Interactive digital tool based on Karnaugh maps to improve mastery of Boolean algebra in Computer Engineering at Instituto Tecnológico de Tizimín, Mexico
Keywords:
engineering, higher education, information technology, mathematical logicAbstract
Low academic performance has been observed among students taking the Discrete Mathematics course at Instituto Tecnológico de Tizimín, particularly in the topic of Boolean Algebra. During the August–December 2023 and August–December 2024 semesters, failure rates of 46% and 53% were recorded, respectively. The objective of this study was to evaluate the implementation of an interactive digital tool based on Karnaugh maps to improve mastery of Boolean expression simplification and reduce problem-solving time among Computer Engineering students at this Institute. The study followed a quantitative approach, with a descriptive scope and a pre-experimental design. The tool was implemented through the administration of pretest and posttest instruments to 28 second-semester Computer Engineering students enrolled in Discrete Mathematics during the January–June 2026 semester. The descriptive results showed mean scores of 13 points and 19.54 points on the pretest and posttest, respectively, out of a total of 20 points, representing an increase in mastery from 65% to 97.7% in Boolean expression simplification. Regarding problem-solving time, the average values were 59 minutes for the pretest and 27 minutes for the posttest. In conclusion, these results demonstrate that the implemented tool improved mastery of the topic and reduced problem-solving time, suggesting that the use of digital tools can support the teaching and learning process of abstract engineering content.
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