Remind is an action - to attempt to cause a person to remember. Remember is the act of bringing ones own memory out. I am trying to remember what he looks like. Could you please remind me what colour was his hair?

Remind and Remember are similar, but not the same. Remind = If you remind somebody/yourself about something, you make them remember it. It's a transitive verb, it always has an object which may be followed by to + infinitive or that-clause. Eg - "Remind me to send Bob an email about the meeting." Remember can be either transitive (with object) or intransitive (without object).