Parallels between martial arts and mathematics are explored. Misguided public perception of both disciplines, students’ misconceptions, and the similarities between proofs and katas are among the striking commonalities between martial arts and mathematics. The author also reflects on what he has learned in his martial arts training, and how this wisdom influences his mathematics teaching. As a result of his martial arts training, his awareness of how he teaches mathematics has shifted, and his understanding of his students’ struggles has deepened. Finding the balance between theory and practice enhances the process of learning for both students and teacher.