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Mathematics Leaders ’ Video Conference

Join our video conference to explore problem solving in mathematics and discuss the teacher's role in implementation. Learn and implement the 5 practices for productive math discussions.

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Mathematics Leaders ’ Video Conference

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  1. Mathematics Leaders’Video Conference Wednesday 31st May, 2017

  2. While you are waiting: 1. Click https://docs.google.com/spreadsheets/d/17meosr60dHvVKAvVPOQ1jXkOy3w3PWh_XtVwsss00m4/edit#gid=0 and add your name to the list

  3. Revisit Protocols for video conferences We Will • Mute the microphone when we are not speaking • Speak in a normal voice and talk directly into the microphone. When you start talking, JUST KEEP TALKING! Try not to ask "can you hear me?" • Listen to and show respect for the opinions of others and not engage in side conversations

  4. Learning Intentions: We are learning to: • Explore problem solving in mathematics • Expand our knowledge of the teacher’s role in problem solving and implementation within the classroom

  5. Success Criteria: We will be successful when we can… • Clearly articulate what problem solving is, based on research • Reflect on the role of the teacher in problem solving • Implement the 5 Practices for Orchestrating Productive Math Discussions

  6. Definition of Problem Solving Problem solving in Polya's view is about engaging with real problems; guessing, discovering, and making sense of mathematics. • seeking solutions not just memorising procedures • exploring patterns not just memorising formulas • formulating conjectures, not just doing exercises.

  7. What is the Teacher's Role in Problem Solving? REVISIT Mathedology Video- FPS4 Exploring the Teacher's Role in Problem Solving

  8. What actions have you taken? Sharing Amy Ward - Role of the teacher in Problem solving Teresa - Focus on vocabulary within problem solving Adele Webster-F- 6 Scope and Sequence for Problem Solving Strategies Dee Lawlor- Working with Parents and students introducing the importance of Problem Solving Opportunity for others to share

  9. George Polya • Lived between 1887 and 1985 • Famous 20th century mathematician of Hungarian descent • Known for many major mathematical theories • Fascinated with how people worked through mathematical problems • Famous for a quote that relates to it being better to work on one problem in many different ways rather than working on many problems in the same way

  10. What are the research based Problem Solving Strategies? Make a table Draw a Diagram/Picture Solve a simpler, related problem Guess and check- Guess and Improve Make a list Act it out Identify a Pattern Make a Model Use Concrete Materials Work Backwards Write a Number sentence Logical Reasoning

  11. 5 Practices for Orchestrating Productive Math Discussions

  12. Step 1 Anticipating • Do the problem yourself • What are students likely to produce? • Which problems will most likely be the most useful in addressing the mathematics?

  13. PROBLEM A pattern of dots is shown below. At each step, more dots are added to the pattern. The number of dots added at each step is more than the number added in the previous step. The pattern continues indefinitely. Marcy has to determine the number of dots in the 20th step, but she does not want to draw all 20 pictures and then count the dots. Explain or show how she could do this and give the answer that Marcy should get for the number of dots.

  14. 5 Practices for Orchestrating Productive Math Discussions

  15. Resources • Mathedology Videos - Origo SLATE • Thinking Caps - Origo SLATE • Reys et al(2002) Chapter 6 - Helping Children with Problem Solving • Shapiro Books- “Solve That Problem” Middle & Senior • Maths 300 http://www.maths300.com/ • Lighting Mathematical Fires • Lighting Mathematical Fires 2

  16. Resources • Prep-2 Problem Solving. Draper & Kotros • Work It Out: Strategies for Problem Solving in Mathematics by Tom Hill • All You Need to Teach Problem Solving for Ages 5-8

  17. Success Criteria: We will be successful when we can… • Clearly articulate what problem solving is, based on research • Reflect on the role of the teacher in problem solving • Implement the 5 Practices for Orchestrating Productive Math Discussions

  18. Actions From this meeting: What actions might/could/should be pursued? If so: –WHO will be responsible for this action? WHEN will this action be completed? By the……...I will………. So that………. Evidence………….

  19. Evaluation A link will be sent out to all participants for feedback on the session

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