"think progressively" is correct and usable in written English.
It can be used when someone wants to encourage someone else to consider creative and forward-thinking solutions to problems. For example, "Let's think progressively and find ways to reduce our carbon footprint."
The organizers of a national chicken soup contest urged contestants to think progressively in the "Better Than Your Bubby's" soup competition.
"But I think during the course of that he realized that there are problems with the food-safety system, and I think progressively, philosophically, he changed from just being a plaintiff attorney to being somebody who believes that changing food safety for the betterment of public health is a laudable goal".
Don't be afraid to think progressively in how Fascism can be applied to your country.
Having Ralph Nader participate in a debate is not only the democratically right thing to do, but it will force Obama to think more progressively in his policies.
Cerebral microhemorrhages (CMHs) are associated with rupture of small intracerebral vessels and are thought to progressively impair neuronal function.
These cells are thought to progressively lose their tumour suppressor function and disappear during the transition from DCIS to the invasive phenotype.
From these reports, the deterioration of the internal environment of IVD tissues, caused by disturbance of the nutrient supply, was thought to progressively decrease synthesis, leading the IVD into early stages of degeneration.
Cerebral microhemorrhages, also known as cerebral microbleeds, are associated with rupture of small intracerebral vessels and are thought to progressively impair neuronal function (Poels et al., 2012; Lei et al., 2013).
In this process, a density-graded particulate flow is thought to progressively agglutinate (i.e., syn-deformational sintering) to a nonparticulate, viscously deformable flow, forming a rheomorphic ignimbrite [ Branney and Kokelaar, 1992].
The truth is, I think of myself progressively expanding my horizons externally and progressively declining internally.
It was when that went, and he was left to his own devices, that I think it got progressively harder".
