Usage patterns
母に〈事〉を感謝するto thank one's mother for something
I'm grateful to my mother for always raising me.
母を大切にするto treasure/take good care of one's mother
Even though I live far away, I want to take good care of my mother.
母の日に〈物〉を贈るto give something as a gift on Mother's Day
I gave carnations as a gift for Mother's Day.
Expressions
この母にしてこの子ありthe apple doesn't fall far from the tree; like mother, like child