1, teaching methods and styles: Hu Yuan adopted innovative and heuristic teaching methods and styles, focusing on cultivating students' thinking ability and problem-solving ability, while Ge Yong's mathematics teaching methods are rather old-fashioned and boring.

2. Teaching content and difficulty: Hu Yuan's mathematics teaching course covers rich and in-depth mathematical knowledge, involving not only basic knowledge, but also some expansion and application content, while Ge Yong's mathematics involves a narrow range of mathematical knowledge.