Using inquiry-based learning approach in the teaching process of divisibility rules

The aim of this study is to reveal the impact of Inquiry-Based Learning (IBL) on students’ ability to come up with the rules of divisibility themselves and on their academic achievement in the 8th grade Mathematics course as well as to obtain students’ views on the learning and teaching process, through the use of a mixed-methods sequential explanatory design. The quantitative part of the study was composed of a one-group pre-test–post-test design, while the qualitative part involved a case study design. The sample group consisted of 20 students studying in the 8th grade of a secondary school in the 2020/21 academic year. At the end of the procedure, interviews were held with four students. The relevant data analysis indicated that the students’ level of readiness regarding the divisibility rules was not at a sufficient level, and that the difference between the pre-test and post-test scores was statistically significant with a high positive effect size on the students’ academic achievement. The results based on student views revealed that the rules forgotten due to memorization turned out to become permanent with the use of the IBL activities for learning the divisibility rules, that the students understood the subject matter better, that they came up with the divisibility rules themselves during the implementation of the activities, and that they enjoyed such a learning process.