Assalamu ‘alaykum Wa Rahmatullah.

A menstruating Woman, or anyone in a state of Janabah (when Ghusl is necessary) are not allowed to read the Holy Qur’an  (whether by looking or off by heart) or to touch the Holy Quran using any part of the body. [al-Jowharah al-Nayyirah, p.39]. 

They are also not allowed to touch that piece of paper on which a verse of the Holy Qur’an or a Surah has been written. [ibid.]

If the Holy Quran is wrapped in a cloth then there is no harm in holding it. [ibid.]

To use a sleeve, or any part of the clothing which is worn on the body, to touch the Holy Quran is not allowed. [Bahar-e-Shariat, vol.2, p. 379]

Therefore, a female teacher who is in that state is not allowed to wear gloves and touch the Holy Qur’an. It needs to be an external piece of clothing which is not worn at the time of touching the Holy Qur’an.

It should also be borne in mind, that such teachers teaching Holy Qur’an to the students should teach it by breaking the sentences into single words and taking breaths in between (to teach in few words together or in full sentences is forbidden). [al-Fatawa al-Hindiyya, vol.1, p.38]

I hope this answered the question

Allah Knows the best and His Knowledge in Most Complete

Muhammad Husain Qadri