I started a new math art project today and just couldn’t stop. Basically I’m dreading going back to school soon, but didn’t want to mope all day and waste it. So the day turned into a day of learning new things. Right now my project is drying so I don’t have a final photo yet. […]| Continuous Everywhere but Differentiable Nowhere
Ages ago, I kickstarted the “hypnograph” which is a cycloid drawing machine. I tried to get it to work when it arrived, but for some reason, I couldn’t get the drawings to work out. (The instructions that it came with were okay but there were bits that could have been much clearer.) However I found […]| Continuous Everywhere but Differentiable Nowhere
I’m going to be teaching a mini-course (7 days) on math-art in this upcoming school year. In my work on that course this summer, I started thinking about how I can have kids work with embroid…| Continuous Everywhere but Differentiable Nowhere
6 posts published by samjshah during July 2023| Continuous Everywhere but Differentiable Nowhere
2 posts published by samjshah during August 2025| Continuous Everywhere but Differentiable Nowhere
A friend found this Sangaku, which if you don’t know (from Wikipedia) are Japanese geometrical problems or theorems on wooden tablets which were placed as offerings at Shinto shrines or Buddhist temples during the Edo period by members of all social classes. So here’s what she sent me (from here) The question that I’m attempting to figure out is: what is the radius […]| Continuous Everywhere but Differentiable Nowhere
I did a 4-week math teacher professional development this summer: 21st Century Math 2025. I participated in it also in 2023, its first year, and really loved it. I highly recommend it for math teac…| Continuous Everywhere but Differentiable Nowhere
2 posts published by samjshah during July 2025| Continuous Everywhere but Differentiable Nowhere
Like in my last post, I want to share a math problem I was working on for a summer professional development I’m doing. This was part of the problem set that the PD organizer Justin Lanier wrote up. The problem is outlined here: As part of this professional development, we started filling in a spreadsheet […]| Continuous Everywhere but Differentiable Nowhere
This is going to be a writeup for a math problem I’ve been working on for a professional development thing I’m doing this summer. The question related to soap bubbles. Because I just wa…| Continuous Everywhere but Differentiable Nowhere
In my last post, I shared a question posed to me by a student. Essentially, it boiled down to: can we algebraically prove that the following will always be an integer? I shared it with two friends in my department because they both really love combinatorics like me. One gave me some really nice ways […]| Continuous Everywhere but Differentiable Nowhere
Today in class, a student asked a question that stumped me. I haven’t yet given myself a lot of time to think about it, but I went into the city after school for something and on the subway ride home I had my audiobook on and I basically didn’t “hear” anything because my mind kept […]| Continuous Everywhere but Differentiable Nowhere
On Thursday, after school, I hopped in an Uber to the airport. I was flying to a conference, the “Teaching Contemporary Mathematics” conference (TCM) held at the North Carolina School of Science and Mathematics. I think I’ve been at least twice over my career, maybe three times, and always found it to be a really […]| Continuous Everywhere but Differentiable Nowhere
I had a thought that just occurred to me and I wanted to archive it before I forgot it. I’ll probably forget that it is even here at all, and nothing will come of it, but I had a thought about developing a new one-semester course for juniors and seniors at my school. It would […]| Continuous Everywhere but Differentiable Nowhere
For a month this summer, I paid $30 to get an Alamo Drafthouse Movie Pass. Alamo is a movie theater that allow serves food and drinks. What the Movie Pass allows you to do is watch a movie every day (and you only pay a $1.89 service fee). It is summer and I figured why […]| Continuous Everywhere but Differentiable Nowhere
Throughout the month of July 2023, I participated in a PD experience that was unique to me. Justin Lanier, a former math teacher turned professional mathematician, held a PD he developed called “21st Century Mathematics” and the ultimate goal was “To grow as mathematicians, both for our own enjoyment and for the benefit of our […]| Continuous Everywhere but Differentiable Nowhere
This is a continuation of the previous post. My goal here is to connect this up to calculus. Below is a graph of stitches I need to make to create any given row. So for example in Row 16 and Row 17…| Continuous Everywhere but Differentiable Nowhere
Last summer, my friend and math teacher extraordinaire Peg Cagle started teaching me to knit. It’s been wonderful — something I can do while listening to audiobooks. I’ve been try…| Continuous Everywhere but Differentiable Nowhere
(From Sam Shah and Julie Reulbach) What We’re Doing and Why: Okay, friends. Twitter was acquired by Elon Musk and seems to constantly be on the brink of imploding and full of misinformation, and no…| Continuous Everywhere but Differentiable Nowhere