Student
late Middle English: from Latin student- ‘applying oneself to’, from the verb studere, related to studium ‘painstaking application’.
wiktionary
From Middle English student, studient, from Old French estudiant, estudiente, from Latin studēns, present participle of studeō(“dedicate oneself to, study”). Equivalent to study + -ent.
etymonline
student (n.)
late 14c., from Old French estudiant "student, scholar, one who is studying" (Modern French étudiant), noun use of past participle of estudiier, from Medieval Latin studiare "to study," from Latin studium (see study (v.)). An Old English word for it was leorningcild "student, disciple."
Student-teacher in reference to a teacher in training working in a classroom under the supervision of a head teacher is from 1851, American English (pupil-teacher in the same sense is by 1838).