stop pulling teeth: how to extract students mathematical thinking deb rosenfeld suenita lawrence...
TRANSCRIPT
Stop Pulling Teeth:How to extract students’ mathematical thinking
Deb Rosenfeld
Suenita Lawrence
Education Development Center, Inc.
Jane bought a birthday card.
She gave the cashier $3
and received 3 coins as change.
Agenda
• What’s a headline story?• Using headline stories in your
classroom• Let’s make some headline stories!
Prompting Questions
• What can you say?• What questions can you ask?• What do you want to figure out?• What can you predict?• What else do you need to know?
Features of Headline Stories
• No particular question is asked• Open-ended so there are multiple
approaches and solutions • Lead to further questions• Allow for finding math in everyday
situations• No key words
Framing Assessment
WHAT? WHY? HOW?
Formative Assessment
What is formative assessment?
• Assessing as you go
• Part of your instruction
Why formative assessment?
• Shows what students know and can do
• Helps teachers to: – better understand students’ thinking and
reasoning– pinpoint students’ errors or
misunderstandings
• Informs further instruction
Formative assessment: How?
• Inquiry style discussion
• Routine check-ins
• Headline Stories!
From the classroom…
+ = 10Consider what each response
tells you about students’ thinking and understanding
Grade 1 Responses
Grade 5 Responses
+ = 10
• 1 + 9• 0.1 + 9.9• 0.1 100• 0.01 1,000• 2 1/2 + 7 1/2• 8 feet + 24 inches = 10 feet• 5 feet + 60 inches = 10 feet• 9.9999999998 + 0.0000000002• A + 0 = 10 so A = 10• A + B = 10, B + A = 10, 10 - A = B, 10 - B = A
Create your own Headline Story
• Think of a skill to assess
• Think of a context where it might be used
• Describe that scenario without posing a question
Recording student responses
• Student idea page:
My idea, someone else’s idea, new idea
• Snapshot of students’ responses:
Display on chart paper, take a picture, type up responses
Teachers’ Voices
“[Headline Stories] get students thinking outside the box. How many different ways can you come up with one thing? And all of them are right…It’s making them see that there are different options.” - CV
“[Headline Stories] make them think of their own things. It gets the mathematical mind started.” - JT
“It gets students to think more abstractly.” - LW
Teachers’ Voices
Thank you!We hope you try out Headline Stories in your
classroom!
For more on Headline Stories and Think Math, look us up on the web:
http://www2.edc.org/mathworkshop
or e-mail us at: [email protected]@edc.org