Final answer:
The statement that German and Japanese theaters grew as major dance centers is somewhat misleading, as these theaters incorporated dance in their performances but were not solely dedicated to dance. German cabarets and Japanese traditional theater such as Kabuki and Noh did involve dance, but they also encompassed a broader range of performance arts.
Step-by-step explanation:
True or false: The German and the Japanese theaters grew as major dance centers. This statement is somewhat misleading as it requires clarification. While both Germany and Japan have had significant theatrical traditions, their contribution to dance is varied and complex. In Germany, theaters have indeed been places where various forms of dance have been performed, particularly during the cabaret era. In Japan, traditional forms of theater such as Kabuki and Noh have included dance, but these theaters are not primarily known as dance centers in the way that, for example, dance halls or schools may be.
It is important to distinguish between the broader concept of theatrical performance, which can include dance, and specialized venues or institutions dedicated solely to the art of dance. Thus, while German and Japanese theaters have certainly played a role in the development and performance of dance, it would be more precise to consider them as part of a larger cultural context that includes dance rather than as major dance centers specifically.