Community of Adult Math Instructors (CAMI)
teachers learning math together
In this meeting, we explored Henri Piccioto’s number pyramid puzzles through notice/wonder, generating questions for problem-solving and additional puzzles for students.
At the beginning of the meeting, we shared some favorite sources of puzzles we like to use with students, include Which One Doesn’t Belong, Sometimes, Always, Never, and Open Middle.
Then I introduced Number Pyramids. Thank you to Henri Piccioto and his amazing web site of math resources. Here is the sequence we used:
A simple situation with a mother and daughter’s ages leads to many questions and interesting observations.
In August, at a summer board meeting of the Adult Numeracy Network, the fabulous Sarah Lonberg-Lew (@MathSarahLL) shared a problem. Well, it wasn’t really a problem, more like something she noticed. In the meeting, she asked what we noticed and what questions we might ask.
Solange led us in a meeting about teaching mathematics with a focus on discovery, investigation, and student thinking.
In this meeting, Solange presented us with the following problem:
Consider a collection of pennies with the following constraints:
When the pennies are put in groups of 2 there is one penny left over. When they are put in groups of three, five and six there is also one penny left over. But when they are put in groups of seven there are no pennies left over. How many pennies could there be?
Thank you to YouCubed.org for the problem.
Can you help us out? Can you find a solution? Can you find more than one? What strategies are you using?
Continue reading “Penny Collection”We moved shapes around a 100-grid to find patterns that lead to algebraic generalizations.
Today’s problem was from this year’s annual meeting of the Adult Numeracy Network (ANN) at the COABE conference in New Orleans. Christin Smith, Patricia Helmuth, and Heidi Schuler-Jones led the group through a series of activities over the course of the day. The theme of the ANN annual meeting was the idea of revealing algebra in basic mathematics. In our CAMI meeting, we explored an activity that starts with adding on a 100-grid and finding patterns and then moves towards generalization.
Continue reading “Pentominoes!”Usha and Sophie led a frenzy of folding, observing, counting, and predicting at Fashion Industries High School.
Update: Check out these related videos —> Numberphile | Doodling in Math Class | Wrong Turn on the Dragon
It was a beautiful spring day when Usha and Sophie represented CAMI at the 40th anniversary of the New York City Adult Basic Education Conference. Sophie gave a little history of CAMI…
Starting with a colorful visual representation of numbers, we looked at a series of problems based on prime factors.
For the last few months, I’ve been working on study materials on exponents and roots. While doing research for the packet, I started to get interested in factors and especially prime factors. It turns out that they are really useful for thinking about lots of different kinds of math that we have been looking recently. For example, the mathematics of bicycle gears or Spirograph both have to do with factors, as do fractions, place value, exponents and other math that is relevant to math teaching in adult literacy.
Continue reading “Playing with Prime Factors”How do the functions for converting between Celsius and Fahrenheit work? Temperature talk during the coldest week of 2019 thus far.
At our evening CAMI meeting earlier this month, Kevin Winkler from CUNY Start led us in an exploration of the conversion between Celsius and Fahrenheit based on something strange he noticed while crossing the Brooklyn Bridge.
I wanted to bring that idea to the afternoon CAMI meeting, and also try to scaffold the exploration a bit, so that we could extend the invitation to our students. It also just happened to be the week where the Midwest was experiencing such cold weather that friends in Minnesota kept making the same joke over and over again about the temperatures there being colder than they were in Antarctica.
Looking for the surprising in the familiar, we see what happens when you look, really look, at the multiplication table and tumble through the looking glass.
I once taught a poem by Wallace Stevens called “Thirteen Ways of Looking at a Blackbird” to a class of adult literacy students. Before I gave out the poem I put the title on the board and asked students what they thought the poem was going to be about. They had all kinds of ideas about looking at blackbirds. Then I asked them, “What about the first part? What does that mean Thirteen ways of looking at a blackbird?”And they said things like:
Continue reading “Thirteen Ways of Looking at Multiplication Tables”
CAMI plays around with a way to practice multiplication, think about area and extend into algebra and generalizations. Through art!
For our final CAMI meeting of 2017, I wanted to spend some time at a CAMI meeting doing some math that would create some thing visual and beautiful. As I was looking around for activities to bring to the group, I came across the website, Math Pickle (as in “Put your students in a pickle”). They had a trove of math problems that I look forward to exploring in future CAMI meetings. The one I chose for this one is at its core an opportunity for students to practice multiplication in a way that is much more engaging than just memorizing facts and doing worksheets. And it builds works of art. As I started to play around with it, I started to notice different ways to think about how to make designs with the best score. Continue reading “Mondrian Art Puzzle”
Several engaging activities for exploring factors. Which would you use for HSE math classes and how would you use them?
I puzzled over what to bring to today’s meeting for days. I have a couple unfinished problems that I’ve been thinking to bring to a CAMI meeting, but in the end I chose to go with a few activities on factors, mostly from Fostering Algebraic Thinking, by Mark Driscoll. A group of us read the book last summer and loved the problems. There were so many good ones that we weren’t able to solve them all while reading the book. I went into this meeting hoping that the surprise of the central problem wouldn’t be ruined. Continue reading “Multiple Factors”
