Do you even know what you're trying to say here?

Yes.

That saying "men dominates this field" for even middle school maths prevents woman to do good (unless incentivized to do it, like putting female teacher) but cooking which is a field dominated by women have no issue in man going and becoming the greatest chefs.

When the argument is that there is a clear disadvantage against women in the workforce, showing an example of that disadvantage is inadvertently going against what you're trying to argue.

Nope. His argument is that women do bad in math and don't choose STEM because they think the field is male dominated and they need a strong female presence in the teacher to be willing to even study.

Where did he say that women do poorly in math? He said that there are cultural reasons that bar women from being as successful as men.

Go look at the "studies" he provided to show that when women had woman teacher they would answer more in class, would try to answer more questions on the test, etc. You seem to be antagonizing me for your own reading skills failing.

What is your definition of disadvantaged? Are you looking at it from the angle of said woman in question or society?

There are plenty of reasons men tend to dominate specific subfields and women as well. Take for instance construction workers. Most of these guys are 20-40 year old men. Why is that? The male body is more physically suit for rigorous work on a daily basis and can grow muscle quicker with better output than say a woman (https://www.webmd.com/diet/features/weight-loss-wars-men-vs-women#1). Women have more caring aspects in them, and as such they have dominated teaching and nursing professions for nearly their entire existence.

I guess my thing is I don't know what there is to argue here. Men and women both have different qualities and body compositions that make them unique individuals. If you're trying to say that there is inherent sexism in certain fields such as manual labor, I need the proof that it's widespread (even though if there is any it's most likely case by case). If there is no evidence of said discriminaiton, your argument essentially boils down to genetics are sexist, which is flawed in itself to say the least.

I mean if you are a fan of exploring the same themes and story beats because you're against diversity then enjoy stagnation...

Stagnation?

Batman has been freaking white male ever since he was made. Guess what? Batman comics, movies, merchandise, cartoons, etc. continue to be made. You don't need to change a beloved character to keep him popular.

Just like Lara Croft has been a white British woman ever since she was created. Do you need to make a male version? No! She's fine the way she is! Just like all the characters that people love, they're fine!

So your argument is trash!

Batman is a title, same with Tomb Raider, that's not the same of specific people such as Bruce Wayne and Lara Croft. Since Batman is just a title anyone can inherit/claim/steal/etc. it, same with the Tomb Raider.