map114 differentiated instruction in primary mathematics
DESCRIPTION
This course incorporates teaching of ratio. Also enrichment and remediation..TRANSCRIPT
Differentiated Instruction incorporating ratio, whole numbers and fractions
Course Code: MAP114, MAP115 and MAP116
Yeap Ban Har
Marshall Cavendish Institute
Slides are available at www.banhar.blogspot.com
introduction |
| Hanusek, Jamison, Jamison & Woessmann 2008
| 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
opening examples |
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 applied. Today, many people refer to
this approach as Singapore Math.
29 + 52 =
29 + 52 =
1 51
29 + 52 = 81
1 51
29 + 52 = 30 + 51 = 81
29 + 52 = 81
differentiation |
“The idea of differentiating instruction is an approach to
teaching that advocates active planning for and
attention to student differences in classrooms,
in the context of high quality curriculums.”
| www.caroltomlinson.com
Goh’s Report (1978) recommended a
differentiated education system for
Singapore.
Grade 1 to 4
Mathematics
Foundation
Mathematics
Grade 1
Regular Program
Learning Support
Goh’s Report (1978) recommended a
differentiated education system for
Singapore.
We want to make our education system even
more student-centric, and sharpen our focus
in holistic education – centred on values and
character development.
| Heng 2011
Differentiated instruction is reflected in the Professional
Learning Communities (PLC) four critical
questions
| DuFour 2004
Educational Leadership
May 2004 | Volume 61 | Number 8
Schools as Learning Communities
what is it that the teacher wants
students to learn
how does a teacher know when
students have learnt it
what if students do not learn it
what if they already learnt it
model of differentiation |
What to Differentiate
• Content
• Process
• Product
the content of instruction
Grade 1 to 4
Mathematics
Foundation
Mathematics
Example
Singapore Grade 5 and 6 Curriculum is
an example of content differentiation.
the processes and techniques used to help make
sense of a given topic
the products produced by students that demonstrate
their learning
Levels of Differentiation
• Student Level
• Class Level
differentiation for the entire class
differentiation for groups
within a class
Differentiation for Advanced Learners
• Acceleration model
• Enrichment model
acceleration
enrichment
teaching of ratio |
word problem|
The number of boys to the number of
girls in a group was in the ratio 2 : 3.
The number of boys to the number of
girls in a group was in the ratio 2 : 3.
After ¼ of the boys and 69 girls left
the group, there were 51 more girls
than boys in the group.
applying concepts|
practice|
concept learning |
authentic stimulus|
Source: http://www.deliciousasianfood.com/2007/05/17/pineapple-tart-pastry/
This is my mother-in-law’s recipe for Pineapple Tart Pastry.
Ingredients to make the pastry for the tarts
1 lb. flour
10 oz. butter
3 egg yolks
some cold water
4 teaspoon castor sugar
Method
Sift the flour and add in the castor sugar.
