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
www.insidehighered.com/opinion/colu...
www.insidehighered.com/opinion/colu...
01010000 01001111 01001100 01011001 01001101 01001111 01010010 01010000 01001000 01001001 01000011 00100000 01000011 01010010 01001111 01010111 01000100 01010011
01010000 01001111 01001100 01011001 01001101 01001111 01010010 01010000 01001000 01001001 01000011 00100000 01000011 01010010 01001111 01010111 01000100 01010011
just googling it will yield the full PDF
just googling it will yield the full PDF
bsky.app/profile/moti...
bsky.app/profile/moti...
how many switches are required to get from 54321 to 12345?
what about the general case?
(can you prove it?!)
#MathSky 🧮 #MathsToday 🔢
how many switches are required to get from 54321 to 12345?
what about the general case?
(can you prove it?!)
#MathSky 🧮 #MathsToday 🔢
www.edweek.org/teaching-lea...
www.edweek.org/teaching-lea...
01010001 01010101 01000001 01001000 01001111 01000111 00100000 01000111 01010010 01000101 01001101 01001100 01001001 01001110
01010001 01010101 01000001 01001000 01001111 01000111 00100000 01000111 01010010 01000101 01001101 01001100 01001001 01001110
the children are DEVASTATED!
the children are DEVASTATED!
IT IS THE WAY FORWARD !
phd with a giant of math education (jeremy kilpatrick) after working as a TA for george polya
IT IS THE WAY FORWARD !
phd with a giant of math education (jeremy kilpatrick) after working as a TA for george polya
because you can take:
x^3 = 2x^2 - x + 1
and shift the exponents by n-3 to get:
x^n = 2x^(n-1) - x^(n-2) + x^(n-3)
which is what comes out of
f(n) = 2f(n-1) - f(n-2) + f(n-3)
(couldn't tell if this was already in your spreadsheet part & i missed it)
because you can take:
x^3 = 2x^2 - x + 1
and shift the exponents by n-3 to get:
x^n = 2x^(n-1) - x^(n-2) + x^(n-3)
which is what comes out of
f(n) = 2f(n-1) - f(n-2) + f(n-3)
(couldn't tell if this was already in your spreadsheet part & i missed it)
i was expecting a solution that's like, use a 0 to indicate "exclude" and a 1 to indicate "include" so that this problem equivalently asks:
"how many binary strings of length n avoid the substring 101?"
diagonalizing a matrix not on my bingo card (or in my tool kit). great stuff
i was expecting a solution that's like, use a 0 to indicate "exclude" and a 1 to indicate "include" so that this problem equivalently asks:
"how many binary strings of length n avoid the substring 101?"
diagonalizing a matrix not on my bingo card (or in my tool kit). great stuff