Beyond the Algorithm: Strengthening Logical Reasoning in Fifth-Grade Primary School Students

Authors

DOI:

https://doi.org/10.62697/rmiie.v5i3.404

Keywords:

Problem-solving, heuristic strategies, mathematical thinking, Didactic strategies, action research

Abstract

This action research study emerged from the identification of a phenomenon of "empty mechanization" among fifth-grade students, who demonstrated proficiency in performing arithmetic algorithms but were unable to apply them effectively to problem-solving situations. The study aimed to evaluate how the implementation of heuristic strategies based on Polya’s four-step method facilitates the transition toward reflective and autonomous mathematical thinking. Grounded in a socio-critical paradigm, a four-cycle intervention plan was implemented, focusing on reading comprehension, graphical representation, and metacognition. Data collection instruments included field journals, assessment rubrics, and process-based tests. The findings revealed significant progress, with success rates in solving complex problems increasing from 20% to 65%. It was concluded that semantic analysis and visualization are critical determinants of technical success in mathematical problem solving. Furthermore, the results highlight the teacher’s role as a facilitator of inquiry and reflection, aligning with the critical thinking principles promoted by the New Mexican School model. This approach transforms the classroom into a space that prioritizes autonomy and logical analysis over procedural speed.

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Author Biography

Dolores Aide Balboa–Melendez, Secretaría de Educación Pública. México.

 

 

References

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Published

2026-06-26

How to Cite

Balboa–Melendez, D. A., & Terán-Treviño, S. A. (2026). Beyond the Algorithm: Strengthening Logical Reasoning in Fifth-Grade Primary School Students. Revista Mexicana De Investigación E Intervención Educativa, 5(3), 197–206. https://doi.org/10.62697/rmiie.v5i3.404

Issue

Vol. 5 No. 3 (2026): Aprender para transformar: nuevas perspectivas de la educación contemporánea (julio-septiembre)

Section

Artículos

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Copyright (c) 2026 Dolores Aide Balboa–Melendez, Sergio Antonio Terán-Treviño

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