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Math Leadership Symposium
  Alabama Math, Science and Technology Initiative
        Alabama Department of Education


        Education Transformation
Some Key Initiatives Related to Mathematics Education
                      in Singapore


                  Yeap Ban Har
            Marshall Cavendish Institute
                     Singapore

              yeapbanhar@gmail.com

                  Slides are available at
             www.banhar.blogspot.com

                                            Birmingham Museum of Art
Singapore
  Education Transformation

                                       Land
                                         270 sq miles

                                       People
                                         4.7 million

                                       GDP per capita
                                         1965 USD510

                                         2010 USD43,300
                                                 in current USD
Junyuan Secondary School, Singapore
Singapore
Education Transformation
All international tests (language, 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)
Singapore
Education Transformation


 since 1992 …




    problem-solving
        curriculum
                           Ministry of Education Singapore, 2006
Singapore
Education Transformation


 since 1997 …

       thinking schools
           learning nation




                             Wellington Primary School, Singapore
Mathematics is “an excellent vehicle for
         the development and improvement of a
           person’s intellectual competence”.
                                      Ministry of Education (Singapore) 2006
Junyuan Secondary School, Singapore
Singapore
Education Transformation


 since 2011…

   student-centric
       values-driven




                           Edgewood Elementary School, Scarsdale
Singapore
Education Transformation


 national test …

       problem solving
           & thinking
Singapore
Education Transformation




     3 units = 18
     1 units = 18   3=6
     6 x 8 = 48
     There were 48 coins at first.
Singapore
Education Transformation
Singapore
Education Transformation
Singapore
Education Transformation
                           ABCD is a square.
                           So, AB = BC
                           MN = AB and PQ = BC
                           So, MN = PQ

                           It is given that PQ = MQ and NQ
                           So, MNQ is equilateral triangle.

                           Angle MQN = 60o
                           Angle PQN = 30o

                           PQN is isosceles triangle.
                           Angle QPN = 75o
                           Angle MPN = 150o
Singapore
Education Transformation
  2010 Grade 6 National Examination in Mathematics

                    National
                    Average
    Quality Pass     43.3%
       Pass          84.0%




                                           Canossa Convent Primary School, Singapore
Singapore
Education Transformation
                   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.
Singapore
Education Transformation
Grade 12 or
Singapore                                                                       Polytechnic
                                                                                 Diploma
Education Transformation
                                                                                Diploma in
                                                                                Education
           Bachelor
Bachelor    Degree
 Degree       with
            Diploma
               in
 PGDE
           Education




                               Keys Grade School, Manila, The Philippines       x
                            Each teacher receives about 120
                              hours of specialist training in
                            teaching mathematics as part of
                             pre-service teacher education.

                       Pre-servive teacher education at National Institute of
                       Education, Singapore
Singapore
Education Transformation




                                                   North Vista Primary School, Singapore




      Teacher Professional Development for Early
                Childhood Teachers in Singapore



              Da Qiao Primary School, Singapore
Singapore
Education Transformation
                  Curriculum That
                  Focuses on 21st
                  Century Skills
                                   Archipelschool De Tweemaster – Kameleon,
                                                           The Netherlands




King Solomon Academy,
London
                               High School Attached to Tsukuba University,
                                                                   Japan
Singapore
Education Transformation
    National
    Examination

                                            Bukit View Primary School, Singapore




              Pathlight School, Singapore
Textbooks &
         Professional
         Development
                                                                Math in Focus




Keys Grade School, The Philippines

                                     Lesson Study at Da Qiao Primary School,
                                                                  Singapore
In-service Professional Development in The Philippines


                                                                Yeap Ban Har
                                                       Marshall Cavendish Institute
In-service Professional Development in Chile                    Singapore

                                                          yeapbanhar@gmail.com

                                                               Slides are available at
                                                        www.banhar.blogspot.com
Math Leadership Symposium
Alabama Math, Science and Technology Initiative
      Alabama Department of Education


 Foundations of Singapore Math

               Yeap Ban Har
         Marshall Cavendish Institute
                  Singapore

           yeapbanhar@gmail.com

               Slides are available at
          www.banhar.blogspot.com




                                         Birmingham Museum of Art
110 g




        290 g
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.

   ?    ?
emphasis
visualization
Experiencing
Singapore Math




                 Escuela de Guetamala, Chile
Experiencing
Singapore Math




                 x + 2x = 12
C H E R Y L
C H E R Y L
1
C H E R Y L
  2
C H E R Y L
    3
C H E R Y L
      4
C H E R Y L
        5
C H E R Y L
          6
C H E R Y L
        7
C H E R Y L
      8
C H E R Y L
    9
C H E R Y L
C H E R Y L
C H E R Y L
C H E R Y L
C H E R Y L
C H E R Y L
      Which letter is 99?
D A V I   D
Emphasis on Generalization
                                                                            Primary Mathematics (Third Edition)


                                                                Looking for patterns and making
                                                                generalization is also emphasized.

                                                                This emphasizes the relatedness
                                                                between the 2, 4 and 8 times
                                                                table.




                                                      This emphasizes a general idea
                                                      – the use of doubling to multiply.

Reference: Yeap (2011) International Conference on School Mathematics Textbooks held in Shanghai, China
Emphasis on Generalization
                     My Pals Are Here! Mathematics (Second Edition)




                  Explicit request to engage
                               in higher-order
                   competencies such as to
                            look for a pattern.
Emphasis on Generalization
                    My Pals Are Here! Mathematics (Second Edition)




                                            There are
                                       sections of the
                                          later series
                                           devoted to
                                         higher-order
emphasis
generalization
Math Leadership Symposium
Alabama Math, Science and Technology Initiative
      Alabama Department of Education


   Experiencing Singapore Math

               Yeap Ban Har
         Marshall Cavendish Institute
                  Singapore

           yeapbanhar@gmail.com

               Slides are available at
          www.banhar.blogspot.com




                                         Birmingham Museum of Art
Singapore Math
Learn New Concept Through
      Problem Solving
Singapore Math
Drill-and-Practice Through
      Problem Solving
Singapore Math
Applying Knowledge in
   Problem Solving
emphasis
   concrete
pictorial
   abstract
emphasis
  spiral
Experiencing
Singapore Math
Experiencing
Singapore Math

                 Math in Focus
Experiencing
Singapore Math




                 Math in Focus
Experiencing
Singapore Math




                 Math in Focus
Experiencing
Singapore Math


                 Math in Focus
Experiencing
Singapore Math

                 Math in Focus
Experiencing
Singapore Math
                 Math in Focus
Experiencing
Singapore Math

                 Math in Focus
Experiencing
Singapore Math

                 Math in Focus
Experiencing
Singapore Math
                 Math in Focus
Experiencing
Singapore Math

                 Math in Focus
Experiencing
Singapore Math

                 Math in Focus
Experiencing
Singapore Math




                 Da Qiao Primary School, Singapore
emphasis
  variation
Jay has 12 cookies.
Kimi has 9 cookies.
How many cookies do they have altogether?

Marcus has 12 cookies.
He has 9 cookies fewer than Natalie.
How many cookies does Natalie have?

Sam had some cookies.
He gave 9 cookies to Terrie.
Then he had 12 cookies left.
How many cookies Sam had at first?
tens   ones
Keys Grade School, The Philippines
Fuchun Primary School, Singapore
                    King Solomon Academy, London
                                                             Yeap Ban Har
                                                    Marshall Cavendish Institute
                                                             Singapore

                                                       yeapbanhar@gmail.com

                                                            Slides are available at
                                                     www.banhar.blogspot.com

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