A Muslim mother verbally abused at a Melbourne playground and ordered to stop her child from playing with others is among dozens of attacks against the Islamic community in recent weeks.

It is one of at least six incidents nationally in which a Muslim mother has been abused, either in front of her children or while heavily pregnant, that appears on a list of abuse being compiled by Muslim community leaders.

Overall there have been 30 recorded attacks, mainly on women wearing the hijab – in the three weeks since anti-terror raids swept Sydney and the feared Islamic State stepped up their threats.

Victoria Police Chief Commissioner Ken Lay has heard anecdotal reports about Muslim members of the Melbourne community becoming the object of abuse in a heightened terror environment.