Exploring some of the mathematics in packing a shipping container.
For today’s CAMI meeting, Mark was trying out a draft of a lesson that he wrote with Eric involving volume and units in a workplace context. The problem we explored involves trying to fit rectangular boxes into a shipping container. Continue reading “Can you fit more boxes in a shipping container than Jane can?”
In this meeting, Steve challenged us to figure out the best of some bad choices at the casino.
Steve started today’s meeting by sharing that he had recently noticed that the Tropicana Casino in Atlantic City has a game called the Cash Wheel. Steve took notes on what he saw and presented us with a representation of the Cash Wheel. Continue reading “Tropicana Cash Wheel”
How to use an inquiry-based exploration of visual thinking to develop algebraic thinking in our adult numeracy and hse classes.
Eric, Solange and Mark led a webinar called “Exploring Algebraic Thinking in a Math Teachers’ Circle”, revisiting a workshop that we gave at the 2015 National COABE Conference. This webinar focuses on an inquiry-based process of algebraic thinking through use of visual patterns and multiple strategies for problem solving, including drawing, different ways of seeing, making charts/tables, and making predictions using rules. Facilitators model an open approach, having students generate their own problems and also discuss how to help students analyze and connect different solution methods and how to bridge visual thinking into algebraic thinking.
Continue reading “Exploring Algebraic Thinking in a Math Teachers’ Circle”
In this meeting, Usha returned to lead an exploration of consecutive numbers through a low-entry, high-ceiling problem she recommends as an introduction to functions/algebra.
For our June meeting, we were lucky to have Usha Kotelawala, Director of Math Education for CUNY’s LINCT to Success, as a guest presenter. Usha started the meeting by talking a little about her thought process in choosing today’s problem. In discussing CAMI with Usha, Eric had raised the issue of how to order problems through a semester, so that the mathematics is sequenced and scaffolded for students and students learn through problem-solving. In response to this question, Usha brought us a problem she recommends as the first in a sequence on algebraic reasoning. Continue reading “Exploration of Consecutive Numbers”
This task, from Mathematical Mindsets, by Jo Boaler, asked us to explore how area and volume are affected when shapes are scaled up in size. For example, if you double the dimensions of a square, how is the area affected? What if you triple the dimensions?
We used this meeting to explore a problem from Mathematical Mindsets by Jo Boaler. I had worked on it a few weeks ago as part of an online book group with LINCS. I decided not to give out all the questions in the task at once, but you can look at the problem URL above to see the whole thing. Continue reading “Growing Rectangles”
CAMI did a few workshops in April, sharing our teaching circle’s work on exploring real-life math through three-act math tasks.
Eric and Mark did a workshop at the 2017 COABE Conference in Orlando called Mathematical Modeling: Questions from a Math Teachers’ Circle. A few weeks later at the NYC ABE Conference, Brian took the lead and together with Mark and Eric did a similar workshop called 3-Act Math Tasks: Let Students Build the Problem. Continue reading “CAMI Roadshow: 2017 COABE and NYC Adult Basic Education Conferences”
Inspired by Mathematical Mindsets, by Jo Boaler, we explored questions related to “trains” made out of Cuisenaire rods.
A few of us are reading Mathematical Mindsets, by Jo Boaler, as part of a book group on LINCS that will start this coming Monday, April 17th. The book is similar to Boaler’s other writing in that it cites evidence of recent work in brain science to show that everyone can learn, that the brain is plastic and grows like a muscle when used, and there is no such thing as math people and non-math people. Boaler also argues for an approach to developing growth mindsets that is rooted in mathematics. The book includes examples of low-entry, high ceiling problems that can be used to develop mathematical mindsets. Continue reading “Making Trains from Cuisenaire Rods”
We explored multiplication through a number talk and alternative algorithms for calculating products.
Before the meeting, Davida showed Rachel and me a multiplication method a student had showed her earlier in the day. The student said that she only knew how to do multiplication using the method on the right and wanted to learn the method on the left. What a coincidence! This is exactly what I was planning to explore today.
Continue reading “Multiple Ways of Multiplying”
CAMI often goes back and forth between problems that challenge us as problem-solvers and those which we could use to develop problem-solving in our students. At this meeting, Solange bridges the divide and does both.
Solange led us in an exploration of two problems – first, the Dizzy Sailor Problem and then the Perimeter of 18 Problem. The former was to challenge and deepen our own problem-solving. The latter was to have a discussion about how some of the math from the dizzy sailor connects to the perimeter of 18, which we all agreed was a problem we could do with our students. Continue reading “What Do You Do with a Dizzy Sailor?”
With a simple set up, CAMI enters a rabbit hole of notice/wonder and number patterns.
At our meeting, we worked on two tasks that I got last summer at a gathering of teachers from the K-12 system called NYC Twitter Math Camp.
The first is an activity teachers can use to develop group problem-solving norms with students. Continue reading “Carl’s Basketball Problem”