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Communities of Learners

Communities of Learners. Building Capacity. FIVE DSB1 Teachers Attend Ministry Math Camp in August 2011. Research on Growing Linear Patterns by Cathy Bruce and Ruth Beatty Grades: 5-8. Teachers also attend Sessions for grades 3-6 and K-3. Proportional Reasoning K-3.

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Communities of Learners

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  1. Communities of Learners Building Capacity

  2. FIVE DSB1 Teachers Attend Ministry Math Camp in August 2011

  3. Research on Growing Linear Patterns by Cathy Bruce and Ruth Beatty Grades: 5-8

  4. Teachers also attend Sessions for grades 3-6 and K-3

  5. Proportional Reasoning K-3

  6. OAME Leadership Conferencespring 2011 Multiple Representations of Fractions (Junior Division)

  7. OAME Leadership Conference, Spring 2011 Rich, Authentic Tasks for Problem-Based Learning

  8. OAME Leadership Conference Intermediate Division

  9. Co-Planning

  10. Co-Teaching/Observing

  11. PD at DJPS

  12. NOMA Northern Ontario Math Association Satellite Site: New Liskeard Board Office, Saturday, October 22, 2011

  13. PD at DJPS NOMA Saturday, October 22, 2011

  14. Growing Linear Patterns

  15. What is Additive Thinking? When students use additive thinking, they consider the change in only one set of data. For instance, in the examples below, students can recognize that the pattern increases by 3 blue tiles each time, or that the value in the right column increases by 3 each time. Students who utilize only additive thinking do not recognize the co-variation between the term number and tiles, or between the two columns in the table. +3 1 2 3 +3 +3 +3

  16. Multiplicative Thinking • Understanding the co-variation of two sets of data • For instance, in this pattern, the mathematical structure can be articulated initially by a pattern rule, number of tiles = term number x3+1 • In older grades more formal symbolic notation can be used, y=3x+1 • This allows students to confidently predict the number of tiles for any term of the pattern 1 2 3

  17. Multiple Representations of Growing Linear Patterns

  18. Growing Linear Patterns

  19. Tiles = position number x1+1 Tiles = position number x3+1 Tiles = position number x5+1 What is similar in the 3 rules? What is different? What is similar in the 3 patterns? What is different? What is similar about the trend lines on the graph? What is different?

  20. Tiles = position number x3+2 Tiles = position number x3+6 Tiles = position number x3+9 What is similar in the 3 rules? What is different? What is similar in the 3 patterns? What is different? What is similar about the trend lines on the graph? What is different?

  21. JUSTIFICATION FRAMEWORK

  22. Landscape of Learning Patterning and Algebra K-8

  23. EQAO, Report Card Implementation

  24. Summer Institute:August, 2011

  25. Summer Institute Gets Teachers From Across the Board Sharing

  26. Summer Institute Promotes Collaborative Planning

  27. Networking Between Schools

  28. Fluency in Operations through Math Activities

  29. Summer Institute 2011: Growing Linear Patterns for the Classroom

  30. Our Goals: • Focus on student achievement • Build trust with principals, teachers, families • Collective efficacy • Build mathematics leadership capacity • Increasing student comfort/enthusiasm for math • Respect for specialization and diversity • Collective learning • Support each other with challenges • Build on each other’s learning

  31. Leadership “The heart of school improvement rests in improving daily teaching and learning practices in schools, including engaging students and their families.” Ben Levin, 2008

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