"observations on how" is correct and usable in written English.
You can use it to introduce a description of how something is done or experienced. For example: "Observations on how the coronavirus has impacted local businesses show that many have closed permanently."
A visit last month to the Boston Museum of Fine Arts permitted some observations on how 17th-century Dutch painters viewed windmills.
QUESTION FROM VCINBC: Hope there will be some Canadians on here to offer observations on how it's going north of 49.
And alongside Dr. Grandin's rich observations on how the experience of autism differs from that of others, they make a depressingly sparse repast.
Filled with Keats's books, it includes an edition of "The Snowy Day" that concludes with Keats's observations on how art brightened his life.
Focussed, as ever, on individuals, it also manages to make acute observations on how language frames Japanese encounters with the foreign.
At 13, I was old enough to have an inkling of what the rest of my life might hold in store, and young enough to be impressed by even the most obvious of observations on how the world works.
Teaching experiments on this instructional design can not only provide a chance for closing observation on how students enhancing their scientific explanation ability around one core ideas, but also help to answer the question that in what learning outcome and at what extent students after learning integrated science unit will differ from students under traditional intervention.
To make the positive identification, researchers relied not on dental records, but on observations of how the Higgs boson decays into combinations of other, more familiar particles.
This makes for an interesting observation on how people use search on a news site.
Late in the day of hearings, Senator Lindsey Graham, a Republican, offered a wry observation on how Mr. Rumsfeld's future had become wrapped up in Mr. Bush's campaign.
This data as it stands isn't much more than an interesting observation on how we're impacted immediately by events that could be disastrous, but it could inform longer-term studies about the impact of things like earthquakes on humans over longer periods of time.
