She refuses to use a pencil even though she likes the idea of being able to erase. I spent ten minutes last night explaining that the eraser wouldn't work on black ball point pen, no matter how hard she rubbed, that she had to write in pencil if she wanted to erase. She screamed protest because she wanted both pen and eraser.

If you think she could handle it, you might offer her one of those cheap plastic mechanical pencils - it feels like pen in the the hand but you can erase it. I always used to hate the wood texture of pencils.