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