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Table 9 Suggested noticing prompts regarding knowledge-based reasoning and decision-making for the categories SCK/PD-PCK and facilitation moves

From: Compiling video cases to support PD facilitators in noticing productive teacher learning

 

Knowledge-based reasoning

Decision-making

SCK/PD-PCK

What problem does the contribution of the teacher (refers to a building with three entrances) adds to the discussion? How is this related to the teacher learning goals?

In case the mentioning of teachers would not have occurred, would you have brought in this possible form of representation on your own? If yes, for what reasons?

For what mathematical reason did the facilitator not interrupt the lengthily discussion of the teachers?

Would you collect the different representation forms contributed by the teachers in a different way? Why?

Why is the example of 3! not selected in a good way with respect to teachers’ misconceptions?

What PD-PCK aspects might help to resolve teachers’ misconceptions?

Is the discussion on the different representation forms sufficient with respect to teaching this subject in the classroom?

Facilitation moves

Why do you think has the facilitator decided to have the teachers solve the task for the students themselves?

Which alternative moves would you have performed instead of the one shown by the facilitator?

Why did the facilitator choose to let only one teacher present the result?

How could you foster that the teachers reflect more intensively the teaching perspective?

Does the facilitator act correctly when letting the discussion continue?

Are the shown misconceptions of teachers treated sufficiently?