Math Thinking

These are examples of how students' thinking is revealed when they describe their process. The description enables the teacher to respond in a way that leads the student to success.

Recently, the "Travels of the Cat" problem received many responses. The problems requires students to consider the distance traveled and the number of days in October.  Click here to see the problem.

Response Example 1

A 2nd Grade student wrote:

36 days

no

33.5 feet. He would finish on November 5th. On October 31, he still has 2.5 feet to go. So you take 2.5 away from 36 and get 33.5 feet.

I wrote back:

Good work~

You are right about it taking him 36 days to get across, and that would take more than the month of October! You are also right that he would have 2.5 feet to go on October 31.

I think you might rethink the number of feet in the last part of your answer. Remember, the October Board is only 18 feet long and the Cat travels 6 inches per day.

I have posted your name for your good thinking on the website.

Mrs. Voorhees.

Response Example 2

A 4th Grade student wrote:

It would take 26 days if it goes 6 inches per day.

It would finish in October.
It would be finished 5 days early. It would be done on October 26.

I wrote back:

But the October Board is 18 feet long. Could he really finish his trip in October?

Mrs. V.

The 4th Grader replied:

Sorry,
 
It would take him 36 days to finish his journey. He could not finish in the month of October.
 
He would have gotten 15 feet and 6 inches by Halloween.

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