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There is also a difference between learning math and understanding math. I was taught the basics of matrix multiplication, finding determinants, solving linear
by dagw 4y ago
There is also a difference between learning math and understanding math. I was taught the basics of matrix multiplication, finding determinants, solving linear systems of equations and all the stuff in high school. I was half way to my Masters before I really understood what all those things actually where, how they related to different things and all the ways they could be used to actually solve real world problems.
- blip54321 4y agoThe term for this is transfer learning. https://learningcurrents.weebly.com/visible-learning-surface-deep-and-transfer.html https://learningcurrents.weebly.com/visible-learning-surface... It takes a minimum of about 3 semesters to be able to get linear algebra to the stage of transfer learning. There are slower ways to do it (which most people follow), but there aren't shortcuts -- there is no way high school Algebra 2 can get you there in the time allotted. That kind of high school surface learning is not a step you can skip, though: "Surface learning is critical because it provides a foundation on which to build as students are asked to think more deeply." There are a lot of shortcuts which can cut back on the number of hours, mostly by spreading out the number of years. Early surface exposure helps a lot, as does revisiting topics in different contexts. https://en.wikipedia.org/wiki/Spacing_effect https://en.wikipedia.org/wiki/Spacing_effect https://en.wikipedia.org/wiki/Spiral_approach https://en.wikipedia.org/wiki/Spiral_approach