AN EXPERIMENTAL STUDY ON MATHEMATICS STUDENTS' ERRORS IN DEFINITE INTEGRAL'S APPLICATION OF FUNCTIONS OF A REAL VARIABLE
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Abstract
In this paper, we present the results of an experiment on math students' mistakes in solving types of tasks involving the application of the definite integral of a real variable function. The types of tasks that are of interest in experimentation are concerned with calculating the area of a finite plane shape considered in Cartesian and polar coordinates. The mistakes that students face come from the constraints of the Mathematical institutions of the University of Science and the Saigon University. The results can be beneficial for pedagogical trainers in a way that they can visualize the obstacles that students face when approaching the instrumental role of the definite integral of a real variable function.
Keywords
action rule, area of a plane shape, definite integral, error, obstacle
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References
Brousseau, G. (1983). Les obstacles épistémologiques et les problèmes en mathématiques. Recherches en didactique des mathématiques, 4(2), 165-198.
Dang, D. T., Dinh, N. T., Nguyen, C. T., & Nguyen, D. P. (2012). Giai tich – Ham mot bien [Analyse – Function of one variable]. Publishing House of Vietnam National University Ho Chi Minh City.
Le, T. H. C. (2017). Su can thiet cua phan tich tri thuc luan doi voi cac nghien cuu ve hoat dong day hoc va dao tao giao vien [The necessity of epistemological analysis for the studies of teaching activities and teacher training]. 6th International Seminar on Mathematics Didactic]. Ho Chi Minh City University of Education.
Ministry of Education and Training (2009). Chuong trinh giao duc pho thong – Cap trung hoc pho thong [General education Curriculum – High school level]. Vietnam Education Publishing House.
Pham, H. Q., Dang, D. T., Dinh, N. T., & Le, M. T. (2020). Giai tich toan hoc I – Phan 2 [Analysis I – Part 2]. Publishing House of Vietnam National University Ho Chi Minh City.
University of Sciences (2016). Chuong trinh dao tao nganh Toan hoc [Mathematics training Curriculum].
Saigon University (2016). Chuong trinh dao tao trinh do dai hoc nganh su pham Toan [Curriculum at the university level of Mathematics Pedagogy].