I'm the opposite. I rarely visualize things I read, be it geometry or poetry. I can read a detailed description of a person or an item in a novel, and I don't really "see" anything.

But I have an active inner monologue. I "hear" myself saying the words when reading or writing, I "talk" to myself when solving problems or just thinking about stuff.

Especially when programming I'm reasoning by discussing the problem with myself, the only difference being that I usually don't open my mouth and vocalize the discussion. Though sometimes when I'm alone I do just that.