Sadly, I am not among such mothers. Whatever Mother says is to be disapproved by the child. See how long it takes for Mother to crack. When I finally realized what was going on, the bored basket was invented. The range of activities can be very wide, and suited to a child's age and ability.
Diversity is a great ally.
The I'm-bored announcement is rewarded with a trip to the bored basket. The mother-rescuing catch is that whatever slip comes randomly out of the basket must be done before another is chosen. Not infrequently, the occupation, even when small, grows into something more absorbing, and boredom ceases to be an issue. Whenever possible, let the child re-create summer for you. Moments, largely unfettered by demands from school, sports, lessons of all kinds, and other activities and responsibilities, are all too precious.