Mathematical logical thinking is fundamental in the cognitive and academic development of students, facilitating problem solving and critical reasoning. This article focused on the analysis of problem-based learning to enhance mathematical performance in eighth-year students. basic of the Educational Unit “San Cayetano” of Chone, a problem that currently arises in this educational institution, the following question arises how to strengthen mathematical logical thinking in these students. Traditional teaching methods are considered obstacles that limit the effectiveness of active strategies to strengthen mathematical logical thinking. An in-depth review of the existing literature on the key aspects of problem-based learning and mathematics teaching was carried out. This article aims to implement problem-based learning as an active strategy to strengthen mathematical logical thinking in 8th grade students. A mixed approach was used, combining qualitative and quantitative methods to evaluate how this strategy can improve mathematical logical thinking. In the students, the results obtained through the observation sheet showed us the lack of implementation of active strategies in terms of solving mathematical problems, in the same way a survey was applied to the students, being satisfactory, highlighting the positive impact of this learning. based on problems in academic results.
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