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A sign-in routine using pocket charts primarily supports the concept of one-to-one correspondence. This concept involves pairing items so that each item in one set is matched with exactly one item in another set, which is fundamental for early mathematical understanding. When children sign in using a pocket chart, they typically place their name or marker in a designated spot, demonstrating that each child corresponds to a unique sign-in space. This helps learners grasp the idea of counting accurately, as they can visually and physically engage in pairing their name with the slots available, reinforcing the principle that each element should be counted once.

The other choices, while significant in their own right, do not focus as closely on the fundamental idea of matching one entity to another. For example, concepts like greater than and less than, numerical operations, and addition and subtraction typically come into play at a later stage of mathematical development, where learners already have a grasp of basic counting and correspondence. Thus, while they are vital components of math education, the sign-in routine is most directly tied to understanding one-to-one correspondence.