1820s US Presidential Election Amendment

[OwenM]

Whilst reading Edward Everett's Wikipedia article, I noted that a speech involving slavery that would dog him for the rest of his career was actually part of a debate on an amendment intended to avoid a repeat of the 1824 presidential election, which obviously did not pass.
Does anyone know what this amendment entailed and what could have gone differently?

 

[moth]

I do believe this is what Wikipedia is referencing:

https://babel.hathitrust.org/cgi/pt?id=hvd.hx4lxl;view=1up;seq=5

 

[Roger II]

Reading through, it seems to envsion switching to election for the president by district for some reason to solve the problem of a four-way or similar tie devolving on the house...although as described it makes no provision for a plurality vote.