Understanding Student Thinking in Geometry and Measurement

Thinking Back and Moving Forward

Future Dates

October 22-29: First book study postingJanuary 9, 20, and 24: 8 Standards of Mathematical Practice trainingJanuary 30-31: 2nd Geometry/Measurement ClassMarch 19-20: 3rd Geometry/Measurement ClassApril 15-17: TIE Conference in Sioux FallsApril 25-28: NCTM National Conference in Philadelphia, PAJune 5-7: Leadership ED 751 Class in SpearfishJune 18-22: History ED 741 Class at TIE

Course Goals

• To deepen instructive content knowledge around geometry and measurement.

• Recognize key mathematical ideas with which their students are grappling.

• Find ways to support the power and complexity of student thinking.

• Recognize typical student misconceptions related to geometry and measurement.

• Develop strategies to help students move beyond these misconceptions and facilitate conceptual understanding.

• To understand how core mathematical ideas in geometry and measurement develop across grades.

• To deepen mathematics content knowledge in geometry and measurement.

Course Checklist

Sherry

Tammy Jo

Pegge

Joni

Annie

Group Tasks

• Recorder: Traveled the farthest this summer

• Time Keeper and Materials: Took the most classes this summer

• Presenter: Has a birthday closest to July 4th…the peak of summer

Van Hiele Levels

• In groups, discuss the reading from homework in the Van de Walle book.

• Share the big ideas with your group.

• Write the common big ideas on chart paper and post on wall.

Shape Sorts

• Van de Walle– K-3 Activity 7.1 pgs. 194-195– 3-5 Activity 8.1 pgs. 212-213

• through bullets one and two, DO bullet three, bullet four, and DO bullet five.

• With your group, discuss the question at the STOP sign and then read and discuss the “Assessment Note” on pg. 214 or 195.

READREAD

Trish

Mary

Marcy

Pam

Geoboard Expansion

• Refer toVan de Walle– K-3 Activity 7.3 pg. 197– 3-5 Activity 8.3 pg. 215

• Also refer to Kathy Richardson book pg. 50

• Use “Geoboard Shapes to Copy” handout for this activity

Mystery Definition

• Refer to Van de Walle– K-3 Activity 7.6 pg. 207– 3-5 Activity 8.6 pgs. 224-225

• Also refer to Kathy Richardson book pg. 52

Mystery Definition Cont.

Mystery Definition Cont.

• Partner up with someone at your table who is wearing similar colors as you.

• Design your own Mystery Definition and have your partner solve it.

• Refer to Figures 7.14 pg. 206 (K-3) or 8.14 pg. 225 (3-5)

Triangle Sort

• Refer to Van de Walle• Not in K-3 book• 3-5 Activity 8.7 pg. 225• Your task is to sort the entire

collection into three groups so that no triangle belongs in two groups.

• Once your first sort is done, find a second criterion for creating three different groupings.

Reflections/Closure

• Geometry Presentations tomorrow:– Nancy/Lindsey– Mary/Jami– Cathleen/ Gail– Marcy/Pegge– Cheri/Kelly/Heather– Annie/Pam

• Complete Daily Reflection handout and turn it in. See you tomorrow morning at 8:00!

Should Math Be Taught In Schools?

Miss USA 2011 — Should Math Be Taught In Schools - YouTube.flv

Jami

Nancy

Lindsey

Cathleen

3-D Creativity

• Construct your play dough into a 3-D geometric shape that describes you this week. Be ready to explain it.

Quick Images

• Read Introduction pgs. 1-3• Read Cases 1, 2, and 5• Answer focus question 1-4 on

pg. 38

Quick Images Cont.

• In small groups discuss focus questions for cases 1,2 and 5.

• When discussing be sure to discuss the language and results you observed when students completed Circle the Triangle activity to the children’s language and thinking in the cases.

Laurie

Jenny

Sandra

Sandy

What’s in the Envelope?

Refer to handout pg. 39

Developing Meaning for Geometric Terms

• Read Cases 9, 10, and 11. • Independently answer focus

questions 1-3 on handout pg. 50.

GailBonnieHeather

Kelly

Cheri

Angles in a Triangle

In partners, complete questions 1, 2, 4, and 5 on handout pg. 51.

Geometry Presentations

Lindsey/NancyMary/JamiCathleen/GailMarcy/PeggeCheri/Kelly/HeatherSandra C./TrishAnnie/Pam

Gail’s Menu Math

Closure

• Homework for next class• Exit Question