Adding a Module to a Page
I split this out from the other advanced options because there is a lot more to it. In this example we are going to add a contact form to a page. It is a good example because it has a lot of settings (mostly optional).
The first thing you need to do is open the page you want to add the form to. Then click advanced options.
On the advanced options page click the Modules link on the view menu.

In the Add Module Page form select the module you want to add. In this case select contact.
The form will load another select box which will show each of the different pages the module has...

Select contactForm and the contact form options form will load. Note that many simpler modules dont have any parameters, so you are done at this stage.

The contact form is specifically set up so you can have several indipendant contact forms on your site. Enter the recipient's name and email. Then you can optionally set up an autoresponder. Once this is done save your changes and check out the page on the front end.
Note: It is very important to test everything you do. If you add a contact form make sure you are the first one to use it.