The What would you do next? videos are videos of students thinking aloud as they work on mathematical tasks. These videos provide you with an opportunity to reflect on what the student thinking reveals about their understanding and what instructional decisions you would make based on that thinking. The original prompt and student work are available for download. There is no one, correct answer to the question "What would you do next?". Take this opportunity to brainstorm teaching strategies with your colleagues to prepare you for the variety of strategies, misconceptions, and representations that students will create during instruction.

Kira:

In this video, Kira, a grade 2 student, shares 2 cakes equally among 8 people.  She is then asked how much of the cake would have been eaten if 5 people ate their shares. At a party, you now have two cakes to share fairly among eight people. Five people ate their shares of the cakes. Show in the figure the part of the cake eaten. How much cake was eaten? [Student Prompt] [Student Work] If you would like to try variations of this task with students, some task options are provided here: [Teacher.docx][Teacher.pdf]

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Myles:

In this video, Myles, a grade 3 student, tries to share fairly 1 cake among 3  people.  He tries two approaches, but runs into a problem with each approach. At a party, you cut one cake to share fairly among three people. How much does each person get? Show and explain your thinking.
[Student Prompt] [Student Work] If you would like to try variations of this task with students, some task options are provided here: [Teacher.docx] [Teacher.pdf]

Having observed Kira and Myles, consider the following for each student; What do you think each student understands and does not understand about fractions? What question, task or explanation would you provide next if you were working with Kira or Myles?  Please add your ideas to the What Would You Do Next? discussions and note whether you agree or disagree with the posts from other participants.

Once you have clicked on a discussion topic, you will have the option to select a discussion area based on the first letter of your state (if you live in the US) or country (if you are joining us from outside of the US).