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.

1. Technology + Singapore Strategies
= Number Sense
Cassy Turner
Lauri Susi

2. Jerome Bruner:
enactive iconic symbolic
Singapore Math:
concrete pictorial
abstract

3. Singapore Teaching Model
Transferring Understandi
•Applying
understanding ng
•Initiating
Assessin •Abstracting
•Schematizing
g
Consolidating
• Recall with speed & accuracy
Source: Teaching primary school mathematics: A resource book (2009)

4. Concrete
?
Pictorial
7+3=
Abstract

5. Concrete

8. Pictorial
?
10:15 am 11:00 12:00 2:00
noon pm

10. 7+5=?

11. Interactive Ten Frames
Illuminations
Ten Frames

12. ipad Ten Frame Tools:
10 Frame Fill
by Classroom
Focused
Software

13. ipad Ten Frame Tools:
Friends of
Ten
by Little
Monkey
Apps

14. 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

19. 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

21. 236 + 86
hundreds tens ones
10 10 10
100 100 1 1 1 1 1
1
10 10
1 1 1 1 1
10 10
1
10 10
10
10

22. 236 + 86
hundreds tens ones
10 10 10
100 100 1 1 1 1 1
10
1 1 1 1 1
10 10
1
10 10
1
10 10
10
10

23. 236 + 86
hundreds tens ones
10 10 10 1
100 100
10 1
10 10
10 10
10
10
10
2
10

24. 236 + 86
hundreds tens ones
10 10 1
100 100
1
100
10 10
10 10
3 10
10
2
10
10
2
10 10

25. Online Base Ten Tools:
NLVM Place Value

26. Online Base Ten Tools:

27. Online Base Ten Tools:
Topmarks Place Value

28. ipad Base Ten Tools:
Base Ten
Number Blocks
by Elementary
Connection

29. ipad Base Ten Tools:
Hands-On Math
Base Ten Blocks
By Ventura
Educational
Systems

30. ipad Base Ten Tools:
Stamp Game
By MontessoriTech

31. 36
36 x 3 X3
30 6 18
90
108
(30 x 3) + (6 x 3)

32. hundred tens ones
s 10 10 10
1 1 1
1 1 1
1 1 1
10 10 10
1 1 1
1 1 1
10 10 10
1 1 1

33. hundred tens ones
s 10 10 10
1 1 1
1 1 1
1 1 1
10 10 10
1 1 1
1 1 1
10 10 10
1 1 1

34. hundred tens ones
s 10 10 10
1 1 1
1 1 1
10
1 1 1
10 10 10
1 1 1
1 1 1
10 10 10
1 1 1

35. hundred tens ones
s
100
10 10 10 1 1 1
1 1 1
10
1
10 10 10
1
10 10 10

36. 53 ÷ 2= ?
tens
2
10 10 10 10 10
2 53
-4
1 1 1
1

37. 10 10 10 10 53 ÷ 2= ?
tens ones
1 1 1 1 1 2
1 1 1
10 1 1
2 53
-4
1 1 1
13

38. 10
10 1 1 1 1
10
10 53 ÷ 2= ?
1 1 1 1
1 1 1 1 tens ones
26 R 1
2 53
1 -4
13
-12
1

40. Conceptua Math Multiply Fraction
Tools
 Multiply to find product of “groups of” items
 Multiply to find product of “part of” a group

41. Conceptua Math Divide Fraction
Tools
 Partitive: equal shares
 Quotative: measurement
 Provides number line and area models

42. Conceptua Math
http://www.conceptuamath.com/fractions.html

43. Questions
?

44. Contact Us:
cassy@singaporemathsource.c
om
lsusi@conceptuamath.com