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Understanding Student Thinking in Geometry and Measurement

Understanding Student Thinking in Geometry and Measurement. January 30-31, 2012. Goals. Geometry What is and angle? Attributes and Definitions Minimal Defining List Measurement The value of estimation in measurement Structuring Area Measurement c oncepts with Tangrams

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Understanding Student Thinking in Geometry and Measurement

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  1. Understanding Student Thinking in Geometry and Measurement January 30-31, 2012

  2. Goals • Geometry • What is and angle? • Attributes and Definitions • Minimal Defining List • Measurement • The value of estimation in measurement • Structuring Area • Measurement concepts with Tangrams • Angle Measurement • Aspects of size • Moving from informal to formal

  3. Literature in Math

  4. Exit Question Activity from October • Independently look over your answers for 3 minutes. • Partner up with your elbow partner and discuss for 5 minutes. • As whole table, discuss your answers for 5 minutes.

  5. What is an Angle? • Watch video “What is An Angle” • Read Cases 13-16 and answer focus questions 1-6 • Share out student definitions

  6. Break

  7. Making Polygons • Make polygons that satisfy each set of conditions on your worksheet. • Make quadrilaterals • Make triangles • Make hexagons

  8. Definitions versus Attributes • Read Cases 18-20 and answer focus questions 1-5 • What is the difference between an attribute and a definition? • Minimal Defining List page 230 in Grade 3-5 Van de Walle

  9. Measurement • Read Van de Walle Measurement Introduction • K-3 Book: Chapter 8 pgs. 223-228 • 3-5 Book: Chapter 9 pgs. 252-257 • Note big ideas while reading

  10. Go-Around One Protocol • Person #1 reports one idea that she/he recorded • While Person #1 reports, other group members listen, but do not question Person#1, comment, or give clues. • When Person #1 finishes, Person #2 reports while the group listens. • Repeat until all group members have reported all of their ideas. • The group discusses ideas that were reported.

  11. Measuring Penny – Using Informal Units of Measurement

  12. Dismiss See you back here at 8:00 tomorrow morning!!!!

  13. Inch By Inch

  14. String Activity • Discuss in small groups: • What was the purpose of this activity? • What did we learn about our students?

  15. Art Class Task • Complete task independently • Read the scoring guide • In small groups review student work and score their work and compare the scoring that was done. • How would this activity help students make sense of area?

  16. Break

  17. Measurement Concepts with Tangrams • Work on handout with small group • What are the mathematical concepts being developed? • How would this activity help students make sense of area?

  18. Triangle Areas • Make as many different triangles with 6 square units on your 10 x 10 dot grid paper. • If you were not restricted to the 10 x 10 grid, what is the largest perimeter possible?

  19. Lunch

  20. Angle Measurement Activity • Look at the two angles. Which angle is larger? • Independently answer these questions: • What is an angle? • What does it mean for a triangle to have 180˚? • What does it mean for a four sided figure to have 360 ̊ ? • What does it mean to say a line has 180 ̊ ? • What does it mean to say a circle has 360 ̊ ? • What is the purpose of this activity?

  21. Amelia Earhart Problem • Read through the problem and work independently. • Discuss with shoulder buddy.

  22. Break I can’t respond to any emails today…Something has crashed on my computer and the mouse is missing.

  23. Presentations • Nancy and Lindsey • Mary and Jami • Cathleen and Gail • Tammy and Joni • Bonnie and Sandra B. • Laurie, Jenny, and Cabrini • Marcy and Pegge

  24. Reminders • Next class March 19-20 • Presentations • Tammy and Joni • Cheri, Kelly, and Heather • Sandra C. and Trish • Bonnie and Sandra B. • Annie and Pam • Laurie, Jenny, and Cabrini

  25. More Reminders • Book Study Dates and Chapter • Chapter 4: February 10 (Probably posted February 9) • Chapter 5: March 9 • Chapter 6: April 13 • Summer Classes • ED 751- Leadership Class in Spearfish: June 5-7 • ED 741- History Class at TIE: June 18-22

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