View in EDS

Exploring Additivity in Triangle Areas: Methodological Insights for Mathematics Education

Saved in:
Bibliographic Details
Title: Exploring Additivity in Triangle Areas: Methodological Insights for Mathematics Education
Language: English
Authors: Liudmyla Hetmanenko (ORCID 0009-0006-9601-3288)
Source: Educational Process: International Journal. Article e2025247 2025 16.
Availability: UNIVERSITEPARK Limited. iTOWER Plaza (No61, 9th floor) Merkez Mh Akar Cd No3, Sisli, Istanbul, Turkey 34382. e-mail: editor@edupij.com; Web site: http://www.edupij.com/
Peer Reviewed: Y
Page Count: 21
Publication Date: 2025
Document Type: Journal Articles
Reports - Research
Descriptors: Mathematics Education, Geometric Concepts, Addition, Mathematics Instruction, Teaching Methods, Instructional Effectiveness, Educational Technology, Mastery Learning, Mathematical Applications, Computer Software, Technology Integration, Computer Uses in Education, Computation, Mathematical Formulas
ISSN: 2147-0901
2564-8020
Abstract: Background/purpose: In modern mathematical education, it is important to develop students' ability to understand the fundamental properties of geometric objects deeply. This makes it relevant to study the additivity of the area of triangles as a property inherent in various kinds of quantities and ways of representing it methodologically in the process of teaching mathematics. This article aims to define the theoretical basis and form methodological approaches to the study of the additivity of the area of triangles. Materials/methods: In the course of the study, literature sources were synthesized to form the theoretical foundations of the additivity of triangle areas, a comparative analysis was carried out to compare different digital platforms for visualizing educational materials in mathematics education, and a pedagogical experiment was conducted to determine the effectiveness of the methodological approach in teaching the additivity of triangle areas to students of mathematical specialities. Results: In the control group, the average value of the final grades was Mean= 8.091, while in the experimental group the average score was Mean = 9.455; therefore, students who studied according to the improved methodology have a relatively higher level compared to traditional methods, which confirms the expediency of using digital tools in the educational process, which contributes to better learning and reduces the variance of student performance. Conclusion: The use of interactive methods contributes to a more systematic mastery of the concept of additivity in the area of triangles, which has further application in the study of the principles of geometric additivity and related topics.
Abstractor: As Provided
Entry Date: 2025
Accession Number: EJ1483155
Database: ERIC
FullText Text:
  Availability: 0
CustomLinks:
  – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=EJ1483155
    Name: ERIC Full Text
    Category: fullText
    Text: Full Text from ERIC
Header DbId: eric
DbLabel: ERIC
An: EJ1483155
AccessLevel: 3
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Exploring Additivity in Triangle Areas: Methodological Insights for Mathematics Education
– Name: Language
  Label: Language
  Group: Lang
  Data: English
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Liudmyla+Hetmanenko%22">Liudmyla Hetmanenko</searchLink> (ORCID <externalLink term="https://orcid.org/0009-0006-9601-3288">0009-0006-9601-3288</externalLink>)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="SO" term="%22Educational+Process%3A+International+Journal%22"><i>Educational Process: International Journal</i></searchLink>. Article e2025247 2025 16.
– Name: Avail
  Label: Availability
  Group: Avail
  Data: UNIVERSITEPARK Limited. iTOWER Plaza (No61, 9th floor) Merkez Mh Akar Cd No3, Sisli, Istanbul, Turkey 34382. e-mail: editor@edupij.com; Web site: http://www.edupij.com/
– Name: PeerReviewed
  Label: Peer Reviewed
  Group: SrcInfo
  Data: Y
– Name: Pages
  Label: Page Count
  Group: Src
  Data: 21
– Name: DatePubCY
  Label: Publication Date
  Group: Date
  Data: 2025
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: Journal Articles<br />Reports - Research
– Name: Subject
  Label: Descriptors
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Mathematics+Education%22">Mathematics Education</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+Concepts%22">Geometric Concepts</searchLink><br /><searchLink fieldCode="DE" term="%22Addition%22">Addition</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Teaching+Methods%22">Teaching Methods</searchLink><br /><searchLink fieldCode="DE" term="%22Instructional+Effectiveness%22">Instructional Effectiveness</searchLink><br /><searchLink fieldCode="DE" term="%22Educational+Technology%22">Educational Technology</searchLink><br /><searchLink fieldCode="DE" term="%22Mastery+Learning%22">Mastery Learning</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Applications%22">Mathematical Applications</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+Software%22">Computer Software</searchLink><br /><searchLink fieldCode="DE" term="%22Technology+Integration%22">Technology Integration</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+Uses+in+Education%22">Computer Uses in Education</searchLink><br /><searchLink fieldCode="DE" term="%22Computation%22">Computation</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Formulas%22">Mathematical Formulas</searchLink>
– Name: ISSN
  Label: ISSN
  Group: ISSN
  Data: 2147-0901<br />2564-8020
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Background/purpose: In modern mathematical education, it is important to develop students' ability to understand the fundamental properties of geometric objects deeply. This makes it relevant to study the additivity of the area of triangles as a property inherent in various kinds of quantities and ways of representing it methodologically in the process of teaching mathematics. This article aims to define the theoretical basis and form methodological approaches to the study of the additivity of the area of triangles. Materials/methods: In the course of the study, literature sources were synthesized to form the theoretical foundations of the additivity of triangle areas, a comparative analysis was carried out to compare different digital platforms for visualizing educational materials in mathematics education, and a pedagogical experiment was conducted to determine the effectiveness of the methodological approach in teaching the additivity of triangle areas to students of mathematical specialities. Results: In the control group, the average value of the final grades was Mean= 8.091, while in the experimental group the average score was Mean = 9.455; therefore, students who studied according to the improved methodology have a relatively higher level compared to traditional methods, which confirms the expediency of using digital tools in the educational process, which contributes to better learning and reduces the variance of student performance. Conclusion: The use of interactive methods contributes to a more systematic mastery of the concept of additivity in the area of triangles, which has further application in the study of the principles of geometric additivity and related topics.
– Name: AbstractInfo
  Label: Abstractor
  Group: Ab
  Data: As Provided
– Name: DateEntry
  Label: Entry Date
  Group: Date
  Data: 2025
– Name: AN
  Label: Accession Number
  Group: ID
  Data: EJ1483155
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ1483155
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
    Subjects:
      – SubjectFull: Mathematics Education
        Type: general
      – SubjectFull: Geometric Concepts
        Type: general
      – SubjectFull: Addition
        Type: general
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Teaching Methods
        Type: general
      – SubjectFull: Instructional Effectiveness
        Type: general
      – SubjectFull: Educational Technology
        Type: general
      – SubjectFull: Mastery Learning
        Type: general
      – SubjectFull: Mathematical Applications
        Type: general
      – SubjectFull: Computer Software
        Type: general
      – SubjectFull: Technology Integration
        Type: general
      – SubjectFull: Computer Uses in Education
        Type: general
      – SubjectFull: Computation
        Type: general
      – SubjectFull: Mathematical Formulas
        Type: general
    Titles:
      – TitleFull: Exploring Additivity in Triangle Areas: Methodological Insights for Mathematics Education
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Liudmyla Hetmanenko
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 2147-0901
            – Type: issn-electronic
              Value: 2564-8020
          Numbering:
            – Type: volume
              Value: 16
          Titles:
            – TitleFull: Educational Process: International Journal
              Type: main
ResultId 1