A study of Mathematical Critical Thinking Abilities on Linear Equation System in Two Variables of Grade 9 Students with Learning Activities Using Mathematical Modelling
Main Article Content
Abstract
The objectives of this research were to study 1) the approach to use mathematical modelling to develop mathematical critical thinking abilities and 2) mathematical critical thinking abilities on Linear Equation System in Two Variables of grade 9 students with Learning activities using mathematical modelling between before learning and after learning. The sample consisted of 39 grade 9 students in the second semester of the academic year 2021, obtained by a cluster sampling. The research instruments included lesson plans, worksheets and mathematical critical thinking abilities tests. Data were analyzed using frequency, percentage, mean, standard deviation, dependent sample t-test, and content analysis.
The results showed that 1) the learning activity using mathematical modelling that develops mathematical critical thinking abilities should be implemented under an emphasis on teachers’ use of problematic situations that are complicated and connected to the real life of students with a variety of contexts. Students should be prepared for content knowledge that is necessary to solve the problem. The teacher should encourage students to think and learn according to the steps of the mathematical modelling process by using questions. Allowing students to participate in discussion and share their ideas. enabled the students to efficiently solve problems and make decisions in complex problem situations by utilizing their mathematical critical thinking abilities. And 2) the posttest of mathematical critical thinking ability of the students was higher than the pretest at the .05 level of significance.
Article Details

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
Amalia, Q., Hartono, Y., & Indaryanti, I. (2019). Students’ critical thinking skills in modeling based learning. Journal of Physics Conference Series, 1166, 1-6.
Amornchewin, B. (2013). Critical Thinking: Principles for the development of logical thinking and judgment. Bangkok: Prints.
Chatcoop, S., & Chuchart, U. (2001). Critical thinking. Bangkok: Thai Watana Panich.
Cheausuwantavee, C. (2012). The development of mathematics instructional model to enhance higher order thinking and habits of mind of secondary school students [Doctoral Dissertation, Silpakorn University].
Eric, C. (2009). Mathematical modelling as problem solving for children in the Singapore mathematics classrooms. Journal of Science and Mathematics Education in Southeast Asia, 32(1), 36-61.
Ketthong, T. (2008). Effects of organizing learning activities by using mathematical modeling process on problem solving ability and reasoning in mathematics of ninth grade students in schools under the office of the basic education commission in Lopburi [Master’s Thesis, Chulalongkorn University].
Kwangsawad, T. (2018). Teaching Critical Thinking. Ratchaphruek Journal, 16(3), 1-9.
Makanong, A. (2011). Mathematical process skills: Developing for development (2nd ed.). Bangkok: Faculty of Education, Chulalongkorn University.
Makmeesub, D. (2010). A study of critical thinking effects and learning achievement with blended learning by problem solving process in selection and utilization of instructional media subject of undergraduate students [Master’s Thesis, Silpakorn University].
Marasri, S. (2019). Developing Critical Thinking Skills in the 21st Century. Journal of MCU Nan Review, 3(2), 106-122.
Nenthien, S. (2017). Mathematics learning with Real-World problems based on mathematical modeling. Journal of Education Studies, 45(2), 238-253.
Office of the Basic Education Commission (OBEC), (2017). Indicators and learning standards of mathematics learning area (revised in B.E. 2560) in accordance with the basic education core curriculum B.E. 2551. Bangkok: Press of the agricultural co-operative federation of Thailand.
Santos, M., Belecina, R., & Diaz, R. (2015). Mathematical Modeling: Effects on Problem Solving Performance and Math Anxiety of Students. International Letters of Social and Humanistic Sciences, 65, 103-115.
Schafersman, S. (1991). An Introduction to Critical Thinking. Retrieved April 15, 2021, from https://facultycenter.ischool.syr.edu/wp-content/uploads/2012/02/Critical-Thinking.pdf
Tunta, N. (2020). Action Research for The Development of Learning Implementation Using Mathematical Models to Enhance Mathematical Problem Solving Skills on The Topic of Function for Grade 11 Students [Master’s Thesis, Naresuan University].
Upper Secondary Education Bureau. (2017). 21st Century Skills. Retrieved April 15, 2021, from https://webs.rmutl.ac.th/assets/upload/files/2016/09/20160908101755_51855.pdf
Wangsila, P., Supap, W., & Klineam, C. (2018). The study of using mathematical modelling to enhance mathematical creative thinking in geometric analysis topic for 10th grade students. Journal of Education Naresuan University, 22(3), 150-163.