Exploring Conceptual and Procedural Understanding of Fractions in Schools

This review examines students’ conceptual understanding (CU) and procedural knowledge (PK) of fractions, highlighting their interdependent relationship and their role in mathematical development. By synthesizing research conducted over the past five years, the study seeks to develop a comprehensive framework that can inform instructional practices, assessment approaches, and future research directions in mathematics education. The methodology is based on a systematic selection and analysis of relevant studies, allowing for the identification of significant individual differences in students’ mathematical thinking and learning patterns. The findings emphasize the importance of pedagogical approaches that effectively balance CU with procedural fluency, as both are essential for meaningful learning. Implications are discussed in relation to curriculum design, teacher education, and the development of targeted instructional interventions. Furthermore, the review contributes to the expanding field of precision education by supporting the need for personalized learning pathways that respond to students’ diverse cognitive profiles. Overall, the study underlines the importance of integrating research evidence into practice to enhance students’ mathematical performance and confidence.