Collection of 8 integers; the mean, median, unique mode, and range: all 8
What is the biggest possible element of the collection?
Source: AMC
Same as above, but change 8s to 5.
Source: students
Same as above, but change 8s to n.
Source: today's department meeting!
#iTeachMath ♾️ #MathSky 🧮
What is the biggest possible element of the collection?
Source: AMC
Same as above, but change 8s to 5.
Source: students
Same as above, but change 8s to n.
Source: today's department meeting!
#iTeachMath ♾️ #MathSky 🧮
November 5, 2025 at 10:35 PM
Collection of 8 integers; the mean, median, unique mode, and range: all 8
What is the biggest possible element of the collection?
Source: AMC
Same as above, but change 8s to 5.
Source: students
Same as above, but change 8s to n.
Source: today's department meeting!
#iTeachMath ♾️ #MathSky 🧮
What is the biggest possible element of the collection?
Source: AMC
Same as above, but change 8s to 5.
Source: students
Same as above, but change 8s to n.
Source: today's department meeting!
#iTeachMath ♾️ #MathSky 🧮
If we are being pedantic, which we tend to be in most Geometry classes, should we say one pile of 7 apples is congruent to a second pile of 7 apples, and not that the two piles are equal? ♾️
#iteachmath
#iteachmath
October 30, 2025 at 3:47 PM
If we are being pedantic, which we tend to be in most Geometry classes, should we say one pile of 7 apples is congruent to a second pile of 7 apples, and not that the two piles are equal? ♾️
#iteachmath
#iteachmath
problem posing context: Bingo
what would be a good problem to pose?
#iTeachMath ♾️ #MathSky 🧮
added context: i just attended a [slightly belated] Hispanic Heritage Month lunch, and there were multiple simultaneous Bingo winners. and now i have math on the mind! 🧠
what would be a good problem to pose?
#iTeachMath ♾️ #MathSky 🧮
added context: i just attended a [slightly belated] Hispanic Heritage Month lunch, and there were multiple simultaneous Bingo winners. and now i have math on the mind! 🧠
October 29, 2025 at 5:37 PM
problem posing context: Bingo
what would be a good problem to pose?
#iTeachMath ♾️ #MathSky 🧮
added context: i just attended a [slightly belated] Hispanic Heritage Month lunch, and there were multiple simultaneous Bingo winners. and now i have math on the mind! 🧠
what would be a good problem to pose?
#iTeachMath ♾️ #MathSky 🧮
added context: i just attended a [slightly belated] Hispanic Heritage Month lunch, and there were multiple simultaneous Bingo winners. and now i have math on the mind! 🧠
in #MathsToday: precalc sample questions
idk that there's anything revolutionary but have a lil fun! steal as desired; lmk if you modify and improve something
alt text: screenshots of the four problems that can be found here:
docs.google.com/document/d/1...
#iTeachMath ♾️
idk that there's anything revolutionary but have a lil fun! steal as desired; lmk if you modify and improve something
alt text: screenshots of the four problems that can be found here:
docs.google.com/document/d/1...
#iTeachMath ♾️
October 23, 2025 at 6:50 PM
in #MathsToday: precalc sample questions
idk that there's anything revolutionary but have a lil fun! steal as desired; lmk if you modify and improve something
alt text: screenshots of the four problems that can be found here:
docs.google.com/document/d/1...
#iTeachMath ♾️
idk that there's anything revolutionary but have a lil fun! steal as desired; lmk if you modify and improve something
alt text: screenshots of the four problems that can be found here:
docs.google.com/document/d/1...
#iTeachMath ♾️
NCTM 2025 in Atlanta was inspiring! Please watch the IGNITE talk by my mentor, Dr. Dawn Pilotti on how to fix Mathematics education for students with learning differences. youtu.be/YPvpfOl-lIw #iTeachMath ♾️ #MTBoS #EduSky #MathSky
Dawn Pilotti--NCTM IGNITE 2025, Elevate Student Voices
YouTube video by Dawn Pilotti
youtu.be
October 20, 2025 at 1:39 AM
NCTM 2025 in Atlanta was inspiring! Please watch the IGNITE talk by my mentor, Dr. Dawn Pilotti on how to fix Mathematics education for students with learning differences. youtu.be/YPvpfOl-lIw #iTeachMath ♾️ #MTBoS #EduSky #MathSky
new "Meet our Desmos Fellows" is up
via @desmos.com:
amplify.com/meet-the-des...
