The principles of Applied Behavorial Analysis (antecedent, behavior, consequence) can be utilized for all children (and adults). Once a parent realizes that their actions/response/lack of response can be the antecedent to their child's next behavior they can control how events/tantrums play out.
Problem: mom tells her friends "why is it my kids only come when I scream at them?"
Mom wants her 2 year old son Jack to come over to her so she can put his coat on as they are late getting out the door. Jack is playing in the playroom. Mom says "Jack, come here", no response. Mom rushes about pulling their stuff together getting increasingly annoyed "JACK, COME HERE" she calls again with more emphasis. No response. This goes on for a few more minutes until Mom is close to snapping -- the yell for Jack now is eqivilent to a scream, with a littany of words after "you come when I call you, we are late...." What did Mom's actions here teach Jack?
When mom said Jack's name the first time and Jack completely ignored her, the consequence for his behavior of ignoring her was absolutely nothing -- mom went about her business, and Jack was allowed to continue playing. Mom just reinforced Jack ignoring her. It wasn't until Mom almost lost it and charged into the playroom did Jack see a consequence. So in effect, mom taught Jack that he does not have to respond until Mom is losing it as that is the only time there will be a consequence.
When mom asks Jack to come to her, mom has to follow up immediately with the consequence to his not listening by going into the playroom, taking his hand, and bringing him over to his coat (preferably without words and as neutral as possible). Jack will then learn that when he is called, he must respond.
Problem: tantrums
This one is the most difficult to do at first, but children do catch on quickly and you will see them virtually disappear. My son Jack was notorious for his tantrums until I used ABA with him. Now they last about 10 seconds (he is 4 years old -- we had them under control when he was 2).
Jack has a tantrum because it was his twin brother's turn to play with the toy he loves. Jack starts wailing his lungs out. Mom completely ignores him, does not even look at him, but stays very close. The second Jack stops crying (even if it is just to catch his breath), mom says "that's being quiet, do you want me to help you find a new toy?", Jack immediately starts crying again. Wash, rinse and repeat until he stops altogether. Even if it takes an hour. Once you nail the first tantrum the rest get less in length, until they are nonexistent. I promise you this works for every single child on this planet -- from special needs to gifted children. Any attention you give a tantrum reinforces the tantrum. Do not do it, no matter how long it lasts. Praise the quiet when they stop for seconds at a time, but ignore the crying. You can outlast them -- the long term rewards are worth the PIA it is dealing with the first couple of tantrums.
You can apply this to anything such as hanging up his coat -- stand there completely ignoring the whines and cries, when there is silence state "hang up your coat Jack", and physically hand over hand do it with him. Then state "that's hanging up your coat." Take the coat down, and start over until your child does it independently.
With regard to abberant behaviors -- if you don't like a behavior, then don't reinforce that behavior by responding to it. Praise and model good behaviors. Ignore improper ones. If tantrum occurs in public then scoop and remove the child to your vehicle as neutrally as possible. When he calms down, praise that and try again. Tip though on this: it is best to conquer the tantrums at home and until they are dealt with, limit your trips to the store/restaurant, etc. as consistency is critical for this to work.
Dangerous situations call for immediate response of removing child from danger. I agree there is no reasoning with a two year old -- keep it simple "hot", "hurt", "no" and "danger" are completely fine. Children who bite and hit need to be scooped and removed to isolated environment, then play out the tantrum protocol. The consequence for biting is they no longer are allowed to play with their peers, and will be isolated until they calm down. Reasoning with a two year old on biting is the equivilent of trying to explain how 9/11 happened to a truther, a total waste of time.
Parenting magazine makes me laugh out loud when I read it in the doctor's office. My oldest son is autistic. The parenting skills I have obtained from training I have received to teach my son/carry over his programs to the home and community setting are priceless to me.
Every parent should be trained in ABA protocols, IMHO.
Golden rule of parenting? yelling doesn't work (sure it makes you feel better, but it isn't effective parenting).