single page application implemented with javascript/jQuery
My website uses this, not trying to plug it: http://www.oriley.org. Basically you just need to have a bunch of hidden divs which are revealed when a link is clicked, making for a faster experience.
2021 Update:
It's nearing the end of 2021 and thought I would provide a newer solution/guide if possible. I did end up finding one, created a couple years ago, that uses modern day tools (npm, webpack, ES6, etc.):
spa-without-framework
However, I reviewed the original three guides below and TBH they're still relevant 6 years later! Which one you should choose solely depends on what suits your needs best.
Here are some links to help point you in the right direction. If you don't want to use any frameworks (Angular, Backbone, etc.) these links will be good. They use jQuery and perhaps one other library/plugin. Hope they help!
Guide A - uses jQuery library handlebars
Guide B - uses jQuery plugin bbq
Guide C - uses jQuery plugin sammy.js