Reacting emotionally will make things worse, remain the 'leader' in the situation and let your kids know that their reactions and behaviour do not effect you.
Tantrums are challenging however they are a natural part of development. It's okay to happen, avoid trying to 'stop' them but rather manage them.
Allow the tantrum to run it's course, it will look different for every child and every situation. Expression of emotion is okay but hitting/lashing out is not okay. Correct the negative behaviour inside the tantrum when things have cooled down....it's okay to wait for this part to take place when connection has re-established.
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