I am 25 and have been studying mathematics on my own for several years, but I am still between the middle and high school levels.
My main weakness is my dyslexia. I sometimes forget words or confuse them without even realizing it, unless someone points out that I'm talking nonsense.
I also have a big lack of intuition. For example, I know that an equation like $x\mapsto ax+b$ with $a,b\in R$ represents a line. I can prove it, but when faced with a concrete case, I struggle to see the line behind the symbols. It's the same with the set of points $(x,ax+b)$ when $x$ describes $R$.
If I see written $(a+b)^2=a^2+b^2$, I might not necessarily realize the mistake, even though I have known the identity $(a+b)^2= a^2+2ab+b^2$ for years. It's not intuitive for me compared to $1=2$.
If $a>b$ and $c>d$, I know I can't write $a/c>b/d$ but once again it's "by heart". I am perfectly capable of making the mistake and not noticing it despite several reviews. Again, I am capable of proving it's false, but it's not obvious like $1=2$. I've tried to turn it over in my head by visualizing the real line, visualizing a histogram, etc.
Not long ago, I got stuck on a problem because I didn't recognize that $2n + 1$ where $n$ is an integer, is just the sum of two consecutive integers. It's silly, but that's how it is with everything.
Despite my efforts to prove everything, to make analogies, spaced repetitions over time, apply the Feynman technique, and others, I cannot develop a mathematical intuition. I also tried tutoring without noticing any progress.
After reading "The Prince of Mathematics" about Gauss, I tried to construct mathematics by myself and derive new results, but my limited intuition and creativity didn't lead to success.
My thinking is mainly through an internal monologue. I've tried to slow it down to promote more intuitive thinking, in images or sensations, but it wasn't conclusive.
To be precise, I've been back to studying mathematics for four years, dedicating an average of 15 to 20 hours a week to this discipline, but I often revise the same concepts without seeing any evolution. I even feel like I'm regressing at times. I know there are many teachers on this forum. Have you ever encountered a student facing such difficulties? If so, how did you proceed to help them?
Thank you.