NO!! Oh god, you almost game me a heart attack. XP not EL
Every element in a stack with a Training Master gains 1 XP (eXperience Point) per turn, but only in turns in which the stack remains stationary.
Select a stack on the map, then click on one of the units in the Stack Display Panel at the bottom, so that the Unit Detail Panel opens on the lower-right. There you will see >=1 NATO symbols representing all the elements in the selected unit. If you click on one of these NATO symbols the element detail window will open above the Unit Detail Panel. Here in the lower-left corner you will see a row of stars, most of them probably grayed out. Hold you mouse-pointer over these to get a tool-tip telling you the current XP of the selected elemente and how many XP remain until gaining the next EL (Experience Level) or star.