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Developing Higher Order Thinking and Knowledge Producers Math
Look Around You
What does it look like when students are good at math?
Students in Dan’s Class  lack of initiative  lack of perseverance  lack of retention  aversion to word problems  eager for formula And yours?
What skills, strategies and attitudes do students need to solve the problem? http://todaysmeet.com/critical
Traditional Math Problems  3 bits of information paving way to one answer  often using operations taught that week  not realistic  not framed by students And yours?
Ticket roll – The Problem?
What is the problem?What skills etc. do students need to solve the problem? http://todaysmeet.com/critical
Fuel Gage – The Problem?
Dan Meyer: math needs a makeover
Meyer et. al. Paul Lockhart Alfie Kohn Joseph Ganem Conrad Wolfram Malcolm Swan
The Thinking Math Teacher  sees a math world   helps kids make the problems  lets them struggle  provides a framework (some technique), doesn't pave the road
About the Process teach kids how to break a problem into parts decide what you’d accept as evidence of non-computational math assess what they can prove they know, not the answer they give
About the Process encourage talk and collaboration develop a list of resources and provide technology to help them find things use images often – they help us associate and be critical and creative
Developing Higher Order Thinking and Knowledge Producers Writing
Before viewing Brainstorming (http://bubbl.us/ or Inspiration)
Before: Google Jockey for Vocabulary
During – Viewing 2 Why does the father do all the talking ? Whose voices aren’t heard? What is in the foreground (most important) and what is in the background? What are the characters wearing? Why? How do the actions of the characters reinforce gender roles? http://ietherpad.com/6iqZVp4w3Y
During – Viewing 2 Revise to show judgement Evidence Criteria Relate to other understanding (synthesis) http://ietherpad.com/6iqZVp4w3Y
After: Google Jockey “Non-traditional + family”
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.”
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
After: Whose voice does Mercer use? Google Jockey
Co-construction: What we know about composing and creating http://todaysmeet.com/critical
The Thinking Writing Teacher justify, choose based on criteria, make judgement teach through all receptive strands to get to good expressive Before, During and After  co-construct criteria based on the receptive break task into chunks
What does it look like when students are good at writing?
About the Process “Alouds” as much as possible start with the (authentic) audience and purpose co-construction of criteria that grows spend 1/3 time on prewriting
About the Process kids pick the tools and the question for writing assessment at all stages focus peer and self assessment on text features, purpose etc. not just mechanics and grammar

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Higher Order Thinking in Math and Writing

  • 1. Developing Higher Order Thinking and Knowledge Producers Math
  • 3. What does it look like when students are good at math?
  • 4.
  • 5. Students in Dan’s Class lack of initiative lack of perseverance lack of retention aversion to word problems eager for formula And yours?
  • 6. What skills, strategies and attitudes do students need to solve the problem? http://todaysmeet.com/critical
  • 7. Traditional Math Problems 3 bits of information paving way to one answer often using operations taught that week not realistic not framed by students And yours?
  • 8. Ticket roll – The Problem?
  • 9. What is the problem?What skills etc. do students need to solve the problem? http://todaysmeet.com/critical
  • 10. Fuel Gage – The Problem?
  • 11.
  • 12. Dan Meyer: math needs a makeover
  • 13. Meyer et. al. Paul Lockhart Alfie Kohn Joseph Ganem Conrad Wolfram Malcolm Swan
  • 14. The Thinking Math Teacher sees a math world helps kids make the problems lets them struggle provides a framework (some technique), doesn't pave the road
  • 15. About the Process teach kids how to break a problem into parts decide what you’d accept as evidence of non-computational math assess what they can prove they know, not the answer they give
  • 16. About the Process encourage talk and collaboration develop a list of resources and provide technology to help them find things use images often – they help us associate and be critical and creative
  • 17. Developing Higher Order Thinking and Knowledge Producers Writing
  • 18. Before viewing Brainstorming (http://bubbl.us/ or Inspiration)
  • 19. Before: Google Jockey for Vocabulary
  • 20. During – Viewing 2 Why does the father do all the talking ? Whose voices aren’t heard? What is in the foreground (most important) and what is in the background? What are the characters wearing? Why? How do the actions of the characters reinforce gender roles? http://ietherpad.com/6iqZVp4w3Y
  • 21. During – Viewing 2 Revise to show judgement Evidence Criteria Relate to other understanding (synthesis) http://ietherpad.com/6iqZVp4w3Y
  • 22. After: Google Jockey “Non-traditional + family”
  • 23. 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.”
  • 24. 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
  • 25. After: Whose voice does Mercer use? Google Jockey
  • 26. Co-construction: What we know about composing and creating http://todaysmeet.com/critical
  • 27. The Thinking Writing Teacher justify, choose based on criteria, make judgement teach through all receptive strands to get to good expressive Before, During and After co-construct criteria based on the receptive break task into chunks
  • 28. What does it look like when students are good at writing?
  • 29. About the Process “Alouds” as much as possible start with the (authentic) audience and purpose co-construction of criteria that grows spend 1/3 time on prewriting
  • 30. About the Process kids pick the tools and the question for writing assessment at all stages focus peer and self assessment on text features, purpose etc. not just mechanics and grammar