can you spot me???? #iTeachMath ♾️
via @desmos.com:
amplify.com/meet-the-des...
can you spot me???? #iTeachMath ♾️
Meet our Desmos Fellows | Amplify
Learn about our amazing cohort of Desmos Fellows, a collaborative community of innovative math educators from a wide range of backgrounds.
amplify.com
October 13, 2025 at 8:28 PM
new "Meet our Desmos Fellows" is up
via @desmos.com:
amplify.com/meet-the-des...
can you spot me???? #iTeachMath ♾️
via @desmos.com:
amplify.com/meet-the-des...
can you spot me???? #iTeachMath ♾️
Final output below! Not bad for a first month of school precalc project (polar graph grid in Desmos, trig coordinates, 3D print your own logo/trinket)
Check out the thread below for more info and photos from the journey 📐
#iTeachMath ♾️ #MathSky 🧮
@desmos.com ✨
Check out the thread below for more info and photos from the journey 📐
#iTeachMath ♾️ #MathSky 🧮
@desmos.com ✨
September 25, 2025 at 8:24 PM
Final output below! Not bad for a first month of school precalc project (polar graph grid in Desmos, trig coordinates, 3D print your own logo/trinket)
Check out the thread below for more info and photos from the journey 📐
#iTeachMath ♾️ #MathSky 🧮
@desmos.com ✨
Check out the thread below for more info and photos from the journey 📐
#iTeachMath ♾️ #MathSky 🧮
@desmos.com ✨
Finally! A citable writeup for @jennalaib.bsky.social!
And, as linked in the article, there is the trove of examples freely available at:
slowrevealgraphs.com
#iTeachMath ♾️
And, as linked in the article, there is the trove of examples freely available at:
slowrevealgraphs.com
#iTeachMath ♾️
September 21, 2025 at 2:07 PM
Finally! A citable writeup for @jennalaib.bsky.social!
And, as linked in the article, there is the trove of examples freely available at:
slowrevealgraphs.com
#iTeachMath ♾️
And, as linked in the article, there is the trove of examples freely available at:
slowrevealgraphs.com
#iTeachMath ♾️
would your #MathsToday be brightened by a practice test on logarithms? you're in luck!
docs.google.com/document/d/1...
screenshots of the linked document can be found below
#iTeachMath ♾️
other ideas for fun logarithmic practice are welcome!:
docs.google.com/document/d/1...
screenshots of the linked document can be found below
#iTeachMath ♾️
other ideas for fun logarithmic practice are welcome!:
April 22, 2025 at 1:59 PM
would your #MathsToday be brightened by a practice test on logarithms? you're in luck!
docs.google.com/document/d/1...
screenshots of the linked document can be found below
#iTeachMath ♾️
other ideas for fun logarithmic practice are welcome!:
docs.google.com/document/d/1...
screenshots of the linked document can be found below
#iTeachMath ♾️
other ideas for fun logarithmic practice are welcome!:
It posts your post into the MTBoS/iTeachMath feeds without using the hashtags. ♾️
November 13, 2024 at 12:58 AM
It posts your post into the MTBoS/iTeachMath feeds without using the hashtags. ♾️
powers 1 to 5 once each:
(2⁵ + 0⁴ + 2³ + 5¹)²
straightforward representation:
(20 + 25)²
nonsense representation:
2+0+2+5 by 2+0+2+5 times table
sum the entries
others? #iTeachMath ♾️
(2⁵ + 0⁴ + 2³ + 5¹)²
straightforward representation:
(20 + 25)²
nonsense representation:
2+0+2+5 by 2+0+2+5 times table
sum the entries
others? #iTeachMath ♾️
December 29, 2024 at 6:43 AM
powers 1 to 5 once each:
(2⁵ + 0⁴ + 2³ + 5¹)²
straightforward representation:
(20 + 25)²
nonsense representation:
2+0+2+5 by 2+0+2+5 times table
sum the entries
others? #iTeachMath ♾️
(2⁵ + 0⁴ + 2³ + 5¹)²
straightforward representation:
(20 + 25)²
nonsense representation:
2+0+2+5 by 2+0+2+5 times table
sum the entries
others? #iTeachMath ♾️
You draw one marble and record its color. Then you put the marble back in the bag. Repeat forever.
