I want to bake blackberry cobbler. The recipe calls for a 9″ pie pan. All I have are rectangular ones.
How many of us remember the double-digit interest rates of the early 1980s? What do you notice in the story below? What are you wondering about? Leave a comment to tell us your thoughts!
One year, on December 31, Curtis, who doesn’t trust banks, put $1000 in a can and buried it in his back yard. He plans to continue adding $1000 to the can on the last day of each year until he’s ready to retire.
On the same day, Bill invested $1000 in a bank account that will pay 10% interest annually on the last day of the year. Unlike Curtis, he does not plan to continue investing more money each year.
The end of the summer is a great time for a ride around the neighborhood. What do you notice in the story below? What are you wondering about? Leave a comment to tell us your thoughts!
One fourth of the vehicles at Danielle’s Cycle Shop are tricycles. The rest are bicycles. Danielle counted a total of 45 wheels in her shop.
Raquel and Esperanza were asked to count Dr. Dolittle’s ostrichs and pushimi-pullyus. Raquel counted 67 heads, while Esperana counted 134 legs.
You don’t have to speak French in order to Notice and Wonder about this bit of architectural design! Leave a comment to tell us your thoughts (French is optional)!
A voussoir is a trapezoidal piece of stone often used to build arches.
We talk a lot about the problem-solving process here at the Math Forum and try to develop resources that will help teachers help their students get better at problem solving. We discuss how to encourage students to share their thinking (such as through Noticing and Wondering) and how to cultivate classrooms that value those thoughts and ideas as much as answers. But if we take a look at our own “problem solving” product, the Problems of the Week, we have to acknowledge that there isn’t so much support for process, starting with the “Compose Answer” button that appears at the bottom of each problem. Oops!
We have considered a number of possibilities, including an option (chosen by the teacher) to show just the scenario for a problem and then have fields in which students can submit their Noticings and Wonderings. That sort of thing would require some significant programming time, so while we are working on putting it in place (I’ll blog about it more before we get too far), we are first going to support the PoW process through some wording changes in the submission process. We’ve come up with some possibilities and wonder if anyone has alternative ideas.
On a problem page, it says, “Compose Answer”, which of course implies you have “an answer”. We’re thinking of changing that to “Submit Ideas”, which seems a bit more welcoming to submissions that might not actually contain an answer yet (or ever).
Once you get to the “submission” page, there are four spots we’re suggesting alternative wording:
What do you think? Would these sorts of changes convey “process” to your students? Do you have any other suggestions?