OP, imo teachers are pedestrian and teach to the lowest common denominator.
Both mine started school reading.
Go through the motions, tick the boxes, complete the reading record and nod and smile.
Meanwhile read them wonderful stories. Let them read simpler stories and tell you about the pictures. Leaf kick, patio paint, do finger painting, count the cracks in the pavement, examine stones, teach them flower names and what they smell of. Look at clouds and learn about them. Teach them the birds and their song, teach them to swim, to ride a bike, to recognise the different musical notes, explore the flight of the bumblebee and buzz around the garden with them.
Bury their feet in zillions of grains of sand at the beach, find shells, and explore rock pools. Count the shells, count the conkers, watch things grow.
Let them chop and stir for dinner. Introduce them to baking and why cakes rise. Tell them about the components that make fire.
Laugh with them, love them and enjoy everything with the. On the whe fuck school until they are a bit older.
At school they learn about others, changing for PE, being quiet, rules, making friends, independence, cause, effect and consequence, blending in, social mores, nodding and smiling and jolly well getting on with stuff.
If you can afford it, introduce them to some organised club sport and playing an instrument.
All you can do is: love them, feed them, encourage and facilitate. That's what makes teaching them formally easy.