There is no one definition for spitting.  Also, the way that your student spits may be more of a drool.  What's important is not the name of the behavior, but rather that it is described so well and so precisely that others will know what you are looking for and would record it's occurrence at the same rate as you.
 

Spits:  Student propels saliva beyond his/her lips. (Each attempt to propel saliva
            is counted as one occurrence.)
 
 
 
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