progressive classroom designs: common core state standards math - the singapore way
TRANSCRIPT
![Page 1: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/1.jpg)
K-5 CommonCoreMathematics openingsession| danbury, connecticut |24 June 2013
Yeap Ban Har [email protected]
Slides are available at
www.banhar.blogspot.com
|meeting instructional demands the singapore way
day one |
![Page 2: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/2.jpg)
introduction |
![Page 3: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/3.jpg)
grad
e fo
ur
Singapore
International
43
4
78
28
94
69
99
90
606
500
adv
ance
d
hig
h
inte
rmed
iate
low
average
grad
e ei
ght
Singapore 48 78 92 99 611
International 3 17 46 75 500
adv
ance
d
hig
h
inte
rmed
iate
low
average
![Page 4: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/4.jpg)
| Hanusek, Jamison, Jamison & Woessmann 2008
![Page 5: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/5.jpg)
| Hanusek, Jamison, Jamison & Woessmann 2008
Score 1960-1970s 1980s 1990s 2000s
500’s Japan Hong Kong Japan Korea
Hong Kong Japan Korea
Singapore
Hong Kong Japan Korea
Singapore
400’s Thailand Philippines Singapore Thailand
Malaysia Thailand
Malaysia Thailand
300’s Indonesia Philippines
Indonesia Philippines
![Page 6: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/6.jpg)
“Upon separation from Malaysia in 1965, Singapore was faced with … high levels of unemployment and poverty. 70% of Singapore’s households lived in badly overcrowded conditions, and a third of its people squatted in slums on the city fringes. Unemployment averaged 14%, GDP per capita was less than $2,700, and half of the population was illiterate.”
singapore math a response to low student achievement and dismal economic performance
![Page 7: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/7.jpg)
focus on conceptual
understanding |
![Page 8: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/8.jpg)
![Page 9: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/9.jpg)
![Page 10: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/10.jpg)
![Page 11: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/11.jpg)
![Page 12: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/12.jpg)
![Page 13: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/13.jpg)
![Page 14: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/14.jpg)
Find the value of 4 + 5 + 6 .
![Page 15: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/15.jpg)
![Page 16: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/16.jpg)
![Page 17: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/17.jpg)
![Page 18: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/18.jpg)
![Page 19: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/19.jpg)
K-5 CommonCoreMathematics counting and cardinal numbers| danbury, connecticut |24 June 2013
Yeap Ban Har [email protected]
Slides are available at
www.banhar.blogspot.com
|meeting instructional demands the singapore way
![Page 20: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/20.jpg)
![Page 21: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/21.jpg)
![Page 22: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/22.jpg)
![Page 23: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/23.jpg)
Counting - adjectives - nouns
![Page 24: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/24.jpg)
![Page 25: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/25.jpg)
![Page 26: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/26.jpg)
What if a child cannot learn the intended materials? assessment they need to be on the runway diagnostic assessment
What is the obstacle? classify rote counting one-to-one correspondence knowing the significance of the last number uttered
![Page 27: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/27.jpg)
![Page 28: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/28.jpg)
![Page 29: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/29.jpg)
![Page 30: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/30.jpg)
![Page 31: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/31.jpg)
![Page 32: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/32.jpg)
![Page 33: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/33.jpg)
![Page 34: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/34.jpg)
![Page 35: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/35.jpg)
K-5 CommonCoreMathematics basic operations| danbury, connecticut |24 June 2013
Yeap Ban Har [email protected]
Slides are available at
www.banhar.blogspot.com
|meeting instructional demands the singapore way
![Page 36: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/36.jpg)
29 + 52 = 70 + 11 = 81
![Page 37: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/37.jpg)
![Page 38: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/38.jpg)
![Page 39: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/39.jpg)
300 – 79 = 221 3 0 0 - 7 9
2 9 10
2 2 1
![Page 40: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/40.jpg)
![Page 41: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/41.jpg)
the mind’s ability to see
|visualization
![Page 42: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/42.jpg)
flexibility with numbers and mental math
|number sense
![Page 43: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/43.jpg)
seeing patterns and connections
|generalization
![Page 44: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/44.jpg)
2 x 6
![Page 45: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/45.jpg)
12 + 6
![Page 46: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/46.jpg)
12+ 12
![Page 47: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/47.jpg)
![Page 48: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/48.jpg)
12 + 30
![Page 49: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/49.jpg)
60
![Page 50: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/50.jpg)
60 – 6
![Page 51: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/51.jpg)
![Page 52: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/52.jpg)
51 ÷ 3
![Page 53: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/53.jpg)
51 ÷ 3
30 21
= 17
![Page 54: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/54.jpg)
3|51 30
21 21
0
1 7
![Page 55: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/55.jpg)
![Page 56: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/56.jpg)
![Page 57: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/57.jpg)
![Page 58: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/58.jpg)
5088 ÷ 4
4000 1000 88 1000 250 22
= 1272
![Page 59: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/59.jpg)
![Page 60: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/60.jpg)
Conceptual or Relational Understanding refers to knowing how ideas are related … how number
bonds are connected to dividing
Skemp – instrumental and relational understanding
![Page 61: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/61.jpg)
Mathematics is “an excellent vehicle for the development and improvement of a
person’s intellectual competence”.
