View in EDS

EFA and CFA Analysis: Development and Validation of a Test Instrument for Mathematical Abstraction Skills

Saved in:
Bibliographic Details
Title: EFA and CFA Analysis: Development and Validation of a Test Instrument for Mathematical Abstraction Skills
Language: English
Authors: Dwi Rismi Ocy, Iva Sarifah, Riyadi
Source: Journal of Research and Advances in Mathematics Education. 2025 10(2):101-119.
Availability: Universitas Muhammadiyah Surakarta Department of Education. Ahmad Yani Street, Pabelan Kartasura, Surakarta, Central Java, 57162 Indonesia. Tel: +62-271-717417 ext. 2554; e-mail: jramathedu@ums.ac.id; Web site: https://journals2.ums.ac.id/index.php/jramathedu
Peer Reviewed: Y
Page Count: 19
Publication Date: 2025
Document Type: Journal Articles
Reports - Research
Education Level: High Schools
Secondary Education
Descriptors: Abstract Reasoning, Mathematics Tests, Mathematics Instruction, Mathematics Teachers, Content Validity, Factor Analysis, Test Items, Specialists, Test Validity, Test Reliability, Outcomes of Education, High School Teachers, Foreign Countries
Geographic Terms: Indonesia
ISSN: 2503-3697
2541-2590
Abstract: Mathematical abstraction skills are fundamental for advanced reasoning and problem-solving, yet assessing these skills in senior high school students poses challenges due to limited validated instruments. This study aims to develop and validate a test instrument for measuring mathematical abstraction skills in Indonesian high school students. The instrument targets three hierarchical cognitive levels: perceptual abstraction, internalization, and interiorization. A quantitative approach was used, involving Exploratory and Confirmatory Factor Analysis (EFA and CFA) to establish construct validity. Content validity was first evaluated by 17 mathematics educators using Aiken's V index, followed by expert judgment from five specialists. A field test with 507 students provided the dataset for analysis. Findings from EFA and CFA confirmed that the instrument exhibited strong construct validity and reliability, with clear alignment between items and the targeted abstraction levels. The internal consistency metrics demonstrated the instrument's ability to reliably assess mathematical abstraction across cognitive hierarchies. This validated tool contributes to mathematics education by providing a reliable means for assessing abstraction skills, facilitating improvements in instructional strategies and student evaluations. Its potential applications extend to educational research and classroom assessments, offering educators insights into students' reasoning processes to support deeper learning outcomes.
Abstractor: As Provided
Entry Date: 2025
Accession Number: EJ1480707
Database: ERIC
FullText Text:
  Availability: 0
CustomLinks:
  – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=EJ1480707
    Name: ERIC Full Text
    Category: fullText
    Text: Full Text from ERIC
Header DbId: eric
DbLabel: ERIC
An: EJ1480707
AccessLevel: 3
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: EFA and CFA Analysis: Development and Validation of a Test Instrument for Mathematical Abstraction Skills
– Name: Language
  Label: Language
  Group: Lang
  Data: English
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Dwi+Rismi+Ocy%22">Dwi Rismi Ocy</searchLink><br /><searchLink fieldCode="AR" term="%22Iva+Sarifah%22">Iva Sarifah</searchLink><br /><searchLink fieldCode="AR" term="%22Riyadi%22">Riyadi</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="SO" term="%22Journal+of+Research+and+Advances+in+Mathematics+Education%22"><i>Journal of Research and Advances in Mathematics Education</i></searchLink>. 2025 10(2):101-119.
