while someone could type out a long-winded reply filled with gobbledygook and whimsy, lectora has already done this for us in the help section. click help, search for 'input text' and click on the topic 'adding an entry field'.
on your results page, create an action:
on show
change contents
target: myStudentNameTextFieldOnThisPage
value: myEntryFieldVariableOverOnThatOtherPage
viola!