Place your cursor over Certifications and left click on the sub-option Training.
The top portion of this screen is display only. The information displayed was entered through the Person/Org menu option.
Select the person that you would like to delete training by left clicking on the Drop-down list button 
or by typing the person's name.
Find the training that you would like to delete and left click on the Delete button 
on that training line.
A dialog box will appear for you to choose either 
to delete the training record or 
to not delete.