This review paper examines the effectiveness of origami as a pedagogical tool for teaching geometric concepts in comparison to traditional instructional methods. Geometry is often perceived as abstract and difficult for students to grasp through conventional approaches that rely heavily on definitions and rote learning. In response, educators have explored origami as a hands-on and visual strategy to enhance understanding. This paper analyses multiple teaching approaches that incorporate origami, including algorithmic instruction, language-based methods, collaborative learning, and problem-solving frameworks. The findings suggest that origami can significantly improve conceptual understanding, spatial reasoning, and student engagement when implemented with clear pedagogical intent. In particular, approaches that integrate discussion, reasoning, and mathematical language are found to be the most effective. However, the review also identifies limitations, including the lack of long-term empirical evidence and the dependence on teacher expertise. Overall, origami emerges as a flexible and powerful instructional tool that, when thoughtfully applied, can make geometry more accessible, interactive, and meaningful for learners.