Final answer:
The text indicating that white children behaved differently is the mention of them pointing at moccasined feet and their mothers encouraging this behavior rather than correcting it.
Step-by-step explanation:
The detail that best helps determine the idea that white children behaved differently than bronzed children is found in the passage: 'Sometimes they took their forefingers out of their mouths and pointed at my moccasined feet. Their mothers, instead of reproving such rude curiosity, looked closely at me, and attracted their children's further notice to my blanket.' This demonstrates an explicit contrast in behavior where the white children's curiosity is allowed and directed by their mothers, highlighting a difference in upbringing and etiquette compared to the bronzed child's experience.