Improving the Efficacy of Mathematics Education with Open-Ended Problems and Technological Integration

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Title: Improving the Efficacy of Mathematics Education with Open-Ended Problems and Technological Integration
Language: English
Authors: Eriola Sila (ORCID 0009-0005-3170-3678), Elida Hoxha (ORCID 0000-0002-7062-6645), Valentina Vecaj (ORCID 0009-0003-2742-6749)
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: 14
Publication Date: 2026
Document Type: Journal Articles
Reports - Research
Tests/Questionnaires
Education Level: High Schools
Secondary Education
Descriptors: Mathematics Education, Technology Integration, High School Students, Geometric Concepts, Problem Solving, Instructional Effectiveness, Knowledge Level, Creativity, Student Attitudes, Student Motivation, Foreign Countries, Secondary School Mathematics
Geographic Terms: Albania
ISSN: 1306-3030
Abstract: Nowadays using open-ended problems and technology in mathematical educations is a significant path between theory and its practical applications. Consequently, employing these problems and technological tools in their teaching can transform them into a powerful tool for developing students' mathematical knowledge and critical and creative thinking. This paper treats the impact of open-ended problems and the application of technology in their solutions on the acquisition of students' mathematical knowledge and the enhancement of their creativity. This study included 188 students from two high schools located in distinct cities in Albania. The topics of geometric transformations were introduced to them, followed by a final assessment and a semi-structured interview. The topics of geometric transformations were developed with them, and then, through a final test and a semistructured interview, the findings were analyzed regarding the impact of open-ended problems and the use of technology in solving them, both on the acquisition of mathematical knowledge and on increasing students' creativity. The analysis of students' attitudes towards these approaches was conducted using questionnaires, through which their motivation to engage in the learning process was analyzed as well as the increase in confidence in their mathematical skills.
Abstractor: As Provided
Entry Date: 2026
Accession Number: EJ1505523
Database: ERIC
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  Availability: 0
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  Data: Improving the Efficacy of Mathematics Education with Open-Ended Problems and Technological Integration
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  Data: <searchLink fieldCode="AR" term="%22Eriola+Sila%22">Eriola Sila</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0005-3170-3678">0009-0005-3170-3678</externalLink>)<br /><searchLink fieldCode="AR" term="%22Elida+Hoxha%22">Elida Hoxha</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-7062-6645">0000-0002-7062-6645</externalLink>)<br /><searchLink fieldCode="AR" term="%22Valentina+Vecaj%22">Valentina Vecaj</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0003-2742-6749">0009-0003-2742-6749</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22International+Electronic+Journal+of+Mathematics+Education%22"><i>International Electronic Journal of Mathematics Education</i></searchLink>. 2026 21(1).
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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: 14
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  Data: <searchLink fieldCode="DE" term="%22Mathematics+Education%22">Mathematics Education</searchLink><br /><searchLink fieldCode="DE" term="%22Technology+Integration%22">Technology Integration</searchLink><br /><searchLink fieldCode="DE" term="%22High+School+Students%22">High School Students</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+Concepts%22">Geometric Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Problem+Solving%22">Problem Solving</searchLink><br /><searchLink fieldCode="DE" term="%22Instructional+Effectiveness%22">Instructional Effectiveness</searchLink><br /><searchLink fieldCode="DE" term="%22Knowledge+Level%22">Knowledge Level</searchLink><br /><searchLink fieldCode="DE" term="%22Creativity%22">Creativity</searchLink><br /><searchLink fieldCode="DE" term="%22Student+Attitudes%22">Student Attitudes</searchLink><br /><searchLink fieldCode="DE" term="%22Student+Motivation%22">Student Motivation</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink><br /><searchLink fieldCode="DE" term="%22Secondary+School+Mathematics%22">Secondary School Mathematics</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Albania%22">Albania</searchLink>
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  Data: 1306-3030
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  Data: Nowadays using open-ended problems and technology in mathematical educations is a significant path between theory and its practical applications. Consequently, employing these problems and technological tools in their teaching can transform them into a powerful tool for developing students' mathematical knowledge and critical and creative thinking. This paper treats the impact of open-ended problems and the application of technology in their solutions on the acquisition of students' mathematical knowledge and the enhancement of their creativity. This study included 188 students from two high schools located in distinct cities in Albania. The topics of geometric transformations were introduced to them, followed by a final assessment and a semi-structured interview. The topics of geometric transformations were developed with them, and then, through a final test and a semistructured interview, the findings were analyzed regarding the impact of open-ended problems and the use of technology in solving them, both on the acquisition of mathematical knowledge and on increasing students' creativity. The analysis of students' attitudes towards these approaches was conducted using questionnaires, through which their motivation to engage in the learning process was analyzed as well as the increase in confidence in their mathematical skills.
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  Data: EJ1505523
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RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 14
    Subjects:
      – SubjectFull: Mathematics Education
        Type: general
      – SubjectFull: Technology Integration
        Type: general
      – SubjectFull: High School Students
        Type: general
      – SubjectFull: Geometric Concepts
        Type: general
      – SubjectFull: Problem Solving
        Type: general
      – SubjectFull: Instructional Effectiveness
        Type: general
      – SubjectFull: Knowledge Level
        Type: general
      – SubjectFull: Creativity
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      – SubjectFull: Student Attitudes
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      – SubjectFull: Student Motivation
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      – SubjectFull: Foreign Countries
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      – SubjectFull: Secondary School Mathematics
        Type: general
      – SubjectFull: Albania
        Type: general
    Titles:
      – TitleFull: Improving the Efficacy of Mathematics Education with Open-Ended Problems and Technological Integration
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            NameFull: Eriola Sila
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            NameFull: Elida Hoxha
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            NameFull: Valentina Vecaj
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              M: 01
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              Y: 2026
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