I had a collection of five pennies. The dates on them were:

1996

1993

1987

1990

1994

After I added one more penny to my collection, the mean date changed.

]]>On Thanksgiving Thursday, Carissa ate some cranberries. The next day she couldn’t stop thinking about how good the cranberries were and ate seven more cranberries than she had eaten on Thursday.

Each day after that she ate seven more cranberries than the day before. By the following Wednesday night she had eaten a total of 161 cranberries for the whole week.

]]>**What do you notice in the video below? What are you wondering about? Leave a comment to tell us your thoughts!**

What do you notice in the story below? What are you wondering about? Leave a comment to tell us your thoughts!

A square is drawn on a coordinate plane. The square is in the first quadrant and the sides of the square are parallel to the axes.

]]>A line is drawn from the origin that cuts the square into two sections whose areas are in a ratio of 2:1.

What do you notice in the story below? What are you wondering about? Leave a comment to tell us your thoughts!

]]>What do you notice in the story below? What are you wondering about? Leave a comment to tell us your thoughts!

A circus clown has 16 balloons. One half of the balloons are red. Half of the remaining balloons are blue. The rest are yellow.

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:

**Original:**Credit for this problem will be given to ….**New:**Credit for these ideas will be given to ….

**Original:**Summarize your answer in a sentence or two**New:**Summarize your ideas in a sentence or two.

**Original:**Explain how you solved the problem. Include your math.**New:**Explain your ideas and how you figured them out.

**Original:**If you’ve created an image as part of your solution, you may upload it here.**New:**If you’ve created an image that illustrates some of your ideas, you may upload it here.

What do you think? Would these sorts of changes convey “process” to your students? Do you have any other suggestions?

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