This podcast, based on a blog written by Dr. Rebecca Swartz, provides ideas for helping young children use mathematical thinking in everyday routines. She also highlights the Illinois Early Learning Project graphic tip sheets that contain more ideas that can help caregivers encourage children to use mathematical thinking:

https://illinoisearlylearning.org/tipsheets/counting/

https://illinoisearlylearning.org/tipsheets/shapes/

https://illinoisearlylearning.org/tipsheets/makingsense/

https://illinoisearlylearning.org/tipsheets/sort/