A Math Forum Project

Replying to Students || Next Example

 ``` From: Student 4, age 15 To: GeoPOW Staff Subject: GeoPOW: Congruent Rectangles ``` Answer: ```the perimeter is 114 square units ``` Explanation: ```used X and Y as sides of one of the smaller rectangles. X is the longer side. 4y=3x x=4/3y 7xy=756 7 4/3yy=756 3/4x4/3yy=108x3/4 324/4=81 yy=81 y=9 4x9=3x 36=3x 36/3=12 12=x 5x+6y 60+54=114 square units ```
 ``` From: Student 4 ``` ```[The student looked at answer 1] ```
 ``` From: Student 4 ``` ```Actual written comment: i showed all my work and found the right answer ```
 Problem Solving Notes interpretation He has completely solved the problem. strategy It looks like he chose a good strategy and executed it well. accuracy Everything looks accurate. Communication completeness He wrote it all down, but didn't say where any of it came from. clarity He hasn't explained anything so that another student would understand if they don't already. reflective Doesn't reflect at all.
 ``` From: [the mentor] To: Student 4 Date: Sep 9 2002 10:47AM Subject: Re: GeoPOW: Congruent Rectangles - posted 09/02/02 ``` ```>the perimeter is 114 square units Hi, [Student 4]. Your answer is right, as you saw, and you did show all of your work. But what you didn't do was _explain_ your work. That's another important step in the process. So while you've chosen a good strategy and you've got the math all correct, you also need to explain what you did. You should describe the steps that you took and do it in such a way that another student would be able to learn from reading your work. Also, once you're finished, try to reflect on your work - can you check your work (besides using our answer check)? Does your answer seem reasonable to you? You can read more about what this part might look like on the page that is referenced below. See what you can do with this. I look forward to seeing your revision. -[the mentor] > >used X and Y as sides of one of the smaller rectangles. X is the >longer side. > >4y=3x x=4/3y >7xy=756 >7 4/3yy=756 >3/4x4/3yy=108x3/4 >324/4=81 >yy=81 >y=9 >4x9=3x 36=3x >36/3=12 >12=x >5x+6y >60+54=114 square units -- Summary: Problem Solving Interpretation: Practitioner Problem-Solving - Strategy: Practitioner Problem Solving Accuracy: Practitioner Communication Completeness: Apprentice Communication Clarity: Novice Communication Reflection: Novice (For an explanation of scores see http://mathforum.org/pow/scoring.html.) -- [the mentor], for the Geometry Problem of the Week http://mathforum.org/geopow/ ```

Next Example

Annie, annie@mathforum.org
December 2002