Implementing Project-Based Deep Learning to Enhance Reasoning Skills in Mathematical Logic

Abstract

 This study aims to develop and implement a project-based deep learning instructional model within the topic of mathematical logic to enhance students’ mathematical reasoning skills. The research employed a developmental approach using the ADDIE model (Analyze, Design, Develop, Implement, Evaluate). The participants were eleventh-grade high school students enrolled in a mathematical logic course. Data were collected through classroom observations, interviews, questionnaires, as well as pre-tests and post-tests of students’ logical reasoning abilities. The findings indicate that the project-based deep learning approach significantly enhanced students’ active engagement, supported deeper conceptual understanding, and encouraged logical and reflective thinking. Evaluation results showed a notable improvement in students’ mathematical reasoning abilities, with the average score increasing from 62.4 to 84.5, and the mastery learning rate rising from 45% to 89%. The study concludes that this approach is effective in teaching mathematical logic, fostering meaningful understanding, and developing higher-order thinking skills.