Plane Settings of the Matched $z$-transform Method

I've come across that the matched $$z$$-transform maps poles of the $$s$$-plane design to locations in the $$z$$-plane. My question is, what is the $$s$$-plane and what does this mean? I'm aware that the variable $$s$$ can often be used to denote the complex plane but the fact that this has been used in conjunction with the $$z$$ variable has confused me slightly.

The $$s$$-plane is the complex plane associated with the Laplace transform, i.e., with transfer functions of continuous-time systems, whereas the $$z$$-plane is the complex plane associated with the $$\mathcal{Z}$$-transform, i.e., with transfer functions of discrete-time systems. The matched $$Z$$-transform is one way of transforming continuous-time systems to discrete-time systems.