My goal with meditating was related to improving my concentration for academic reasons. At first I came across a method of meditating where I count out my breadth and avoid thinking of idle thoughts.
I had a lot of success with this method and was able to focus much more but at a later point I grew curious on what happened if I didn't count at all or didn't pay attention to my breadth at all. So I repeated this process which was now easier just without any counting or attention. I again had success but my mind was very much blank at all times, it gave me some fright, I wasn't sure if it was going to be something harmful since I usually pick up on tiny details that relate to whatever I am doing but now my mind was just blank, so I stopped practising meditation as a whole for a while.
I have recently discovered that a lot of things I have been attempting already exist so I am wondering if:
There are any better ways then what I have been doing to achieve higher levels of sustained concentration?
What end results I will face if I venture back into completely clearing my mind rather than improving its ability to focus through breadth counting?
If there are other components that seem useful to my goal that certain kinds of meditation can improve?
I also don't have much of an opinion on the forehead sensation that is commonly called a third eye but I can control it at will, I would also be wondering if there is anything particularly special about increasing the sensation or not?
Any help is kindly appreciated. I have also been gradually resuming my breadth counting meditation with success.
(edited to add:)
I am happy and my mind is calm but it is filled with songs and memories that I like but are not related to the task I am working on and as a result get me distracted from it. As such I wanted to make my thoughts silent at will so I can keep focusing on tasks which make me less happy than my thoughts do.