The phrase "demonstrate an understanding" is correct and usable in written English. You can use it to refer to a situation in which someone is showing that they have a good comprehension of something, for example: "The student was able to demonstrate an understanding of the language by speaking in complete sentences."
The CDU Christian Democratic Unionn) in Schleswig-Holstein is appealing for refugees to demonstrate an understanding of basic German law before they are granted the right to stay in Germany.
Be able to talk through a news story and demonstrate an understanding of the issues raised.
Emergencies are opportunities to demonstrate an understanding of priorities, a sense of what matters most.
The most important goal at this stage is to demonstrate an understanding of the other person's point of view.
Goal: Establish strong patient-doctor relationships, and demonstrate an understanding for each patient individually.
They then individually create a work of their own that pays homage to a Rauschenberg to demonstrate an understanding of his aesthetic sensibility.
To be accepted on a course, you'll need to demonstrate an understanding of social work and an awareness of the challenges facing those in the profession.
These include being able to demonstrate an understanding of key computer science concepts and approaches such as algorithms, data representation and logic.
Undergraduate training in economics is less important, though applicants should demonstrate an understanding of what constitutes economics as an academic discipline.
Two English faculty members judged the 10 finalists on vocal interpretation skills such as enunciation, emphasis and projection, skills that demonstrate an understanding of the poem and poet.
Ask around, check references, and approach agencies that demonstrate an understanding of companies in your space.
When I feel like I can't trust my brain 100%, Ludwig really comes in handy. It makes me translate and proofread faster and my output more reliable.
Claudia Letizia
Head Translator and Proofreader @ organictranslations.eu