They do not want to pray on the men’s side of the mechitza, the woven metal partition which divides the the men’s and women’s prayer sections. They do however insist on formally (and loudly) reading the Torah and donning tefillin which is not the mode of traditional prayer for women.
“They do however insist on formally (and loudly) reading the Torah and donning tefillin which is not the mode of traditional prayer for women.”
True.