Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on Integers

One of the common misconceptions affecting mathematics performance of high school students involves operating integers. Evidently, students who were exposed to modular learning demonstrate poor mastery of the pre-requisite skills. This study aimed to assess the mastery level and misconceptions of th...

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Main Authors: Nurul Ain J. Harun, Kyrille Grace A. Cuevas, Olivia I. Asakil, Jayson V. Alviar, Leo Jay V. Solon
Format: Article
Language:English
Published: Institute of Industry and Academic Research Incorporated 2023-09-01
Series:International Journal of Science, Technology, Engineering and Mathematics
Subjects:
Online Access:https://iiari.org/journal_article/assessing-students-mastery-and-misconceptions-in-the-fundamental-operations-on-integers/
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author Nurul Ain J. Harun
Kyrille Grace A. Cuevas
Olivia I. Asakil
Jayson V. Alviar
Leo Jay V. Solon
author_facet Nurul Ain J. Harun
Kyrille Grace A. Cuevas
Olivia I. Asakil
Jayson V. Alviar
Leo Jay V. Solon
author_sort Nurul Ain J. Harun
collection DOAJ
description One of the common misconceptions affecting mathematics performance of high school students involves operating integers. Evidently, students who were exposed to modular learning demonstrate poor mastery of the pre-requisite skills. This study aimed to assess the mastery level and misconceptions of the Grade 7 students involving operations on integers. A descriptive research design was used with a total of sixty-two (62) conveniently chosen Grade 7 students were twenty-nine (29) were males and thirty-three (33) were females. The Mean Percentage Scores (MPS) per operation on integers were calculated to describe the mastery level and the assessment results were analyzed to identify possible misconceptions of the students in operating integers. Similarly, data were analyzed using the Welch t-Test to determine if there is a difference in the level of mastery between the male and female students. Findings show that the overall MPS result is 50.56%, indicating that the students demonstrated Average Near Mastery (AVR) of the concepts involving operations on integers. In addition, there was no significant difference between the mastery level of male and female grade 7 students. Although the students demonstrated Average Near Mastery (AVR) in the given assessment, the item analysis showed various misconceptions and errors exhibited by the students regardless of sex and section. Students’ misconceptions include subtracting integers and dealing with negative numbers. Hence, an intervention is needed to address the misconceptions in subtracting integers and a reinforcement is proposed to enhance the students’ mastery in other operations on integers.
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spelling doaj.art-b7ecf8cc4b474fa89b080e656a64cab82024-02-19T10:59:32ZengInstitute of Industry and Academic Research IncorporatedInternational Journal of Science, Technology, Engineering and Mathematics2799-16012799-161X2023-09-0133365510.53378/353000Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on IntegersNurul Ain J. HarunKyrille Grace A. CuevasOlivia I. Asakil Jayson V. AlviarLeo Jay V. SolonOne of the common misconceptions affecting mathematics performance of high school students involves operating integers. Evidently, students who were exposed to modular learning demonstrate poor mastery of the pre-requisite skills. This study aimed to assess the mastery level and misconceptions of the Grade 7 students involving operations on integers. A descriptive research design was used with a total of sixty-two (62) conveniently chosen Grade 7 students were twenty-nine (29) were males and thirty-three (33) were females. The Mean Percentage Scores (MPS) per operation on integers were calculated to describe the mastery level and the assessment results were analyzed to identify possible misconceptions of the students in operating integers. Similarly, data were analyzed using the Welch t-Test to determine if there is a difference in the level of mastery between the male and female students. Findings show that the overall MPS result is 50.56%, indicating that the students demonstrated Average Near Mastery (AVR) of the concepts involving operations on integers. In addition, there was no significant difference between the mastery level of male and female grade 7 students. Although the students demonstrated Average Near Mastery (AVR) in the given assessment, the item analysis showed various misconceptions and errors exhibited by the students regardless of sex and section. Students’ misconceptions include subtracting integers and dealing with negative numbers. Hence, an intervention is needed to address the misconceptions in subtracting integers and a reinforcement is proposed to enhance the students’ mastery in other operations on integers.https://iiari.org/journal_article/assessing-students-mastery-and-misconceptions-in-the-fundamental-operations-on-integers/operations on integersmastery levelmean percentage scoremisconceptions
spellingShingle Nurul Ain J. Harun
Kyrille Grace A. Cuevas
Olivia I. Asakil
Jayson V. Alviar
Leo Jay V. Solon
Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on Integers
International Journal of Science, Technology, Engineering and Mathematics
operations on integers
mastery level
mean percentage score
misconceptions
title Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on Integers
title_full Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on Integers
title_fullStr Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on Integers
title_full_unstemmed Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on Integers
title_short Assessing Students’ Mastery and Misconceptions in the Fundamental Operations on Integers
title_sort assessing students mastery and misconceptions in the fundamental operations on integers
topic operations on integers
mastery level
mean percentage score
misconceptions
url https://iiari.org/journal_article/assessing-students-mastery-and-misconceptions-in-the-fundamental-operations-on-integers/
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