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Fostering Perseverance with Interesting Math Problems
Nanette Johnson
nanette@openmiddle.com @Math_M_Addicts OpenMiddle.com MathMAddicts.net
Fostering Perseverance with Interesting Math Problems Nanette - - PowerPoint PPT Presentation
Fostering Perseverance with Interesting Math Problems Nanette - - PowerPoint PPT Presentation
Fostering Perseverance with Interesting Math Problems Nanette Johnson nanette@openmiddle.com @Math_M_Addicts OpenMiddle.com MathMAddicts.net Goal for workshop: Take traditional textbook-like problems and tweek them to create higher level
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DOK levels
DOK 1 – Recall: a definition, a simple procedure; performing a single algorithm DOK 2 – Skill/Procedure: beyond a habitual response; student must make a decision on how to approach and solve a problem DOK 3 – Strategic Thinking; reasoning, planning, justifying, explaining DOK 4 – Extended Thinking: Performance task; reasoning, planning, justifying, explaining
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Why Perseverance????
Why do you think our students need perseverance? Tell your neighbor at least one reason.
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Name that DOK level….
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Why Perseverance?
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- What grade level is this performance task?
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“If you always do what you’ve always done, you will always get what you always got.”
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Factoring a Quadratic
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Fill in the blanks with integers so that the quadratic expression is factorable.
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Circles: circumference and area
Which circle is bigger:
- ne with an area of
30 square units or
- ne with a
circumference of 30 units? How do you know?
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What is the least number of geometric markings needed to demonstrate that a quadrilateral is a square?
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Make the smallest difference by filling in the boxes using the whole numbers 1 through 9 no more than one time each
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Now, you try.
O Think about a math concept that you
recently taught your students, make an Open Middle problem.
O What is the conceptual understanding that
you want the students to know?
O Is there some type of optimization that you
can utilize to **How would you make your life DOK 1?**
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Thank You!
Nanette Johnson nanette@openmiddle.com @Math_M_Addicts OpenMiddle.com MathMAddicts.net
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