As I don't know the exact story, it could be about non - attachment. If the carrot represents worldly desires, the moral might be to let go of such desires as a Buddhist practice.
Since there are many Tibetan Buddhist teachings and stories, the one about the teacher and the carrot might be a local or specific tale. It could be that the carrot is related to the idea of sustenance in a spiritual sense. In Tibetan Buddhism, there are often stories that use everyday objects to convey deeper spiritual meanings. The teacher might have used the carrot to teach about detachment, for instance. Saying that we should not be too attached to worldly things like food (represented by the carrot) as it can distract us from our spiritual journey. However, without more information, it's hard to give a definite account of this story.
Since I don't know the exact 'Buddhist teacher and carrot story', it could be a creative story made up to illustrate a particular Buddhist concept. It might be that the Buddhist teacher found a simple carrot in the garden and used it to teach his disciples about the simplicity and beauty in nature that reflects the Buddha - nature. Or it could be a story about how the carrot, like all things, is impermanent, and the teacher uses this to teach about the transient nature of life and the importance of not getting too attached to things.
I'm afraid I haven't come across a particular 'Tibetan Buddhist teacher and carrot story' in my knowledge. There are so many stories in Tibetan Buddhism, but this one doesn't seem to be a widely known or commonly told one. It could be a very specific story within a certain monastery or community.
One possible moral could be the importance of compassion. In the story, different characters' reactions to the man in the well might show how we should or shouldn't respond to those in distress.
In many Buddhist stories, one moral lesson is about compassion. For example, in stories where the Buddha helps the suffering, it shows that we should also be kind to those in pain.
Perhaps if it's a story about not being greedy. Say there are many characters in the story and they all want the big carrot for themselves. But in the end, they realize that if they are greedy, it will lead to unhappiness. So the moral could be that greediness is not good and sharing or cooperation is better.
Compassion is a common moral lesson. For example, in stories where the Buddha helps animals or people in need, kids learn to be kind and empathetic. Another is non - attachment. Stories might show how excessive desire for material things can lead to unhappiness. For instance, if a character in a story is always greedy for more wealth but is never satisfied, kids can understand that we should not be overly attached to possessions.
The moral lesson in the Four Friends Buddhist Story is often about cooperation and mutual support. Each friend in the story has its own unique qualities and abilities, and by working together, they can achieve more than they could alone.
In Buddhist ghost stories, one moral lesson is about karma. For example, if a ghost is suffering due to being a hungry ghost, it's because of their past wrongdoings like greed. So, it teaches people to avoid negative actions.
In a story where the jar has some special significance, perhaps it holds memories or dreams. The moral could be about cherishing intangible things. The teacher could be the guide to help students understand the value of these non - physical elements, and the jar serves as a symbol of that.