How do I convince my parents to buy me an iPhone?

[nee]

At 13 years old and you're stating it's not because of popularity but you want one despite having a unique personality? I think the real reason is because you want one like everybody else. No saying that's shameful, but that sounds more like the truth.

If you want to convince them, try to answer the following:
-why you actually want one; and compare this with why everyone else seems to have one
-what you will do with if if you get one; and compare whether or not you will actually use it to what you say
-whether your argument that your existing phone, your blackberry, being useless is a good argument (because unless a phone is broken or not working properly, it is not useless)
-whether your claim that this iPhone will be yours "rest of your years" even if you broke it, is a claim your mother can take seriously

I think there's a reason why your mom doesn't trust you. Perhaps you say a lot of things but don't act on them? Perhaps your personal situation doesn't warrant another phone? Maybe you regularly drop or otherwise damage items so your mom doesn't want you to buy a shiny but fragile phone only to break it later? A phone is a method of contact and communication, not simply a toy that you can show off to everyone.

If you cannot understand anything I have just said, I do not think you need another phone, nor can think long or hard enough on it.