The method of consistent potentials (MCP) is used to explain how a minimall
y coupled (classical) scalar field can suppress mixmaster oscillations in t
he approach to the singularity of generic cosmological spacetimes. The MCP
predicts the nature of the approach to the singularity by substitution of t
he velocity term dominated (VTD) solution, obtained by neglecting terms in
Einstein's equations containing spatial derivatives, into the neglected ter
ms. If these remain small, the approach to the singularity is predicted to
be asymptotically VTD (AVTD). Addition of the scaler field to vacuum Bianch
i type IX (mixmaster), vacuum U(1) symmetric, and magnetic Gowdy cosmologie
s changes the MCP prediction from that for an oscillatory approach to the s
ingularity to one that is AVTD. Numerical simulations are shown to support
these predictions.