Teaching GRE Physics effectively involves a comprehensive methodology focused on developing both conceptual understanding and problem-solving skills. Begin by covering foundational topics such as mechanics, electromagnetism, thermodynamics, quantum mechanics, and optics through clear explanations and illustrative examples. Utilize interactive demonstrations, simulations, and hands-on experiments where possible to enhance understanding of theoretical concepts and their practical applications. Incorporate problem-solving sessions with a variety of GRE-style questions to familiarize students with exam format and develop proficiency in applying physics principles to solve complex problems.