A Baire class-one (or simply Baire-one) function $f : X \rightarrow \mathbb{R}$ is a function that can be expressed as the pointwise limit of a sequence of continuous functions on a topological space $X$. It is well known that the collection $B_1(X)$ of all Baire-one functions forms an overring of the ring $C(X)$ of continuous functions. Although $B_1(X)$ has resemblances with $C(X)$ in its algebraic behaviour, it exhibits substantial differences, particularly when endowed with topologies analogous to those commonly considered on $C(X)$. The objective of this paper is to discuss $B_1(X)$ from topological perspective and observe the behaviour of $C(X)$ as its subspace.