Harry's pov
After figuring out his plan for the year, Harry went back to study curses, yet after another few hours of reading more and more advance curses he realized one thing- as long as he has to use fancy wand waving he would never use any of those spells which meant ether he find another way by researching wand movement or he ask a teacher, and he has enough work.
Filius's pov
Filius loves the holidays, as while teaching the students brought him joy, after many years of teaching he felt somewhat bored by the never changing curriculum. After all, even though the students changed they mostly stayed the same.
There were 4 kinds of students.
1) the talented who wanted recognition whose questions would mostly be to make sure everyone knew he is the best. Usually it would be a Ravenclaw or a Slytherin, though this year's most notable was Miss Granger.
2) the hard worker who truly liked the subject whose questions would be about the subject in class to truly understand the material. Usually a Hufflepuff or a Slytherin.
3) the lazy ones whose homework is just coping another student's work or the book while only asking questions like - "can I go to the bathroom?" They come from all houses yet the most notable ones are from Gryffindor.
4) the unpredictables who ask you questions unrelated to class that actually gives you surprises and ideas.
You can never know where they come from and when, as those students might not show up at all in a school year while in another they will appear as a group. While teachers shouldn't have favorites those students were his.
Just thinking about the revolutions each student of the fourth group created in society and his mind Filius was content with staying a teacher and not changing his occupation to a more exciting careers like curse breaking.
A few notable ones were:
Severus Snape who created his own jinxes by the age of 14 by asking about the difference between levitation and summoning and combined them to make his Levicorpus jinx.
Fred and George Weasley who although are only third years can use charms way higher level in their pranks and use basic charms brilliantly, such as Ascendio, Arresto Momentum and Depulso to make them sort of fly last year when Minerva said they can avoid detention when they learn to fly without brooms.
And of course, Harry Peverell, who while not the best in class, asks the most interesting questions which made him study again the theoretical studies so he would be able to have the answers mr. Peverell needs.
So, although he was enjoying the peace and quite the holidays brought him, when he saw mr. Peverell standing at the door he started getting exited and told him to come in.
"Hey, professor. I know it's Christmas, but I am stuck on a problem."
"Mr. Peverell, my door is always open to students with interesting topics of discussions and love for charm."
"Well, I read a book on the topic of spell words and the need of them for intent, and while it is said silent casting is possible and that most advance studies and duels are done that way, it made me think about wand movements, while I understand it's about the math the way you move your wand and that it's an option of study in third year, I don't understand the need for them. After all, I am sure in duels or life and death situations, if you want to use a basic transfiguration, you can't have 10 seconds to change a rock to a dog by following the needed wand movements, or if you see someone fall of a tower, do you really need the swish and flick to use a quick levitation charm?"
That was the reason Filius loved the unpredictable group of students, while hearing this question before, most of the students who ask them were in the six and seventh years with dangerous career choices in the future.
If he ask this question now, what would he ask next year?
"It is quite simple actually, there are two ways of casting without wand movements, the first one is called point cast, it is hard to do and mostly impossible to do with most transfigurations and advance charms, actually the easiest subject to study point cast in is DADA as most dark charms have less wand movements.
What you basically do with wand movements is by-pass the Arithmancy requirements to use a spell and instead use a pre-made formula of a spell someone already created. In point casting you have to do your own Arithmancy to cast, something much harder as you need to memorize the spell formula or create it on the spot- which is why even the most powerful wizards only have a few charms they memorize. Actually, the reason the headmaster is so appreciated in our world is that all his point casts are transfigurations which are the hardest.
The second way is resonance casting, by repeating the same spell a lot in dangerous situations the spell is so ingrained in your body, magic and wand that you can actually use the charm just by saying the name of it, this way has a lot of problems as even if it is easier to achieve, the charms intentions are changing your mind.
So, for example, if you use cheering charm in a dangerous situation you would like making people laugh, yet a torture curse would drive you to sadism.
In fact, in the war, becouse so many used the expeliamus spell, it created a generation of aurors who are unwilling to do damage to their opponents which made the war much more difficult."
After that, Filius continued having a magnificent conversation with mr. Peverell.