Some students have difficulty solving math problems in the integral calculus course, one of the materials for the volume of rotating objects. The purpose of this research is to describe the types of errors made by students of class F Mathematics Education FKIP Ahmad Dahlan University and their causes in solving the volume of rotating objects in integral calculus courses in the Polya stage. This research is a quantitative quantitative research. The research subjects are one class with a total of 20 students. For interviews, 3 students were taken with the criteria of high, medium and low abilities. Collecting research data using test material, the volume of rotating objects and student interviews about the factors that cause mistakes made. The steps for solving the problem consist of four stages, namely: understanding the problem, planning for completion, implementing the plan, and examining the solutions obtained. From the results of the research on student errors based on Polya's stages: 1) understanding the problem 55.89%, planning for completion of 50.00%, errors in implementing planning 32.36%, and errors in re-checking the process and results 44.12%; 2) the causes of students making mistakes in solving integral calculus questions on the volume of rotating objects, namely students lacking mastery in drawing function graphs, students lacking in basic concepts and volume formulas for rotating objects, and students unable to analyze the questions given.
This research is motivated by the difficulty of students understanding the concept of integration techniques through bold learning, so that a concept understanding-based learning video is needed for flat area material. This study aims to develop learning videos and determine the validity and practicality of the videos produced. This type of research is in the form of ADDIE model development research (Analysis, Design, Development, Implementation, Evaluation). The research subjects were class B students, batch 2020, the Ahmad Dahlan University Mathematics Education study program. The results of the assessment from material experts obtained an average score of 4.77 with very good criteria, from material experts obtained an average score of 4.55 with very good criteria, and from student responses a score of 3.50 was obtained with good criteria so that it can be concluded that the video Integral calculus learning is valid and practical to use. Keywords: integral calculus, learning videos, trigonometric functions
This Research aims to increase the motivation of students in differential calculus learning using the Learning Community model in the class B Mathematics Education Program of Ahmad Dahlan University academic year 2018/2019, totaling 28 students. This type of research is a class action study consisting of planning, action, observation, and reflection phases. The instrument used in this study is an observation sheet. The results showed that the student's learning motivation increased as demonstrated by the increased motivation of learning students from Cycle 1 which was 76.5 percent in the high category, while in Cycle 2 increased to 81.5 percent in the class very High. It can be concluded that using learning Model Learning Community can improve the cultivation of teaching differential calculus of class B students UAD mathematics education.
During the current Covid-19 pandemic, the learning system in all educational institution is shifted from face to face to online learning, including universities. This study aims to describe the results of the mathematical communication skills of class B students of Mathematics Education from Ahmad Dahlan University for the 2019/2020 academic year during online learning during the Covid-19 pandemic and to examine students' mistakes in solving differential calculus problems regarding the minimum, maximum material. This study employed descriptive qualitative research. The research instrument used is a test and interview guide. The data are collected using tests and interviews. The research subjects were selected by stratified random sampling technique so that 6 students are classified into high, medium and low categories. The questions are in the form of a description of one question with six questions. The results showed that students' mathematical communication skills on indicators (1) restating information was done appropriately, (2) writing down ideas or problem-solving steps clearly and precisely, some were not thorough, (3) presenting information using graphic images again. There are still things that they couldn't understand and (4) Writing down the answers according to what is known and are asked using mathematical formulas, some are still wrong because they are not accurate.
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