benjamin dickman
@benjamindickman.bsky.social
K-12 math educator 🪄♾️
Brookline to Nanjing to NYC
Amherst College BA
Fulbright Program x2 (🇨🇳+🇵🇭)
Teachers College, Columbia University PhD
past BU Wheelock (postdoc, Math Edu)
cocreated original word game: #FiddleBrix
http://tinyurl.com/bmdmaths
Brookline to Nanjing to NYC
Amherst College BA
Fulbright Program x2 (🇨🇳+🇵🇭)
Teachers College, Columbia University PhD
past BU Wheelock (postdoc, Math Edu)
cocreated original word game: #FiddleBrix
http://tinyurl.com/bmdmaths
different Tue solve #2solve from the other two, fingerpainting:
01010000 01001001 01000111 01001101 01000101 01001110 01010100 00100000 01010100 01001111 01010101 01000011 01001000 01000101 01010010
01010000 01001001 01000111 01001101 01000101 01001110 01010100 00100000 01010100 01001111 01010101 01000011 01001000 01000101 01010010
November 11, 2025 at 2:59 PM
different Tue solve #2solve from the other two, fingerpainting:
01010000 01001001 01000111 01001101 01000101 01001110 01010100 00100000 01010100 01001111 01010101 01000011 01001000 01000101 01010010
01010000 01001001 01000111 01001101 01000101 01001110 01010100 00100000 01010100 01001111 01010101 01000011 01001000 01000101 01010010
looking forward to it!! definitely RE: easy to lose
November 11, 2025 at 2:13 AM
looking forward to it!! definitely RE: easy to lose
yeah. too easy to lose to the sands of time, and math edu doesn't have great ref request options
November 11, 2025 at 2:11 AM
yeah. too easy to lose to the sands of time, and math edu doesn't have great ref request options
Play With Your Math dotcom
November 11, 2025 at 1:40 AM
Play With Your Math dotcom
very cool, the reference list alone would make for a fascinating course
November 10, 2025 at 10:22 PM
very cool, the reference list alone would make for a fascinating course
Mon #2solve, no dental work needed
01010101 01001110 01000100 01000101 01010010 01000010 01001001 01010100 01000101 00100000 01000101 01001110 01001010 01001111 01011001 01010011
01010101 01001110 01000100 01000101 01010010 01000010 01001001 01010100 01000101 00100000 01000101 01001110 01001010 01001111 01011001 01010011
November 10, 2025 at 12:43 PM
Mon #2solve, no dental work needed
01010101 01001110 01000100 01000101 01010010 01000010 01001001 01010100 01000101 00100000 01000101 01001110 01001010 01001111 01011001 01010011
01010101 01001110 01000100 01000101 01010010 01000010 01001001 01010100 01000101 00100000 01000101 01001110 01001010 01001111 01011001 01010011
i'm on a dark and delayed train, which means my selfie is reduced to emoji form. enjoy (or do not):
🧔🏻♂️
🧔🏻♂️
November 10, 2025 at 2:20 AM
i'm on a dark and delayed train, which means my selfie is reduced to emoji form. enjoy (or do not):
🧔🏻♂️
🧔🏻♂️
i simply do not know the formula offhand; i would rederive it as above if ever there was a need to use it
that such a formula can be written down, tho, is (i think) v cool
similarly i wasn't taught the quadratic formula in vertex form, but have always enjoyed deriving it
(standard form less so)
that such a formula can be written down, tho, is (i think) v cool
similarly i wasn't taught the quadratic formula in vertex form, but have always enjoyed deriving it
(standard form less so)
November 10, 2025 at 2:18 AM
i simply do not know the formula offhand; i would rederive it as above if ever there was a need to use it
that such a formula can be written down, tho, is (i think) v cool
similarly i wasn't taught the quadratic formula in vertex form, but have always enjoyed deriving it
(standard form less so)
that such a formula can be written down, tho, is (i think) v cool
similarly i wasn't taught the quadratic formula in vertex form, but have always enjoyed deriving it
(standard form less so)
early on there was an ask to teach a smattering of various letters to various exponents along w a radical sign of some sort over them
but, sqrt{xy²z³w⁴} is, frankly, fine in my reading
the cumbersome rewriting as
sqrt{xz}|yz|w²
brought neither me nor students much joy
i have disposed of it since!
but, sqrt{xy²z³w⁴} is, frankly, fine in my reading
the cumbersome rewriting as
sqrt{xz}|yz|w²
brought neither me nor students much joy
i have disposed of it since!
November 10, 2025 at 1:29 AM
early on there was an ask to teach a smattering of various letters to various exponents along w a radical sign of some sort over them
but, sqrt{xy²z³w⁴} is, frankly, fine in my reading
the cumbersome rewriting as
sqrt{xz}|yz|w²
brought neither me nor students much joy
i have disposed of it since!
but, sqrt{xy²z³w⁴} is, frankly, fine in my reading
the cumbersome rewriting as
sqrt{xz}|yz|w²
brought neither me nor students much joy
i have disposed of it since!
i loved the derivative of inverse!
for if g is the inverse of f, then we have:
f(g(x)) = x, whence d/dx yields
f'(g(x))g'(x) = 1,
and the formula for g'(x) emerges!
perhaps this is exactly how you broach it; this elegant application of the chain rule was novel to me when I first taught calc in '22
for if g is the inverse of f, then we have:
f(g(x)) = x, whence d/dx yields
f'(g(x))g'(x) = 1,
and the formula for g'(x) emerges!
perhaps this is exactly how you broach it; this elegant application of the chain rule was novel to me when I first taught calc in '22
November 10, 2025 at 1:25 AM
i loved the derivative of inverse!
