No, that board won't work with DDR3.
The physical slot of DDR3 is different to DDR2 (as in it won't physically fit), plus the chipset on the 680i would not recognize it. If you want to keep that board then you'd need to buy more DDR2 for it. If you have 3 1GB chips (which is at a slight disadvantage, as you aren't running the memory in dual channel pairs) then I guess you could keep 2 of them and then spend something like $60 on 2x2GB DDR2, i.e. bring you up to 6GB fairly inexpensively. It's usually good to match speeds of the memory, or the four-slots will default to the slowest speed or potentially cause an issue (usually in a mixed pair though).
Hope that helps.
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