After reading into the matter (as a non-native English speaker, I've never heard of total and net ionic equations) here goes my small little guide to ionic equations:
Total Ionic Equations
A total ionic equation is where you start with a balanced equation and write all the ionic compounds in their ionic form. For example, in the following reaction
$$\ce{2 Na3PO4 + 3 CaCl2 -> 6 NaCl + Ca3(PO4)2 v},$$
one of the products precipitates (noted by the downwards pointing arrow). So we will not write it in ionic form for the total ionic equation, which is the following:
$$\ce{6 Na+ + 2PO4^3- + 3Ca^2+ + 6 Cl- -> 6 Na+ + 6 Cl- + Ca3(PO4)2 v}.$$
Net Ionic Equations
Net ionic equations can be derived from total ionic equations: We just eliminate the compounds that appear both on the right and on the left side of the reaction arrow. Thus we get for the above total ionic equation:
$$\ce{2 PO4^3- + 3 Ca^2+ -> Ca3(PO4)2 v}$$
The ions that were eliminated are termed spectator ions, because they do not participate in any notable chemical reaction.
If something is still unclear, maybe have a go at Kristy M. Bailey's
website (Oklahoma City Community College), which explains it pretty neatly.