A functionalized polymer includes a directly bonded moiety, which can be located at a terminus of the polymer, defined by the formula —CR1R2NH-Q-M where M is (N═CR1R2) or N-(QN═CR1R2)2 each Q independently is a substituted or unsubstituted, cyclic or acyclic C1-C40 alkyl, aryl, or alkaryl radical, and each R1 and R2 independently is a hydrogen atom or a substituted or unsubstituted alkyl, alkenyl, cycloalkyl, cycloalkenyl, aryl, allyl, aralkyl, alkaryl, or alkynyl group. The polymer can be provided by introducing a polyimine compound into a system that includes carbanionic (living) polymer. Such polymers can be used in the production of compositions that include particulate fillers.