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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.
Options:
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 like a creative activity or that they should force students to memorize rules and principles
E .  ABABA
Answer: Option C
:
C
The original sentenceincorrectly pairs an infinitive ("to approach") with a clause ("that they should...") in the construction "either X or Y." Moreover, the use of "like" in the phrase "to approach mathematics like a creative activity" is incorrect. “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.
(A)This choiceis incorrect as it repeats the original sentence.
(B) While this choice does contain proper parallel structure, it incorrectly uses "like" instead of "as" in the phrase"to approach mathematicslike a creative activity".
(C) CORRECT. Theconstruction "either X or Y" requires parallelism between X and Y. In choice C, X and Y are parallel infinitive phrases ("to approach . . ." and "to force . . .").
(D) While this choice does create a parallel construction, it awkwardly beginsthe parallel elements with the words "that they" instead of the infinitive "to."Moreover, this choice incorrectly uses "like" instead of "as" in the phrase"to approach mathematicslike a creative activity".

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