The meaning of this sentence is that fundamental and important things should grow in the heart like planting a tree.
An excerpt from the original text is as follows.
Rooted in the heart, passed on in action, held in life.
Excerpts from the translation are below.
Fundamental and important things should grow in our hearts like planting trees, pass them on one by one in our actions, and persist throughout our lives.
The most important embodiment of a person's upbringing is the cultivation rooted in the heart. Rooting is when those cultivations have taken root in your body, and you will feel its presence all the time, even if you are sick, even if you are not long in the world, it has become a natural reaction, just like breathing.
What does it mean to be rooted in the heart.
It means to keep something important or someone important in your heart and remember it firmly. Just as a tree grows in the earth, you must grow this important person in our hearts so as not to forget.
What does it mean to be rooted in the heart.
Rooted in the heart means that something or someone has been engraved in the heart, and it cannot be erased or forgotten, just like a thousand-year-old tree planted in the heart, which is intricate.
Root: Fundamentally significant. Planting: Planting Fundamental and important things should be in our hearts like planting trees.
"Rooted in people's hearts" generally refers to concepts, thoughts, and ideas being internalized into cognition in people's minds through the process of learning and Xi.