The Dock on Multiple Displays

In Mavericks, the Dock can automatically appear on a secondary display if you drag your mouse to the bottom of the screen on the secondary monitor (this will cause the Dock to switch displays from the primary display).

Unfortunately, this can get annoying if you’re not used to this behavior. A simple fix is to move your Dock on the primary display to one of the sides (left or right). When the Dock is positioned on the side of the screen, it will not jump between displays. You can change the positioning of the Dock in System Preferences > Dock.