RUME 27
2025
Alexandria, Virginia
Logical Reasoning in Probability: Further Investigation Into Students’ Beliefs About the Relationship Between Covariance and Independence
Page: 714
In many undergraduate math courses, students are expected to interpret and use conditional statements without prior training in logical inference. In this paper we report on a portion of the third phase of a project exploring students' interpretations of a conditional statement in Probability relating covariance and independence. Specifically, we discuss the coding and analyzing of student written work in class and on assessments. We explain how this work was influenced by prior phases of the study. Quantitative results show no statistical difference between responses of students with and without prior training in logic. We do, however, see differences in students’ responses overall as the semester progresses.