This training prepared teachers to observe a model lesson on Math Talk, Ten Frames, and Number Bonds.

1. Welcome!
Munch & Mingle

2. Yesterday’s Group Was Awesome

3. Agenda & Goals
• Review training & implementa:on plan
• Review Singapore Math Pedagogy
• Inves:gate Grade Specific Strategies

4. Math Pedagogy
• Concrete (manipula:ves) to
• Pictorial (visual models or drawings) to
• Abstract representa:ons (numbers, symbols)
Jerome Bruner’s research proved that instruc:onal strategies
build understanding for students when they move from…

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
WHY before HOW
One to One Correspondence
Quan::es and Values
Each piece RELATES to all others
Reading with understanding
Procedural
How
Oral Coun:ng
Wri:ng numbers, Spelling numbers
Isolated steps or steps without meaning
Phone:c 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
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7. Reflec:ng On Pedagogy
 Concrete‐Pictorial‐Abstract (Bruner)
 Rela:onal Understanding (Skemp)
 Mul:ple Representa:ons (Dienes)
Turn and Talk: Summarize each of these with your group.

8. Math Strategies & Materials
Anchor to 5. Bonds to 5.

9. Math Strategies & Materials
Anchor to 10. Bonds to 10.

10. Tens and Ones
How do you teach tens and ones?
What different models do you use?
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12. Math Talk
“Look & Talk” or “Look & Count”

13. Look at the different kinds of ques:ons.
How could you match ques:ons to student’s
math readiness?
Pages 10‐11

14. Beginning
Count together
One to One Corr.
Intermediate
Student counts
Touching objects
Move towards not
Manipula:ves
Advanced
Group similar objects
Grouping for coun:ng
Making number bonds
Challenge
Coun:ng beyond pic
If one more frog…
If one less frog…
Making stories
Asking Ques:ons for Math Talk