The linear σ model is used to study how full chiral symmetry is realized as the (3,3*) + (3*,3) interaction is turned off. The Lagrangian which fits the observed spin-zero mass spectrum chooses either a normal realization with degenerate SU(3) × SU(3) multiplets or a Goldstone realization with an octet of massless pseudoscalar mesons, depending on whether the mass term of the Lagrangian is greater or less than a certain critical value. The value of the mass term depends sensitively on the masses of the I=0 scalar resonances and present knowledge of these masses is compatible with either type of realization. However, the values of the nucleon σ commutators calculated from meson-nucleon scattering data can resolve this issue. For the normal solution the π-Nσ commutator is predicted to be about 75 MeV, whereas for the Goldstone solution the prediction is 30 MeV. The symmetry-breaking parameters are a=-0.91 and b=-0.16 independent of how full symmetry is achieved.