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1st Grade Singapore Math Training: Jan 2012
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  • 1. Welcome!Munch & Mingle
  • 2. Kindergarten Was Awesome! 
  • 3. Agenda & Goals •  Review training & implementa8on plan •  Review Singapore Math Pedagogy •  Inves8gate Grade Specific Strategies 
  • 4. Math Pedagogy Jerome Bruner’s research proved that instruc8onal strategies build understanding for students when they move from… •  Concrete (manipula8ves) to  •  Pictorial (visual models or drawings) to •  Abstract representa8ons (numbers, symbols) 
  • 5. Math Pedagogy  Richard Skemp’s research proved that for long term learning to  occur rela(onal understanding is more successful than  instrumental learning.  Rela(onal Understanding  Instrumental Understanding Conceptual  Procedural WHY before HOW  How One to One Correspondence  Oral Coun8ng Quan88es and Values  Wri8ng numbers, Spelling numbers Each piece RELATES to all others  Isolated steps or steps without meaning Reading with understanding  Phone8c or word calling 
  • 6. Math Pedagogy Zoltan Diene’s research proved that children gain the most conceptual understanding when they are exposed to a concept through a variety of materials or experiences.  Perceptual Variability  ? z! ;! p! /! " q!
  • 7. Reflec8ng On Pedagogy Turn and Talk:  Summarize each of these with your group.   Concrete‐Pictorial‐Abstract (Bruner)   Rela8onal Understanding (Skemp)   Mul8ple Representa8ons (Dienes) 
  • 8. Dyscalculia These students see numbers as fixed and solid.  7 Other students see numbers as breakable.  6,1        5,2         4,3  
  • 9. Composing Numbers 
  • 10. Composing Numbers  V! C!
  • 11. Composing Numbers 
  • 12. Composing Numbers 
  • 13. Decomposing Numbers 
  • 14. Decomposing Numbers 
  • 15. Decomposing Numbers 
  • 16. Decomposing Numbers 
  • 17. Number Bonds 
  • 18. Math Strategies & Materials  Anchor to 5.  Bonds to 5. 
  • 19. Math Strategies & Materials  Anchor to 10.  Bonds to 10. 
  • 20. Decomposing Numbers 
  • 21. Decomposing Numbers