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The myth that comforting your child will "spoil" them is not only emotionally harmful for kids, its application actually creates an altered brain state that leads to higher levels of stress and mental illness in adulthood.
Neuroscience imaging has been able to correlate early childhood neglect and trauma with an enlarged amygdala.(higher reactivity) As well it has correlated secure attachment relationships with a thicker neocortex (better executive functioning).
So when your child is emotionally flooded, no matter if it is over a significant loss or something small, giving them compassion, proximity and comfort will only help them develop a healthier brain function and won't spoil anything except maybe someone else's perception of your parenting.
And if the choice is between your child's brain and someone else's approval...it's not much of a choice really.
The difference between consequences and punishment is important to understand, as consequences are the natural outcome of an action and necessary for learning, while punishments are intentional pain inflicted to control behavior, which can damage the parent-child relationship and hinder a child's growth towards internal security.
Learn how to foster secure attachment with your child by being a consistently responsive and connection-focused parent, and don't beat yourself up for not being perfect - the important thing is to focus on repairing and staying dedicated to the relationship.
In this video, the speaker discusses time outs from a perspective based on attachment research, emphasizing the importance of taking breaks to help reset our brains when we are dysregulated and the need for calm co-regulation rather than isolating with shame or pain as a lesson, adding that the lesson we want to teach is that our bodies need breaks sometimes to calm down so our brains can make good, safe choices - and this lesson applies to marriages as well!