I have a blog post on how to install the printer for wireless wifi printing in Ubuntu 12.04 64 bit. Note my version is specific and only tested for the 64 bit version of Ubuntu. Brother does not include 64 bit drivers for the HL-2270DW drivers but I have patched the drivers to make them work with the 64 bit version. The patched drivers give access to ALL the features of the printer. The link is http://chadchenault.blogspot.com/2012/05/brother-hl-2270dw-printer-driver.html

Steps:

1. Download patched drivers to work with 64 bit ubuntu from the link above. You can also patch them yourselves using the command line and instructions from Brother's website.
2. Open a terminal window "ctrl + alt + t"
3. change into the directory to where the files where downloaded
4. Enter the following two commands from the terminal window.

sudo dpkg -i --force-all hl2270dwlpr-2.1.0-1a.i386.deb<code>  
sudo dpkg -i --force-all cupswrapperHL2270DW-2.0.4-2a.i386.deb<code>

USB printing should now work. If you want to configure wifi or ethernet printing, you will need to configure CUPS. I have instructions with pictures at my blog.