What is the probability that, at some point, the number of blue 🔵 marbles drawn exceeds the number of red 🔴 marbles drawn?
Hint: it's ≥¼ based on just the first move!
#iTeachMath ♾️ #iTeachMarbles 🟣
What is the probability that, at some point, the number of blue 🔵 marbles drawn exceeds the number of red 🔴 marbles drawn?
Hint: it's ≥¼ based on just the first move!
#iTeachMath ♾️ #iTeachMarbles 🟣
You have four marbles in a bag.
Three of them are identical red marbles and the other is a blue marble.
How many ways are there to reach into the bag and grab three marbles—two red and one blue?
Had an interesting debate today in class.
#iteachmath
Three of them are identical red marbles and the other is a blue marble.
How many ways are there to reach into the bag and grab three marbles—two red and one blue?
Had an interesting debate today in class.
#iteachmath
April 2, 2025 at 2:41 AM
You draw one marble and record its color. Then you put the marble back in the bag. Repeat forever.
What is the probability that, at some point, the number of blue 🔵 marbles drawn exceeds the number of red 🔴 marbles drawn?
Hint: it's ≥¼ based on just the first move!
#iTeachMath ♾️ #iTeachMarbles 🟣
What is the probability that, at some point, the number of blue 🔵 marbles drawn exceeds the number of red 🔴 marbles drawn?
Hint: it's ≥¼ based on just the first move!
#iTeachMath ♾️ #iTeachMarbles 🟣
The linked piece can be found in the Dec 2024 issue (the AMS Current Issue is already Jan 2025) so I've also put the text in screenshots below.
I wish more people could take a class with the author! I took Mathematical Logic and Philosophy of Mathematics with DJV. Really great stuff.
#iTeachMath ♾️
I wish more people could take a class with the author! I took Mathematical Logic and Philosophy of Mathematics with DJV. Really great stuff.
#iTeachMath ♾️
December 19, 2024 at 5:02 AM
The linked piece can be found in the Dec 2024 issue (the AMS Current Issue is already Jan 2025) so I've also put the text in screenshots below.
I wish more people could take a class with the author! I took Mathematical Logic and Philosophy of Mathematics with DJV. Really great stuff.
#iTeachMath ♾️
I wish more people could take a class with the author! I took Mathematical Logic and Philosophy of Mathematics with DJV. Really great stuff.
#iTeachMath ♾️
the question we investigated (with several starting numbers, not just 6 but all the positive evens up through 20) is:
if you repeatedly carry out this mapping, do you always get back to the original order? if so, how many iterations does it take?
for the case of 6 we got 4 iterations #iTeachMath ♾️
if you repeatedly carry out this mapping, do you always get back to the original order? if so, how many iterations does it take?
for the case of 6 we got 4 iterations #iTeachMath ♾️
December 6, 2024 at 10:41 PM
the question we investigated (with several starting numbers, not just 6 but all the positive evens up through 20) is:
if you repeatedly carry out this mapping, do you always get back to the original order? if so, how many iterations does it take?
for the case of 6 we got 4 iterations #iTeachMath ♾️
if you repeatedly carry out this mapping, do you always get back to the original order? if so, how many iterations does it take?
for the case of 6 we got 4 iterations #iTeachMath ♾️
—a different class, Problem Solving and Posing, as we gear up to explore the 2019 PCMI materials.
Closed with:
How many ways can you 2-color *faces* of a cube? Distinct up to orientation.
Follow-up:
What about *vertices* of a cube? (PCMI materials ask about *edges*... no thanks lol)
#iTeachMath ♾️
Closed with:
How many ways can you 2-color *faces* of a cube? Distinct up to orientation.
Follow-up:
What about *vertices* of a cube? (PCMI materials ask about *edges*... no thanks lol)
#iTeachMath ♾️
December 5, 2024 at 4:22 PM
—a different class, Problem Solving and Posing, as we gear up to explore the 2019 PCMI materials.
Closed with:
How many ways can you 2-color *faces* of a cube? Distinct up to orientation.
Follow-up:
What about *vertices* of a cube? (PCMI materials ask about *edges*... no thanks lol)
#iTeachMath ♾️
Closed with:
How many ways can you 2-color *faces* of a cube? Distinct up to orientation.
