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The phrase "a new mode of thinking" is correct and usable in written English.
You can use it when discussing innovative ideas, perspectives, or approaches to problem-solving.
Example: "In order to tackle the complex challenges of the modern world, we must adopt a new mode of thinking that embraces creativity and collaboration."
Alternatives: "a fresh way of thinking" or "an innovative mindset".
Exact(8)
Formal reasoning about computers and algorithms calls for a new mode of thinking.
Dr. Krishnamurthi helped create "Introduction to Computation for the Humanities and Social Sciences" more than a decade ago because he wanted students "early in their undergrad careers to learn a new mode of thinking that they could take back to their discipline". Capped at 20 students, the course now has a waitlist of more than 100.
This might be due to the fact that SCK is a new form of knowledge that requires a new mode of thinking.
It's not enough to tell them how photosynthesis works or how the Earth revolves around the sun - if they've learned it incorrectly somewhere along the road, it's incredibly challenging to get them to adopt a new mode of thinking.
Analyzing the problem through the lens of your expertise can stifle creativity and innovation; often, it is the thoroughly indoctrinated expert who is last to convert to a new mode of thinking.
And a new mode of thinking created in a different domain of life allowed one to perceive, distinguish, and describe it in a way which would stimulate reflections of others those participating in revolutionary social changes as well.
Similar(52)
The book "The Limits to Growth" from 1972 epitomized a breakthrough of new modes of thinking about the future, as it conveyed both an "old" belief in computer simulations and global planning as well as a deep questioning of economic growth and technology.
Newman, now in his mid-40s, says that's the result of a relatively new mode of thinking: If he's going down, he's going down fighting.
"But more than that, I believe we are standing in the antechamber of a new global economy, marked by rapidly shifting circumstances and new modes of thinking".
Routine can stifle creativity, so I try to jolt myself into new modes of thinking.
This proved to be very rewarding as they are, in general, more receptive to change and to new modes of thinking.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com