Mathematical Connection of Prospective Mathematics Teachers in Constructing Graph-Based Real-life Problem


Mathematical connection ability is one of the important abilities that students should have. Connecting real-world problems to mathematical concepts can make learning mathematics more meaningful for students. In everyday life, there is a lot of information presented in graphs. Graphing competence consists of graph interpretation and graph construction. Even though graph construction is a crucial yet neglected skill. From the previous explanation, the purpose of this study is to describe the ability of students to construct a graph based on a real-life problem. This descriptive qualitative study is collected from 37 prospective mathematics teachers in a university. All students had to answer one question about constructing a graph based on a real-life situation given. The result of this study, students’ mathematical connection between everyday life and mathematics itself was still low. Using indicators in this study: 10.81% of the students could not represent the real-life situation in the graph that they constructed; 75.68% of the students made graphs but many features of the graphs did not represent the situation well; and 13.51% of the students made more representing graph but some features of the graph did not relevant. Therefore, in mathematics learning the teacher should give more experience to the students to explore everyday life situations using mathematics and encourage students to write their thoughts down so that mathematics becomes meaningful for students.

Keywords: constructing graph-based real-life problem, mathematical connection, prospective mathematics teachers

[1] S. Eynde, M. Goedhart, J. Deprez, and C. M, “Role of graphs in blending physical and mathematical meaning of partial derivatives in the context of the heat equation.,”. Int J Sci Math Educ. 2023;21(1):25–47.

[2] N.C.T.M. Principles and standards for school mathematics. Virginia: The National Council of Teachers of Mathematics, Inc; 2006.

[3] Walle JA, Karp KS, Bay-Williams JM. Elementary and Middle School Mathematics: Teaching Developmentally. Pearson; 2014.

[4] Haciomeroglu ES, Aspinwall L, Presmeg NC. “Contrasting cases of calculus students’ understanding of derivative graphs,” Mathematical Thinking and Learning. vol. 12, no. 2, p.2010.

[5] García-García J, Dolores-Flores C. “Pre-university students’ mathematical connections when sketching the graph of derivative and antiderivative functions,” Mathematics Education Research Journal. vol.33, no. 33, pp.1-22, 2021.

[6] M.K. Altay, B. Yalvaç, and E. Yeltekin, “8th grade student’s skill of connecting mathematics to real life,.” Journal of Education and Training Studies. vol. 5, no. 10, p. 2017.

[7] Benson-O’Connor CD, McDaniel C, Carr J. “Bringing math to life: Provide students opportunities to connect their lives to math.,” Networks: An Online Journal for Teacher Research. vol. 21, no. 2, p. 2019.

[8] Kenedi AK, Hendri S, Ladiva HB. “Kemampuan koneksi matematis siswa sekolah dasar dalam memecahkan masalah matematika.,” Journal on Mathematics Education. vol. 5, no. 2, pp. 226–35.2018.

[9] Glazer N. Challenges with graph interpretation: A review of the literature. Stud Sci Educ. 2011;47(2):183–210.

[10] Leinhardt G, Stein MK, Zaslavsky O. Functions, graphs, and graphing: Tasks, learning, and teaching. Rev Educ Res. 1990;60(1):1–64.

[11] K. Lai, J. Cabrera, J.M. Vitale, J. Madhok, R. Tinker, and M.C. Linn, “Measuring graph comprehension, critique, and construction in science.,” Journal of Science Education and Technology. vol.25, p. 2016.

[12] Nixon RS, Godfrey TJ, Mayhew NT, Wiegert C. Undergraduate student construction and interpretation of graphs in physics lab activities. Phys Rev Phys Educ Res. 2016;12(1):010104.

[13] Stewart J, Redlin L, Watson S. Precalculus mathematics for calculus. Boston: Cengage Learning; 2015.

[14] Roslina NA, Zulfajri AG. The student ability in graph understanding for mastering natural science concepts through the process skills approach. Int J Instr. 2020;13(4):145–60.

[15] Roth WM, Bowen GM. When are graphs worth ten thousand words? an expert-expert study. Cogn Instr. 2003;21(4):429–73.

[16] Planinic M, Milin-Sipus Z, Katic H, Susac A, Ivanjek L. Comparison of student understanding of line graph slope in physics and mathematics. Int J Sci Math Educ. 2012;10(6):1393–414.