Regrouping can be a very difficult concept for students. A great hands on way to teach adding double digits is with dimes and pennies. Kids figure out that they add digits in the ones place first. Then, they add the digits in the tens place.
First, they group their pennies together to create a ten (dime). They trade their ten pennies for a dime. Any pennies left over (that don't make a ten) represent the ones place. Next, they count the total number of dimes they have. The number of dimes represents the numeral in the tens place. Add all the coins up and you have your answer! This is a fantastic activity for visual learners. Below is an example: