3rd grade singapore math training: jan 2012
DESCRIPTION
Pedagogical training on Singapore Math StrategiesTRANSCRIPT
Welcome!
Munch & Mingle
K & 1 Were Awesome!
Agenda & Goals
• Review training & implementa9on plan
• Review Singapore Math Pedagogy
• Inves9gate Grade Specific Strategies
Math Pedagogy
• Concrete (manipula9ves) to • Pictorial (visual models or drawings) to • Abstract representa9ons (numbers, symbols)
Jerome Bruner’s research proved that instruc9onal 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 Quan99es and Values Each piece RELATES to all others
Reading with understanding
Procedural How Oral Coun9ng Wri9ng numbers, Spelling numbers Isolated steps or steps without meaning
Phone9c 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 !?
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;!
10
Reflec9ng On Pedagogy
Concrete‐Pictorial‐Abstract (Bruner) Rela9onal Understanding (Skemp)
Mul9ple Representa9ons (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
Math Strategies & Materials
Anchor to 10. Bonds to 10.
Decomposing Numbers
Composing Numbers
Composing Numbers
V!
C!
Decomposing Numbers
Decomposing Numbers
Using Base Ten Blocks to Show Place Value
Addi9on and Subtrac9on with Base Ten Blocks
"
Addi9on and Subtrac9on With Place Value Discs
Addi9on & Subtrac9on With Place Value Discs
Distribu9ve Method: Addi9on
Using Place Value for Rela9onal Understanding 64 + 28 =
Tens + Ones
(60 + 20) + (4+8) =
80 + 12 = 92
Branching Method: Addi9on
Using Number Bonds for Rela9onal Understanding 64 + 28 =
62 2
62 + 30 = 92
Mul9plica9on With Place Value Discs
Mul9plica9on With Place Value Discs
Mul9plica9on With Place Value Discs (Pictorial)
Distribu9ve Method: Mul9plica9on
Using Place Value for Rela9onal Understanding 22 x 3 =
(20 x 3) + (2 x 3)=
60 + 6 = 66
Branching Method: Mul9plica9on
Using Number Bonds &
Place Value
For Rela9onal Understanding