The dialogical approach has been introduced for studying mathematical classroom discourse in a growing body of studies conducted by researchers from the Nordic countries. However, since it is developed for analyzing human action, communication, and cognition in general, it is important to explicitly discuss how it could be developed and complemented for serving the purposes of mathematics education research. In this article I initiate such a discussion by drawing on theoretical analysis as well as my own experiences of using the dialogical approach. By relating it to a framework of criteria for research in mathematics education it is shown that the dialogical approach could be a useful tool for fulfilling several aspects of relevance for mathematics education research. The article concludes by suggesting further aspects that need to be discussed and elaborated on in the project of making it even more useful for understanding mathematical teaching and learning.