1. The new observation of mathematics pays more attention to the cultivation and expansion of students' mathematical thinking, involving more extensive mathematical knowledge and more flexible and diverse topics, while top-notch special training pays more attention to students' in-depth understanding and application of mathematical knowledge, and the topics tend to be more difficult mathematical knowledge and skills, requiring students to have a solid mathematical foundation and higher mathematical ability, so top-notch special training is more difficult.

2. Top-notch Special Training: Mathematics (Seventh Grade People's Education Edition) advocates the concept of synchronous optimization, which is completely matched with the corresponding version of the textbook and basically synchronized with the teaching hours.