At the heart of this meeting was the following table, shared by math educator Howie Hua:
What do you notice? What patterns do you observe?
Setting the Table
Category: Algebra
What do you see?: Attention & imagination in math
Sometimes CAMI meetings have a mind of their own. This one followed a direction we didn’t expect!
We started with a question about this image:
The catch? We wanted to spark our creativity by exploring the world of wrong answers.
What is the Area? WRONG ANSWERS ONLY
Continue reading “What do you see?: Attention & imagination in math”Number Triangles
In this meeting, we started by looking at the following two images.
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:
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?
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”Story Tables
In this meeting, Amy introduced the story table, which is a teaching tool for solving algebraic equations. Story tables allow us to use guess and check and then analyze patterns in the results, in order to find values of x that make equations true.
To get us started, Amy shared the following algebraic equation:
3x - 2 = 10
And asked us to tell the story of x. To find a solution in this story, Amy asked us for the moment not use other ways of solving equations.
What Comes Next?
Sarah and Eric have been teaching themselves how to code using Javascript, CSS, and HTML. The What Comes Next? game is the result of more than a year’s work. We are not fast coders! We used this meeting to share our game and to see if teachers might use it with their students.
To play the game: What Comes Next?
Continue reading “What Comes Next?”Hanger Diagrams
For the last CAMI meeting before the 2022 summer break, we explored and created hanger diagrams. The session began with a notice and wonder of this hanger.
MoMath Area and Perimeter Puzzle
Cindy started the meeting by asking participants to draw rectangles in Jamboard using the graph paper background.
Tip: To make a straight line in Jamboard, hold down the shift key!
