BAD : The amount of accidents is steadily increasing.
GOOD : The number of accidents is steadily increasing.
BAD : Only small amounts of students will be admitted.
GOOD : Only small numbers of students will be admitted.
amount of + uncountable noun
number of + plural countable noun
Compare: 'an amount of money', 'a number of coins'
BAD : I was lucky and won a big amount of money.
GOOD : I was lucky and won a large amount of money.
BAD : Cream cheese contains a high amount of fat.
GOOD : Cream cheese contains a large amount of fat.
a large amount (NOT big/high )
BAD : The amount of crime have increased.
GOOD : The amount of crime has increased.
BAD : A tremendous amount of research have been carried out.
GOOD : A tremendous amount of research has been carried out.
amount of (singular) + uncountable noun + singular verb
amounts of (plural) + uncountable noun + plural verb
Compare: 'A large amount of money is required.' 'Large amounts of money are required.'