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

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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.