Sam Graf

I feel so lucky to run a math team with this brilliant educator - got to help 30+ middle schoolwrs build mechanical base 8 calculators out of k'nex pieces at out last math circle

Check out his work on Instagram: www.instagram.com/knexxions?ut...

14.12.2024 15:55 — 👍 0    🔁 0    💬 0    📌 0

Knights are 24/13 times faster than the king On an infinite chess board, how much faster can the knight reach a square when compared to the king, in average? More generally, for coprime $b>a \in \mathbb{Z}_{\geq 1}$ such that $a+b$ is odd, defin...

Did you know that a knight on an infinite chess board is 24/13 times faster then a king?!

A proof of this fact was posted on the archives by Christian Táfula, where he solves the problem for the (a,b) knight, a generalisation of the beloved (1,2) knight.

arxiv.org/abs/2405.19589

Yum 🍿😍

14.12.2024 15:52 — 👍 2    🔁 1    💬 0    📌 0

I am sitting in a cafe at a bookstore and two sisters are at the table over, the younger 8 or 9, the older looks like she might be starting highschool this year.

They are having the most wonderful exploration of the differences between 'estimation' and 'guestimation'.

I am taking notes.

27.08.2024 18:18 — 👍 2    🔁 0    💬 0    📌 0

You have three blank six-sided dice, and nine spots you plan to put on the faces. You choose nine of the faces and put one spot on each of face. Now you roll the three dice together and you get exactly one spot showing upwards. How could you have arranged the spots on the dice to make the probability of this event as low as possible?

Quickly made up this question at #100factorial yesterday and it turned out to be very enjoyable.

15.08.2024 08:55 — 👍 7    🔁 2    💬 0    📌 0

What I have been thinking about is how is the culture of this space evolving and how do we participate in creating the kind of culture we want to be a part of ✨

16.08.2024 02:06 — 👍 1    🔁 0    💬 0    📌 0

Some fun investigations:

16.08.2024 02:03 — 👍 0    🔁 0    💬 0    📌 0

Some of my favorite tasks for playing with units!

16.08.2024 02:01 — 👍 0    🔁 0    💬 1    📌 0

Classify whether each describes a rational or irrational value!

A thread of some of the tasks that I have built and shared on X. Bringing them over here just because it's fun to reshare and look back.

16.08.2024 02:00 — 👍 1    🔁 0    💬 1    📌 0

TEACHER VOICE: Instead of worrying about whether math is easy or difficult, let’s make it welcoming - The Hechinger Report There’s an assumption that teaching math should move students from “easy” to “difficult.” But easy and difficult are only proxies for two higher virtues, the actual qualities of successful instruction...

Excellent article from Ben Orlin about not worrying so much about easy vs hard and thinking instead about being welcoming and challenging. #iTeachMaths

hechingerreport.org/teacher-voic...

13.08.2024 22:32 — 👍 14    🔁 3    💬 1    📌 0

I teach with this problem set and have had a lot of success with it, just the right level of progressive challenge for my year 7 students and builds a lot of confidence to give a problem multiple attempts!

14.08.2024 16:16 — 👍 0    🔁 0    💬 1    📌 0

Just migrated over from X - loved chatting with math educators there but I am going to give BSKY a goQ

14.08.2024 16:12 — 👍 5    🔁 0    💬 0    📌 0