S.,
I think your trying really hard but, you should try it diffrently
Eg. Quite hands is NOT working for you because he is still at the hysterical mode.and your giving him attention.
the same goes for the fast walk, your giving him attention when he acts up.
What kid wouldn't enjoy going for a walk with mommy.
another thing is your leaving him , he should learn to leave the room when he is being fresh
reason, when he is older it teaches him to walk away from a fight.
So I suggest you send him to his room by pointing and firmly demanding he goes to his room.insist until he listens
while he is there he can yell and scream his head off,
and when he is quieted down you can go to him
but not until then.
I feel its ok for him to be angry and release his frustrations, as long as he follows the rules,
Self control comes in time
he is 3 and not totally capable of understanding nor expressing whats wrong,
and you can't expect this
Simply state the rules, and the facts,
eg. you cannot hit, if you hit you will go to bed.
Hitting hurts, and I don't like it,
You don't like being hit, because hitting hurts
if you hit you will go to bed.
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One lesson at a time, and believe me it will take time,
after a while you can tell him to lower his voice, while having a tantrum, and he will try to listen,
but it all takes time.
Good luck
M