Final answer:
While using a personal account and incognito mode may hide browsing history on your device, your online activity may still be visible to school administrators through network monitoring or installed software.
Step-by-step explanation:
The ability for teachers or school administrators to monitor a student's screen is dependent upon the school's policies and the software and network infrastructure they have in place. Even if you are on a personal account and using incognito mode, the school's network may have the capability to monitor traffic. Incognito mode primarily prevents your browser from storing browsing history, cookies, and site data, but it does not anonymize your traffic from network administrators or internet service providers. If the device is being monitored through software or if network traffic is being analyzed, your activity may still be visible regardless of whether you are logged into a school account or a personal account.