I remain really skeptical. If you believe this, then doing a fifteen-minute writing exercise at the start of a fifteen week course in which you "write about your values" rather than a different fifteen-minute writing exercise where you "write about other peoples values" leads you to understand introductory physics significantly better at the end, if you're a woman, or understand introductory physics significantly wor…
I doubt you have spent time teaching undergraduate physics. Your assertion that the male students might have dropped out because of the "frou-frou" exercise is easily construed as chauvinistic. Unless you are a female student in physical sciences or math, I don't think you can really understand what its like to be told, implicitly and explicitly, for most of your secondary and college education, that you are inferior…
I keep hearing this "inferior to your male peers" bit, but oddly enough, when I was in high school, the higher-level math and science classes were mostly populated by girls. The more respectable the class was, the more female-skewed the sex ratio was. I think I was the only person in my physiology class with a Y chromosome. This was in the American Midwest, in a vaguely lower-middle-class area.
To this day, I still don't know what was up with that.