Teachers in this country have generally been trained either

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 as 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


Please explain when you would use "like" or "as"