An Error Analysis of Students’ Difficulties in Differential Calculus

This study aims to describe the types of mistake and causes of the XI grade students of SMA Negeri 31 Jakarta TP. 2019/2020 made a mistake in solving the problem of an algebraic function derivative application. The method of this research is a qualitative descriptive study. The data was obtained by...

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Main Authors: Meiliasari Meiliasari, Dwi Antari Wijayanti, Laely Astafiani Azima
Format: Article
Language:Indonesian
Published: Universitas Ivet 2021-01-01
Series:Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang
Online Access:http://e-journal.ivet.ac.id/index.php/matematika/article/view/1433
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spelling doaj-23321073ad134d84818815ee0100b3a82021-03-21T07:43:32ZindUniversitas IvetJournal of Medives: Journal of Mathematics Education IKIP Veteran Semarang2549-82312549-50702021-01-0151486010.31331/medivesveteran.v5i1.14331433An Error Analysis of Students’ Difficulties in Differential CalculusMeiliasari Meiliasari0Dwi Antari Wijayanti1Laely Astafiani Azima2Universitas Negeri JakartaUniversitas Negeri JakartaUniversitas Negeri JakartaThis study aims to describe the types of mistake and causes of the XI grade students of SMA Negeri 31 Jakarta TP. 2019/2020 made a mistake in solving the problem of an algebraic function derivative application. The method of this research is a qualitative descriptive study. The data was obtained by conducting tests and interview online. The respondents were drawn from 6 XI class in SMA Negeri 31 Jakarta. Each student's work was analyzed to describe the types of mistakes using the Newman analysis procedure, then an interview was conducted to describe the factors that caused students to make mistakes. Based on the results of the study, it can be concluded that the types of mistakes found when students solve problems in the application of algebraic function derivatives are 1) reading mistakes, that is, incorrectly writing the functions listed in the questions, 2) mistakes in understanding, in the form of misinterpreting what is known and asked about, 3) transformation mistakes, in the form of students' inability to choose procedures to solve problems appropriately, 4) process skill mistakes, in the form of incomplete student work, miscalculation, 5) conditioning mistakes, in the form of students' inability to show the final answer. The contributing factors are that students do not understand the derivative application material of algebraic functions, students are in a hurry to solve the problems, different types of questions given are different from the questions exemplified by the teacher, and rarely make conclusions at the end of the answer. Keywords: analysis of mistakes, newman procedure, application of derivative algebraic functions.http://e-journal.ivet.ac.id/index.php/matematika/article/view/1433
collection DOAJ
language Indonesian
format Article
sources DOAJ
author Meiliasari Meiliasari
Dwi Antari Wijayanti
Laely Astafiani Azima
spellingShingle Meiliasari Meiliasari
Dwi Antari Wijayanti
Laely Astafiani Azima
An Error Analysis of Students’ Difficulties in Differential Calculus
Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang
author_facet Meiliasari Meiliasari
Dwi Antari Wijayanti
Laely Astafiani Azima
author_sort Meiliasari Meiliasari
title An Error Analysis of Students’ Difficulties in Differential Calculus
title_short An Error Analysis of Students’ Difficulties in Differential Calculus
title_full An Error Analysis of Students’ Difficulties in Differential Calculus
title_fullStr An Error Analysis of Students’ Difficulties in Differential Calculus
title_full_unstemmed An Error Analysis of Students’ Difficulties in Differential Calculus
title_sort error analysis of students’ difficulties in differential calculus
publisher Universitas Ivet
series Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang
issn 2549-8231
2549-5070
publishDate 2021-01-01
description This study aims to describe the types of mistake and causes of the XI grade students of SMA Negeri 31 Jakarta TP. 2019/2020 made a mistake in solving the problem of an algebraic function derivative application. The method of this research is a qualitative descriptive study. The data was obtained by conducting tests and interview online. The respondents were drawn from 6 XI class in SMA Negeri 31 Jakarta. Each student's work was analyzed to describe the types of mistakes using the Newman analysis procedure, then an interview was conducted to describe the factors that caused students to make mistakes. Based on the results of the study, it can be concluded that the types of mistakes found when students solve problems in the application of algebraic function derivatives are 1) reading mistakes, that is, incorrectly writing the functions listed in the questions, 2) mistakes in understanding, in the form of misinterpreting what is known and asked about, 3) transformation mistakes, in the form of students' inability to choose procedures to solve problems appropriately, 4) process skill mistakes, in the form of incomplete student work, miscalculation, 5) conditioning mistakes, in the form of students' inability to show the final answer. The contributing factors are that students do not understand the derivative application material of algebraic functions, students are in a hurry to solve the problems, different types of questions given are different from the questions exemplified by the teacher, and rarely make conclusions at the end of the answer. Keywords: analysis of mistakes, newman procedure, application of derivative algebraic functions.
url http://e-journal.ivet.ac.id/index.php/matematika/article/view/1433
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