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Welcome!
Munch & Mingle
Kindergarten Was Awesome!
Agenda & Goals
• Review training & implementa8on plan
• Review Singapore Math Pedagogy
• Inves8gate Grade Specific Strategies
Math Pedagogy
• Concrete (manipula8ves) to • Pictorial (visual models or drawings) to • Abstract representa8ons (numbers, symbols)
Jerome Bruner’s research proved that instruc8onal strategies build understanding for students when they move from…
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 WHY before HOW One to One Correspondence Quan88es and Values Each piece RELATES to all others
Reading with understanding
Procedural How Oral Coun8ng Wri8ng numbers, Spelling numbers Isolated steps or steps without meaning
Phone8c or word calling
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
p!/!
q !
z!
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";!
Reflec8ng On Pedagogy
Concrete‐Pictorial‐Abstract (Bruner) Rela8onal Understanding (Skemp)
Mul8ple Representa8ons (Dienes)
Turn and Talk: Summarize each of these with your group.
Dyscalculia
These students see numbers as fixed and solid.
7
Other students see numbers as breakable.
6,1 5,2 4,3
Composing Numbers
Composing Numbers
V!
C!
Composing Numbers
Composing Numbers
Decomposing Numbers
Decomposing Numbers
Decomposing Numbers
Decomposing Numbers
Number Bonds
Math Strategies & Materials
Anchor to 5. Bonds to 5.
Math Strategies & Materials
Anchor to 10. Bonds to 10.
Decomposing Numbers
Decomposing Numbers