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Differentiated Instruction Using Singapore Math
Yeap Ban HarMarshall Cavendish Institute
Singapore
Slides are available atwww.banhar.blogspot.com
www.facebook.com/MCISingapore
One Problem, Every Student: Differentiated Instruction Using Singapore Math
(Grades 2 – 7)
A workshop presented by Dr. Yeap Ban Har, Principal of Marshall Cavendish Institute. Learn to differentiate a task to cater to a mixed-ability class. Find out how Singapore Math is designed to enable all learners to learn mathematics well. Understand how Singapore Math is designed with adequate scaffold to enable struggling learners to learn the subject well. At the same time, learn how to extend a task to engage advanced learners while keeping the lesson accessible to the rest of the class.
Room 115-B (Convention Center)
introduction
Land 270 sq miles
People 4.7 million
GDP per capita 1965 USD510 2010 USD43,300
in current USD
Junyuan Secondary School, Singapore
introduction
Expe
rienc
ing
Sing
apor
e M
ath
Score 1960-1970s 1980s 1990s 2000s
500 Japan JapanKorea
Hong Kong
JapanKorea
SingaporeHong Kong
JapanKorea
Hong KongSingapore
400 Thailand SingaporeThailand
The Philippines
MalaysiaThailand
MalaysiaThailand
300 IndonesiaThe Philippines
IndonesiaThe Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
All major international tests (literacy, science and mathematics) between 1964 and 2003 were placed on a common scale. Selected countries shown in the table.
This presentation focuses on one of the main features of Singapore Math which is based on the philosophy of Teach Less, Learn More and Nurturing Every Child.
Junyuan Secondary School, Singapore
singapore math
One Problem, Every Student: Differentiated Instruction Using Singapore Math
A workshop presented by Dr. Yeap Ban Har, Principal of Marshall Cavendish Institute. Learn to differentiate a task to cater to a mixed-ability class. Find out how Singapore
Math is designed to enable all learners to learn mathematics well. Understand how Singapore Math is designed with adequate scaffold to enable struggling learners to learn the subject well. At the same time, learn how to extend a task to engage advanced learners while keeping the lesson accessible to the rest of the class.
One Problem, Every Student: Differentiated Instruction Using Singapore Math
A workshop presented by Dr. Yeap Ban Har, Principal of Marshall Cavendish Institute. Learn to differentiate a task to cater to a mixed-ability class. Find out how Singapore
Math is designed to enable all learners to learn mathematics well.
Understand how Singapore Math is designed with adequate scaffold to enable struggling learners to learn the subject well. At the same time, learn how to extend a task to engage advanced learners while keeping the lesson accessible to the rest of the class.
oneproblemeverystude
nt
example
Find the value of 68 – 6 .
Addition within 100
Find the value of 85 – 60 .
Find the value of 65 – 23 .
Find the value of 54 – 9 .
Singapore Math is based on the idea of Spiral Curriculum as explained by Jerome Bruner.
“A curriculum as it develops should revisit this basic ideas repeatedly, building upon them until the student has grasped the full formal apparatus that goes with them.”
Find the value of 42 – 17 .
Example 1 Grade 1 Addition
Find the value of 42 – 17 .
Example 1 Grade 1 Addition
Find the value of 42 – 17 .
Example 1 Grade 1 Addition
Find the value of 42 – 17 .
Example 1 Grade 1 Addition
Find the value of 32 – 14 .
Example 1 Grade 1 Addition
Anchor Green Primary School, Singapore
Find the value of 32 – 14 .
Example 1 Grade 1 Addition
Anchor Green Primary School, Singapore
Intellectual activity is anywhere and everywhere, whether at the frontier of knowledge or in a third-grade classroom
Jerome Bruner
Mathematics is an excellent vehicle for the development and improvement of a person’s intellectual competencies …
Singapore Ministry of Education
CPA Approach is a main feature of Singapore Math. It is based on Jerome Bruner’s theory of representation.
Escuela Guetamala, Vina del Mar, Chile
example
Example 2 Grade 4 Mixed Numbers
solving one problem
guided consolidation
independent work
60 m
inut
es
Recommended Lesson Structure
example
Calvin spent a third of his allowance on a gift and a fourth of the remainder to buy a book. He then had $36 left.
What was Calvin’s allowance before he bought the gift and the book?
Calvin spent a third of his allowance on a gift and a half of the remainder to buy a book. He then had $36 left.
What was Calvin’s allowance before he bought the gift and the book?
Calvin spent a third of his allowance on a gift and a fifth of the remainder to buy a book. He then had $36 left.
What was Calvin’s allowance before he bought the gift and the book?
8 units = $3615 units = ?
4 units = $365 units = $45
2 thirds $451 third $45 2
Method 34 fifths of the remainder = $36The remainder was $36 4 x 5 = $45
Method 32 thirds of his allowance = $45His allowance was $45 2 x 3 = $67.50 .
One Problem, Every Student: Differentiated Instruction Using Singapore Math
A workshop presented by Dr. Yeap Ban Har, Principal of Marshall Cavendish Institute. Learn to differentiate a task to cater to a mixed-ability class. Find out how Singapore
Math is designed to enable all learners to learn mathematics well.
Understand how Singapore Math is designed with adequate scaffold to enable struggling learners to learn the subject
well. At the same time, learn how to extend a task to engage advanced learners while keeping the lesson accessible to the rest of the class.
Math Interventionat Middle School
Yeap Ban Har
Friday 2:30 – 3:30Room 118B Convention Center
Slides are available atwww.banhar.blogspot.com
www.facebook.com/MCISingapore