Confusion over quotation marks.

I realize from reading reviews of my novels that I sometimes confuse readers by the way I use quotation marks. I suppose I should do it like everyone else, but that has never made sense to me. Let me tell you how I see it.

Let's say a character in one of my novels is talking. In the course of what she or he says, she or he changes the subject. That change requires a new paragraph. However, the same character is still speaking; therefore, I don't start the new paragraph with quotation marks, just as I did not close the previous paragraph with quotation marks because the speaker is not done speaking

Thus, from one of my novels:

"I don't know. Maybe talking to you on the phone. I've never had someone to talk to before who was anchored in one place. All my friends are constantly moving, just like me. But when I talked to you and you told me about what was going on at school and in town, it began to feel special to me. I've been getting the news from Smoke Tree for the last two years.

When I got here today, I realized I have been missing this place, even though I've only been here once before. I missed that old city hall. There's a library there, and I'd like to go there on a hot day and sit and read. And the theater. I'd like to go to a movie there. And I missed the high school, even though this evening was the first time I've ever seen it.

Is any of this making any sense?"

In the preferred convention, the second and third paragraphs above would each begin with quotation marks, but I choose not to do it that way. Since the same person is speaking, (from "I don't know" until "Is any of this making any sense?"), I choose not to close the quotation marks until he is finished.

I know, I know, silly stubbornness on my part, but it makes more sense to me that way.