You have posted that:
--------“One of my precious collegue, who was a confirmed teacher had given the notice period in the month of April, in her case she was serving 3 monthes notice period, i.e. april, may and june.Her notice period was accepted by the authority”
You wish to cite the precedence and you may.
The employer/authority has the discretion and can waive off the notice period/pay.
----------“Nowhere it is stated that I cannot give notice period during summer holidays in the contract.’
It is general law that whenever there is any ambiguity in terms of contract then benefit of doubt will given to party who don’t make the contract.
Gossip and rumor can not be rules.
If the authority claims it is a rule then it has to produce the printed, circulated version of the policy/rule.
Then the question can arise: which will prevail, the contract of service or service rules?
--------“the school had asked the teachers to join back the school on 29th Juneand i did that.”
The employer shall pay the salary for the days worked.
---------“when I am entitled to get the salary of the month of june then why cant I serve notice period for the month?”
Look into the acknowledgment/acceptance of the notice of resignation/resignation issued to you by the employer/authority, and the relieving date if any issued to you.
Has such a communication acknowledging/accepting notice/resignation been issued and supplied by authority?
The authority could have issued a clear communication.
All said and done question arises; if the notice period/pay is not waived off then how would you claim that you have served notice period?
Usually the paid holidays/off days are counted in period of service and notice period…………………….
If the employer wishes to cite that notice period of 30 days imply 30 days worked (excluding off days etc); there should be explicit communication/statement in contract of employment/standing orders…………………….
--------Still the employer does seem to have some logic that vacation implies no presence at workstation.
While you seem to counting on ambiguity………………………….in contract of employment, service rules/policy/HR policy……………………………..etc ( if at ball these exits and are circulated or kept in knowledge domain of the employee).
Employee should try by applying exceptional levels of rapport/goodwill/persuasion/persistence/reasoning/negotiation skills…………………………………………..and resort to legal recourse if all efforts fail.
Apply your skills and get a waiver.
This shall be the quickest and easiest soloution.
If there is a need and logic to pursue the matter legally approach a competent and experienced service lawyer near you.
If your lawyer confirms the force and merits in your contention you may choose the most suitable option………………………
Remain gentle and reasonable.
The next employer may demand proper relieving, clean reference check……………… by past employer
You may proceed as deemed fit at your end.