Learning The Concept of Area and Perimeter by Exploring Their Relation

Learning the concept of perimeter and area is not easy for students ingrade 3 of primary school. A common mistake is that students thinkthat if the area is the same, the perimeter also has to be the same. It is difficult for them to understand that for a given area, there are many possibilities of p...

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Main Authors: Destina Wahyu Winarti, Siti Maghfirotun Amin, Agung Lukito, Frans Van Gallen
Format: Article
Language:English
Published: Sriwijaya University 2012-01-01
Series:Journal on Mathematics Education
Subjects:
Online Access:http://jims-b.org/?download=42
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author Destina Wahyu Winarti
Siti Maghfirotun Amin
Agung Lukito
Frans Van Gallen
author_facet Destina Wahyu Winarti
Siti Maghfirotun Amin
Agung Lukito
Frans Van Gallen
author_sort Destina Wahyu Winarti
collection DOAJ
description Learning the concept of perimeter and area is not easy for students ingrade 3 of primary school. A common mistake is that students thinkthat if the area is the same, the perimeter also has to be the same. It is difficult for them to understand that for a given area, there are many possibilities of perimeter and vice versa. When student are not aware of this relation they might confuse about the concept in their continuation of learning process. This research was conducted to study if it would support students’ understanding of the concept of perimeter and area if we let them explore the relation between perimeter and area in the very first phase of the learning process.Design research was chosen as the method to study this issue and thethree basic principles in The Realistic Mathematics approach wereapplied in this study to support the learning process of perimeter andarea. Real life context such as picture frames was choosen indeveloping a sequence of learning line to reach the learning goal ofperimeter and area. The partipants of this research were students andmathematics teacher of grade 3 in one of the elementary school inSurabaya. Two classes were taken to involve in the first cycle andsecond cycle respectively. The teaching experiment shows that the class activities such as making photo frame, measuring photo paper with sticky paper and arranging shapes with wooden matches are activities which can be used to reveal the relation of perimeter and area. From those activities students build their own understanding that in fact area and perimeter are not in one to one correspondence, they found that for the given area they might find different perimeter or vice versa. They also found the reason why they multiply length and width to count the area of rectangular or square shape from sticky paper activity. Somehow some students were found still struggle with their understanding of area and perimeter. They often simply count the area and perimeter but when it comes into comparing the area or perimeter they still struggle to differentiate between areaand perimeter.
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spelling doaj.art-521a997004fe43eeb0c95a6dcdda1ef32022-12-21T20:48:27ZengSriwijaya UniversityJournal on Mathematics Education2087-88852012-01-01314154Learning The Concept of Area and Perimeter by Exploring Their RelationDestina Wahyu WinartiSiti Maghfirotun AminAgung LukitoFrans Van GallenLearning the concept of perimeter and area is not easy for students ingrade 3 of primary school. A common mistake is that students thinkthat if the area is the same, the perimeter also has to be the same. It is difficult for them to understand that for a given area, there are many possibilities of perimeter and vice versa. When student are not aware of this relation they might confuse about the concept in their continuation of learning process. This research was conducted to study if it would support students’ understanding of the concept of perimeter and area if we let them explore the relation between perimeter and area in the very first phase of the learning process.Design research was chosen as the method to study this issue and thethree basic principles in The Realistic Mathematics approach wereapplied in this study to support the learning process of perimeter andarea. Real life context such as picture frames was choosen indeveloping a sequence of learning line to reach the learning goal ofperimeter and area. The partipants of this research were students andmathematics teacher of grade 3 in one of the elementary school inSurabaya. Two classes were taken to involve in the first cycle andsecond cycle respectively. The teaching experiment shows that the class activities such as making photo frame, measuring photo paper with sticky paper and arranging shapes with wooden matches are activities which can be used to reveal the relation of perimeter and area. From those activities students build their own understanding that in fact area and perimeter are not in one to one correspondence, they found that for the given area they might find different perimeter or vice versa. They also found the reason why they multiply length and width to count the area of rectangular or square shape from sticky paper activity. Somehow some students were found still struggle with their understanding of area and perimeter. They often simply count the area and perimeter but when it comes into comparing the area or perimeter they still struggle to differentiate between areaand perimeter.http://jims-b.org/?download=42PerimeterAreaRelation between perimeter and areaUnderstanding
spellingShingle Destina Wahyu Winarti
Siti Maghfirotun Amin
Agung Lukito
Frans Van Gallen
Learning The Concept of Area and Perimeter by Exploring Their Relation
Journal on Mathematics Education
Perimeter
Area
Relation between perimeter and area
Understanding
title Learning The Concept of Area and Perimeter by Exploring Their Relation
title_full Learning The Concept of Area and Perimeter by Exploring Their Relation
title_fullStr Learning The Concept of Area and Perimeter by Exploring Their Relation
title_full_unstemmed Learning The Concept of Area and Perimeter by Exploring Their Relation
title_short Learning The Concept of Area and Perimeter by Exploring Their Relation
title_sort learning the concept of area and perimeter by exploring their relation
topic Perimeter
Area
Relation between perimeter and area
Understanding
url http://jims-b.org/?download=42
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AT sitimaghfirotunamin learningtheconceptofareaandperimeterbyexploringtheirrelation
AT agunglukito learningtheconceptofareaandperimeterbyexploringtheirrelation
AT fransvangallen learningtheconceptofareaandperimeterbyexploringtheirrelation