Final answer:
Jean-Jacques Piaget is recognized for his theory of cognitive development which describes how children's thinking evolves in stages, rather than for a theory of moral development.
Step-by-step explanation:
Jean-Jacques Piaget is best associated with his theory of cognitive development rather than moral development. Piaget's cognitive theory posited that children's cognitive abilities develop through specific stages, central to which is how children think and reason as they grow. This theory differs from Lawrence Kohlberg's theory of moral development, which outlines how individuals progress through different stages of moral reasoning, from pre-conventional to post-conventional.