"insightful way" is correct and usable in written English.
You can use it when you are wanting to describe something that has been done thoughtfully and with a lot of understanding or foresight. For example: "The way John handled the problem was in a very insightful way."
This stage looks at the crisis response in a more comprehensive, analytical and insightful way so that lessons are learnt and insights developed for any future crises.
The premise was simple: "to illuminate Wall Street culture in an entertaining and insightful way".
The purpose of an infographic is to consolidate a large amount of information and present it in an appealing and insightful way, making it easy and interesting to digest.
But there may be a still more generous or insightful way to explain why Cecil is a headline and so many other wounded animals, not to mention humans, are not: the story of his death provokes deep feelings about injustice and unfairness.
Franzen may be tiresomely preoccupied with the ways in which new technologies are threatening the life of the mind (what other writer would make a book trailer about being reluctant to make a book trailer?), but in his vexing and insightful way he articulates a common sense of unease about the advent of video advertisements for literature.
You wouldn't want to live in Harpurhey or Westcliff but at least via the power of 'Chav-O-Vision' you can get to see how feral scallys smoke weed all day and heroin addicts 'graft' stolen goods in a frank and fair, non-gawpy and non-patronising, compelling and insightful way.
From our perspective, it was really refreshing to see people learning the concepts we are now so familiar with and grappling with them in entirely novel and insightful ways.
It sounds slightly over the top, but Engberg believes artists are the vanguard of society, calling them the "forward thinkers" who dream up improbable but insightful ways of reimagining the world.
As this implies, Salonen's approach to the score was not balletic but symphonic, evoking 1930s Leningrad more readily than 1590s Verona, and illuminating Prokofiev's purely orchestral achievement in some startlingly insightful ways.
Reid, along with his one-time mentor Craig Raine, is an exponent of so-called Martian poetry, which self-consciously strives to use curious visual metaphors and to describe the familiar in unfamiliar and insightful ways, as though through the eyes of a Martian (Raine's 1979 collection of poetry A Martian Sends a Postcard Home is a key text).
But since they're not themselves having sex here or inventing anything sexual or even talking about sex or art or media in especially insightful ways, they don't cohere into anything but a collection of their own — a point Nicholson himself concedes, ruefully, in the book's final chapters.
