some advice for my present and future playing

hello everyone, it will be a year that i have been playing piano in a few weeks, i still remember discovering andrews videos by chance and that was rellay a boost in my learning.. i played from internet tutorials and by ear using andrews tips and helps in his videos.. and april.. around apirl 20 i started taking piano lessons with a teacher.. a 45 min lesson a week + 1 hour music division a week..
i have had a big progress since and can play quite a few nice little pieces from my music book.. i use two books, one with little exercise piecese and one with pieces by composers.. every week my teacher makes me learn a few of these and we also go though new ones in class and she tells my what i have to improve etc

so i ask you.. how many hours a day should i practise( i am on pause in july and august and she gave me some homework).. ?
i practise all the pieces i have arrieved to play every day... but still i don't play that much every day. i have hear people who play like 4 hours.. and i donìt get even close to that..
and also above from my pieces.. what else could be usefull to play? i have heard of people doing scales.. when they say that they mean like doing a C maj scale and others? i have also been read about doing arpeggios of chords by 3rds .. what does that mean?

I started playing piano only a week ago, so i can only tell you what i can remember of andrews lessons, but i'd think you should play as much as you can while still having fun with playing piano. If it starts to get annoying or a chore, you are playing too much, or with the wrong set of mind. Its also better to play a few minutes per day than one hour per week.

Andrew had a lesson (i think it was #40) where he suggested how to divide your time (scale practice, learning new pieces, etc...) which also gives you some pieces sorted by difficulty.

yeah i watched the lessons and i am ging to dry dedicating a bit of the time to scale practicing..

I disagree. If you are practising seriously on the piano. then you are bound to get bored and frustrated with it at some point. This doesn't mean your playing too much, or that you should stop, it just means your practising. Practising some things can be very very boring, for example, some days I enjoy my scales, sometimes I just have to force my self to do them :p.

I suggest you do as much time as you can a day. Not all at once, if your at home, just practise a little here and there, and try to make it add up to at least one hour.

Ill stick on of my favorite quotes on the end. Its from Horowitz

"If I don't practice for a day, I know it.
If I don't practice for two days, my wife knows it.
If I don't practice for three days, the world knows it"

I have been practicing for hours, but that's been on days where I've really enjoyed it. I've had moments where i've been in a bad mood, but not because I havent enjoyed it, but because I havent nailed what I was supposed to nail.

First of all you have to ask yourself, how good do you wanna become? You can play 1 hour a day or 4 hours a day, some of us play more too. If you feel you're ok with your progression, then 1 hour is good. If not you might wanna consider playing more.

Scales are the building blocks of music and arpeggios are broken chords played in a sequence to make it more interesting. Lots of info about these things on this forum.

i am now dedicating about 1 hour a day to piano playing.. broken up around the day in little moments.. i usually dedicate a period to scales, a bigger period to practicing my new songs and revising the old ones and go over this again and again..
my teacher have me quite a bit of homework so i have made a schedule of the amount of time it will take to learn all these pieces in two months starting from the begginging of july.. i have done good for now, and am up to the 7th song that is short and i should master in a day or two.. thne i have another two.. and i hope to finish at least one of the two within july.. if not both.. in any way i must know them both within the first week of august...
august will be dedicated to the exercises she gave me and to start tackling "sonatina in G" wich i am going to play at the end of the course.. but probably i will have done harder pieces by then .. ( half through november)

Download from archive.org a book titled Great Pianists on Piano Playing by James Francis Cooke. "Seldom practice over four hours a day." But I guess it depends on your goals.