Full Idea
Structuralism has emerged from the development of abstract algebra (such as group theory), the creation of axiom systems, the introduction of set theory, and Bourbaki's encyclopaedic survey of set theoretic structures.
Clarification
[Bourbaki is a notably unusual mathematician - worth investigating!]
Gist of Idea
Structuralism emerged from abstract algebra, axioms, and set theory and its structures
Source
E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §2)
A Reaction
In other words, mathematics has gradually risen from one level of abstraction to the next, so that mathematical entities like points and numbers receive less and less attention, with relationships becoming more prominent.