"share their thinking" is correct and usable in written English.
You can use it when you are discussing an idea or opinion that two or more people have and you want them to share it with others. For example, "The students discussed their answers to the math questions and then shared their thinking with the rest of the class."
The interactive whiteboard afforded rich opportunities for children to collaborate and share their thinking.
Instead, they embark on a series of broad, one-way communications (for example, town halls or webinars) to share their thinking.
A common alternative to random call is to ask for students to volunteer to share their thinking.
I couldn't get any of my three high school seniors to get out of Good Girl or Good Boy mode to share their thinking.
A second instructor behavior that participants saw as promoting a sense of community occurred during a whole-class discussion when an instructor explicitly asked for a volunteer who had not yet spoken that day to share their thinking.
We offer some thoughts and questions about the contests in our blog, Opinion L.A., and we invite readers to share their thinking.
GE's and IBM's engineers could likely help each other solve renewables' storage limitations, for example, if they shared their thinking and basic approaches.
But Mr. Bishop's electoral success suggests that even in the most rural and impoverished districts, a significant number of white Southerners can overcome race as an absolute obstacle to voting for a black politician who shares their thinking, votes their interests and hauls home plenty of pork.
I am grateful to the committee and to the hundreds of community members who shared their thinking on the issues involved.
During their interactive lesson with NASA experts, the students from around the world shared their thinking on the best location to land a Mars rover, compared and contrasted the Red Planet's geology with Earth's, and watched amazing footage of the Mars Curiosity's first landing.
Existing approaches have difficulties in supporting designers to structure and share their design thinking while they are performing practical tasks.
