Fixed sentence pattern in mathematics is a term, especially some sentence patterns used in various mathematical theorems or proofs. These sentence patterns are usually very concise, can express many mathematical concepts, and are easy to remember and apply. Common fixed sentence patterns include lemma, definition, proposition, reasoning, theorem and so on.

Fixed sentence patterns are widely used in mathematics education. In teaching, fixed sentence patterns can help students remember and understand various mathematical concepts and improve their ability to prove and solve problems. In addition, the application of fixed sentence patterns can make students organize their thinking more orderly and improve their mathematical expression and logical thinking ability.

With the continuous development of mathematics, fixed sentence patterns are also constantly innovating and developing. In the emerging fields of mathematics such as topology and algebra, researchers are also exploring new fixed sentence patterns to express mathematical concepts and methods in new fields. The development of fixed sentence patterns makes mathematics more accurate and rigorous, at the same time, it also promotes the continuous improvement of mathematics education and helps learners better understand and apply mathematics knowledge.