Kesulitan Siswa dalam Membuktikan Masalah Kesamaan dan Ketidaksamaan Matematika Menggunakan Induksi Matematika

Jurnal Elemen

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Field Value
 
Title Kesulitan Siswa dalam Membuktikan Masalah Kesamaan dan Ketidaksamaan Matematika Menggunakan Induksi Matematika
 
Creator Astawa, I Wayan Puja; Universitas Pendidikan Ganesha
Sudiarta, I Gusti Putu; Universitas Pendidikan Ganesha
Suparta, I Nengah; Universitas Pendidikan Ganesha
 
Subject equality; inequality; mathematical induction; misconception
 
Description Mathematical similarities and inequalities are common mathematical statements related to numbers whose truth can be proven by mathematical induction. Proving by mathematical induction involves two main steps, namely the basic step and the induction step. The study of mathematical induction related to similarity and inequality is very important and is still relatively limited in quantity. This study aims to determine whether there are significant differences in students' ability to prove mathematical statements using mathematical induction on mathematical similarities and inequalities problems and identify misconceptions. The study was conducted with a mixed method. A sample of 117 students from two high schools in the city of Singaraja was selected by a random cluster technique to obtain quantitative data. Meanwhile, the research subjects were two students selected based on the misconceptions shown to obtain qualitative data. Quantitative data on the ability to prove the similarity and inequality problems using mathematical induction was collected by written tests and qualitative data on misconceptions were collected by interview. Quantitative data were analyzed by a paired group t-test and by z test for proportions. Meanwhile, qualitative data were analyzed by content analysis of students' works to identify their misconceptions. The results showed that proving the mathematical induction of the inequality problem was more difficult than proving the similarity problem. This difficulty occurs both in the basic step and the induction step. Misconceptions arise due to the fallacy of analogies and interpretations of mathematical notation.
 
Publisher Universitas Hamzanwadi
 
Contributor
 
Date 2020-01-31
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion

 
Format application/pdf
 
Identifier http://e-journal.hamzanwadi.ac.id/index.php/jel/article/view/1746
 
Source Jurnal Elemen; Vol 6, No 1 (2020): Jurnal Elemen; 146-156
Jurnal Elemen; Vol 6, No 1 (2020): Jurnal Elemen; 146-156
2442-4226
 
Language eng
 
Relation http://e-journal.hamzanwadi.ac.id/index.php/jel/article/view/1746/pdf_70
http://e-journal.hamzanwadi.ac.id/index.php/jel/article/downloadSuppFile/1746/287
 
Rights Copyright (c) 2020 Jurnal Elemen
http://creativecommons.org/licenses/by-sa/4.0
 

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