You're stating that there exists teaching methods that somehow benefit women, and not men as a function of their gender. That's an extraordinary claim and requires evidence. You can't assert your claim is true and look at the article to justify the original claim that you're asserting to begin with.
Sorry, what? I gave an example of a teaching method which creates difficulties for boys relative to girls. You agreed boys have trouble with it. What is left to discuss?
Boys having trouble with a teaching method does not mean said teaching method is inherently discriminatory towards boys nor does it mean that its favorable towards girls. Do you not understand? I'm sorry if I'm not being clear. Nothing you have said has illustrated things being somehow favorable to girls.
One group of individual doing better at something does not mean the thing is favorable towards the group.
The article is about girls outperforming relative to boys. In that context anything which penalises boys benefits girls, by definition. This is basic logic. I'm not sure what else can be said here, so let's leave it at that.
Your logic is incorrect, but yes, let's just leave it at that.