David L. Farnsworth has written an article called Student presentations in the classroom. The article was published in International Journal of Mathematical Education in Science and Technology today. Here is the abstract:

For many years, the author has been involving his students in classroom
teaching of their own classes. The day-to-day practice is described,
and the advantages and disadvantages for both the instructor and the
students are discussed. Comparisons with the Moore Method of teaching
are made.