The pattern of a relational understanding of fifth-grade students on integer operations

Relational understanding constitutes students’ awareness of appropriate procedures to solve problems along with logical reasoning. Itis pivotal to help students solve problems in mathematics. It is necessary that the teaching of mathematics be directed to achieve relational understanding. Accordingl...

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Main Author: Dwi Priyo Utomo
Format: Article
Language:English
Published: Muhammadiyah University Press 2020-06-01
Series:Journal of Research and Advances in Mathematics Education
Subjects:
Online Access:https://journals2.ums.ac.id/index.php/jramathedu/article/view/9298
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author Dwi Priyo Utomo
author_facet Dwi Priyo Utomo
author_sort Dwi Priyo Utomo
collection DOAJ
description Relational understanding constitutes students’ awareness of appropriate procedures to solve problems along with logical reasoning. Itis pivotal to help students solve problems in mathematics. It is necessary that the teaching of mathematics be directed to achieve relational understanding. Accordingly, students are capable of solving complicated problems in mathematics. This current research aims at analyzing and describing relational understanding and the patterns of answering questions of the fifth graders on integer operation. This study used a qualitative approach with a case study as the research design. Further, three students belonging to the fifth grade of Elementary School in Malang City, Indonesia, were set up as the research subjects. A test was administered to measure the subjects' relational understanding. All collected data were analyzed using an interactive technique. The result has indicated that the highly-proficient student was able to show excellent relational understanding. Besides, it was shown that the fairly-proficient student could show good relational understanding. The lowly-proficient student was shown to be able to achieve only half of the holistic criteria set for relational understanding. The patterns of answering the questions demonstrated by all students in all levels included jotting down the models, completing the models, and answering the questions. The highlyproficient student understood the information and wrote it down. Whilst the fairly-proficient student understood the information without translating it into the written form. At last, the lowly-proficient student did not pronounce any signals of understanding of the information.
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spelling doaj-art-92a6b3a7b2c04a908861af39398ccd4e2025-08-20T02:41:30ZengMuhammadiyah University PressJournal of Research and Advances in Mathematics Education2503-36972020-06-0111912910.23917/jramathedu.v5i2.95459361The pattern of a relational understanding of fifth-grade students on integer operationsDwi Priyo Utomo0Department of Mathematics Education, Universitas Muhammadiyah Malang, IndonesiaRelational understanding constitutes students’ awareness of appropriate procedures to solve problems along with logical reasoning. Itis pivotal to help students solve problems in mathematics. It is necessary that the teaching of mathematics be directed to achieve relational understanding. Accordingly, students are capable of solving complicated problems in mathematics. This current research aims at analyzing and describing relational understanding and the patterns of answering questions of the fifth graders on integer operation. This study used a qualitative approach with a case study as the research design. Further, three students belonging to the fifth grade of Elementary School in Malang City, Indonesia, were set up as the research subjects. A test was administered to measure the subjects' relational understanding. All collected data were analyzed using an interactive technique. The result has indicated that the highly-proficient student was able to show excellent relational understanding. Besides, it was shown that the fairly-proficient student could show good relational understanding. The lowly-proficient student was shown to be able to achieve only half of the holistic criteria set for relational understanding. The patterns of answering the questions demonstrated by all students in all levels included jotting down the models, completing the models, and answering the questions. The highlyproficient student understood the information and wrote it down. Whilst the fairly-proficient student understood the information without translating it into the written form. At last, the lowly-proficient student did not pronounce any signals of understanding of the information.https://journals2.ums.ac.id/index.php/jramathedu/article/view/9298relational understandingthe pattern of answering questionsinteger operations
spellingShingle Dwi Priyo Utomo
The pattern of a relational understanding of fifth-grade students on integer operations
Journal of Research and Advances in Mathematics Education
relational understanding
the pattern of answering questions
integer operations
title The pattern of a relational understanding of fifth-grade students on integer operations
title_full The pattern of a relational understanding of fifth-grade students on integer operations
title_fullStr The pattern of a relational understanding of fifth-grade students on integer operations
title_full_unstemmed The pattern of a relational understanding of fifth-grade students on integer operations
title_short The pattern of a relational understanding of fifth-grade students on integer operations
title_sort pattern of a relational understanding of fifth grade students on integer operations
topic relational understanding
the pattern of answering questions
integer operations
url https://journals2.ums.ac.id/index.php/jramathedu/article/view/9298
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AT dwipriyoutomo patternofarelationalunderstandingoffifthgradestudentsonintegeroperations