sheaves associated to modules

Let $A$ be a ring. Then we have learned that for each $A$-module $M$, there exists a module $\tilde M$ associated to it. By using tensor product, we may express this sheaf as follows.

$$\tilde{M}\cong \mathcal{O}_X \otimes_A M$$

To avoid confusion, we prefer the expression $\mathcal{O}_X \otimes_A M$ for the later discussions.