> We need more people teaching math through visual intuition.
I would modify that slightly and say rather just through "intuition". Visualization helps a lot, but you can also have great intuition from situations, stories, feelings, etc (anything that hits the non-reasoning part of the brain i.e. your "gut feeling"). IMHO one of the biggest problems in mathematics and science education is that we spend too much time working on things which humans are bad at (precise calculations) and far too little doing the 'rough estimation' and 'intuition' work which we have been evolutionarily optimized for and which is essential to us for actually remembering and understanding how things work.
I'm learning linear algebra and found that watching a
Strang OCW lecture, internalizing it in "his voice" and then doing a few problems from his textbook book while "listening" to him (in my head) has helped my intuition more than anything else. Reading the book "in his voice" makes it easier to understand, too.
it stands to reason that language has a strong affinity to sound. Because, well, there's magnitudes more time in history to develop that compared to text-reading skill.
I would modify that slightly and say rather just through "intuition". Visualization helps a lot, but you can also have great intuition from situations, stories, feelings, etc (anything that hits the non-reasoning part of the brain i.e. your "gut feeling"). IMHO one of the biggest problems in mathematics and science education is that we spend too much time working on things which humans are bad at (precise calculations) and far too little doing the 'rough estimation' and 'intuition' work which we have been evolutionarily optimized for and which is essential to us for actually remembering and understanding how things work.