This paper summarizes my contribution to the plenary panel discussion Big Questions in Mathematics Education and focuses on the role of algorithms in mathematics education. Mathematics and computer science are interrelated from their substance. They share several common concepts including the algorithms, but the way they work with them differ among the two disciplines. Algorithms provide an additional dimension to mathematical knowledge, the deep procedural knowledge. Involvement of coding and work with algorithms in mathematics instruction seems to be a promising activity bridging the two disciplinary approaches. The questions: (i) how the work with algorithms contributes to students' learning and (ii) how to prepare teachers for this kind of activities should be investigated.