「母 (はは)」 means "mother" (my). You use this word when you are talking about your *own* mother to someone else. When referring to someone else's mother, you typically use the more polite 「お母さん (おかあさん)」.

自分(じぶん)の母親(ははおや)を指(さ)します。私(わたし)の母(はは)は料理(りょうり)が上手(じょうず)です。