i LOVE this post... i think this is the exact reason i find calculus to be the most satisfying math... the “ah-ha” moment from doing riemann sums and then learning integrals was blissful
I remember having such a hard time with calculus until seeing the visualizations of rates of change, tangent lines, and areas under curves -- made so much sense after that!
So true, that in science we almost never know anything for certain. I like the phrases “the data support the conclusion that…” or “I am persuaded by the evidence that….” That leaves the door open to new evidence, or as I once heard a leader in my company say, “we reserve the right to get smarter tomorrow.”
Ooh, that's a good quote. I'm not too persnickety when grading students' written work, but if they turn in labs that say things like "yep, I proved that energy was conserved" the ole red pen starts a-clickin'
i LOVE this post... i think this is the exact reason i find calculus to be the most satisfying math... the “ah-ha” moment from doing riemann sums and then learning integrals was blissful
100%
I remember having such a hard time with calculus until seeing the visualizations of rates of change, tangent lines, and areas under curves -- made so much sense after that!
So true, that in science we almost never know anything for certain. I like the phrases “the data support the conclusion that…” or “I am persuaded by the evidence that….” That leaves the door open to new evidence, or as I once heard a leader in my company say, “we reserve the right to get smarter tomorrow.”
Ooh, that's a good quote. I'm not too persnickety when grading students' written work, but if they turn in labs that say things like "yep, I proved that energy was conserved" the ole red pen starts a-clickin'