Gender identity and gender role
Gender identity is defined as a personal conception of oneself as male or female (or rarely, both or neither). This concept is intimately related to the concept of gender role, which is defined as the outward manifestations of personality that reflect the gender identity. Gender identity, in nearly all instances, is self-identified, as a result of a combination of inherent and extrinsic or environmental factors; gender role, on the other hand, is manifested within society by observable factors such as behavior and appearance. For example, if a person considers himself a male and is most comfortable referring to his personal gender in masculine terms, then his gender identity is male. However, his gender role is male only if he demonstrates typically male characteristics in behavior, dress, and/or mannerisms.
Thus, gender role is often an outward expression of gender identity, but not necessarily so. In most individuals, gender identity and gender role are congruous. Assessing the acquisition of this congruity, or recognizing incongruity (resulting in gender-variant behavior), is important in the developing child. It is important also to note that cultural differences abound in the expression of one's gender role, and, in certain societies, such nuances in accepted gender norms can also play some part in the definition of gender identity.
In order to understand gender identity development and related issues, definitions must be emphasized for clarity. The topic of gender identity is often discussed merely in terms of dysfunction, and the diagnosis of gender identity disorder is a known phenomenon in both children and adults. However, physicians should remember that all individuals possess a gender identity and that the process of becoming aware of it is an important part of the psychosocial development of a child. In the realm of pediatrics, recognition of gender identity is a process rather than a particular milestone, and variance from societal norms can cause distress to both the child and the child's family. It is necessary to understand the varied pathways that lead to a mature and congruent gender role in order to fully assess a person's behavioral health
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http://emedicine.medscape.com/article/917990-overview)
It seems that threy were talking about gender rolse rather than gender identity. Still, even the texbook defintions seem not clear, as above.
Kate D