Big Ideas Made Easy
The California Math Framework & the Brain Connection
Why Big Ideas?
Five Components of Equitable and Engaging Teaching for All Students
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planning around big ideas
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using open and engaging tasks
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teaching for social justice
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inviting student questions and conjectures
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prioritizing reasoning and justification
Bransford and Johnson 1972
If the balloons popped, the sound would not be able to carry since everything would be too far away from the correct floor. A closed window would also prevent the sound from carrying since most buildings tend to be well insulated. Since the whole operation depends on a steady flow of electricity, a break in the middle of the wire would also cause problems. Of course the fellow could shout, but the human voice is not loud enough to carry that far. An additional problem is that a string could break on the instrument. Then there could be no accompaniment to the message. It is clear that the best situation would involve less distance. Then there would be fewer potential problems. With face to face contact, the least number of things could go wrong.
Bransford and Johnson 1972
Bransford and Johnson 1972
If the balloons popped, the sound would not be able to carry since everything would be too far away from the correct floor. A closed window would also prevent the sound from carrying since most buildings tend to be well insulated. Since the whole operation depends on a steady flow of electricity, a break in the middle of the wire would also cause problems. Of course the fellow could shout, but the human voice is not loud enough to carry that far. An additional problem is that a string could break on the instrument. Then there could be no accompaniment to the message. It is clear that the best situation would involve less distance. Then there would be fewer potential problems. With face to face contact, the least number of things could go wrong.
Bransford and Johnson 1972
If the balloons popped, the sound would not be able to carry since everything would be too far away from the correct floor. A closed window would also prevent the sound from carrying since most buildings tend to be well insulated. Since the whole operation depends on a steady flow of electricity, a break in the middle of the wire would also cause problems. Of course the fellow could shout, but the human voice is not loud enough to carry that far. An additional problem is that a string could break on the instrument. Then there could be no accompaniment to the message. It is clear that the best situation would involve less distance. Then there would be fewer potential problems. With face to face contact, the least number of things could go wrong.
What are some key takeaways from this experiment?
Big Ideas
Schema
Big Ideas
What do Big Ideas
look like in the
classroom?
Problems (tasks which students do not already have the tools to solve) precede teaching of the focal mathematics necessitated by the problem.
CA Mathematics Framework 2023
What are the big ideas in this task?
What are the challenges when implementing
Big Ideas?
What are the mindsets evident in this picture?
How do we teach?
How do we learn?
bit.ly/PatternMachine
Math should be
experienced not explained
"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!
To ensure that all students are mathematically equipped to solve the world's most challenging problems.
OUR MISSION:
