monitor (someone's) progress

Translations
следить за прогрессом (кого-то)
The teacher will monitor the students' progress throughout the semester.
Учитель будет следить за прогрессом студентов в течение семестра.
Definitions
To observe and track the development or advancement of an individual or group over time, often to assess performance, provide feedback, or ensure that goals are being met.
Words
progress

noun
прогресс
monitor

verb
контролировать