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Enhancing student performance in mathematics through concrete-representational-abstract (CRA) approach

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  • Enhancing student performance in mathematics through concrete-representational-abstract (CRA) approach

Ellen Grace Pioquinto Bernadez * and Jennifer Medrano Montero

Department of Graduate Studies, North Eastern Mindanao State University (NEMSU), Philippines.

Research Article

International Journal of Science and Research Archive, 2025, 14(03), 1732-1738

Article DOI: 10.30574/ijsra.2025.14.3.0887

DOI url: https://doi.org/10.30574/ijsra.2025.14.3.0887

Received on 18 February 2025; revised on 29 March 2025; accepted on 31 March 2025

This study examines the effectiveness of the Concrete-Representational-Abstract (CRA) approach, grounded in Jerome Bruner’s cognitive development theory, in enhancing students’ performance among Grade 7 students at St. Christine National High School, Lianga, Surigao del Sur, Philippines. Using a quasi-experimental design, two groups—experimental (CRA) and control (conventional approach)—were assessed via pre- and post-tests on operations of integers, simplifying numerical expressions, and identifying the absolute value of an integer and its meaning. The CRA group progressed through three stages: hands-on manipulatives (concrete), visual representations (representational), and symbolic problem-solving (abstract), while the control group received traditional/conventional approach. Initial pre-test scores were comparable (Control: M = 15.22, SD = 3.97; Experimental: M = 15.75, SD = 5.02), but post-tests revealed a marked divergence: the experimental group achieved a mean score of 24.22 (SD = 6.62), reflecting an 8.47-point improvement, whereas the control group scored 21.28 (SD = 8.73), with a 6.06-point gain. This 39.8% greater improvement in the CRA group underscores its efficacy in fostering deeper conceptual mastery and reducing performance variability, attributed to structured scaffolding that bridges tangible experiences to abstract reasoning. The results demonstrate the effectiveness of the CRA approach in improving Grade 7 learners' mathematics performance, underscoring its value in enhancing mathematics education and addressing educational challenges faced by Filipino learners.

Concrete-Representational-Abstract (CRA) Approach; Students’ Performance; Filipino

https://journalijsra.com/sites/default/files/fulltext_pdf/IJSRA-2025-0887.pdf

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Ellen Grace Pioquinto Bernadez and Jennifer Medrano Montero. Enhancing student performance in mathematics through concrete-representational-abstract (CRA) approach. International Journal of Science and Research Archive, 2025, 14(03), 1732-1738. Article DOI: https://doi.org/10.30574/ijsra.2025.14.3.0887.

Copyright © 2025 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution Liscense 4.0

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