Sources and Possible Causes of Errors and Misconceptions in Operations of Integers

This research investigated students’ sources and causes of errors and misconception in solving routine problems involving addition, subtraction, multiplication, and division of integers. This qualitative study involved observation of eight Year 7 classes and interviews with the respective classroom...

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Main Authors:	Khalid, Madihah, Embong, Zulmaryan
Format:	Article
Language:	English
Published:	Gokkusagi Ltd. Sti. 2020
Subjects:	L Education (General)
Online Access:	http://irep.iium.edu.my/75848/ http://irep.iium.edu.my/75848/ http://irep.iium.edu.my/75848/ http://irep.iium.edu.my/75848/1/sources-and-possible-causes-of-errors-and-misconceptions-in-operations-of-integers-6265.pdf

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recordtype	eprints
spelling	iium-758482020-01-09T17:43:54Z http://irep.iium.edu.my/75848/ Sources and Possible Causes of Errors and Misconceptions in Operations of Integers Khalid, Madihah Embong, Zulmaryan L Education (General) This research investigated students’ sources and causes of errors and misconception in solving routine problems involving addition, subtraction, multiplication, and division of integers. This qualitative study involved observation of eight Year 7 classes and interviews with the respective classroom teachers. Sixteen Year 7 students who exhibit errors when solving the problems given in the Error Identification Integer Test (EIIT) were also interviewed to probe their thinking. The different types of errors were categorized according to how they were construed. The sources of errors were found to stem from carelessness, poor basic knowledge such as the inability to multiply and divide even the whole numbers, inability to assimilate concepts of integers since they are used to the schema of whole numbers, and rule mix-up which is also the result of surface understanding. Teachers were questioned about common errors and possible reasons for these errors made by their students. The main cause of errors and misconceptions is superficial understanding, which was most probably due to teachers rushing to complete the extensive syllabus, and consequently, students resorted to memorizing rules because of surface understanding. Teaching episodes were found to lack multiple-representation, creativity, as well as cooperative learning and active learning. Gokkusagi Ltd. Sti. 2020 Article PeerReviewed application/pdf en http://irep.iium.edu.my/75848/1/sources-and-possible-causes-of-errors-and-misconceptions-in-operations-of-integers-6265.pdf Khalid, Madihah and Embong, Zulmaryan (2020) Sources and Possible Causes of Errors and Misconceptions in Operations of Integers. International Electronic Journal of Mathematics Education, 15 (2). pp. 1-13. ISSN 1306-3030 https://www.iejme.com/article/sources-and-possible-causes-of-errors-and-misconceptions-in-operations-of-integers-6265 em0568
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English
topic	L Education (General)
spellingShingle	L Education (General) Khalid, Madihah Embong, Zulmaryan Sources and Possible Causes of Errors and Misconceptions in Operations of Integers
description	This research investigated students’ sources and causes of errors and misconception in solving routine problems involving addition, subtraction, multiplication, and division of integers. This qualitative study involved observation of eight Year 7 classes and interviews with the respective classroom teachers. Sixteen Year 7 students who exhibit errors when solving the problems given in the Error Identification Integer Test (EIIT) were also interviewed to probe their thinking. The different types of errors were categorized according to how they were construed. The sources of errors were found to stem from carelessness, poor basic knowledge such as the inability to multiply and divide even the whole numbers, inability to assimilate concepts of integers since they are used to the schema of whole numbers, and rule mix-up which is also the result of surface understanding. Teachers were questioned about common errors and possible reasons for these errors made by their students. The main cause of errors and misconceptions is superficial understanding, which was most probably due to teachers rushing to complete the extensive syllabus, and consequently, students resorted to memorizing rules because of surface understanding. Teaching episodes were found to lack multiple-representation, creativity, as well as cooperative learning and active learning.
format	Article
author	Khalid, Madihah Embong, Zulmaryan
author_facet	Khalid, Madihah Embong, Zulmaryan
author_sort	Khalid, Madihah
title	Sources and Possible Causes of Errors and Misconceptions in Operations of Integers
title_short	Sources and Possible Causes of Errors and Misconceptions in Operations of Integers
title_full	Sources and Possible Causes of Errors and Misconceptions in Operations of Integers
title_fullStr	Sources and Possible Causes of Errors and Misconceptions in Operations of Integers
title_full_unstemmed	Sources and Possible Causes of Errors and Misconceptions in Operations of Integers
title_sort	sources and possible causes of errors and misconceptions in operations of integers
publisher	Gokkusagi Ltd. Sti.
publishDate	2020
url	http://irep.iium.edu.my/75848/ http://irep.iium.edu.my/75848/ http://irep.iium.edu.my/75848/ http://irep.iium.edu.my/75848/1/sources-and-possible-causes-of-errors-and-misconceptions-in-operations-of-integers-6265.pdf
first_indexed	2023-09-18T21:47:17Z
last_indexed	2023-09-18T21:47:17Z
_version_	1777413534032855040

Sources and Possible Causes of Errors and Misconceptions in Operations of Integers

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