for if g is the inverse of f, then we have:
f(g(x)) = x, whence d/dx yields
f'(g(x))g'(x) = 1,
and the formula for g'(x) emerges!
perhaps this is exactly how you broach it; this elegant application of the chain rule was novel to me when I first taught calc in '22
for if g is the inverse of f, then we have:
f(g(x)) = x, whence d/dx yields
f'(g(x))g'(x) = 1,
and the formula for g'(x) emerges!
perhaps this is exactly how you broach it; this elegant application of the chain rule was novel to me when I first taught calc in '22
yes, I think kids who regularly see negative numbers understand them better for addition & maybe subtraction. i think kids who use rulers a lot in their childhood understand certain fractions better, too. but it's all a wash wo strong math education: one Pershan defeats any Arctic winter, no contest
November 9, 2025 at 11:52 PM
yes, I think kids who regularly see negative numbers understand them better for addition & maybe subtraction. i think kids who use rulers a lot in their childhood understand certain fractions better, too. but it's all a wash wo strong math education: one Pershan defeats any Arctic winter, no contest
🙏🏻 neologisms abound
bsky.app/profile/benj...
bsky.app/profile/benj...
i assume someone has already coined #mathlighting for gaslighting using mathematics
but i refuse to look it up and know for sure!!
but i refuse to look it up and know for sure!!
November 9, 2025 at 6:47 PM
🙏🏻 neologisms abound
bsky.app/profile/benj...
bsky.app/profile/benj...
same second word but Afrikaans for word 1 in this Sun #2solve:
01010110 01000101 01001100 01000100 01010100 00100000 01010100 01000101 01001100 01000101 01000111 01010010 01000001 01010000 01001000 01001001 01000011
01010110 01000101 01001100 01000100 01010100 00100000 01010100 01000101 01001100 01000101 01000111 01010010 01000001 01010000 01001000 01001001 01000011
November 9, 2025 at 3:36 PM
same second word but Afrikaans for word 1 in this Sun #2solve:
01010110 01000101 01001100 01000100 01010100 00100000 01010100 01000101 01001100 01000101 01000111 01010010 01000001 01010000 01001000 01001001 01000011
01010110 01000101 01001100 01000100 01010100 00100000 01010100 01000101 01001100 01000101 01000111 01010010 01000001 01010000 01001000 01001001 01000011
very legal & very cool!
November 9, 2025 at 1:32 PM
very legal & very cool!
yeah 3 down then flip
November 9, 2025 at 2:44 AM
yeah 3 down then flip
all gems 💎
semi-related: nothing quite delighted me so much as "Observe" followed by something that was, indeed, observably true... but for which the process thru which it was noticed was entirely opaque
great stuff, should incorporate into my grades 11/12 classes tbqh
semi-related: nothing quite delighted me so much as "Observe" followed by something that was, indeed, observably true... but for which the process thru which it was noticed was entirely opaque
great stuff, should incorporate into my grades 11/12 classes tbqh
November 8, 2025 at 4:56 AM
all gems 💎
semi-related: nothing quite delighted me so much as "Observe" followed by something that was, indeed, observably true... but for which the process thru which it was noticed was entirely opaque
great stuff, should incorporate into my grades 11/12 classes tbqh
semi-related: nothing quite delighted me so much as "Observe" followed by something that was, indeed, observably true... but for which the process thru which it was noticed was entirely opaque
great stuff, should incorporate into my grades 11/12 classes tbqh
ok this is huge
scholar.google.com/scholar?hl=e...
scholar.google.com/scholar?hl=e...
scholar.google.com
November 8, 2025 at 2:13 AM
ok this is huge
scholar.google.com/scholar?hl=e...
scholar.google.com/scholar?hl=e...
right, it's the ties. i think 4 A's actually loses against the other 48 most of the time. (i could be wrong...) but that AAAAKKKK wins most of the time, like ⅔ or so.
happy to be double or triple checked!
happy to be double or triple checked!
November 8, 2025 at 1:07 AM
right, it's the ties. i think 4 A's actually loses against the other 48 most of the time. (i could be wrong...) but that AAAAKKKK wins most of the time, like ⅔ or so.
happy to be double or triple checked!
happy to be double or triple checked!
re: irdk
that's the beauty of it!!
that's the beauty of it!!
November 7, 2025 at 10:24 PM
re: irdk
that's the beauty of it!!
that's the beauty of it!!
yes if only i could edit the original phrasing...
clearly the second scenario is better for the small deck; I'm asking about each scenario separately:
In scenario 1, which deck is more likely to win? At what %?
In scenario 2, [same q]
clearly the second scenario is better for the small deck; I'm asking about each scenario separately:
In scenario 1, which deck is more likely to win? At what %?
In scenario 2, [same q]
November 7, 2025 at 10:23 PM
yes if only i could edit the original phrasing...
clearly the second scenario is better for the small deck; I'm asking about each scenario separately:
In scenario 1, which deck is more likely to win? At what %?
In scenario 2, [same q]
clearly the second scenario is better for the small deck; I'm asking about each scenario separately:
In scenario 1, which deck is more likely to win? At what %?
In scenario 2, [same q]
bless 🙏🏻
my intuition is that the shuffle doesn't matter but it's not so strong as to bet on it!
my intuition is that the shuffle doesn't matter but it's not so strong as to bet on it!
November 7, 2025 at 10:08 PM
bless 🙏🏻
my intuition is that the shuffle doesn't matter but it's not so strong as to bet on it!
my intuition is that the shuffle doesn't matter but it's not so strong as to bet on it!
worth simulating by program or gpt or irl!
November 7, 2025 at 9:34 PM
worth simulating by program or gpt or irl!