Traditional Algorithms?

The following quote is from Calculators, Children and Mathematics, the report of the Calculator Aware Number project.

Omitting the teaching of traditional vertical pencil-and-paper methods of calculation has released a great deal of time to promote children's understanding of number, and this has been an important factor in the development of children's ability to think mathematically.
... Page 9 DISCUSS

This discussion should be supported and extended by the papers in the Stories link.