"ponder how" is correct and usable in written English.
It is generally used when asking someone to think deeply about something, and can be used in a variety of contexts. For example, "We should ponder how to best use our resources in a sustainable way."
As you ponder New Year's resolutions, don't overlook the benefits of taking some steps to plan your future.
He can give the Titans and the Rams, both wide-eyed arrivals at the Super Bowl, plenty to ponder this week.
"Did you remember to scatter a few spear points and arrowheads back there for future generations to ponder?" August 7, 2014.
The fate of Prince Siegfried has been his to ponder since 1980, when he made his debut in the role, a year after he joined Ballet Theater as a dancer.
The Phillies are close enough to first place to cause the Mets to ponder last September's disintegration, but Moyer does not believe they are doing that.
Starting with his first apprentice pieces in the late 1830s, he had been testing and tweaking the rules of established art practice in a way that frequently piqued his critics and still gives his admirers much to ponder today.
It is "absurdly early" to ponder 2016, Professor Birdsell acknowledged, but Mr. Cuomo "would not look odd at a Democratic convention," with positions on budget-cutting, for example, that are "really kind of spot on with national sentiment at this point".
The Yanks would win again on Saturday, then split the Sunday doubleheader and leave town with another pennant in their pocket, while the White Sox were left to ponder next year.
To ponder: This week's cover of Time magazine, which features a photograph of Jamie Lynne Grumet, a twenty-six-year-old mother of two, breast-feeding her three-year-old son.
Some questions to ponder this weekend, friends.
Not much for Tony Pulis to ponder this week.
