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The Influence of Dynamic Representations in Mobile Applications on Students' Learning Achievements in Solving Multiple Integrals

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Title: The Influence of Dynamic Representations in Mobile Applications on Students' Learning Achievements in Solving Multiple Integrals
Language: English
Authors: Aleksandar Milenkovic (ORCID 0000-0001-6699-8772), Ðurdica Takaci (ORCID 0000-0002-6547-822X), Radoslav Božic (ORCID 0000-0003-1128-8823)
Source: International Journal of Education in Mathematics, Science and Technology. 2024 12(5):1340-1359.
Availability: International Journal of Education in Mathematics, Science and Technology. Necmettin Erbakan University, Ahmet Kelesoglu Education Faculty, Meram, Konya, 42090, Turkey. e-mail: ijermst@gmail.com; Web site: https://www.ijemst.net/index.php/ijemst/index
Peer Reviewed: Y
Page Count: 21
Publication Date: 2024
Document Type: Journal Articles
Reports - Research
Education Level: Higher Education
Postsecondary Education
Descriptors: Mathematics Achievement, Problem Solving, Mathematical Concepts, Mathematics Instruction, Calculators, Graphing Calculators, Technology Uses in Education, College Mathematics, Handheld Devices, Geometry, Engineering Education, Undergraduate Students, Undergraduate Study, Teaching Methods, Constructivism (Learning), Visual Aids, Instructional Effectiveness
ISSN: 2147-611X
Abstract: In this paper, we describe the influence of the implementation of methodology for teaching and learning multiple integrals based on the constructivist approach and the interconnectedness of multiple representations (with an emphasis on dynamic representations) for different mathematical objects using GeoGebra's applications Graphing Calculator and 3D Calculator. The empirical research was conducted at the University of Kragujevac, Serbia, with two groups (the experimental and the control groups) of second-year students. During the learning process of the experimental group, students created digital materials to visualize the domain of the integration for the concrete tasks, to set the integration bounds, to recognize in which situation they needed to introduce the switch of variables, and all that to solve double or triple integral problems. Students in the control group, on the other hand, didn't use technology of any kind, including the programs Graphing Calculator and 3D Calculator. The findings of the empirical study showed that students' use of these tools to create digital materials improved their academic achievement and their practical and theoretical knowledge of multiple integrals.
Abstractor: As Provided
Entry Date: 2024
Accession Number: EJ1452864
Database: ERIC
FullText Text:
  Availability: 0
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  Data: <searchLink fieldCode="AR" term="%22Aleksandar+Milenkovic%22">Aleksandar Milenkovic</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0001-6699-8772">0000-0001-6699-8772</externalLink>)<br /><searchLink fieldCode="AR" term="%22Ðurdica+Takaci%22">Ðurdica Takaci</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0002-6547-822X">0000-0002-6547-822X</externalLink>)<br /><searchLink fieldCode="AR" term="%22Radoslav+Božic%22">Radoslav Božic</searchLink> (ORCID <externalLink term="http://orcid.org/0000-0003-1128-8823">0000-0003-1128-8823</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22International+Journal+of+Education+in+Mathematics%2C+Science+and+Technology%22"><i>International Journal of Education in Mathematics, Science and Technology</i></searchLink>. 2024 12(5):1340-1359.
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  Data: International Journal of Education in Mathematics, Science and Technology. Necmettin Erbakan University, Ahmet Kelesoglu Education Faculty, Meram, Konya, 42090, Turkey. e-mail: ijermst@gmail.com; Web site: https://www.ijemst.net/index.php/ijemst/index
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  Data: In this paper, we describe the influence of the implementation of methodology for teaching and learning multiple integrals based on the constructivist approach and the interconnectedness of multiple representations (with an emphasis on dynamic representations) for different mathematical objects using GeoGebra's applications Graphing Calculator and 3D Calculator. The empirical research was conducted at the University of Kragujevac, Serbia, with two groups (the experimental and the control groups) of second-year students. During the learning process of the experimental group, students created digital materials to visualize the domain of the integration for the concrete tasks, to set the integration bounds, to recognize in which situation they needed to introduce the switch of variables, and all that to solve double or triple integral problems. Students in the control group, on the other hand, didn't use technology of any kind, including the programs Graphing Calculator and 3D Calculator. The findings of the empirical study showed that students' use of these tools to create digital materials improved their academic achievement and their practical and theoretical knowledge of multiple integrals.
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  Data: 2024
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  Data: EJ1452864
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    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
        StartPage: 1340
    Subjects:
      – SubjectFull: Mathematics Achievement
        Type: general
      – SubjectFull: Problem Solving
        Type: general
      – SubjectFull: Mathematical Concepts
        Type: general
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Calculators
        Type: general
      – SubjectFull: Graphing Calculators
        Type: general
      – SubjectFull: Technology Uses in Education
        Type: general
      – SubjectFull: College Mathematics
        Type: general
      – SubjectFull: Handheld Devices
        Type: general
      – SubjectFull: Geometry
        Type: general
      – SubjectFull: Engineering Education
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      – SubjectFull: Undergraduate Students
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      – SubjectFull: Teaching Methods
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      – SubjectFull: Constructivism (Learning)
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      – SubjectFull: Visual Aids
        Type: general
      – SubjectFull: Instructional Effectiveness
        Type: general
    Titles:
      – TitleFull: The Influence of Dynamic Representations in Mobile Applications on Students' Learning Achievements in Solving Multiple Integrals
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            NameFull: Aleksandar Milenkovic
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            NameFull: Ðurdica Takaci
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              Y: 2024
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            – TitleFull: International Journal of Education in Mathematics, Science and Technology
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