jquery selector

jquery selector

I am a rank newbie. i'm trying to make a simple folding page menu in wordpress, once that expands when you mouseover. the menu is here

http://lpcurriculum.avatarpublication.com

LP Curriculum

write now i am able to load the page closed, and when I mouse over I am able to expand ALL children, but what I really want to be able to do is just expand the children of the currently moused over LI. The code I got now is selecting all children and just expands the whole menu. not what I want?

jQuery(document).ready(function(){
 jQuery(".page_item ul").hide();
 jQuery('ul li').mouseover(function() {
                    
  $('.children').slideDown('slow', function() {
    // Animation complete.
  });
});
});

can somebody help?