BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application

COMBINATION OF CONTENT VALIDITY INDEX AND FUZZY DELPHI FOR EXPERT VALIDATION OF A THREE-TIER MATHEMATICS LEARNING DIFFICULTIES DIAGNOSTIC ASSESSMENT

Khaerun Nisa (Educational Research and Evaluation Program, Graduate School, Universitas Negeri Jakarta, Indonesia)
Iva Sarifah (Educational Research and Evaluation Program, Graduate School, Universitas Negeri Jakarta, Indonesia)
Riyadi Riyadi (Educational Research and Evaluation Program, Graduate School, Universitas Negeri Jakarta, Indonesia)



Article Info

Publish Date
24 Aug 2026

Abstract

The persistent challenges in identifying mathematics learning difficulties require diagnostic instruments that are not only valid but also capable of accurately capturing students’ conceptual understanding, reasoning, and confidence. This study aims to compare the Content Validity Index (CVI) and the Fuzzy Delphi Method (FDM) in expert validation of a three-tier diagnostic assessment for mathematics learning difficulties. Theoretically, the study integrates classical content validation theory with fuzzy logic-based expert consensus analysis to strengthen the methodological rigor of instrument development. The research involved five doctoral-level experts who evaluated 21 diagnostic items. The CVI results yielded an excellent S-CVI/Ave value of 0.97, indicating high content validity, while the FDM results confirmed 20 of 21 items met the validity thresholds (d ≤ 0.2, consensus ≥ 75%, A ≥ 0.5). A key finding shows that the CVI provides clear numerical validation, whereas the FDM captures linguistic uncertainty and confidence variations among experts, producing a more comprehensive validation outcome. The integration of both methods offers a robust framework for expert validation that enhances interpretive depth and accuracy. This study contributes to the field of mathematics education by presenting a validated, reliable, and pedagogically meaningful diagnostic instrument for identifying students’ misconceptions and reasoning patterns.

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Journal Info

Abbrev

barekeng

Publisher

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...