Basically, it's just the pull that a given electron "feels" from the nucleus. The farther away an electron is from the nucleus, the more shielding there will be from other electrons in lower shells, so the effective nuclear charge will be less. In general, effective nuclear charge increases from left to right on the periodic table (because more protons are being added to the nucleus) and from bottom to top.
Just a side note... all of the trends in the periodic table (ionization energy, electronegativity, electron affinity, etc.) can be explained in terms of effective nuclear charge.
Hope this helps!