When people don't listen to you, it is very frustrating. Honestly, I truly don't believe that people have to agree with me all the time, in fact, I prefer when people kindly and openly disagree with good rationale. I love what an honest team that communicates well can create and do, but when people don't hear you and then put their own take on your position, it is very, very frustrating.
How can we work against that kind of frustrating lack of listening? What can we do?
First, I think it is important to make sure you are listening yourself. To be a good listener is tough, and it takes good focus and commitment. You can't accuse others of not listening if you are not listening yourself.
Next, if people conjecture or repeat wrongly what you have said or tried to say, I believe you have to speak up and right the misconception. It does no one any good to be misquoted or mischaracterized.
And, if people continually do not listen to you or accurately interpret or repeat your remarks, you will have to be cautious about communicating with those people in any fashion. I remember once long ago when that happened to me so I had to resort to written communication alone--I needed a record of my remarks to refer to since the individual involved continually misquoted and misconstrued what I said. That helped.
As most wise experts will say, it is important to listen carefully and understand clearly what another is saying. The better we do this, the better we will be. Onward.