The method could be called “subtraction by addition.” Basically, you start with the lower number and add smaller numbers required to “get back” to the original number to find the answer. This is effectively what is done when you count back change. But there is a reason the first steps in learning math don’t include counting back change!
I am unable to confirm if this method is promoted by Common Core. It won’t make learning math easier, but it’s easy to see how some bureaucrat could think it must be an improvement.
For more information on Common Core see the Common Core State Standards Initiative.