Overeagerness is a term used to describe someone who is too enthusiastic or eager about something. This can sometimes lead to mistakes or misjudgments, which is why it's important to find synonyms that capture the same meaning while avoiding negative connotations. One such word is "zeal", which connotes a strong and enthusiastic desire to achieve something. Another option is "enthusiasm", which implies a positive outlook and a willingness to engage with a task or challenge. Finally, "determination" can be a useful synonym for overeagerness, as it suggests a single-minded focus and a willingness to persevere in the face of obstacles.