Exception to the Rule
The Avatara of Hayagriva was on the full moon day in the Tamil month of Avani in the star Sravana.
It is the rule and tradition for Vaidikas to refrain from reciting the Vedas on full moon days, but an exception is made in the case of the full moon day in Avani because it is the day of the Avatara of Hayagriva.
On that day the Adhyayana Ноmа is performed and the recital of Vedas is started for beginners.
Maha Navami
The ninth day of Navaratri is called Maha Navami and is usually celebrated as Sarasvati Puja by others, but as Hayagriva Puja by ShriVaishnavas, since Hayagriva is the lord of learning and Sarasvati and others derive their greatness as patrons of learning only because of The Grace of Hayagriva.
Aksharabhyasa of children is generally undertaken on this auspicious day.
Cited from Saptagiri (August, 1994),
"Hayagriva Stotra of Vedanta Deshika" article by L. Shrinivasan