Follow-up:
What about *vertices* of a cube? (PCMI materials ask about *edges*... no thanks lol)
#iTeachMath ♾️
enjoyed adding up squares in squares?
might adding up enjoy cubes in cubes?
might enjoy ... more???
here is a lil PROMYS for Teachers collection of fun!
courtesy of & curated by @cshor.org:
drive.google.com/file/d/1ysxU...
cc. #iTeachMath ♾️
bcc. #MathSky 🧮
might adding up enjoy cubes in cubes?
might enjoy ... more???
here is a lil PROMYS for Teachers collection of fun!
courtesy of & curated by @cshor.org:
drive.google.com/file/d/1ysxU...
cc. #iTeachMath ♾️
bcc. #MathSky 🧮
June 17, 2025 at 10:03 PM
enjoyed adding up squares in squares?
might adding up enjoy cubes in cubes?
might enjoy ... more???
here is a lil PROMYS for Teachers collection of fun!
courtesy of & curated by @cshor.org:
drive.google.com/file/d/1ysxU...
cc. #iTeachMath ♾️
bcc. #MathSky 🧮
might adding up enjoy cubes in cubes?
might enjoy ... more???
here is a lil PROMYS for Teachers collection of fun!
courtesy of & curated by @cshor.org:
drive.google.com/file/d/1ysxU...
cc. #iTeachMath ♾️
bcc. #MathSky 🧮
Norma, coach/mentor/consultant. Montreal 🥯 IYKYK. Q1a: what does rigor and access for ALL look like? Q1b: what moves catalyze learning shifts (it’s not just the classroom teacher) to authentic student centered (dare I say student empowered?) learning spaces? ♾️ #iteachmath
November 12, 2024 at 1:45 PM
Norma, coach/mentor/consultant. Montreal 🥯 IYKYK. Q1a: what does rigor and access for ALL look like? Q1b: what moves catalyze learning shifts (it’s not just the classroom teacher) to authentic student centered (dare I say student empowered?) learning spaces? ♾️ #iteachmath
new "Federal Strategic Plan for Advancing STEM Education and Cultivating STEM Talent" just dropped 🎤🔥
#iTeachMath ♾️ #EduSky
www.whitehouse.gov/ostp/news-up...
#iTeachMath ♾️ #EduSky
www.whitehouse.gov/ostp/news-up...
Biden-Harris Administration Releases Federal Strategic Plan for Advancing STEM Education and Cultivating STEM Talent | OSTP | The White House
Since Day One, the Biden-Harris Administration has taken bold steps to advance economic opportunity, educational excellence, and workforce development. Maintaining U.S. global leadership in science, t...
www.whitehouse.gov
November 26, 2024 at 9:47 PM
new "Federal Strategic Plan for Advancing STEM Education and Cultivating STEM Talent" just dropped 🎤🔥
#iTeachMath ♾️ #EduSky
www.whitehouse.gov/ostp/news-up...
#iTeachMath ♾️ #EduSky
www.whitehouse.gov/ostp/news-up...
I’m sorry Duolingo, I have a different language to learn this Summer.
I had planned on teaching Python - alas my client refused.
Guess it was inevitable. As a pirate and tutor of calculus - neither forgets the C!
Even in playing the trumpet, one must play C#.
#iTeachMath♾️ #EduSky🍎 🧪
I had planned on teaching Python - alas my client refused.
Guess it was inevitable. As a pirate and tutor of calculus - neither forgets the C!
Even in playing the trumpet, one must play C#.
#iTeachMath♾️ #EduSky🍎 🧪
December 23, 2024 at 4:23 AM
I’m sorry Duolingo, I have a different language to learn this Summer.
I had planned on teaching Python - alas my client refused.
Guess it was inevitable. As a pirate and tutor of calculus - neither forgets the C!
Even in playing the trumpet, one must play C#.
#iTeachMath♾️ #EduSky🍎 🧪
I had planned on teaching Python - alas my client refused.
Guess it was inevitable. As a pirate and tutor of calculus - neither forgets the C!
Even in playing the trumpet, one must play C#.
#iTeachMath♾️ #EduSky🍎 🧪
it is VERY cool to see Polya actually teaching! #iTeachMath ♾️
PS: you can find my own NCTM article inspired by the idea of "guessing" here,
www.researchgate.net/publication/...
