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Senior high school students’ competence in logical operation and logical reasoning

Bibliographic Data

ID22164654
AuthorsKodirun Kodirun (Universitas Halu Oleo, corresponding author), Kadir Kadir (0000-0001-9179-2629, Universitas Halu Oleo), Busnawir Busnawir (Universitas Halu Oleo), Wa Ode Indrawati (Universitas Halu Oleo)
Year2025
Volume10
Publication date2025-06-18
Open AccessYes
TypeARTICLE
VenueFrontiers in Education (JOURNAL)
Journal identifiersISSN: 2504-284X • E-ISSN: 2504-284X
PublisherFrontiers Media SA (PUBLISHER • CH)
DOI10.3389/feduc.2025.1493737
OpenAlexW4411397130
LanguageEN
References cited39

The research suggests that the framework of logical operations and inference patterns remains unfinished even in adulthood. While various logical models exist beyond the classical true-or-false reasoning model, secondary school students must primarily understand and apply classical reasoning rules. In mathematics, proof, reasoning, and refutation are essential due to the frequent use of logical operations in the subject. This study assessed general logical knowledge and operations within mathematical contexts through classroom tests involving 448 students from 10 public schools and four vocational schools. The students performed best on tasks requiring correct conclusions (69.02%), followed by interpreting “at most”/”at least” (63.41%), with the lowest success rate in negation tasks (29.91%), including negating “at least,” “exists,” and “for every”. The results reveal that accurate interpretation was not dominant across all logical operations for these students. Students performed best on geometric problems (70.05%), followed by algebra, statistics, and calculus problems, with the lowest success rate in calculus-related logical problems (28.04%). Statistical tests showed no significant gender differences in performance; however, according to human capital theory, students with teachers as parents performed significantly better

Deductive reasoning · Inference · Logical conjunction · Logical consequence · Logical reasoning · Mathematics education · Negation · Programming language · Cognitive and developmental aspects of mathematical skills · Computer Science · Educational Strategies and Epistemologies · Mathematics · Mathematics Education and Teaching Techniques · Medicine · Psychology · Social Psychology · Artificial Intelligence

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