Okay, so I'm about to embark on the scary journey known as "dating someone after being single for a whole year."  I have a week between the end of classes and the start of my summer job, and the gentleman with whom I am about to start this relationship wants to spend a lot of time with me during that week.  We've only been on one date, and have a second one planned for this weekend.  So when I hear that he wants to spend a lot of time with me, HUGE sirens and flashing red lights go off in my head.  I don't want to rush into this.  My last relationship ended quite horridly, so I want to take baby steps.  Said gentleman caller says that we aren't rushing into things, we're just hanging out and doing stuff together.
So I'm wondering, what is a good amount of time for two people to spend together when they're just starting a relationship?  I think that one date a week is PLENTY.  Obviously my caller has different ideas.  What are your thoughts?