In the event that any enrolled pupil ceases to attend the school in which he has been enrolled and desires to attend another public school of this State, the teacher in the school wherein the pupil was last enrolled shall furnish the pupil, upon his application or upon the application of his parent or guardian, a certificate or card, showing the date of the enrollment of such pupil and all other information required by law to be obtained at the time of enrollment. When any pupil applies for admission in any of the public schools of this State subsequent to the two enrollment weeks of the school, he shall, if he has theretofore been enrolled during said year, present to the teacher or superintendent, such certificate or card, and before he shall be so enrolled, the school teacher shall ascertain whether or not he has theretofore been enrolled during that year, and, if it be found that he has, he shall not be included among the enrolled pupils of the school to which he has thus transferred for that year, but a separate list of such pupils shall be kept and maintained and reported on a separate sheet attached to the list of enrolled pupils.