"No route matches [POST]" when changing link_to to button_to
The "link_to" is looking for a /users/new using GET.
The "button_to" is looking for a /users/new using POST
If you create the routes for a controller using:
resources :user
By default, /users/new is a GET and not POST so, the second line doesn't find any route.
If you are thinking to change that action to POST I think that you should forget about it.
Jesus Rodriguez is right about POST and GET, but if you really need the button you can simply override the default method:
<%= button_to "New User", new_user_path, :class => "button", :method => :get %>
button_to defaults to POST, and link_to defaults to GET, this is why links_to worked. You can force button_to to use GET:
<%= button_to "New User", new_user_path, :class => "button", :method => :get %>
You can get more information about button_to options here: http://api.rubyonrails.org/classes/ActionView/Helpers/UrlHelper.html#method-i-button_to
Instead of forcing button_to to use a non-default method, you can also send a class to link_to.
<%= link_to "New User", new_user_path, :class => "button" %>