Final answer:
Cognitive therapy is the insight-oriented therapy that is both directive and nondirective, incorporating elements of understanding and changing thought patterns, and is influenced by both Rogers' client-centered therapy and the cognitive revolution.
Step-by-step explanation:
The therapy that is insight-oriented and both directive and nondirective in nature is cognitive therapy. Cognitive therapy, as a form of psychotherapy, often combines both insight-oriented strategies, which helps individuals understand the underlying reasons for their thoughts and behaviors, and action-oriented strategies, which focus on changing thoughts and behaviors directly. This therapeutic approach can be both directive in offering guidance on ways to change thinking patterns and nondirective in allowing the individual space to explore their thoughts and feelings.
Cognitive therapy is effective for a wide range of psychological disorders. Developed in part from the cognitive revolution in psychology, it is also influenced by Carl Rogers' client-centered therapy. Cognitive therapists work with clients to identify and challenge dysfunctional thoughts, with the goal of altering problematic emotions and behaviors.