This paper investigates teaching methods that leverage programming techniques to strengthen the understanding of partial ordering relations. Partial orders are vital in diverse domains, such as mathematics and economics. A comprehensive teaching framework is presented in this paper, incorporating standard programming languages to instruct partial order relations effectively. The approach integrates theoretical concepts, practical illustrations, and interactive programming exercises to enhance students' comprehension and application of partial order relations. Furthermore, the evaluation of teaching effectiveness and potential implications for computer science and mathematics education are discussed.