1) The mother is proud of her son. 妈妈为她的儿子感到自豪 2) They are proud of their accomplishments 他们为自己的成就感到自豪。 be proud of ``````` 为（某人或某事）感到自豪

1) The mother is proud of her son. literally translate to 妈妈为她的儿子感到骄傲（or 自豪), but in china we will say "妈妈以她的儿子为荣（or 傲） 2) They are proud of their accomplishments. literally translate to 他们为自己的成就感到骄傲（or 自豪） if you tranlate to 他们以自己的成就为荣（or 傲),the later one is more better. hope that is helpful

besides what phoefejia mentioned ,you can also use 骄傲. 妈妈为她的儿子感到骄傲；他们为自己的成就感到骄傲~

1）儿子是母亲的骄傲。 2）他们为自己取得的成就感到自豪。（中性） 他们以功臣自居。（贬义）