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When kids are bored it triggers a stress response in their brains which activates their amygdala and deactivates the prefrontal cortex, the part of the brain responsible for thinking and decision making. Which makes it impossible for them to take any of your good suggestions and put them to work.
They need you to hold your suggestions while you hold space for their emotional pain and discomfort so they can feel soothed and reconnect with their executive functioning skills Then they can pick something that will stimulate them in whatever way is right.
Learn how to support your kids through the emotional rollercoaster of going to school, especially on tough Mondays, by holding boundaries, offering comfort, and staying compassionate during the transition process.
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, learn about the power of empathy when dealing with anger, but also be warned about the limits of empathy in the context of abusive mentalities, where anger is used to justify harmful behavior.