Dickman, Benjamin. "Looking back to support problem solving." Mathematics Teacher 110.1 (2016): 54-58.
PS: you can find my own NCTM article inspired by the idea of "guessing" here,
www.researchgate.net/publication/...
Dickman, Benjamin. "Looking back to support problem solving." Mathematics Teacher 110.1 (2016): 54-58.
March 25, 2025 at 9:12 PM
it is VERY cool to see Polya actually teaching! #iTeachMath ♾️
PS: you can find my own NCTM article inspired by the idea of "guessing" here,
www.researchgate.net/publication/...
Dickman, Benjamin. "Looking back to support problem solving." Mathematics Teacher 110.1 (2016): 54-58.
PS: you can find my own NCTM article inspired by the idea of "guessing" here,
www.researchgate.net/publication/...
Dickman, Benjamin. "Looking back to support problem solving." Mathematics Teacher 110.1 (2016): 54-58.
This problem always challenges students because they have trouble turning the triangles in their mind — see how they found two different scale factors? This year I finally realized I could turn this into manipulatives that they could actually turn and it was game-changing! #mtbos #iteachmath ♾️
January 16, 2025 at 1:44 AM
This problem always challenges students because they have trouble turning the triangles in their mind — see how they found two different scale factors? This year I finally realized I could turn this into manipulatives that they could actually turn and it was game-changing! #mtbos #iteachmath ♾️
i really like the idea of #MathsToday posts so here are a few regular End Behavior problems students worked on today!
12 & 13 ordinary
14 avoiding overgeneralizations from a lil bit of a graph
15 an opportunity for students to generate their own examples/problems
just some math fun!
#iTeachMath ♾️
12 & 13 ordinary
14 avoiding overgeneralizations from a lil bit of a graph
15 an opportunity for students to generate their own examples/problems
just some math fun!
#iTeachMath ♾️
November 22, 2024 at 11:47 PM
i really like the idea of #MathsToday posts so here are a few regular End Behavior problems students worked on today!
12 & 13 ordinary
14 avoiding overgeneralizations from a lil bit of a graph
15 an opportunity for students to generate their own examples/problems
just some math fun!
#iTeachMath ♾️
12 & 13 ordinary
14 avoiding overgeneralizations from a lil bit of a graph
15 an opportunity for students to generate their own examples/problems
just some math fun!
#iTeachMath ♾️
Used these Christmas tree puzzles as a little warmup today and they were a hit!
@mathequalslove.bsky.social always coming through with sharing seasonal puzzles 🙌🏻 #iTeachMath ♾️
@mathequalslove.bsky.social always coming through with sharing seasonal puzzles 🙌🏻 #iTeachMath ♾️
December 3, 2024 at 3:49 AM
Used these Christmas tree puzzles as a little warmup today and they were a hit!
@mathequalslove.bsky.social always coming through with sharing seasonal puzzles 🙌🏻 #iTeachMath ♾️
@mathequalslove.bsky.social always coming through with sharing seasonal puzzles 🙌🏻 #iTeachMath ♾️
An oldie, but a goodie (I also like the one about using poetry to reduce #MathsAnxiety).
I have been sharing this one a lot this year. Some of the experiences I’ve had and are hearing from some clients are wild.
🧪 #EduSky🍎 #iTeachMath♾️ #TrUDL #Inclusion #Accessibility
I have been sharing this one a lot this year. Some of the experiences I’ve had and are hearing from some clients are wild.
🧪 #EduSky🍎 #iTeachMath♾️ #TrUDL #Inclusion #Accessibility
Why do people get so anxious about math? - Orly Rubinsten
YouTube video by TED-Ed
youtu.be
April 11, 2025 at 5:44 AM
An oldie, but a goodie (I also like the one about using poetry to reduce #MathsAnxiety).
I have been sharing this one a lot this year. Some of the experiences I’ve had and are hearing from some clients are wild.
🧪 #EduSky🍎 #iTeachMath♾️ #TrUDL #Inclusion #Accessibility
I have been sharing this one a lot this year. Some of the experiences I’ve had and are hearing from some clients are wild.
🧪 #EduSky🍎 #iTeachMath♾️ #TrUDL #Inclusion #Accessibility