As Han worked on his paper, he allowed himself to nonjudgmentally consider any idea that came into his mind. In doing so, Han was MOST LIKELY engaged in
reflection Han was likely engaged in reflection. Another good choice to answer this question/complete this scenario could be "brainstorming" but this sort of indicates a more intentional process of gathering as many ideas as possible. Either one gets at the idea that he was open-mindedly allowing ideas to come to his mind and consider them or use them thoughtfully.