Both models include critical milestones aroud the ages of 2 years old, 5 years old, and 12 years old. In Freud's model, these milestones are related to sexual development. For Piaget, they are related to the mode and process of learning. Freud believed that infants experience an oral stage, characterized by the pleasure they get from breastfeeding. Young children around the age of 5 experience an anal stage, in which they become interested in bodily functions including bowel evacuation. At the onset of peuberty, children experience a phallic phase.
Piaget also believed that people go through three phases of development. The first stage in his model is the sensorimoter phase, in which children can only process sensory information such as what they see, hear and touch. The second stage is the pre-operational stage, in which children begin to use imagination. Finally there are a set of operational stages in which children learn to use rationality and abstract reasoning skills.
The fact that both of these theorists place development milestones at around the same age suggests that these times in a person's life do represent important cognitive, psychological and emotional developments.