这个应该也是初中范畴的知识，可以在初中的课本上能找到这个相关知识点。
on one's own的意思是：独自地、独立地、凭自己力量、主动地、自愿地。
相似短语有：
at one's own risk adv.由自己负责
on one's own terms adv.根据自ime adv.在非工准旱闹髡
one's own nationals 同胞
one's own self 自己,本人
for one's own part as far as sb. is concerned 至于...;对...来说 eg: some young students,for this part,can stay up late
in one's own worth 自我评估中
come into one's own 得到应得的荣誉,名副其实;设法被人赏识
例句：It is possible to learn on one's own as well as with a teacher.
跟着老师学习我们可能会独自学习或是跟着老师一起学习。