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Technology + Singapore Strategies = Number Sense
Cassy Turner Lauri Susi
Jerome Bruner:
enactive iconic symbolic
Singapore Math:
concrete pictorial abstract
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)
Concrete
?
Abstract
Pictorial
7 + 3 =
Concrete
Pictorial
10:15 am 11:00 12:00
noon
2:00 pm
?
7 + 5 = ?
Interactive Ten Frames
Illuminations
Ten Frames
ipad Ten Frame Tools:
10 Frame Fill
by Classroom
Focused
Software
ipad Ten Frame Tools:
Friends of Ten
by Little
Monkey Apps
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
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
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
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
ones tens hundreds 10 10 10
10
10
10
10
10
100 100
10
10
10
1
1
236 + 86
10
2
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
Online Base Ten Tools:
Topmarks Place Value
ipad Base Ten Tools:
Base Ten
Number Blocks
by Elementary
Connection
ipad Base Ten Tools:
Hands-On Math
Base Ten Blocks
By Ventura
Educational
Systems
ipad Base Ten Tools:
Stamp Game
By MontessoriTech
36 x 3
30 6
(30 x 3) + (6 x 3)
36 X 3 18 90 108
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
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
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
ones tens hundreds
10 10
10
10
10 10
10
10
10
1
1
1
1 1
1 1
1
10
100
53 ÷ 2= ?
tens
2
2 53
-4
1
10 10 10 10 10
1 1 1
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
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
Conceptua Math Multiply Fraction Tools
Multiply to find product of “groups of” items
Multiply to find product of “part of” a group
Conceptua Math Divide Fraction Tools
Partitive: equal shares
Quotative: measurement
Provides number line and area models
Conceptua Math
http://www.conceptuamath.com/fractions.html
Questions?
