I do not understand the explanation for the following SC:
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.
to approach mathematics like a creative activity or that they should force students to memorize rules and principles
to approach mathematics like a creative activity or to force students to memorize rules and principles
to approach mathematics as a creative activity or to force students to memorize rules and principles
that they should approach mathematics as a creative activity or to force students to memorize rules and principles
that they should approach mathematics like a creative activity or that they should force students to memorize rules and principles
The 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 do not understand this difference. Please give me another example!!