Building Assessment into Instruction
Remember: "Mistakes are Opportunities"

A. On one sheet of paper develop one problem-based task that is a real-world situation.

B. On another sheet of paper present your solutions in the "Four Representations of Mathematical Ideas"
(see page 27 in text, also on T-2.9 handout)

(Number & label each of your 4 representations as listed below)

1. Pictures

2. Written symbols

3. Oral language (write what you will say)

4. Manipulative models (use or design manipulatives)

C. After you have completed the correct 4 reprensented solutions for your task (section B above),  then go back to your problem-based task again, but this time pretend you are the teacher and you gave your problem to the students in your class.  After the students are working and solving your problem, you notice that two students are having problems.  Each of the two students are using different ways to solve the problem.  Show the mistakes of each of the students in their process of solving the problem-based task. 

Then explain what you would say and do to assist each of the students.  (Be sure each student is using a different representative process.) Please note: we will share our tasks and solutions in class.

   a. 1st Student - List the representation used by the first student:

      1. Show student's incorrect process to solve the problem-based task:

      2. Explain what you would say and do to assist this student to get him/her back on the correct process:

   b. 2nd Student - List the representation used by the first student:

      1. Show student's incorrect process to solve the problem-based task:

      2. Explain what you would say and do to assist this student to get him/her back on the correct process: