Technology + Singapore Math = Number Sense
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Transcript of Technology + Singapore Math = Number Sense
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Technology + Singapore Strategies = Number Sense
Cassy TurnerLauri Susi
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Jerome Bruner:
enactive iconic symbolic
Singapore Math:
concrete pictorial abstract
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Singapore Teaching Model
Assessing
Understanding• Initiating• Abstracting• Schematizing
Transferring
• Applying understanding
Consolidating• Recall with speed & accuracy
Source: Teaching primary school mathematics: A resource book (2009)
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Concrete
?
Abstract
Pictorial
7 + 3 =
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Concrete
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Pictorial
10:15 am11:00
12:00noon
2:00 pm
?
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7 + 5 = ?
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Interactive Ten Frames
Illuminations Ten Frames
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ipad Ten Frame Tools:
10 Frame Fill by Classroom Focused Software
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ipad Ten Frame Tools:
Friends of Ten by Little Monkey Apps
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Conceptua MathIdentify Fractions Tool
Support C-P-A sequence of instruction
Supports composing and decomposing numbers
Multiple visual representations
Provides context, models and numbers
Supports teachers and students
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Conceptua Math Fraction Tools
Add Fractions with Common Denominators
Subtract Fractions with Common Denominators
Add Fractions with Uncommon Denominators
Subtract Fractions with Uncommon Denominators
Pattern Blocks
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onestenshundreds10
10
10
10
10
10
10
10
1
11 1 11100
100
10
10
10 1
11 1 11
236 + 86
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onestenshundreds10
10
10
10
10
10
10
10
1
11 1 11100
100
10
10
10 1
1
1
1 11
236 + 86
10
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onestenshundreds10
10
10
10
10
10
10
10
100
100
10
10
10
1
1
236 + 86
10
2
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onestenshundreds
10
10
10
10
10
10
10
10
100
100
10
10
10
1
1
236 + 86
10
100
223
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Online Base Ten Tools:
NLVM Place Value
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Online Base Ten Tools:
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Online Base Ten Tools:Topmarks Place Value
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ipad Base Ten Tools:
Base Ten Number Blocks by Elementary Connection
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ipad Base Ten Tools:
Hands-On Math Base Ten Blocks By Ventura Educational Systems
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ipad Base Ten Tools:
Stamp Game By MontessoriTech
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36 x 330 6
(30 x 3) + (6 x 3)
36 X 3 18 90108
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ones
tenshundreds 10 10
10
10
10 10
10
10
10
1
11
11
1
1
11
11
1
1
11
11
1
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ones
tenshundreds 10 10
10
10
10 10
10
10
10
1
11
11
1
1
11
11
1
1
11
11
1
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ones
tenshundreds 10 10
10
10
10 10
10
10
10
1
11
11
1
1
11
11
1
1
11
11
1
10
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ones
tenshundreds 10 10
10
10
10 10
10
10
10
1
1
1
11
11
1
10
100
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53 ÷ 2= ?
tens
22 53 -4 1
10 10 101010
111
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53 ÷ 2= ?
tens ones
22 53 -4 13
10
10
101010
111
11
11
1
111
11
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53 ÷ 2= ?
tens ones
26 R 12 53 -4 13 -12 1
10
10
1010
11
1 1
1
1 1
11 1
1
1
1
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Conceptua Math Multiply Fraction Tools
Multiply to find product of “groups of” items
Multiply to find product of “part of” a group
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Conceptua Math Divide Fraction Tools
Partitive: equal shares
Quotative: measurement
Provides number line and area models
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Conceptua Math
http://www.conceptuamath.com/fractions.html
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Questions?