Abstract: In this interview, Professor Louise Wilkinson, an internationally renowned expert in mathematical linguistics, analyzed the frontiers of mathematical register in mathematics learning. Mathematics has its unique professional language system. It is a very important ability for students to give correct and reasonable expression in the context of mathematics. It includes not only the oral language, but also the written language. Mathematics learning is a system based on multivariate representation, so teachers should provide with students with sufficient opportunities to use their own mathematical register in teaching, and these expressions offer teachers some insights into the students' understanding of mathematics.

Key words: Louise Wilkinson, mathematical register, mathematics learning, frontier research