STUDENTS’ THINKING PROCESS IN INVESTIGATING MATHEMATICAL STATEMENT

The statement is a declaratif sentence that can be true or false. It can’t do both at the same time so it needs an investigation through proving process. This research aims to explore the students’ thinking process in investigating the truth value of matematical statement. This research is conducted...

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Main Authors: Siti Faizah, Sudirman Sudirman
Format: Article
Language:Indonesian
Published: Universitas Muhammadiyah Metro 2022-03-01
Series:Aksioma: Jurnal Program Studi Pendidikan Matematika
Subjects:
Online Access:https://ojs.fkip.ummetro.ac.id/index.php/matematika/article/view/4115
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author Siti Faizah
Sudirman Sudirman
author_facet Siti Faizah
Sudirman Sudirman
author_sort Siti Faizah
collection DOAJ
description The statement is a declaratif sentence that can be true or false. It can’t do both at the same time so it needs an investigation through proving process. This research aims to explore the students’ thinking process in investigating the truth value of matematical statement. This research is conducted to seventeen students of mathematical education whom are taking the Abstract Algebra Course. The subject selecting in this reasearch is based on the students’ ability in doing the investigating by using formal proof. The data collecting uses the written test and the interview. Meanwhile, the data analysis is conducted through three steps: data reduction, data interpretation, and taking a conclusion. Based on the result of the research, it is found that students do the thinking process in investigating the matematical statements’ truth value through four steps. The first step, students understand the statements by reading them and classifying them to be a number of objects. The second one, students determine the proof startegies based on the definition or axiom. The third one, students do the algebraic operation by using symbol manipulation. The last one, students provide justification as the form of their belief of the proof results.
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spelling doaj.art-02e6d04932d144768050d76feb34f3272022-12-22T01:31:39ZindUniversitas Muhammadiyah MetroAksioma: Jurnal Program Studi Pendidikan Matematika2089-87032442-54192022-03-0111117818610.24127/ajpm.v11i1.41152040STUDENTS’ THINKING PROCESS IN INVESTIGATING MATHEMATICAL STATEMENTSiti Faizah0Sudirman Sudirman1Universitas Hasyim Asy'ariUniversitas Negeri MalangThe statement is a declaratif sentence that can be true or false. It can’t do both at the same time so it needs an investigation through proving process. This research aims to explore the students’ thinking process in investigating the truth value of matematical statement. This research is conducted to seventeen students of mathematical education whom are taking the Abstract Algebra Course. The subject selecting in this reasearch is based on the students’ ability in doing the investigating by using formal proof. The data collecting uses the written test and the interview. Meanwhile, the data analysis is conducted through three steps: data reduction, data interpretation, and taking a conclusion. Based on the result of the research, it is found that students do the thinking process in investigating the matematical statements’ truth value through four steps. The first step, students understand the statements by reading them and classifying them to be a number of objects. The second one, students determine the proof startegies based on the definition or axiom. The third one, students do the algebraic operation by using symbol manipulation. The last one, students provide justification as the form of their belief of the proof results.https://ojs.fkip.ummetro.ac.id/index.php/matematika/article/view/4115investigating, mathematical statement, thinking
spellingShingle Siti Faizah
Sudirman Sudirman
STUDENTS’ THINKING PROCESS IN INVESTIGATING MATHEMATICAL STATEMENT
Aksioma: Jurnal Program Studi Pendidikan Matematika
investigating, mathematical statement, thinking
title STUDENTS’ THINKING PROCESS IN INVESTIGATING MATHEMATICAL STATEMENT
title_full STUDENTS’ THINKING PROCESS IN INVESTIGATING MATHEMATICAL STATEMENT
title_fullStr STUDENTS’ THINKING PROCESS IN INVESTIGATING MATHEMATICAL STATEMENT
title_full_unstemmed STUDENTS’ THINKING PROCESS IN INVESTIGATING MATHEMATICAL STATEMENT
title_short STUDENTS’ THINKING PROCESS IN INVESTIGATING MATHEMATICAL STATEMENT
title_sort students thinking process in investigating mathematical statement
topic investigating, mathematical statement, thinking
url https://ojs.fkip.ummetro.ac.id/index.php/matematika/article/view/4115
work_keys_str_mv AT sitifaizah studentsthinkingprocessininvestigatingmathematicalstatement
AT sudirmansudirman studentsthinkingprocessininvestigatingmathematicalstatement