Teachers in this country have generally been trained either to approach mathematics like a creative activity or that they should force students to memorize rules and principles without truly understanding how to apply them.


A)to approach mathematics like a creative activity or that they should force students to memorize rules and principles

B)to approach mathematics like a creative activity or to force students to memorize rules and principles

C)to approach mathematics as a creative activity or to force students to memorize rules and principles
D)that they should approach mathematics as a creative activity or to force students to memorize rules and principles
E)that they should approach mathematics like a creative activity or that they should force students to memorize rules and principles
whats the different in meaning between b and c

MGMAT Explanation says
"Like" is used to compare the similarities between things, while "as" is used in comparisons that show equality. In this case, mathematics is a creative activity; thus, "as" is necessary.
I didnt understand the explanation