While the Janette Boazman article linked upthread mentions brain differences between genders (nature), at the same time, the article encourages creating environments which are friendly to the success of both genders (nurture): "The education profession as a whole needs more male teachers. Approximately 76 percent of teachers in the United States are female. This means that roughly 76 percent of classrooms have classroom routines, instruction, assignments, projects, assessments, classroom management, and behavior expectations, that are created, planned, and implemented through the female learning brain lens."

Bear in mind that while brain differences may exist statistically, the difference may not be true for each individual; Attempting to force all to match the behavioral statistics is detrimental stereotyping.

The book mindset, mentioned in the OP, says this about gender stereotypes:
Originally Posted by mindset book, p161
Boys who believed in the fixed mindset showed a boost in self-esteem when they endorsed the stereotypes.