... he saw the twister swirl into view.
What does "see something into view" mean?
– "swirl" means to move in a twisting, spiraling way.
– "twister" is another word for whirlwind.
– to "see something come into view" means to notice it move into a position where you can see it properly, into your line of sight.
So, he saw the whirlwind twisting into his line of sight.
not a teacher