When do the "Terrible Twos" actually start?

My son is 13 months and recently began throwing terrible tantrums when he doesn't get his way. He throws food, grabs our faces, tells us "no no no!" and screeches. We remove him from the situation and ignore the tantrum so as not to reinforce the behavior. We then pay attention to him after he calms down. Is this the right way to handle it?