How are Students' Conceptual Understanding for Solving Mathematical Problem?

This study describes students' conceptual understanding in solving mathematical problems. Conceptual understanding is an important component in learning mathematics. By learning mathematics students are able to apply concepts and think logically. The qualitative research took students of SMP Ne...

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Published inJournal of physics. Conference series Vol. 1776; no. 1; pp. 12018 - 12025
Main Authors Kholid, Muhammad Noor, Imawati, Ayu, Swastika, Annisa, Maharani, Swasti, Pradana, Lingga Nico
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.02.2021
Subjects
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ISSN1742-6588
1742-6596
DOI10.1088/1742-6596/1776/1/012018

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Abstract This study describes students' conceptual understanding in solving mathematical problems. Conceptual understanding is an important component in learning mathematics. By learning mathematics students are able to apply concepts and think logically. The qualitative research took students of SMP Negeri 1 Gatak Sukoharjo Indonesia. There were 59 students who were tested to find out the conceptual understanding. All students are categorized into 16 students with high mathematical ability (Subject S-1), 25 students with moderate ability (Subject S-2), and 18 students with low mathematical ability (Subject S-3). Data collected through tests, video recordings, field notes, and interviews. Data analysis techniques include data reduction, data presentation, and drawing conclusions. The validity of the data is obtained through validation and triangulation. Subjects with high mathematical ability can solve mathematical problems correctly. Subjects with moderate mathematical abilities are able to solve the given problem but not all indicators on understanding the concept fulfilled. Subjects with low mathematical abilities are not able to solve problems precisely. Research contributes as a new reference to the theory of conceptual understanding.
AbstractList This study describes students' conceptual understanding in solving mathematical problems. Conceptual understanding is an important component in learning mathematics. By learning mathematics students are able to apply concepts and think logically. The qualitative research took students of SMP Negeri 1 Gatak Sukoharjo Indonesia. There were 59 students who were tested to find out the conceptual understanding. All students are categorized into 16 students with high mathematical ability (Subject S-1), 25 students with moderate ability (Subject S-2), and 18 students with low mathematical ability (Subject S-3). Data collected through tests, video recordings, field notes, and interviews. Data analysis techniques include data reduction, data presentation, and drawing conclusions. The validity of the data is obtained through validation and triangulation. Subjects with high mathematical ability can solve mathematical problems correctly. Subjects with moderate mathematical abilities are able to solve the given problem but not all indicators on understanding the concept fulfilled. Subjects with low mathematical abilities are not able to solve problems precisely. Research contributes as a new reference to the theory of conceptual understanding.
Author Swastika, Annisa
Maharani, Swasti
Kholid, Muhammad Noor
Imawati, Ayu
Pradana, Lingga Nico
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Cites_doi 10.5539/ies.v10n8p12
10.1007/s11858-012-0467-1
10.1080/13636820601145630
10.1080/03075079812331380512
10.1023/A:1003755611058
10.1002/tea.3660280907
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SubjectTerms Data analysis
Data reduction
Learning
Mathematical analysis
Mathematical problems
Physics
Students
Triangulation
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