I am not sure what to think of it. DD (3, s&l delay, suspected ASD) throws the most awful tantrums at home. we have several a day and it is very exhausting for the whole family.
I have had a word with her nursery this week and it appears she doesn't do it at nursery. never. ever 
do your DC do the same? why would DD have these big tantrums at home but is able to kind of switch them off at nursery?