case 1

Definition of Proportionality, Photo Enlargement Problem, Clip 1, 4:05

In this clip the teacher is giving an introduction to the photo enlargement problem and proportionality.

Definition of Proportionality, Photo Enlargement Problem, Clip 2, 3:36

In this clip the teacher is working with small groups to help guide them through the photo enlargement problem.

Definition of Proportionality, Photo Enlargement Problem, Clip 3, 3:41

In this clip the teacher is using questioning to help a small group with the photo enlargement problem.

Definition of Proportionality, Photo Enlargement Problem, Clip 4, 2:11

This is another example of the teacher using questioning strategies when working with a group on the photo enlargement problem.

Definition of Proportionality, Photo Enlargement Problem, Clip 5, 2:10

After going through the two main solution methods for the photo enlargement problem, the teacher asks the students how they can generalize.

Definition of Proportionality, Photo Enlargement Problem, Clip 2, 3:36

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  • This is a follow up to previous clip, an example of the teacher asking questions of the groups to help them think about photo problem.
  • Notice how the teacher asks students to think about why the setup of their proportion works. He acknowledges it as good, which is encouraging to the students, but still wants them to think deeply about it.
  • He also gives ample wait time after asking groups questions, this allows them to think and puts the honus on the students. He is pushing them to think about why their procedures work and what things are (what does the 9 represent).
  • He also encourages them to try different methods. This can help the multiple methods for solving proportional reasoning problems to emerge from the students.

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