Chinuch Hora'ah of the Day:
The husband’s role is to give general guidance, in the form of a concise point, by declaring that the running of the home, the chinuch of the children, and the conduct of every household member should be as is fitting according to Shulchan Aruch.
The wife’s role is to then bring this down into the details. She implements this in all the particulars of the running of the home, in all the particulars of the children’s chinuch, and in all the particulars of the conduct of the household members. Within even the minutest detail of daily life, the family members should experience the matter of Shema Yisroel Hashem Elokeinu Hashem Echad that the husband recited in the morning. This is dependent upon the akeres habayis; she is the one who permeates day-to-day life with this notion and brings it into practice in all the particulars of the conduct of the home.
… We see this principle clearly … in the first Jew, Avraham Avinu. When it came to chinuch, Avraham Avinu issued the general instruction [to his family]: אשר יצוה את בניו ואת ביתו אחריו ושמרו דרך ה’ לעשות צדקה ומשפט (“He commanded his sons and his household after him, so that they would keep the way of Hashem, performing righteousness and justice”). However, the particulars of chinuch – such as how to educate Yitzchak and which friends to protect him from – were all attended to by Sarah. Due to her role, Avraham was told, “Whatever Sarah tells you, hearken to her voice”.
(Toras Menachem, vol. 31, p. 138)