Technology + Singapore Strategies = Number Sense · 2012. 4. 21. · Singapore Math: concrete...
Transcript of Technology + Singapore Strategies = Number Sense · 2012. 4. 21. · Singapore Math: concrete...
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Technology + Singapore Strategies = Number Sense
Cassy Turner Lauri 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 am 11:00 12:00
noon
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 Math
Identify 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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ones tens hundreds 10 10 10
10
10
10
10
10
1
1 1 1 1 1 100 100
10
10
10
1
1 1 1 1 1
236 + 86
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ones tens hundreds 10 10 10
10
10
10
10
10
1
1 1 1 1 1 100 100
10
10
10
1
1
1
1 1 1
236 + 86
10
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ones tens hundreds 10 10 10
10
10
10
10
10
100 100
10
10
10
1
1
236 + 86
10
2
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ones tens hundreds
10
10 10
10
10
10
10
10
100 100
10
10
10
1
1
236 + 86
10
100
2 2 3
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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 3
30 6
(30 x 3) + (6 x 3)
36 X 3 18 90 108
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ones tens hundreds
10 10
10
10
10 10
10
10
10
1
1 1
1 1
1
1
1 1
1 1
1
1
1 1
1 1
1
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ones tens hundreds
10 10
10
10
10 10
10
10
10
1
1 1
1 1
1
1
1 1
1 1
1
1
1 1
1 1
1
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ones tens hundreds
10 10
10
10
10 10
10
10
10
1
1 1
1 1
1
1
1 1
1 1
1
1
1 1
1 1
1
10
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ones tens hundreds
10 10
10
10
10 10
10
10
10
1
1
1
1 1
1 1
1
10
100
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53 ÷ 2= ?
tens
2
2 53
-4
1
10 10 10 10 10
1 1 1
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53 ÷ 2= ?
tens ones
2
2 53
-4
13
10
10
10 10 10
1 1 1
1 1
1 1
1
1 1 1
1 1
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53 ÷ 2= ?
tens ones
26 R 1
2 53
-4
13
-12
1
10
10
10 10
1 1
1 1
1
1 1
1 1 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?