technology + singapore math = number sense
DESCRIPTION
Powerpoint from a NCTM 2012 National Conference session. Because it was an interactive session, the powerpoint isn't too exciting, but it does have links to most of the online tools and apps that we demonstrated in the session.TRANSCRIPT
Technology + Singapore Strategies = Number Sense
Cassy TurnerLauri 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 am11:00
12:00noon
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 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
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
onestenshundreds10
10
10
10
10
10
10
10
1
11 1 11100
100
10
10
10 1
11 1 11
236 + 86
onestenshundreds10
10
10
10
10
10
10
10
1
11 1 11100
100
10
10
10 1
1
1
1 11
236 + 86
10
onestenshundreds10
10
10
10
10
10
10
10
100
100
10
10
10
1
1
236 + 86
10
2
onestenshundreds
10
10
10
10
10
10
10
10
100
100
10
10
10
1
1
236 + 86
10
100
223
Online Base Ten Tools:
NLVM Place Value
Online Base Ten Tools:
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 330 6
(30 x 3) + (6 x 3)
36 X 3 18 90108
ones
tenshundreds 10 10
10
10
10 10
10
10
10
1
11
11
1
1
11
11
1
1
11
11
1
ones
tenshundreds 10 10
10
10
10 10
10
10
10
1
11
11
1
1
11
11
1
1
11
11
1
ones
tenshundreds 10 10
10
10
10 10
10
10
10
1
11
11
1
1
11
11
1
1
11
11
1
10
ones
tenshundreds 10 10
10
10
10 10
10
10
10
1
1
1
11
11
1
10
100
53 ÷ 2= ?
tens
22 53 -4 1
10 10 101010
111
53 ÷ 2= ?
tens ones
22 53 -4 13
10
10
101010
111
11
11
1
111
11
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
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?
