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Why?
Why?
Math Practice 7 involves structural thinking. This is critical for making connections and flexible problem solving. Students who use multiple representations have stronger conceptual knowledge, retain content longer, and are more creative problem solvers. One way we can help students understand multiple representations is by using a routine to connect the structures between the representations.
What?
What?
What: Routine where students have 3 models and need to match 2 of them with a different representation.
This routine is from Routines for Reasoning
This routine is from Routines for Reasoning
- Give students think time to match top 3 with bottom 2.
- Students use sentences frames to share in pairs and help justify.
- One student points while the other explains (this is great for our multilingual learners!)
- Have a student re-voice what was said.
- Create a representation for the missing one.
Have students create the missing representation and connect it the the structure of the image.
Allow student to reflect on how they were able to see the structure for this topic.
Benefits:
Students make the connections to representations themselves and internalize the connection.
Increases discourse and communication through justifying together (one gesturing, one explaining)
This routine is especially effective for our language learners both in academic vocabulary and access to grade level content.
Making connections between the representations helps students with conceptual understanding.
Students add these representations to their tools for future problem solving.
Students increase recognition of the structure of problems allowing for generalization.
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