Nucleophilicity often parallels basicity, as my professor once told me.......BUT not always. Consider LDA, DBU, CH3S-, CN- and t-butoxide. These are very powerful nucleophiles but weak bases. Often the reason lies with the size of these reagents, but not always. Sometimes these bases prefer to do SN2 as in the case of CN- and RS-....while LDA, and t-butoxide do E2. The explanation has to do with a reaction being controlled by charge or by molecular orbitals. For the DAT.....simple recognize the nucleophiles states above and their mechanisms, and you should be fine.
Hope this helps.
Dr. Jim Romano