Should Christians practice tithing to the church?

Is tithing the same as giving in the New Testament?

No.

1 Corinthians 16:2 teaches us that our giving to the Lord should be systematic and proportionate. "Upon the first day of the week let every one of you lay by him in store, as God hath prospered him." The N.T. leaves each believer free to decide before the Lord what the proportion should be. "Not grudgingly, or of necessity" (2 Corinthians 9:7) describes such giving. "If there be first a willing mind, it is accepted according to that a man hath, and not not according to that he hath not" (2 Corinthians 8:12). In times of economic depression it may be difficult for many to give a tenth. Now many believers may be able to give more than a tenth.

W. Gustafson