Over the next four years Grassmann took his teaching very seriously, yet he was able to find time to devote to mathematical research as well as concentrating on preparing himself for further examinations.
Sa loob ng susunod na apat na taon Grassmann kinuha ang kanyang pagtuturo Seryoso, pa siya ng kakayahang makahanap ng oras upang maglaan ng pananaliksik sa matematika pati na rin ang concentrating sa paghahanda ng kanyang sarili para sa karagdagang pagsusuri.