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The first version stated is correct. The second is wrong because it contains two active verbs but only one simple subject (style), and that subject does not make sense as a subject for the second active verb. "While" can not be a coordinate conjunction, although "while" often is a subordinate conjunction.

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13y ago
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6mo ago

Their innovative teaching style encourages creativity while challenging students to think critically and problem solve. This approach fosters a deeper understanding of the subject matter and prepares students to apply their knowledge in real-world situations.

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Q: Their innovative teaching style encourages creativity while challenING students to think critically and... OR Their innovative teaching style encourages creativity while challengES students to...?
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