The teacher here too. I have absolutely found this to be the case as well. Another factor I remember learning about in my teacher training is that student post-secondary success is highly correlated with the mother’s education level. It is even higher than a present father, eating dinner as a family, reading to the kids, etc.
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It’s really more complex than parents being engaged. Many times they can negatively affect their children. Sometimes fathers can leave a negative legacy of violence, drug and alcohol abuse, or even narcissistic parenting. Not to say that mothers can leave that legacy too.