Students are encouraged control of their own learning， rather than just on the teacher.

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(答案→)A. to take， depending
B. taking， depending
C. to have taken， to depend
D. having taken， having depended
解析：根据 encourage sb to do sth 这一句式可知，第一空应填不定式，故可排除 B 和 D；再根据 encourage 的句意可知，第一空应填一般式，而非完成式，因为“鼓励某人做某事”中的“做某事”肯定发生在“鼓励”之后。