My DD will be 3 in December.
Mornings are out of house busy, usually doing one thing active and a quiet thing after so;
Swimming, balance bike, exploring new places, walk, play ground, paddling and exploring the shallow river (I'm talking 5cm here!), Play group, scoot round the park, visiting people, squirrel hunting/duck spotting etc
Sometimes followed by a café visit (babycino!), Or library or reading, picnic lunch wherever we are or occasionally do the top-up food shop.
Afternoons spent at home.
Drawing,
puzzles,
lego/Duplo,
Magna tiles,
sand pit,
wooden train tracks,
cars,
balls through a big tube,
dolls (dressing and undressing, caring for them etc)
fort building,
reading,
role play,
sorting,
singing,
baking,
tidying up,
laundry (she has her own little washing line and pegs some clothes out on there ha ha and loves helping move stuff to tumble dryer etc)
Flash cards. She loves letter flash cards.
As for board games etc we like
- My First Orchard (by Haba)
- Animal stacking game
- Snap
- memory games (the ones with the tiles all turned over, and you flip them over)
- shut the box (modified. She rolls one die, counts the spots and flips the corresponding number up or down...game ends when she loses interest ha ha)
These are all great for introducing the idea of taking turns, fair dice rolling (eg, roll it and accept the results!), How to model winning and losing (especially the Haba game as it's cooperative), as well as number recognition, colour matching etc.