To help the reader perform the steps of the partial sums algorithm, and to suggest some productive ways of thinking about addition in the process.
This packet consists of two videos demonstrating the partial sums algorithm, including its relationship to the standard US addition algorithm.
There are many reasons to learn a new addition algorithm. Perhaps you are:
This packet does not attempt to present the case that alternate algorithms are better than the standard algorithm. It is instead intended to demonstrate a particular algorithm-the partial sums addition algorithm-in sufficient detail that the reader will be able to do it on his/her own, and to demonstrate important features of the algorithm and its relationship to the standard algorithm.
The reader is also invited to perform an Internet search on "partial sums algorithm" for more demonstration, debate and information.
This video demonstrates the process of working the algorithm from left to right.
This video demonstrates the partial sums algorithm, and compares it to the standard algorithm in US classrooms.
So the partial sums algorithm is different from the standard algorithm in several important respects:
It is worth considering what sorts of addition problems will result in special cases. For example, how do these problems work out (and what makes them possibly different from the cases in the videos?)