Docker socket mounting means sharing the Docker daemon's communication file from the host into a container. When Jenkins runs inside a container, it cannot control Docker on the host unless it has access to the Docker socket file. By mounting /var/run/docker.sock from the host into the Jenkins container, Jenkins can send Docker commands directly to the host's Docker daemon. This allows Jenkins to create, list, and manage containers on the host as if it was running Docker commands locally. The execution steps show starting Jenkins without the socket (no Docker control), then mounting the socket, running Docker commands successfully, and finally stopping Jenkins which removes Docker control. Variables track the socket mount status and containers on the host. Key moments clarify why mounting is needed and the security implications. The quiz tests understanding of when Docker commands succeed and the effect of mounting the socket.