Higher Order Thinking in Math and Writing
description
Transcript of Higher Order Thinking in Math and Writing
![Page 1: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/1.jpg)
Developing Higher Order Thinking and Knowledge ProducersMat
h
![Page 3: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/3.jpg)
What does it look like when students are good at math?
![Page 4: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/4.jpg)
![Page 5: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/5.jpg)
Students in Dan’s Class
0 lack of initiative0 lack of perseverance0 lack of retention0 aversion to word problems0 eager for formula
And yours?
![Page 6: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/6.jpg)
http://todaysmeet.com/critical
What skills, strategies and attitudes do students need to
solve the problem?
![Page 7: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/7.jpg)
Traditional Math Problems
0 3 bits of information0 paving way to one answer0 often using operations taught that week0 not realistic0 not framed by students
And yours?
![Page 8: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/8.jpg)
Ticket roll – The Problem?
![Page 9: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/9.jpg)
http://todaysmeet.com/critical
What is the problem?What skills etc. do students need to solve the problem?
![Page 10: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/10.jpg)
Fuel Gage – The Problem?
![Page 11: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/11.jpg)
![Page 12: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/12.jpg)
Dan Meyer: math needs a makeover
![Page 13: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/13.jpg)
Meyer et. al.
0Paul Lockhart0Alfie Kohn0Joseph Ganem0Conrad Wolfram0Malcolm Swan
![Page 14: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/14.jpg)
The Thinking Math Teacher
0 sees a math world 0 helps kids make the problems0 lets them struggle0 provides a framework (some
technique), doesn't pave the road
![Page 15: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/15.jpg)
About the Process
0 teach kids how to break a problem into parts0decide what you’d accept as evidence of
non-computational math0assess what they can prove they know,
not the answer they give
![Page 16: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/16.jpg)
About the Process
0encourage talk and collaboration0develop a list of resources and provide
technology to help them find things0use images often – they help us associate
and be critical and creative
![Page 17: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/17.jpg)
Developing Higher Order Thinking and Knowledge Producers
Writing
![Page 20: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/20.jpg)
During – Viewing 2
1. Why does the father do all the talking ? Whose voices aren’t heard?
2. What is in the foreground (most important) and what is in the background?
3. What are the characters wearing? Why?4. How do the actions of the characters
reinforce gender roles?
http://ietherpad.com/6iqZVp4w3Y
![Page 21: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/21.jpg)
During – Viewing 2
Revise to show judgement0Evidence0Criteria0Relate to other understanding (synthesis)
http://ietherpad.com/6iqZVp4w3Y
![Page 22: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/22.jpg)
After: Google Jockey “Non-traditional + family”
![Page 23: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/23.jpg)
After – Powerful Words
“Traditionally if you mixed the races you were shunned, and there’s nothing wrong with an old fashioned traditional shunning. Isn’t that right honey? Like we did to your sister when she dated that Arab boy in university – you don’t know her, kids, she’s dead to us now.”
![Page 24: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/24.jpg)
What loaded language does Mercer use?
Connotation: an idea that is implied or suggested by the word used
Denotation: the literal meaning or "dictionary definition" of a term, devoid of emotion
Word Connotationshunning Outside society, taboo, not welcome,
hated, shameful
![Page 26: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/26.jpg)
Co-construction: What we know about composing and creating
http://todaysmeet.com/critical
![Page 27: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/27.jpg)
The Thinking Writing Teacher
0justify, choose based on criteria, make judgement
0teach through all receptive strands to get to good expressive
0Before, During and After 0co-construct criteria based on
the receptive0break task into chunks
![Page 28: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/28.jpg)
What does it look like when students are good at writing?
![Page 29: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/29.jpg)
About the Process
0“Alouds” as much as possible0start with the (authentic) audience
and purpose0co-construction of criteria that
grows0spend 1/3 time on prewriting
![Page 30: Higher Order Thinking in Math and Writing](https://reader033.fdocuments.in/reader033/viewer/2022061219/54835502b079591a0c8b49aa/html5/thumbnails/30.jpg)
0kids pick the tools and the question for writing0assessment at all stages0focus peer and self assessment
on text features, purpose etc. not just mechanics and grammar
About the Process