The present disclosure relates to a method for shaping hair fibers comprising: applying to the hair fibers at least one reducing composition comprising at least one reducing agent and at least one cationic polymer, wherein the weight ratio of the at least one reducing agent to the at least one cationic polymer ranges from 0.1:1 to 10:1; rinsing the hair fibers; applying at least one care composition comprising at least one aminated silicone; optionally rinsing the hair fibers; and heating the hair fibers with a heating device at a temperature ranging from 50 to 280° C., the heating being carried out before or after an optional rinsing of the hair fibers.