The way of asking — how one phrases or frames a question or request.
面接では聞き方を工夫すると印象がよくなる。
In interviews, if you pay attention to how you ask questions, you leave a better impression.
同じ内容でも聞き方を変えれば答えが違うことがある。
Even with the same content, changing how you ask can lead to different answers.
子どもに話を聞くときは、優しい聞き方が大切だ。
When talking to children, a gentle way of asking is important.
The way of listening — how one listens to someone, often referring to techniques of attentive listening.
聞き方を学べば、職場のコミュニケーションが改善する。
If you learn how to listen, workplace communication improves.
彼女は相手に合わせた聞き方が上手だ。
She is good at adjusting her listening style to the other person.
医療現場では患者への聞き方が重要だ。
In medical settings, the way of asking patients questions is important.
Rarely: can mean 'the listener' (the person who listens or interviews), though normally 聞き手 is used.
今回は聞き方として私がインタビューを担当します。
This time, I will act as the interviewer (the listener).