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Annie Fetter • @MFAnnie • #NoticeWonder Noticing and Wondering in the Elementary Grades Annie Fetter [email protected], @MFAnnie 2020 SD STEM Ed Conference, #SDSTEMEd Slides and links to related resources will be available on my blog after the talk: annie.mathematicalthinking.org

Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

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Page 1: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Noticing and Wondering in the Elementary Grades

Annie Fetter [email protected], @MFAnnie

2020 SD STEM Ed Conference, #SDSTEMEd

Slides and links to related resources will be available on my blog after the talk:

annie.mathematicalthinking.org

Page 2: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Page 3: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Story Time

Page 4: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

What Did You Hear?

Page 5: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Let’s Hear It Again

Page 6: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

What Did You Hear?

Page 7: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

I Notice I Wonder

Page 8: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Problem of the Week Scenario

Wooden Legs

Wendy builds wooden dollhouse furniture. She uses the same kind of legs to make 3-legged stools and 4-legged tables.

She has a supply of 31 legs.

© National Council of Teachers of Mathematics https://www.nctm.org/pows/

Page 9: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Growing Worms Scenario

Page 10: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

What Did You See?

Page 11: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Growing Worms Scenario

Page 12: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

What Did You See?

Page 13: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

I Notice I Wonder

Page 14: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Growing Worms Scenario

Page 15: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Growing Worms Student NW

Page 16: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Page 17: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Page 18: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

I Notice I Wonder

Page 19: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Problem of the Week Scenario

Frog Farming

Farmer Mead would like to raise frogs.

She wants to build a rectangular pen for them and has found 36 meters of fencing in her barn that she would like to use.

She knows that each frog needs one square meter of area (1 m2).

© National Council of Teachers of Mathematics https://www.nctm.org/pows/

Page 20: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

I Notice I Wonder

Page 21: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

CCSS Mathematical Practice 1Make sense of problems and persevere in solving them.

Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution.

They analyze givens, constraints, relationships, and goals.

They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt.

Page 22: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

#NoticeWonder with Textbooks

Page 23: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

#NoticeWonder with Textbooks

Page 24: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Using NW to Figure Out Rules

Page 25: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Using NW to Figure Out Rules

Page 26: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Using NW to Figure Out Rules

Page 27: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Using NW to Figure Out Rules

Page 28: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Using NW to Figure Out Rules

Page 29: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Using NW to Reflect

Page 30: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

NW to Reflect: 216 + 188

Page 31: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Doesn’t It Take a Lot of Time? Time We Don’t Have?

Page 32: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Tina Cardone @crstn85

#NoticeWonder as a Launch

Page 33: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

http://drawingonmath.blogspot.com/2014/11/distance-graph.html

Page 34: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

How Long Does it Take?

Page 35: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

What If It Doesn’t Work?

(meaning they don’t wonder the thing you want them to)

Page 36: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

What If It Doesn’t Work? (meaning they don’t wonder the thing you want them to)

Page 37: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

#NoticeWonder School Culture

Page 38: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Other Tips from Twitter

Page 39: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

More Resources - Ignite Video

Page 40: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

More Resources – Book + Videos• Powerful Problem Solving, by Max

Ray-Riek • Videos of grades 3-8 doing Notice

and Wonder (including Teresa’s Tiles and Growing Worms) from http://mathforum.org/pps/

Page 41: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

More Resources - #NoticeWonder

Page 42: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Next Steps

Write down two things you noticed today and two things

you’re wondering.

Page 43: Noticing and Wondering in the Elementary Gradesfiles.mathematicalthinking.org/annie/FetterSDSTEM2020F... · 2020. 2. 9. · Annie Fetter • @MFAnnie • #NoticeWonder Noticing and

Annie Fetter • @MFAnnie • #NoticeWonder

Thank you!

Annie Fetter [email protected], @MFAnnie

Slides and links to related resources will be available on my blog after the talk:

https://mathematicalthinking.org/annie/