Partly on topic, perhaps someone here can give me a helping hand in my attempt to level-up intellectually. A heavy obstacle for me is that I have a hard time thinking in terms of math, numbers and logic. I can understand concepts on the superficial level and kind of intuitively “feel” their meaning in the back of my mind, but I have a hard time bringing the concepts into the frond of my mind and visualize them in detail using mathematical reasoning. I tend to end up in a sort of “I know that you can calculate X with this information, and knowing this is good enough for me”-state, but I’d like to be in the state where I am using the information to actually calculate the value of X in my head. When approaching a scientific or mathematical problem, I often find myself trying hard to avoid having to calculate and reason, and instead try to reach for an “intuitive” understanding in the back of my mind, but that understanding, if I can even find it, is rarely sufficient when dealing with actual problems.
So I’m just throwing this out there in case someone here might have an idea of what the hell I am talking about and be able to recommend a book, program or something that could help me begin to reach a more mathematical way of thinking. I think the ideal thing might be some kind of computer program, kind of like a game, that forces me to reason in that way before progressing (or simply a generator/collection of applied mathematical/statistical/probability theoretical problems). I don’t know though, any comments are highly appreciated.
Partly on topic, perhaps someone here can give me a helping hand in my attempt to level-up intellectually. A heavy obstacle for me is that I have a hard time thinking in terms of math, numbers and logic. I can understand concepts on the superficial level and kind of intuitively “feel” their meaning in the back of my mind, but I have a hard time bringing the concepts into the frond of my mind and visualize them in detail using mathematical reasoning. I tend to end up in a sort of “I know that you can calculate X with this information, and knowing this is good enough for me”-state, but I’d like to be in the state where I am using the information to actually calculate the value of X in my head. When approaching a scientific or mathematical problem, I often find myself trying hard to avoid having to calculate and reason, and instead try to reach for an “intuitive” understanding in the back of my mind, but that understanding, if I can even find it, is rarely sufficient when dealing with actual problems.
So I’m just throwing this out there in case someone here might have an idea of what the hell I am talking about and be able to recommend a book, program or something that could help me begin to reach a more mathematical way of thinking. I think the ideal thing might be some kind of computer program, kind of like a game, that forces me to reason in that way before progressing (or simply a generator/collection of applied mathematical/statistical/probability theoretical problems). I don’t know though, any comments are highly appreciated.