Mathematical Reasoning Confidence and Problem-Solving Engagement among Grade 6 Learners
DOI:
https://doi.org/10.5281/zenodo.21424764Keywords:
Grade 6 learners, mathematical reasoning, mathematics confidence, problem-solving engagement, robust regression, self-efficacyAbstract
This study investigated the relationship between mathematical reasoning confidence and problem-solving engagement among Grade 6 learners at Carikkikan Elementary School, City of Ilagan, Isabela. It employed a cross-sectional relational-predictive survey design using validated scales on mathematical reasoning confidence and problem-solving engagement. All eligible Grade 6 learners were invited through census sampling. Data were analyzed using the median, interquartile range, Spearman’s rank-order correlation with bias-corrected and accelerated bootstrap confidence intervals, and Theil-Sen robust regression. Results showed that learners generally demonstrated high mathematical reasoning confidence and problem-solving engagement. However, moderate levels were observed in explaining and justifying solutions, persisting during mathematical reasoning, communicating mathematical ideas, and continuing after an unsuccessful attempt. Mathematical reasoning confidence was significantly and positively related to problem-solving engagement, with persistence in reasoning showing the strongest association. Robust regression further indicated that mathematical reasoning confidence significantly predicted problem-solving engagement and accounted for a meaningful proportion of its variation. The findings suggest that learners who trusted their capacity to interpret problems, choose strategies, justify answers, and continue through difficulty were more likely to participate actively and persistently in mathematical tasks. Mathematics instruction should therefore provide sustained opportunities for explanation, strategy comparison, error analysis, solution revision, guided questioning, and collaborative problem solving. Strengthening both reasoning confidence and engagement may help Grade 6 learners approach challenging mathematical tasks with greater assurance, effort, and persistence.
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