At 32 months, children typically demonstrate a good grasp of fine and gross motor skills, language development, and social-emotional abilities. They can usually walk, run, hop, and jump, and may be able to kick and throw a ball. They may also start to learn simple routines and understand more complex instructions. Additionally, they are beginning to form friendships and show more independence. 

Physical Development:-

Gross Motor Skills: Can walk, run, hop, jump, and climb stairs. 

Fine Motor Skills: Can draw a shape or two, put together a simple puzzle, and might be able to draw with some wrist action. 

Coordination: May try to catch a large ball, throw it overhead, and kick a ball forward. 

Other: Can stand, balance, and hop on one foot, pedal a tricycle, and climb up and down a small slide. 

Speech and Language:-

Vocabulary:-

Uses pronouns correctly and may have a vocabulary of around 200-1000 words. 

Sentence Structure:-

Speaks in two- and three-word phrases or sentences and can follow directions with multiple steps. 

Comprehension:-

May understand more complex instructions and can name things in a book when pointed to. 

Social and Emotional Development:

Social Interaction:-

Interested in other kids and may start making friends. 

Independence:-

Shows more independence and may start to get dressed without help (except for buttons and fastenings). 

Behavior:-

May still struggle with sharing and being polite but is beginning to learn some social graces, such as "please" and "thank you". 

Emotional Range:-

Experiences a wider range of emotions and may have strong reactions to things, which can manifest as tantrums. 

Other Notable Points:

Teething:-

May experience the last bout of teething with the 2-year molars making their appearance around this age. 

Sleep:-

Sleep needs are still around 11-14 hours per day. 

Feeding:-

May start to eat with a spoon and fork and may also be able to drink from a cup. 

Potty Training:-

This may be a good time to start potty training, as success is often higher when started between 27 and 32 months.