2001). Influence of elementary student gender on teachers' perceptions of mathematics achievement. The Journal of Educational Research, 95(2), 93-102.
Chen, C. Y. (2014). A hypothetical learning trajectory of arguing statements about geometric figures.
Chen, C. Y. (2016). A hypothetical learning trajectory of arguing statemants about geometric figures.
Misquitta, R. (2011). A review of the literature: Fraction instruction for struggling learners in mathematics. Learning Disabilities Research & Practice, 26(2), 109-119.
Fennell, F., & Karp, K. (2017). Fraction sense: Foundational understandings. Journal of learning disabilities, 50(6), 648-650.
Namkung, J., & Fuchs, L. (2019). Remediating difficulty with fractions for students with mathematics learning difficulties. Learning Disabilities: A Multidisciplinary Journal, 24(2), 36-48.
Singh, P., Hoon, T. S., Nasir, N. A. M., Han, C. T., Rasid, S. M., & Hoong, J. B. Z. (2021). Obstacles faced by students in making sense of fractions. The European Journal of Social & Behavioural Sciences.
Ganley, C., & Lubienski, S. (2016). Current research on gender differences in math. Teaching Children Mathematics.
Carpenter, T. P., & Moser, J. M. (2020). The development of addition and subtraction problem-solving skills. Addition and subtraction, 9-24. Routledge.
Rizal, M., & Lefrida, R. (2018). Profile of calculus problem solving of mathematics education students. First Indonesian Communication Forum of Teacher Training and Education Faculty Leaders International Conference on Education 2017 (ICE 2017), 247-251. Atlantis Press.
Moleong, L. J. (2018). Metode penelitian kualitatif. Remaja Rosdakarya.
Palandu, A., & Rizal, M. (2022). Profil number sense siswa SMP dalam memecahkan masalah matematika berdasarkan jenis kelamin. Jurnal Elektronik Pendidikan Matematika Tadulako, 9(3), 295-308.
Hardy, M. R., Hudiono, B., & Rajiin, M. (2015). Pengaruh gender dan strategi pembelajaran terhadap kemampuan pemecahan masalah matematis siswa. Jurnal Pendidikan dan Pembelajaran Khatulistiwa, 4(9).
Firmasari, S., Sulaiman, H., Hartono, W., & Noto, M. S. (2019). Rigorous mathematical thinking based on gender in the real analysis course. Journal of Physics: Conference Series, 1157(4), 042106. IOP Publishing.
Kessel, C., & Linn, M. C. (1996). Grades or scores: Predicting future college mathematics peformance. Educational Measurement: Issues and Practice, 15(4), 10-14.
Gallagher, A. M., De Lisi, R., Holst, P. C., McGillicuddy-De Lisi, A. V., Morely, M., & Cahalan, C. (2000). Gender differences in advanced mathematical problem solving. Journal of experimental child psychology, 75(3), 165-190.
Krutetskii, V. A. (1976). The psychology of mathematics abilities in school children. The University of Chicago Press.
Wulansari, A., & Rosyidi, A. H. (2013). Profil pengetahuan konseptual siswa SMP di jenjang proses kognitif menganalisis pada materi segi empat berdasarkan jenis kelamin. Kreano, Jurnal Matematika Kreatif-Inovatif, 4(2), 174-181.
Adi, A. W., Triyanto, T., & Pramesti, G. (2017). Penerapan model pembelajaran student teams achievment division dengan pendekatan open ended untuk meningkatkan tingkat berpikir kreatif dan hasil belajar siswa. Jurnal Pendidikan Matematika dan Matematika SOLUSI, 1(4), 61-80.
Musdalifah A, Nurdin A, Alimuddin. (2015). Profil kemampuan spasial dalam menyelesaikan masalah geometri siswa yang memiliki kecerdasan logis matematis tinggi ditinjau dari perbedaan gender (studi kasus di kelas XI SMAN 17 Makassar). Jurnal Daya Matematis, 3(1).
Subrahmanyam, K., & Greenfield, P. M. (1994). Effect of video game practice on spatial skills in girls and boys. Journal of applied developmental psychology, 15(1), 13-32.
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