Teacher resources and professional development across the curriculum

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Reasoning and ProofSession 04 OverviewTab atab btab ctab dtab eReference
Part A

Observing Student Reasoning and Proof
  Introduction | Completing Patterns #1 | Problem Reflection #1 | Completing Patterns #2 | Problem Reflection #2 | Classroom Practice | Observe a Classroom | Questions and Answers | Your Journal

 
 

Think about the student work you just observed and reflect on the following questions. When you've formulated an answer to each question, select "Show Answer" to see our response.


Question: How does this problem extend students' reasoning about patterns?

Show Answer
Sample Answer:
There is more than one correct solution, which makes having students explain their reasoning an important part of proving that their pieces fit the pattern they've observed.
 

Question: How did these students justify their thinking?

Show Answer
Sample Answer:
By verbalizing their patterns, they could hear as well as demonstrate that their solutions were correct, as they understood the pattern.
 

Question: How did Caleb's pattern differ from Martina's?

Show Answer
Sample Answer:
Martina's pattern was based on one attribute: color. Caleb's pattern was based on two attributes: size and shape.
 

Question: Why is it helpful for students to see examples of different patterns that can continue the same sequence, as with Caleb and Martina?

Show Answer
Sample Answer:
It can help students learn not to be too quick to generalize patterns from only a few examples. This is particularly important in later grades as patterns become more complex.
 

Question: What questions or suggestions would you have for students who are having difficulty recognizing patterns?

Show Answer
Sample Answer:
Describing the individual pieces aloud and pointing at them as they do so will enable the students to both hear and see the patterns as they move along the chain.
 

Next  Observe a kindergarten class solve a similar problem

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