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Three Student Protocol

Introducing the 3 Student Protocol

One of the joys of teaching comes in knowing my students. I also know that the only way students can get what they need and grow as thinkers, and as people, is if I know them deeply. To that end, I need to know them both as mathematical thinkers as well as human beings. As human beings, there are a multitude of ways that I can know them and their experiences. I might come to know a lot about their home life, or their non-academic school life, or their interests, or even their pets. As mathematical thinkers I try to find out who they are, and what they will need to grow in these areas:

  • Mathematical efficacy and risk-taking: What do you believe about yourself as a mathematician, and what kind of a mathematical risk taker are you based on those beliefs?

  • Mathematical Decision Making: How capable and confident are you as a mathematical decision maker?

  • State of Your Mathematical Toolbox: What is the state of your mathematical toolbox, including past experiences in math classes and mathematical background knowledge and skills? 

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AND, Trying to focus on 30 students at once seems overwhelming

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So I began to pick out three representative students. I encourage you to create your own cast of characters for each of your classes. For my purposes here, these three were not all in the same class, but they will help me tease out each piece of our math classroom through them as a thread.

Using the 3 Student Protocol

Our Cast of Characters

Angel

What I know:

  • Repeater - this was her second time in Algebra 1

  • Mom advocates for her

  • Honor’s English

  • Watches sibling after school

  • Does not see herself as a mathematical thinker

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What she’ll do:

  • Wait and copy someone else’s

  • Wait for me to go over it with the class

  • Occasionally ask me

  • Look busy

  • Check her phone

  • Ask to go to the bathroom
     

What teacher move she’ll need from me:

  • A quick check-in from me and then tell her I’ll swing back by in 3 minutes to see how that went

  • Suggest drawing a figure

  • Stand next to her during First Thinking so that I can be sure she gets some thinking down on paper

  • Check-in early and often

Julio

What I know:

  • Student Council

  • Mom does not speak English

  • Lots of honors

  • Theatre

  • Checks grades a lot

  • Sees himself as a student more than a thinker

 

What he’ll do:

  • Work on his own

  • Answer all the questions but wait to have me check it, “is this right?”

  • Ask questions

  • Talk to his tablemates

  • Try to understand, but not always have all the math
     

What teacher move he’ll need from me:

  • Rather than checking his answer and saying it is right or wrong, ask him, “how do YOU know if it’s right? Convince your table.”

  • Ask a group member what he or she thinks of what Julio wrote.

  • Ask what he thinks about what another group member wrote.

Ioana

What I know:

  • Super conscientious

  • Helps others

  • No honors classes yet

  • Will come early and stay late if needed

  • Resourceful

  • Sees herself as a thinker

 

What she’ll do:

  • Finish first

  • Ask occasional questions to clarify

  • Help others

  • Ask for validation, “is this right?”

  • Ask for more problems to try

  • Sometimes extend her own thinking
     

What teacher move he’ll need from me:

  • Ask her, “how else could you think about this?”

  • Ask her what she thinks about a group member’s thinking.

  • Ask her, “how do you know? Convince your group”

  • Make her an expert, and another person who can answer questions

Read more about Ioana

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