This seminar for about 400 teachers was held at Elk River High School. It is based on MAP101 Fundamentals of Singapore Math. A similar session was held in Chicago the next day. This is part of the Experiencing Singapore Math Program designed for administrators and teachers who are new to Singapore Math.
1. Experiencing
Singapore Math
Experiencing Singapore Math
July 23, 2012 Minneapolis, MN
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
2. Experiencing
Singapore Math
Land
270 sq miles
People
introduction 4.7 million
GDP per capita
1965 USD510
2010 USD43,300
in current USD
Junyuan Secondary
School, Singapore
4. General Overview of Singapore and
its Education System
Students
500 000
Teachers
30 000
Principals & Vice-Principals
900
Schools
173 Primary Schools (Primary 1 – 6)
155 Secondary Schools (Secondary 1 – 4)
13 Junior Colleges (JC 1 – 2) Canossa Convent Primary
15 Mixed-Level Schools School, Singapore
The data refers to 1-12 school system. Pre-school is not part of the formal education
system. The data excludes post-secondary education system which includes institutes
of technical education, polytechnics and universities.
5. High achievement was not a given. In
1960, among 30 615 candidates who
sat for the first Primary School Leaving
Examination, 45% of the candidates
passed.
Keon Ming Public School, Singapore
6. Experiencing
Singapore Math
All major international tests (literacy, science and mathematics) between 1964
and 2003 were placed on a common scale. Selected countries shown in the table.
Score 1960-1970s 1980s 1990s 2000s
500 Japan Japan Japan Japan
Korea Korea Korea
Hong Kong Singapore Hong Kong
Hong Kong Singapore
400 Thailand Singapore Malaysia Malaysia
Thailand Thailand Thailand
The Philippines
300 Indonesia Indonesia
The Philippines The Philippines
Reference: E. Hanusek, D. Jamison, E. Jamison & L. Woessmann (2008)
7.
8. "Solving problems is central to mathematical proficiency
and is articulated to a varying degree across the
international curricula. Singapore applies the highest
degree of specificity to it, placing it at the centre of all
mathematical learning.“
Review of the National Curriculum in England Research Report
UK Department for Education
9. Experiencing
Singapore Math
1982
Introduction of Singapore mathematics
textbooks as they are known today.
Mathematics is “an excellent
vehicle for the development
1992 and improvement of a person’s
Introduction of Problem- intellectual competence”.
Solving Curriculum Ministry of Education Singapore 2006
1997 2001
Thinking Schools Introduction of textbooks published by
Learning Nation private publishers and approved by
Ministry of Education.
2007
New editions of textbooks are
published with the introduction of the
revised curriculum.
2013
Fourth version of the problem-solving
curriculum will be implemented.
Page 1
11. Experiencing
Singapore Math
on Visualization
Fundamentals of Singapore Math
Focus
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
31. Experiencing
Singapore Math
King Solomon Academy, London
32. Singapore Math
Experiencing
King Solomon Academy, London
33. Experiencing
Singapore Math
Globe Academy, London
34. Experiencing
Singapore Math
Globe Academy, London
35. Experiencing
Singapore Math
Globe Academy, London
36.
37. Experiencing
Singapore Math
on Patterns
Fundamentals of Singapore Math
Focus
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
58. Experiencing
Singapore Math
Da Qiao Primary School, Singapore
59. Emphasis on Generalization
My Pals Are Here! Mathematics (Second Edition)
Explicit instruction to
engage in higher-order
competencies such as to
look for a pattern.
60. Emphasis on Generalization
My Pals Are Here! Mathematics (Second Edition)
There are
sections
devoted to
higher-order
thinking which
includes pattern
observation.
64. Experiencing
Singapore Math
Junyuan Secondary School, Singapore
Mathematical
patterns and Practices
“Mathematically
generalization
proficient students
look closely to discern
a pattern or structure.”
65. Experiencing
Singapore Math
Fundamentals of Singapore Math
Challenging Word
Problems using Bar
Models
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
66. 2 units = 290 g – 110 g = 180 g
1 units = 180 g 2 = 90 g
110 g
3 x 90 g = 270 g
Bella puts 270 g sugar on the dish.
? ?
70. Experiencing
Singapore Math
Math in Focus
Grade 2
Escuela de Guetamala, Chile
71.
72. One day, 543 cars and 274 buses pass through a toll booth.
How many cars and buses pass through the toll booth?
Math in Focus Grade 2
cars 543
buses 274
543 + 274 =
cars buses
543 274
76. 2x + x = 4686
3x = 4686
Students in Grade 7 may use algebra to deal with such situations. Bar
model is actual linear equations in pictorial form.
77. Lesson June 18, 2012
Jack $3
Jack
Kyla $2
Kyla
gave
more
had
than
78. Lesson June 18, 2012
Open Lesson at Hawaii, USA
79.
80.
81.
82. Lesson June 18, 2012
What if Kyla
Story 1 had this
Jack had $3. amount
before?
Jack gave Kyla $2
more.
Jack Kyla
Before $3 $1 $5 $19
After $1 $3 $7 ?
83.
84. Lesson June 18, 2012
Story 2
Kyla had $3 more than Jack. Who had
more money
Jack $2 afterwards?
How much
Kyla $3 more?
Jack gave Kyla $2.
85. Kyla had $3 more than Jack.
Jack gave Kyla $2.
How much more did Kyla have than Jack?
Students in Grade 6 may use algebra to deal with Story 2.
Kyla had $(x + 3)
Jack had $x
Then, Jack had $(x – 2)
And Kyla had $(x + 5)
Kyla had $(x + 5) – $(x – 2) or $7 more than Jack.
86. Lesson July 23, 2012
In the end ... At first …
Alice 20
Betty 10
Charmaine
Dolly
88. Experiencing
Singapore Math
Junyuan Secondary School, Singapore
Concrete to
visualization Visual
and managing
J Bruner
Human
information Intelligences
H Gardner
89.
90. can learn.
Our students must
too.
Google learns from typos and spelling mistakes we all make when searching to help give you
quicker and more accurate search results. So if you type ‘grizzly pears’, we can guess that you
probably meant ‘grizzly bears’.
Goggle does not have a degree in English. We can do this because over the years we’ve
studied how people search and learned what the most common errors are. So it’s good to
know that all those little mistakes aren’t made in vain.
91. Experiencing
Singapore Math
Experiencing Singapore Math
July 23, 2012 Minnesota
Yeap Ban Har
Marshall Cavendish Institute
Singapore
yeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com