I know this is a common behaviour between boys, but also I found out that this behaviour is learned (from fathers or older peers); it turned to be dangerous when years ago an older kid almost chocked his little brother and I had a serious conversation with their father. It stopped!

A six years old coming from school I'm sure he is full of energy; try to wait ready for him to stay and play outdoors (get his snacks ready to go), school ages are more active and they creave for physical activities y did work with them and I used to keep them pretty much really busy mostly in the parks or going for nature walks to collect things, etc. I have designed areas just for children (so I do not have to say "no" constantly); areas to dance, jump, areas to do arts and crafts, areas to read and be quiet, areas to choose and work independently with different little projects for them (it really attracts their attention and keeps them busy even parents cannot believe how quiet it is when they arrive at pick up time). Over the years I have mostly boy groups, and there is a big difference when taking care of them, I realized that actually it was me who had to change; get all my energy and wait for them ready to enjoy our active days. Even painting with water with big paint brushe's our fence will be entertaining for them or big card board.boxes (found during recycle time); Giving them real nut and bolts and other grown up tools (hAndy husband's idea) worked; my little ones will be so ancious to do what the big Kids where doing, we baked outdoors, they did bird feeders, they builted breaches, cars, boats, etc. All using recycled materials.

My program is based on hands on. And a probably 80% outdoors, the feedback from parents are that their children have good sleeps, they're happy to start the next day, they have good appetites and overall happy kids.

Also in winter, I just wear extra pants and we're out, we bundle the babies a.bit more and they're out. Only in harsh days we keep indoors but also I have already set big projects for them for those days.

Try the best to enjoy it with them, they will appreciate it and you'll be less stressed. If your furniture is to inviting for them to jump then probably you can set and area to do so. If you say no, the teachers say no, the parents say no, what is left for them to do?

Start thinking in all kinds of activities that you'll be happy to say "yes". It will absolutely change your day. Good luck.