Sarah’s Passing Drill

In another edition of revisiting problems from the CAMI vaults, at this month’s meeting we went back to further explore a number pattern we first looked at in January 2017 (Carl’s Basketball Problem).

We started off discussing WHAT IS SIMILAR? WHAT IS DIFFERENT? looking at these four expressions:

Continue reading “Sarah’s Passing Drill”

Diagonals in Rectangles

2024 marks the 10th anniversary of CAMI (!) and to honor all we have learned and all the ways we have grown as a group, we are going into the vaults for a few CAMI meeting, to reopen and revisit some of our early explorations together. This month’s meeting was a new take on a problem we explored in June 2016 at Making and Testing Conjectures: The Diagonal Problem.

We started with a Which One Doesn’t Belong?

Continue reading “Diagonals in Rectangles”

Fun with Paper and Scissors and Tape

We started off this meeting with a brainstorm of what you can do with paper. Check out our Jamboard to see all the varied and creative ideas we came up with. 

I then led the group through an exploration that involved cutting, taping, noticing, wondering, making a prediction, and then more cutting. Here is a link to the slides. You can follow the pictures to do the exploration yourself. 

Continue reading “Fun with Paper and Scissors and Tape”

Function Diagrams

I decided to lead a meeting on function diagrams because I’m intrigued by the possibilities of teaching with them and because I wanted to introduce the resources that the math educator Henri Picciotto makes available. I have to admit that I haven’t spent that much time thinking about to teach with function diagrams, but I was interested to see what we can learn together by exploring this visualization. 

Continue reading “Function Diagrams”

Celtic Knots at COABE 2023!

Mark and I led a hybrid in-person/virtual presentation at the COABE conference in Atlanta, GA at the beginning of April. Since then, new people have joined our mailing list and a recent meeting on April 18th. We’re happy to have you as new members.

You can watch the recording of the meeting below. The padlet mentioned in the meeting (with links to Celtic knots and related tools) is here: https://bit.ly/CAMICOABE2023. Enjoy!

Billiards!

Today we looked at a problem involving rebounding balls on a billiard table.

The rules of our problem:

  • A “table” can have different dimensions (measurements of height and width).
  • A “ball,” modeled by a straight line, is launched at 45 degrees from the bottom left corner of a table.
The ball always starts on the bottom left and goes up towards the top right at 45 degrees
Continue reading “Billiards!”

Music and Polypad

We started this meeting with a warm-up question: What is something you are good at that you could teach someone else? It turned out we were a very talented group with skills ranging from kayaking to mountain climbing and from making enchiladas to reading and writing Egyptian hieroglyphs. 

We took some time on our own to explore some demonstrations of the new music and sound features of Mathigon Polypad. (To learn more, go to Using Polypad: Music – Mathigon.)

Continue reading “Music and Polypad”