Final answer:
The claim that women's brains are more effectively wired than men's for certain cognitive tasks is false. Historical stereotypes of women being incapable during wartime are also false, and it is true that no state constitution in the Revolutionary Era allowed women to vote.
Step-by-step explanation:
The statement suggesting that women's brains are more effectively wired than men's for solving problems involving rotating figures is false. Cognitive abilities, including spatial awareness and problem-solving, do not have a significant difference when it comes to gender. Research has indicated that differences in cognitive abilities are largely individual and are not accurately generalized across genders. For instance, FIGURE 12.5 highlighted in the question material indicates that research found no statistically significant difference between the cognitive abilities of boys and girls.
With respect to historical context regarding women's roles, such as their capabilities during war times or their rights in the Revolutionary Era, many assumptions have been proven incorrect over time. The idea that many women found themselves incapable of handling the burdens of war when their husbands and fathers went off to fight is largely a false stereotype. Women have played crucial roles both at home and in many cases, in active service during times of conflict.
Regarding voting rights, it is true that no state constitution in the Revolutionary Era allowed women the right to vote. However, the 19th Amendment, ratified in 1920, granted American women the right to vote, significantly changing their legal standings and political influence.