Daf Yomi - Sukkah 42 - Shakin'

The Acharonim cite several proofs that the mitzvah of waving the lulav is an integral part of the mitzvah of lulav. One proof is from our Gemara that states that a father is obligated to train his child who is a minor in the mitzvah of lulav when the child knows how to wave the lulav. The proof is from the fact that the Gemara did not state that the obligation begins when the minor knows how to hold the lulav. Rather, the Gemara states that the obligation begins only when the child knows how to wave the lulav.Further proof to this thesis is from the Gemara that we learned earlier that states that a lulav must be four tefachim in height to allow one to wave the lulav. The commentators discuss which waving the Gemara refers to. Is it the waving one performs when reciting the blessing on the lulav or is it the waving that is performed when reciting Hallel?