– Name: Avail
  Label: Availability
  Group: Avail
  Data: Universitas Muhammadiyah Surakarta Department of Education. Ahmad Yani Street, Pabelan Kartasura, Surakarta, Central Java, 57162 Indonesia. Tel: +62-271-717417 ext. 2554; e-mail: jramathedu@ums.ac.id; Web site: https://journals2.ums.ac.id/index.php/jramathedu
– Name: PeerReviewed
  Label: Peer Reviewed
  Group: SrcInfo
  Data: Y
– Name: Pages
  Label: Page Count
  Group: Src
  Data: 19
– Name: DatePubCY
  Label: Publication Date
  Group: Date
  Data: 2025
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: Journal Articles<br />Reports - Research
– Name: Audience
  Label: Education Level
  Group: Audnce
  Data: <searchLink fieldCode="EL" term="%22High+Schools%22">High Schools</searchLink><br /><searchLink fieldCode="EL" term="%22Secondary+Education%22">Secondary Education</searchLink>
– Name: Subject
  Label: Descriptors
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Abstract+Reasoning%22">Abstract Reasoning</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Tests%22">Mathematics Tests</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Instruction%22">Mathematics Instruction</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics+Teachers%22">Mathematics Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Content+Validity%22">Content Validity</searchLink><br /><searchLink fieldCode="DE" term="%22Factor+Analysis%22">Factor Analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Test+Items%22">Test Items</searchLink><br /><searchLink fieldCode="DE" term="%22Specialists%22">Specialists</searchLink><br /><searchLink fieldCode="DE" term="%22Test+Validity%22">Test Validity</searchLink><br /><searchLink fieldCode="DE" term="%22Test+Reliability%22">Test Reliability</searchLink><br /><searchLink fieldCode="DE" term="%22Outcomes+of+Education%22">Outcomes of Education</searchLink><br /><searchLink fieldCode="DE" term="%22High+School+Teachers%22">High School Teachers</searchLink><br /><searchLink fieldCode="DE" term="%22Foreign+Countries%22">Foreign Countries</searchLink>
– Name: Subject
  Label: Geographic Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Indonesia%22">Indonesia</searchLink>
– Name: ISSN
  Label: ISSN
  Group: ISSN
  Data: 2503-3697<br />2541-2590
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Mathematical abstraction skills are fundamental for advanced reasoning and problem-solving, yet assessing these skills in senior high school students poses challenges due to limited validated instruments. This study aims to develop and validate a test instrument for measuring mathematical abstraction skills in Indonesian high school students. The instrument targets three hierarchical cognitive levels: perceptual abstraction, internalization, and interiorization. A quantitative approach was used, involving Exploratory and Confirmatory Factor Analysis (EFA and CFA) to establish construct validity. Content validity was first evaluated by 17 mathematics educators using Aiken's V index, followed by expert judgment from five specialists. A field test with 507 students provided the dataset for analysis. Findings from EFA and CFA confirmed that the instrument exhibited strong construct validity and reliability, with clear alignment between items and the targeted abstraction levels. The internal consistency metrics demonstrated the instrument's ability to reliably assess mathematical abstraction across cognitive hierarchies. This validated tool contributes to mathematics education by providing a reliable means for assessing abstraction skills, facilitating improvements in instructional strategies and student evaluations. Its potential applications extend to educational research and classroom assessments, offering educators insights into students' reasoning processes to support deeper learning outcomes.
– 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: EJ1480707
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=EJ1480707
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 19
        StartPage: 101
    Subjects:
      – SubjectFull: Abstract Reasoning
        Type: general
      – SubjectFull: Mathematics Tests
        Type: general
      – SubjectFull: Mathematics Instruction
        Type: general
      – SubjectFull: Mathematics Teachers
        Type: general
      – SubjectFull: Content Validity
        Type: general
      – SubjectFull: Factor Analysis
        Type: general
      – SubjectFull: Test Items
        Type: general
      – SubjectFull: Specialists
        Type: general
      – SubjectFull: Test Validity
        Type: general
      – SubjectFull: Test Reliability
        Type: general
      – SubjectFull: Outcomes of Education
        Type: general
      – SubjectFull: High School Teachers
        Type: general
      – SubjectFull: Foreign Countries
        Type: general
      – SubjectFull: Indonesia
        Type: general
    Titles:
      – TitleFull: EFA and CFA Analysis: Development and Validation of a Test Instrument for Mathematical Abstraction Skills
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Dwi Rismi Ocy
      – PersonEntity:
          Name:
            NameFull: Iva Sarifah
      – PersonEntity:
          Name:
            NameFull: Riyadi
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 2503-3697
            – Type: issn-electronic
              Value: 2541-2590
          Numbering:
            – Type: volume
              Value: 10
            – Type: issue
              Value: 2
          Titles:
            – TitleFull: Journal of Research and Advances in Mathematics Education
              Type: main
ResultId 1