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 DOK problems to help our students prove their conceptual understanding and develop perseverance.

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

Why Perseverance???? Why do you think our students need perseverance? Tell your neighbor at least one reason.

Name that DOK level….

Why Perseverance?

• What grade level is this performance task?

“If you always do what you’ve always done, you will always get what you always got.”

Factoring a Quadratic

Fill in the blanks with integers so that the quadratic expression is factorable.

Circles: circumference and area Which circle is bigger: one with an area of 30 square units or one with a circumference of 30 units? How do you know?

What is the least number of geometric markings needed to demonstrate that a quadrilateral is a square?

Make the smallest difference by filling in the boxes using the whole numbers 1 through 9 no more than one time each

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?**

Thank You! Nanette Johnson nanette@openmiddle.com @Math_M_Addicts OpenMiddle.com MathMAddicts.net

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