Technology + Singapore Strategies = Number Sense · 2012. 4. 21. · Singapore Math: concrete...

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:

NLVM Place Value

Online Base Ten Tools:

NLVM Place Value

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?

Contact Us:

cassy@singaporemathsource.com

lsusi@conceptuamath.com