TY - JOUR ID - 7503 TI - Analysis of Students' Mistakes in Solving Integrals to Minimize their Mistakes JO - Control and Optimization in Applied Mathematics JA - COAM LA - en SN - 2383-3130 AU - Darvisahzadeh, Mohammad AU - Shahvarani Semnani, Ahmad AU - Alamolhodaei,, Hassan AU - Behzadi, Hassan AD - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran. AD - Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashahad, Iran AD - , Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran Y1 - 2019 PY - 2019 VL - 4 IS - 2 SP - 49 EP - 60 KW - Calculus‎ KW - ‎Integral‎ KW - ‎Student understanding‎ KW - ‎Understanding mathematical education‎ KW - ‎Initial function concept‎ KW - ‎Riemann concept‎ KW - ‎Teaching‎ KW - ‎Challenge DO - 10.30473/coam.2020.55039.1148 N2 - Experiences of teaching Integral have indicated that the vast majorities of Iranian university students commit numerous errors while solving integral problems and have weak skills in this field; we might even say that they hide away from integral and consider it the nightmare of mathematics‎. ‎On the other hand, Integral is the base of pure and applied mathematics for all students of science‎, ‎especially engineering‎, ‎which some of their lessons are dependent on it directly or indirectly‎, ‎so it is important to pay attention to it‎. ‎Through descriptive method-exposed factor, ‎an exam has been conducted in the form of three questions‎, ‎the first of which is consisted of 4 sections on fifty students from different fields, and then interviews were conducted with a few of those students about their answers in order to study the students' behaviors when solving integral problems and to determine the type of their errors‎. ‎By analyzing the performance of students in this test‎, ‎we can see that students often struggle with integral and mostly have a feeble performance in solving trigonometric integrals‎. ‎They want to learn computational integral instead of how to conceptualize integral in their minds correctly‎. ‎The error most committed by university students was procedural errors‎, ‎which arise from using derivative instead of integral‎. ‎Besides most of the mistakes happen in solving definite integrals‎, ‎and calculating finite areas between two curves‎. ‎This is due to a lack of understanding of integrals and a lack of information in other areas of mathematics. UR - https://mathco.journals.pnu.ac.ir/article_7503.html L1 - https://mathco.journals.pnu.ac.ir/article_7503_0f66f2c528a688404d62d8b82f3b6eed.pdf ER -