Read above. Crimson's pointed it out a dozen time. The VP would call for votes, appoint chairs, open and close sessions. They may also choose to participate in discussion. No one ever said that the VP would make the decisions for all the Senate, but they VP COULD have a more active role if they chose.
ALL of that is done with votes and procedures of the senate....
example... some senator calls to adjourn, another seconds the vote, the president of the senate bangs his hammer, calls for a vote on the proposal to adjourn, the vote is cast and counted and handed to the president and the president reads off what the senators voted, bangs his hammer again telling the chamber to quiet down, then the majority leader picks the next thing to discuss or vote on with so much time alotted to each side, they have so many speakers, the president of the senate keeps track of their time...bangs haqmmer when times are up./
Please, watch c-span, you and Crimson will view with your own eyes what the president of the senate's duties are and NONE of them control the agenda or the bills being brought up...THAT is NOT his duty....
it is a parliamentory procedural position.