...I honestly can’t remember anymore what it’s like to look at the world without knowing calculus. How do you figure out how any rate of change relates to anything else?
...I honestly can’t remember anymore what it’s like to look at the world without knowing calculus. How do you figure out how any rate of change relates to anything else?
By, basically, intuitively grasping the most rudimentary aspects of and implications of calculus. (Or by learning the relationship explicitly or by learning one such relationship and intuitively extrapolating principles from one domain to another.)
It might be good practice to imagine maps without calculus since so many people use them. I wouldn’t be surprised if beliefs in things like global warming were divided by the knows-calculus line. How could you even explain climate change to someone who didn’t understand that Temperature = dEnergy_in/dt—dEnergy_out/dt + C?
How could you even explain climate change to someone who didn’t understand that Temperature = dEnergy_in/dt—dEnergy_out/dt + C?
I would probably start by talking about electric heaters and how they convert energy to heat, and generalize a little to talk about the atmosphere being kind of like that. The harder part is explaining that the same energy input can cause not only temperature increases, but changes to wind and precipitation patterns.
...I honestly can’t remember anymore what it’s like to look at the world without knowing calculus. How do you figure out how any rate of change relates to anything else?
By, basically, intuitively grasping the most rudimentary aspects of and implications of calculus. (Or by learning the relationship explicitly or by learning one such relationship and intuitively extrapolating principles from one domain to another.)
It might be good practice to imagine maps without calculus since so many people use them. I wouldn’t be surprised if beliefs in things like global warming were divided by the knows-calculus line. How could you even explain climate change to someone who didn’t understand that Temperature = dEnergy_in/dt—dEnergy_out/dt + C?
I would probably start by talking about electric heaters and how they convert energy to heat, and generalize a little to talk about the atmosphere being kind of like that. The harder part is explaining that the same energy input can cause not only temperature increases, but changes to wind and precipitation patterns.