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Comparison of Solving Systems of Linear Equations with Two Variables with Classic Methods and Application Software

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Title: Comparison of Solving Systems of Linear Equations with Two Variables with Classic Methods and Application Software
Language: English
Authors: Vlerë Mustafa (ORCID 0009-0009-5021-7359), Teuta Jusufi Zenku (ORCID 0009-0002-8425-3234), Egzona Iseni (ORCID 0000-0002-0876-7199), Shpetim Rexhepi (ORCID 0000-0001-6720-5009)
Source: International Electronic Journal of Mathematics Education. 2026 21(1).
Availability: International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
Peer Reviewed: Y
Page Count: 17
Publication Date: 2026
Intended Audience: Teachers
Document Type: Journal Articles
Reports - Research
Education Level: Junior High Schools
Middle Schools
Secondary Education
Grade 9
High Schools
Descriptors: Mathematics Instruction, Equations (Mathematics), Word Problems (Mathematics), Teaching Methods, Computer Software, Conventional Instruction, Middle School Teachers, Middle School Students, Grade 9, Foreign Countries, Algebra, Mathematical Concepts, Problem Solving, Knowledge Level, Geometry, Concept Formation
Geographic Terms: Kosovo
ISSN: 1306-3030
Abstract: The study and teaching of mathematics, particularly in middle school, is one of the most challenging subjects and often a source of student frustration. Teachers continuously strive to make this field more engaging and easier to understand. Middle school mathematics teachers, dedicated to creating a more favourable learning environment, face ongoing challenges, especially when teaching systems of linear equations with two variables and solving word problems. Their concern stems from unsatisfactory student performance, despite their persistent efforts to improve outcomes. This research aims to address these challenges by offering a new approach to teaching systems of linear equations with two variables and word problems in mathematics. Through innovative strategies and advancements in teaching methods, the goal is to enhance students' understanding and interest in the subject. In doing so, we hope to help middle school teachers have a more positive impact on students' learning progress and foster a deeper appreciation for mathematics. The study focuses on 9th-grade students at "Pjeter Bogdani" middle school in Pristina, where 103 students participated. The students were divided into three groups, each taught the same topic in different ways. The first group used GeoGebra, the second group used Mathway, and the third group was taught using traditional methods without any software. Based on the results, we concluded that the group using GeoGebra achieved the best outcomes. GeoGebra proved to be the most effective tool for explaining the topic and should be considered for future use in classrooms. In this way, the study guides teachers on choosing a more effective approach among the three methods examined, while acknowledging that other methods and tools may lead to different results.
Abstractor: As Provided
Entry Date: 2026
Accession Number: EJ1505377
Database: ERIC
FullText Text:
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  Data: Comparison of Solving Systems of Linear Equations with Two Variables with Classic Methods and Application Software
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  Data: <searchLink fieldCode="AR" term="%22Vlerë+Mustafa%22">Vlerë Mustafa</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0009-5021-7359">0009-0009-5021-7359</externalLink>)<br /><searchLink fieldCode="AR" term="%22Teuta+Jusufi+Zenku%22">Teuta Jusufi Zenku</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0002-8425-3234">0009-0002-8425-3234</externalLink>)<br /><searchLink fieldCode="AR" term="%22Egzona+Iseni%22">Egzona Iseni</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-0876-7199">0000-0002-0876-7199</externalLink>)<br /><searchLink fieldCode="AR" term="%22Shpetim+Rexhepi%22">Shpetim Rexhepi</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0001-6720-5009">0000-0001-6720-5009</externalLink>)
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  Data: International Electronic Journal of Mathematics Education. Suite 124, Challenge House 616 Mitcham Road, CR0 3AA, Croydon, London, UK. Tel: +44-208-936-7681; e-mail: iejme@iejme.com; Web site: https://www.iejme.com
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  Data: The study and teaching of mathematics, particularly in middle school, is one of the most challenging subjects and often a source of student frustration. Teachers continuously strive to make this field more engaging and easier to understand. Middle school mathematics teachers, dedicated to creating a more favourable learning environment, face ongoing challenges, especially when teaching systems of linear equations with two variables and solving word problems. Their concern stems from unsatisfactory student performance, despite their persistent efforts to improve outcomes. This research aims to address these challenges by offering a new approach to teaching systems of linear equations with two variables and word problems in mathematics. Through innovative strategies and advancements in teaching methods, the goal is to enhance students' understanding and interest in the subject. In doing so, we hope to help middle school teachers have a more positive impact on students' learning progress and foster a deeper appreciation for mathematics. The study focuses on 9th-grade students at "Pjeter Bogdani" middle school in Pristina, where 103 students participated. The students were divided into three groups, each taught the same topic in different ways. The first group used GeoGebra, the second group used Mathway, and the third group was taught using traditional methods without any software. Based on the results, we concluded that the group using GeoGebra achieved the best outcomes. GeoGebra proved to be the most effective tool for explaining the topic and should be considered for future use in classrooms. In this way, the study guides teachers on choosing a more effective approach among the three methods examined, while acknowledging that other methods and tools may lead to different results.
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RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
    Subjects:
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Equations (Mathematics)
        Type: general
      – SubjectFull: Word Problems (Mathematics)
        Type: general
      – SubjectFull: Teaching Methods
        Type: general
      – SubjectFull: Computer Software
        Type: general
      – SubjectFull: Conventional Instruction
        Type: general
      – SubjectFull: Middle School Teachers
        Type: general
      – SubjectFull: Middle School Students
        Type: general
      – SubjectFull: Grade 9
        Type: general
      – SubjectFull: Foreign Countries
        Type: general
      – SubjectFull: Algebra
        Type: general
      – SubjectFull: Mathematical Concepts
        Type: general
      – SubjectFull: Problem Solving
        Type: general
      – SubjectFull: Knowledge Level
        Type: general
      – SubjectFull: Geometry
        Type: general
      – SubjectFull: Concept Formation
        Type: general
      – SubjectFull: Kosovo
        Type: general
    Titles:
      – TitleFull: Comparison of Solving Systems of Linear Equations with Two Variables with Classic Methods and Application Software
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            NameFull: Vlerë Mustafa
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            NameFull: Teuta Jusufi Zenku
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            NameFull: Egzona Iseni
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            NameFull: Shpetim Rexhepi
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              Y: 2026
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