One thing I will always appreciate about Feynman as a teacher is that he never shies away from telling you why things work the way they do. I've spoken with a lot of people who "hate math" and it's almost always because they never had a teacher that went into the whys and wherefores behind equations, tables, graphs, etc.
Here we have a plainspoken yet rigorous explanation of what algebraic operations actually mean (addition is iteratively adding 1 b times; multiplication is iteratively adding ab times; exponentiation is iteratively multiplying by ab times, etc.).
I wish more students would have the chance to build up such intuition, for such intuition is the key to keeping oneself interested in math and not finding that one "hates" it.
Here we have a plainspoken yet rigorous explanation of what algebraic operations actually mean (addition is iteratively adding 1 b times; multiplication is iteratively adding a b times; exponentiation is iteratively multiplying by a b times, etc.).
I wish more students would have the chance to build up such intuition, for such intuition is the key to keeping oneself interested in math and not finding that one "hates" it.