In this work, which deals with the implementation of recursive algorithms in programming education, especially in the context of high school education, we have considered how recursion as a concept can enrich students' understanding of algorithms. Through various examples, from merge sort, to algorithms for searching for an element in a list, to more complex problems such as coin distribution, finding the shortest path in a graph, and the traveling salesman problem, recursion manifests itself as a powerful tool for developing deep analytical skills. The advantages of using recursive algorithms in education are manifold; they provide a thorough approach to understanding the process of breaking a problem down into smaller sub-problems, strengthen conceptual thinking, and offer a sophisticated approach to programming through clean and efficient code. A functional understanding of recursion enables students to intuitively solve complex problems using approaches such as "divide and conquer," "greedy approach," and "backtracking." Through this work, we seek to demonstrate that recursion is not only appropriate but also crucial in modern computer science education, provided that challenges are carefully addressed and overcome through suitable lessons that stimulate intellectual curiosity and student development. The future of computer science education lies in empowering students to use these concepts not only as tools for solving given problems, but also as part of fundamental thinking within a broader spectrum of science and technology.