I would be careful with this, because a lot of playgrounds actually say "For children 5 to 12."
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While pushing a child is never okay, if a 5 year-old blocked another 5+ year old, they would be playing, and not necessarily construed as "bad behavior."Â The other 5 year old would say, "Hey let me through" etc.
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As a parent of a toddler and older kids, I am really sensitive to having to police my kid at the play ground because there is a child too young to be on the equipment . . . Â
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I think if you need to be on the equipment with your child then they are possibly too young to be there? Maybe come at a time when the older children are in school or find a play ground specifically for younger kids--under 5? My younger kids love to explore wooded area, or play on a log, etc...
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I agree in a sense that yes, the public park is for everyone, but that means other kids, too. And older kids aren't little adults. When I watch my 5 year-old play with her friends, they do stuff that I would be totally annoyed by --but her friends and her are having fun. There are studies that show that a certain amount of rough housing is good for children--it improves executive function.
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Now I don't know the specifics of each situation but I am very sensitive to kids being allowed to play on the play ground... I've had other parents tell my kids to not run on the play equipment because their much too small child was there.... um, sorry, but this is a place for children to run!Â
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... just my 2 cents.