Don't want to say anything about Jagya Ganga Abhi
I think best example for child rearing or bringing up children was shown through Anandi Shiv and Amol.
Anandi was the strict but very loving mother and she was primary care taker of Amol.Through Shiv and Amol we saw the father and son friendship.But despite this Shiv never ever overruled the rules laid down by Anandi for Amol. - Their approach to their kid was very different but together they formed one unit. Amol knew that he can't break rules laid down by his mother.
Amol was faced with a problem like DB.Amol was scared of her and didn't know how to handle her.
So they explained to him in the begining to be tolerant towards her because she is of different mind set.Then when things became rough - they just told him to stay clear out of her way and don't enter into argument with her.They set an example to him by not letting what that lady said or did to matter to them.
Finally Amol was the one who told her to stay clear from his family in a no nosense manner - That kind of confidence only parents can give to their children.But that requires a lot of patience and efforts.
Looking at Shivam we do see that Anandi had succeeded to a larger extent and except in the area on how to handle relationships that are full of problems. She should concentrate on that.Shivam seems to be good at school and extra curricular activities and seems to be a popular kid in school too.I don't think it was his intention to show that he is better than Abhi in all those activities.He is just performing according to his own abilities. Anandi should make him realise that while perorming to his fullest abilities his duty and responsibilty to himself he should be made aware of the fact by talking too much about himself and his achievements can put off people.He needs to be told not to be a show off.