|Ministry of Education, Singapore (2006)
thinkingschool learningnations
![Page 62: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/62.jpg)
K-5 CommonCoreMathematics bar model method| danbury, connecticut |24 June 2013
Yeap Ban Har [email protected]
Slides are available at
www.banhar.blogspot.com
|meeting instructional demands the singapore way
![Page 63: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/63.jpg)
![Page 64: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/64.jpg)
![Page 65: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/65.jpg)
outcomes |
![Page 66: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/66.jpg)
Singapore
Malaysia
Thailand
Indonesia
International
48
2
2
0
3
78
12
8
2
17
92
36
26
15
46
99
65
55
43
75
611
440
427
386
500
adv
ance
d
hig
h
inte
rmed
iate
low
aver
age
grad
e ei
ght
mat
hem
atic
s
![Page 67: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/67.jpg)
grad
e fo
ur
mat
hem
atic
s
Singapore
South Korea
Hong Kong
Taiwan
Japan
Northern Ireland
Belgium
Finland
England
Russia
International
43
39
37
34
30
24
10
12
18
13
4
78
80
80
74
70
59
50
49
49
47
28
94
97
96
93
93
86
89
85
78
82
69
99
100
99
99
99
96
99
98
93
97
90
606
605
602
591
585
562
549
545
542
542
500
adv
ance
d
hig
h
inte
rmed
iate
low
average
![Page 68: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/68.jpg)
South Korea
Singapore
Taiwan
Hong Kong
Japan
Russia
Israel
Finland
United States
England
International
47
48
49
34
27
14
12
4
7
8
3
77
78
73
71
61
47
40
30
30
32
17
93
92
88
89
87
78
68
73
68
65
46
99
99
96
97
97
95
87
96
92
88
75
613
611
609
586
570
539
516
514
509
507
500
adv
ance
d
hig
h
inte
rmed
iate
low
average
grad
e ei
ght
mat
hem
atic
s
![Page 69: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/69.jpg)
Country
GDP per capita in current USD
2012
Singapore 60,400
Malaysia 16,900
Thailand 10,100
Philippines 4,400
“Upon separation from Malaysia in 1965, Singapore was faced with … high levels of unemployment and poverty. 70% of Singapore’s households lived in badly overcrowded conditions, and a third of its people squatted in slums on the city fringes. Unemployment averaged 14%, GDP per capita was less than $2,700, and half of the population was illiterate. “
![Page 70: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/70.jpg)
In the 1970’s, Singapore needed a way to help students, most of whom were not performing well in mathematics, learn mathematics. CPA Approach based on Bruner’s work and a host of other learning theories were used to help students learn. Today, many people refer to this approach as Singapore Math.
![Page 71: Progressive Classroom Designs: Common Core State Standards Math - The Singapore Way](https://reader033.vdocuments.us/reader033/viewer/2022052905/55889cc1d8b42ade548b461c/html5/thumbnails/71.jpg)
| Ministry of Education, Singapore (1991, 2000, 2006, 2012)