i have math that day还是i have math on that day?

当时间名词前有last, next, this, that时,习惯上不用介词.但不绝对.
如：
但是：
on that day还是存在的.
What happened that day was not an accident.
而那一天发生的事情不是一次意外.
OnthatdayinMarch, Imade several suggestions.就在那一天,也就是在三月份,我提出了几点建议.
所以,两种说法都正确的.