mnp cctca calgary 2018 - maths · 2018. 2. 16. · calgary february 2018 experience the singapore...
TRANSCRIPT
![Page 1: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/1.jpg)
![Page 2: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/2.jpg)
mathsnoproblem.com
Calgary February 2018Experience the Singapore Method of Teaching Math
![Page 3: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/3.jpg)
mathsnoproblem.com
Singapore has not always done well in education.
Since the 1990’s they have been at the top of International Education Studies in most subjects including mathematics.
Why Singapore?
![Page 4: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/4.jpg)
mathsnoproblem.com
With an economy completely reliant upon the ability of its human resources, Singapore overhauled its Maths teaching system, drawing from best practice elsewhere in the world.
The UK’s Cockroft report and a similar study in the US had a fundamental influence. Both studies concluded that:
1. Problem solving is at the heart of Mathematics and should be the focus of what is taught in schools.
2. Basic skills in Mathematics should be defined to encompass more than computational facility.
Catalyst for change
![Page 5: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/5.jpg)
mathsnoproblem.com
0
25
50
75
100
Advanced Learners High Learners Intermediate Learners
70
25
3
93
80
50
Singapore Alberta (2011)
TIMSS 2015 Grade 4
![Page 6: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/6.jpg)
mathsnoproblem.com
0
25
50
75
100
Advanced Learners High Learners Intermediate Learners
69
24
3
94
81
54
Singapore Alberta (2011)
TIMSS 2015 Grade 8
![Page 7: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/7.jpg)
mathsnoproblem.com
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
Singapore Alberta (2011)
TIMSS 2015 Grade 4
![Page 8: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/8.jpg)
mathsnoproblem.com
The Anchor Taskteaching through a problem
![Page 9: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/9.jpg)
mathsnoproblem.com
Make some rectangles
![Page 10: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/10.jpg)
mathsnoproblem.com
carefully selected examplesappropriate learning experiences in the right order
![Page 11: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/11.jpg)
mathsnoproblem.com
How many flowers are there are in total?
![Page 12: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/12.jpg)
mathsnoproblem.com
Guided Practice
![Page 13: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/13.jpg)
mathsnoproblem.com
Use the digits 1 - 9
+
![Page 14: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/14.jpg)
mathsnoproblem.com
Understandingconventional, procedural and relational understanding
![Page 15: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/15.jpg)
mathsnoproblem.com
Sharing a cake
Let us share a cake equally among some friends.
![Page 16: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/16.jpg)
mathsnoproblem.com
Sharing a cake
How much cake does everyone get if we sharethree-quarters of a cake amongst 3 friends?
![Page 17: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/17.jpg)
mathsnoproblem.com
Sharing a cake
How much cake does everyone get if we sharethree-quarters of a cake amongst 2 friends?
![Page 18: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/18.jpg)
mathsnoproblem.com
Representationsspiral approach and careful scaffolding are used to develop
strong foundations
![Page 19: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/19.jpg)
mathsnoproblem.com
![Page 20: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/20.jpg)
mathsnoproblem.com
![Page 21: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/21.jpg)
mathsnoproblem.com
Count.2
cups
pastries
children
eggs
slices of bread
apples
boys
![Page 22: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/22.jpg)
mathsnoproblem.com
5
3 2
![Page 23: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/23.jpg)
mathsnoproblem.com
Addition and Subtraction Page 81
Let’s Learn1
2
Use to show the number of pencils.
There are 8 pencils altogether.
5 + 3 = 8 or 3 + 5 = 8
Number of red pencils
Number of blue pencils
Total number of pencils
5 3
?
15 23
?
Draw bars to show each number.
How many pencils do they have altogether?
15 + 23 = 38
They have 38 pencils altogether.
has 15 pencils.
has 23 pencils.
1
T
2
3
+
O
3
8
5
There is not enough space to use !
![Page 24: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/24.jpg)
mathsnoproblem.com
Addition and Subtraction Page 81
Let’s Learn1
2
Use to show the number of pencils.
There are 8 pencils altogether.
5 + 3 = 8 or 3 + 5 = 8
Number of red pencils
Number of blue pencils
Total number of pencils
5 3
?
15 23
?
Draw bars to show each number.
How many pencils do they have altogether?
15 + 23 = 38
They have 38 pencils altogether.
has 15 pencils.
has 23 pencils.
1
T
2
3
+
O
3
8
5
There is not enough space to use !
![Page 25: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/25.jpg)
mathsnoproblem.com
![Page 26: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/26.jpg)
mathsnoproblem.com
![Page 27: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/27.jpg)
mathsnoproblem.com
There were 88 children at a school sports day. Boys and girls were asked to pair up for a three legged race. One third of the boys paired up with two fifths of the girls. The remainder of the children did not participate in the three legged race.
How many boys were at the school sports day?
How many girls participated in the three legged race?
![Page 28: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/28.jpg)
mathsnoproblem.com
The Wise Guysnotable learning theories applied in the teaching of mathematics
![Page 29: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/29.jpg)
mathsnoproblem.commathsnoproblem.com
Enactive / Iconic / Symbolic
• Enactive ( concrete representations )
• Iconic ( pictorial representations )
• Symbolic ( abstract representations )
Jerome Bruner
48m ?
80m
8 9
7
7 4
2
2 3
6
+
11
![Page 30: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/30.jpg)
mathsnoproblem.com
assimilation and accommodation
Jean Piaget
![Page 31: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/31.jpg)
mathsnoproblem.commathsnoproblem.com
Play / Structure / Practice
• Play ( informal )
• Structured learning ( formal )
• Practice
Zoltan Dienes
![Page 32: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/32.jpg)
mathsnoproblem.com
mathematical and perceptual variation
Zoltan Dienes
![Page 33: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/33.jpg)
mathsnoproblem.com
relational, procedural and conventional understanding
Richard Skemp
They don’t all look the same.
These are not quarters.
I disagree, I think these are quarters.
![Page 34: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/34.jpg)
mathsnoproblem.com
1. Visualisation
2. Generalisation
3. Number Sense
4. Metacognition
5. Communication
Core competenciesThese are the 5 attributes that high performing pupils appear to posses
![Page 35: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/35.jpg)
mathsnoproblem.com
Calgary February 2018Experience the Singapore Method of Teaching Math
![Page 36: MNP CCTCA Calgary 2018 - Maths · 2018. 2. 16. · Calgary February 2018 Experience the Singapore Method of Teaching Math. mathsnoproblem.com Singapore has not always done well in](https://reader035.vdocuments.us/reader035/viewer/2022071104/5fde1bbaaca105702d31fc15/html5/thumbnails/36.jpg)