Final answer:
The early childhood application of Freud's psychoanalytic theory that reflects a supportive developmental approach would be fostering independence and exploration. This encourages the natural progression through psychosexual stages without becoming fixated due to over-control or suppression of instincts.
Step-by-step explanation:
According to Sigmund Freud's psychosexual development theory, personality develops during early childhood based on a series of stages tied to bodily pleasure zones. The application of this theory in early childhood would likely involve fostering independence and exploration. This approach aligns with supporting children as they pass through various developmental stages, such as weaning, toilet training, and the Oedipus/Electra complex, without becoming fixated due to over-control or suppression of natural urges. Fostering such independence may help children develop a healthy sense of self and avoid adult fixations, which can emerge as a result of unresolved conflicts in any of the psychosexual stages.
Strict discipline and control, suppressing natural instincts, and minimizing social interactions could potentially interfere with the natural progression through the psychosexual stages, leading to fixations and subsequent challenges in adult personality and behaviors.