The phrase "assertions about how" is correct and usable in written English.
It can be used when discussing claims or statements regarding the manner or method in which something occurs or is done.
Example: "The researcher made several assertions about how the new technology would improve efficiency in the workplace."
Alternatives: "claims regarding how" or "statements about the way".
Again and again in his Presidential campaign, Trump has issued sweeping assertions about how immigrants are "bringing crime" to America.
Trump responded by offering up the sort of knowing assertions about how the system is rigged, which he tosses out to his supporters like coins.
The result has been to cool down considerably a category that had been positively giddy in its ebulliently optimistic assertions about how easy it was to make money by buying stocks and mutual funds.
Because the S.E.C.'s court papers detail its assertions about how securities laws were broken, "the public is not left wondering what bad conduct has occurred when we bring complaints," Mr. Martens said at The S.E.C. Speaks, a conference sponsored by the Practising Law Institute.
But major provisions of the law have yet to take effect, meaning many of the assertions about how the law is slashing hours or encouraging part-time employment are not backed by statistical evidence, economists from across the political spectrum said.
Facebook is more likely to shut down obvious grifts where businesses make impossible assertions about how their products can help people, rather than just exaggerations about their quality or value.
Because of an editing error, the article also misstated the nature of the fighting aboard the Mavi Marmara, and it paraphrased incorrectly the Israeli assertion about how the attack had begun.
This is not a very useful list, because it contains absolutely no evidence for any of his assertions — he simply assumes the existence of his risks to be a fact — and no assertion about how likely any of these "risks" are, which makes it a little hard to do a cost-benefit analysis.
Therefore, as a Black comedian, I cannot laugh or mock West's aforementioned assertion about how the African-American experience and the celebrity experience in 2014 mirror one another.
We assume the assertion about is correct.
And what of the assertions made by the author about how we are living in "tense, turbulent and, for many people, unrelaxing times"?
