The period of the Quest before Strauss is driven by the question of the miraculous/supernatural. Strauss equated miracle with the mythic elements of the gospel materials; not historical. Scholars in the period after Strauss bracket miracle, ruling it out of the realm of history.
Karl August Hase (1800-1890), in his The Life of Jesus (1829), is a rationalist but skeptical. He leaves open the possibility of miracle. Also, he tries to grasp the inner connection of the events of Jesus' ministry and, in so doing, "Hase created the modern historico-psychological picture of Jesus." He shows a development iin Jesus' consciousness. E.g., Jesus began with Jewish messianism, but his practical experience showed this to be erroneous. Thus, he developed his own ideas. This notion of two periods of Jesus' life became the plan of all Lives of Jesus down to Johannes Weiss.