Productive Struggle in Math
Prepares Students for Success
Jorge and Alicia both have containers.
They use markers to mark tenths on their containers and fill each of them to seven-tenths full with orange juice.
How can Jorge have more orange juice than Alicia?
Adapted from Q40 of 40 from my daughter's fractions unit final test
What is wrong with this question?
Mathematical Idea
How do we learn?
How do we learn?
How do we learn?
How do we learn?
How do we teach?
Productive Struggle
Creative Reasoning
Formative Feedback
Productive Struggle
Creative Reasoning
Formative Feedback
Mathematical Idea
Productive Struggle
Creative Reasoning
Formative Feedback
Productive Struggle
Creative Reasoning
Formative Feedback
Productive Struggle
Creative Reasoning
Formative Feedback
Mathematical Idea
Productive Struggle
Creative Reasoning
Formative Feedback
Mathematical Idea
Productive Struggle
Creative Reasoning
Formative Feedback
Mathematical Idea
Student Engagement
Mathematical Discourse
Mathematical Idea
Student Engagement
Mathematical Discourse
Mathematical Idea
This doesn't just work for
early elementary math;
it applies to ALL LEARNING, including
advanced mathematical concepts.
Student Engagement
Mathematical Discourse
Math should be taught the way the brain learns.
How do we teach?
How do we learn?
Math should be taught the way the brain learns.
Creative Reasoning
Learning mathematics without a suggested solution method: Durable effects on performance and brain activity 2015 Wirebring et al.
Algorithmic
Characteristics of questions that drive productive struggle
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No obvious solution path
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Maybe multiple solutions
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Possible very visual
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Low floor but high ceiling
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Invites "doing"
bit.ly/PatternMachine
Creative Reasoning
Learning mathematics without a suggested solution method: Durable effects on performance and brain activity 2015 Wirebring et al.
Algorithmic
Creative Reasoning
Learning mathematics without a suggested solution method: Durable effects on performance and brain activity 2015 Wirebring et al.
Algorithmic
The Power of Productive Struggle
The Power of Productive Struggle
The Power of Productive Struggle
The Power of Productive Struggle
"Why can't we just teach math the way I learned it?"
The volume of work often necessitates computers who can perform the routine machine operations with great speed, but who need not have much logical insight into what the results should be...
Memo: "Computing Group Organizations and Practices at NACA" April 24th 1942
The old way of teaching math was to make you do it like a machine...
The new way is to understand it so you can build the machines!
How we teach
How we learn
Vs.
Symbolic
Visual
Vs.
Rote-based
Play-Based
Vs.
To ensure that all students are mathematically equipped to solve the world's most challenging problems.
OUR MISSION:
