SlideShare a Scribd company logo
Experiencing
                                       Singapore Math
Experiencing Singapore Math
      Newark  East Brunswick

              Yeap Ban Har
        Marshall Cavendish Institute
                 Singapore

          yeapbanhar@gmail.com

             Slides are available at
         www.banhar.blogspot.com
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
General Overview of Singapore and
      its Education System
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 School,
     15 Mixed-Level Schools                                                  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.
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
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)
"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
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.
     Page 1
Experiencing
Page 4




         Singapore Math
Experiencing
                                  Singapore Math
Experiencing Singapore Math
         Spiral Approach

         Yeap Ban Har
   Marshall Cavendish Institute
            Singapore

     yeapbanhar@gmail.com

        Slides are available at
    www.banhar.blogspot.com
543 + 274 = 
543 + 274 = 
543 + 274 = 
543 + 274 = 
543 + 274 = 
543 + 274 = 
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
emphasis
  spiral
Experiencing
Singapore Math
Experiencing
                                  Singapore Math
Experiencing Singapore Math
         Visual Approach

         Yeap Ban Har
   Marshall Cavendish Institute
            Singapore

     yeapbanhar@gmail.com

        Slides are available at
    www.banhar.blogspot.com
110 g




        290 g   Page 2
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.

   ?    ?
Experiencing
                              Singapore Math
Escuela de Guetamala, Chile
x + 2x = 12




                 Experiencing
              Singapore Math
Experiencing
                  Singapore Math
King Solomon Academy, Londo
Edgewood Elementary School, New York
Globe Academy, London




                           Experiencing
                        Singapore Math
Experiencing
                                     Singapore Math
3x – 2 = 8




             Globe Academy, London
Experiencing
                                                                   Singapore Math
            Experiencing Singapore Math
Initial Concrete Experiences & Building Conceptual Understanding

                        Yeap Ban Har
                  Marshall Cavendish Institute
                           Singapore

                    yeapbanhar@gmail.com

                       Slides are available at
                  www.banhar.blogspot.com
Experiencing
                                               Singapore Math
                              Relational
                              Understanding
                                 R Skemp

                what & how    Concrete
                              Introduction
                                 J Bruner


Junyuan Secondary School,
Singapore



                                             Page 08
                                             Page 13
Experiencing
                                    Singapore Math
Share 3 fourths equally among 3.




3 fourths 3 = 1 fourth




                                   Page 5
Experiencing
                                                               Singapore Math
Share 3 fourths equally between 2.




 3 fourths 2
= 6 eighths 2               Share 3 fourths equally among 4.
= 3 eighths



                             3 fourths 4
                            = 12 sixteenths 4
                            = 3 sixteenths
Experiencing
                                                 Singapore Math
12 cookies   4

12 pieces    4

12 sixteenths    4

12 tenths    4       12 cookies    4 cookies

12 x   4             12 pieces    4 pieces

                     12 x   4x




                                               Page 13
Experiencing
Singapore Math
Experiencing
Singapore Math
Experiencing
Singapore Math
Experiencing
Singapore Math
Experiencing
Singapore Math
Experiencing
                                                       Singapore Math
Junyuan Secondary School, Singapore

                                       Concrete to
                                       Visual
                                          J Bruner

              visualization            Variation
                                          Z Dienes
                                       Human
                                       Intelligences
                                          H Gardner



             Page 11
Math in Focus




                   Experiencing
                Singapore Math
Experiencing
Math in Focus




                Singapore Math
Math in Focus




                   Experiencing
                Singapore Math
Experiencing
Math in Focus




                Singapore Math
Math in Focus




              Experiencing
           Singapore Math
Experiencing
                Singapore Math
Math in Focus
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
Experiencing
                                    Singapore Math
Da Qiao Primary School, Singapore
Experiencing
                                                                              Singapore Math
                                Primary Mathematics (Third Edition)




See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills in
Singapore Primary School Mathematics Textbooks. Paper presented at PME-35
Angkara, Turkey.
See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks in
Singapore on Higher-Order Thinking Skills. Paper presented at International
Conference on School Mathematics Textbooks Shanghai, China.
Experiencing
                                Singapore Math
Visuals are used to
teach concepts –
distributive property of
multiplication – without
using formal terms.




     Primary Mathematics (Third Edition)

More Related Content

Viewers also liked

Subtraction Math Facts
Subtraction Math FactsSubtraction Math Facts
Subtraction Math Factsguest811abe
 
September 1, 2011 Welcome Back
September 1, 2011 Welcome BackSeptember 1, 2011 Welcome Back
September 1, 2011 Welcome Back
Kimberly Beane
 
2013 Maths Info Night
2013 Maths Info Night2013 Maths Info Night
2013 Maths Info Night
bazntam
 
Kindergarten Singapore Math Training: Jan 2012
Kindergarten Singapore Math Training: Jan 2012Kindergarten Singapore Math Training: Jan 2012
Kindergarten Singapore Math Training: Jan 2012
Kimberly Beane
 
Singapore Math Overivew Training I for Principals
Singapore Math Overivew Training I for PrincipalsSingapore Math Overivew Training I for Principals
Singapore Math Overivew Training I for Principals
Kimberly Beane
 
Tuscan/Jefferson Math Parent Nights Nov. 2013
Tuscan/Jefferson Math Parent Nights Nov. 2013Tuscan/Jefferson Math Parent Nights Nov. 2013
Tuscan/Jefferson Math Parent Nights Nov. 2013
Kimberly Beane
 

Viewers also liked (6)

Subtraction Math Facts
Subtraction Math FactsSubtraction Math Facts
Subtraction Math Facts
 
September 1, 2011 Welcome Back
September 1, 2011 Welcome BackSeptember 1, 2011 Welcome Back
September 1, 2011 Welcome Back
 
2013 Maths Info Night
2013 Maths Info Night2013 Maths Info Night
2013 Maths Info Night
 
Kindergarten Singapore Math Training: Jan 2012
Kindergarten Singapore Math Training: Jan 2012Kindergarten Singapore Math Training: Jan 2012
Kindergarten Singapore Math Training: Jan 2012
 
Singapore Math Overivew Training I for Principals
Singapore Math Overivew Training I for PrincipalsSingapore Math Overivew Training I for Principals
Singapore Math Overivew Training I for Principals
 
Tuscan/Jefferson Math Parent Nights Nov. 2013
Tuscan/Jefferson Math Parent Nights Nov. 2013Tuscan/Jefferson Math Parent Nights Nov. 2013
Tuscan/Jefferson Math Parent Nights Nov. 2013
 

Similar to Administrators Symposium at East Brunswick

New Jersey Singapore Math Administrators Symposium East Brunswick
New Jersey Singapore Math Administrators Symposium East BrunswickNew Jersey Singapore Math Administrators Symposium East Brunswick
New Jersey Singapore Math Administrators Symposium East Brunswick
Jimmy Keng
 
Singapore Math Seminar at Minneapolis MN
Singapore Math Seminar at Minneapolis MNSingapore Math Seminar at Minneapolis MN
Singapore Math Seminar at Minneapolis MN
Jimmy Keng
 
Math in Focus: Singapore Math Community Institute (updated)
Math in Focus: Singapore Math Community Institute (updated) Math in Focus: Singapore Math Community Institute (updated)
Math in Focus: Singapore Math Community Institute (updated)
Jimmy Keng
 
Singapore Math Administrators Symposium Newark
Singapore Math Administrators Symposium NewarkSingapore Math Administrators Symposium Newark
Singapore Math Administrators Symposium Newark
Jimmy Keng
 
Singapore Math at Saint Louis
Singapore Math at Saint LouisSingapore Math at Saint Louis
Singapore Math at Saint Louis
Jimmy Keng
 
Singapore Math Administrators Symposium Scottsdale
Singapore Math Administrators Symposium ScottsdaleSingapore Math Administrators Symposium Scottsdale
Singapore Math Administrators Symposium Scottsdale
Jimmy Keng
 
Alabama AMSTI
Alabama AMSTIAlabama AMSTI
Alabama AMSTI
Jimmy Keng
 
Parents University at Barrington 220
Parents University at Barrington 220Parents University at Barrington 220
Parents University at Barrington 220
Jimmy Keng
 
UNISA Research on MTPD
UNISA Research on MTPDUNISA Research on MTPD
UNISA Research on MTPD
Jimmy Keng
 
Highline Session 3 at Parkside Elementary
Highline Session 3 at Parkside ElementaryHighline Session 3 at Parkside Elementary
Highline Session 3 at Parkside Elementary
Jimmy Keng
 
Dinner Event HMH
Dinner Event HMHDinner Event HMH
Dinner Event HMH
Jimmy Keng
 
NCTM Differentiated Instruction Using Singapore Math
NCTM Differentiated Instruction Using Singapore Math NCTM Differentiated Instruction Using Singapore Math
NCTM Differentiated Instruction Using Singapore Math
Jimmy Keng
 
MAP101 Hilo, Hawai'i
MAP101 Hilo, Hawai'iMAP101 Hilo, Hawai'i
MAP101 Hilo, Hawai'i
Jimmy Keng
 
Singapore Maths in London (Harris)
Singapore Maths in London (Harris)Singapore Maths in London (Harris)
Singapore Maths in London (Harris)
Jimmy Keng
 
Highline Session 2
Highline Session 2Highline Session 2
Highline Session 2
Jimmy Keng
 
SINDA Teaching Whole Numbers Conceptually
SINDA Teaching Whole Numbers ConceptuallySINDA Teaching Whole Numbers Conceptually
SINDA Teaching Whole Numbers Conceptually
Jimmy Keng
 
Seminar for Parents in Seoul
Seminar for Parents in SeoulSeminar for Parents in Seoul
Seminar for Parents in Seoul
Jimmy Keng
 
Meet and Greet Session for Rekenwonders Schools in The Netherlands
Meet and Greet Session for Rekenwonders Schools in The NetherlandsMeet and Greet Session for Rekenwonders Schools in The Netherlands
Meet and Greet Session for Rekenwonders Schools in The Netherlands
Jimmy Keng
 
Conference in Baguio City
Conference in Baguio CityConference in Baguio City
Conference in Baguio City
Jimmy Keng
 
MTAP TL International Convention
MTAP TL International ConventionMTAP TL International Convention
MTAP TL International Convention
Jimmy Keng
 

Similar to Administrators Symposium at East Brunswick (20)

New Jersey Singapore Math Administrators Symposium East Brunswick
New Jersey Singapore Math Administrators Symposium East BrunswickNew Jersey Singapore Math Administrators Symposium East Brunswick
New Jersey Singapore Math Administrators Symposium East Brunswick
 
Singapore Math Seminar at Minneapolis MN
Singapore Math Seminar at Minneapolis MNSingapore Math Seminar at Minneapolis MN
Singapore Math Seminar at Minneapolis MN
 
Math in Focus: Singapore Math Community Institute (updated)
Math in Focus: Singapore Math Community Institute (updated) Math in Focus: Singapore Math Community Institute (updated)
Math in Focus: Singapore Math Community Institute (updated)
 
Singapore Math Administrators Symposium Newark
Singapore Math Administrators Symposium NewarkSingapore Math Administrators Symposium Newark
Singapore Math Administrators Symposium Newark
 
Singapore Math at Saint Louis
Singapore Math at Saint LouisSingapore Math at Saint Louis
Singapore Math at Saint Louis
 
Singapore Math Administrators Symposium Scottsdale
Singapore Math Administrators Symposium ScottsdaleSingapore Math Administrators Symposium Scottsdale
Singapore Math Administrators Symposium Scottsdale
 
Alabama AMSTI
Alabama AMSTIAlabama AMSTI
Alabama AMSTI
 
Parents University at Barrington 220
Parents University at Barrington 220Parents University at Barrington 220
Parents University at Barrington 220
 
UNISA Research on MTPD
UNISA Research on MTPDUNISA Research on MTPD
UNISA Research on MTPD
 
Highline Session 3 at Parkside Elementary
Highline Session 3 at Parkside ElementaryHighline Session 3 at Parkside Elementary
Highline Session 3 at Parkside Elementary
 
Dinner Event HMH
Dinner Event HMHDinner Event HMH
Dinner Event HMH
 
NCTM Differentiated Instruction Using Singapore Math
NCTM Differentiated Instruction Using Singapore Math NCTM Differentiated Instruction Using Singapore Math
NCTM Differentiated Instruction Using Singapore Math
 
MAP101 Hilo, Hawai'i
MAP101 Hilo, Hawai'iMAP101 Hilo, Hawai'i
MAP101 Hilo, Hawai'i
 
Singapore Maths in London (Harris)
Singapore Maths in London (Harris)Singapore Maths in London (Harris)
Singapore Maths in London (Harris)
 
Highline Session 2
Highline Session 2Highline Session 2
Highline Session 2
 
SINDA Teaching Whole Numbers Conceptually
SINDA Teaching Whole Numbers ConceptuallySINDA Teaching Whole Numbers Conceptually
SINDA Teaching Whole Numbers Conceptually
 
Seminar for Parents in Seoul
Seminar for Parents in SeoulSeminar for Parents in Seoul
Seminar for Parents in Seoul
 
Meet and Greet Session for Rekenwonders Schools in The Netherlands
Meet and Greet Session for Rekenwonders Schools in The NetherlandsMeet and Greet Session for Rekenwonders Schools in The Netherlands
Meet and Greet Session for Rekenwonders Schools in The Netherlands
 
Conference in Baguio City
Conference in Baguio CityConference in Baguio City
Conference in Baguio City
 
MTAP TL International Convention
MTAP TL International ConventionMTAP TL International Convention
MTAP TL International Convention
 

More from Jimmy Keng

Three-Day Course Day 1
Three-Day Course Day 1Three-Day Course Day 1
Three-Day Course Day 1Jimmy Keng
 
Maths Hub June 2015 Day 1 and Day 2
Maths Hub June 2015 Day 1 and Day 2Maths Hub June 2015 Day 1 and Day 2
Maths Hub June 2015 Day 1 and Day 2
Jimmy Keng
 
Maths Hub Day 1
Maths Hub Day 1Maths Hub Day 1
Maths Hub Day 1Jimmy Keng
 
Math Plus Kansas City
Math Plus Kansas CityMath Plus Kansas City
Math Plus Kansas City
Jimmy Keng
 
TIMSS Selected
TIMSS SelectedTIMSS Selected
TIMSS SelectedJimmy Keng
 
Primary Mathematics Fractions
Primary Mathematics FractionsPrimary Mathematics Fractions
Primary Mathematics Fractions
Jimmy Keng
 
Blake School Presentation Grade 1
Blake School Presentation Grade 1Blake School Presentation Grade 1
Blake School Presentation Grade 1
Jimmy Keng
 
PCN Word Problems
PCN Word ProblemsPCN Word Problems
PCN Word Problems
Jimmy Keng
 
Blake Grade 6
Blake Grade 6Blake Grade 6
Blake Grade 6
Jimmy Keng
 
Blake grade 5
Blake grade 5Blake grade 5
Blake grade 5
Jimmy Keng
 
Blake Grade 4
Blake Grade 4Blake Grade 4
Blake Grade 4
Jimmy Keng
 
Blake Grade 3
Blake Grade 3Blake Grade 3
Blake Grade 3
Jimmy Keng
 
Blake Grade 2
Blake Grade 2Blake Grade 2
Blake Grade 2
Jimmy Keng
 
Blake Grade 1
Blake Grade 1Blake Grade 1
Blake Grade 1
Jimmy Keng
 
2104 WSU Cutouts
2104 WSU Cutouts2104 WSU Cutouts
2104 WSU Cutouts
Jimmy Keng
 
2014 WSU Handouts
2014 WSU Handouts2014 WSU Handouts
2014 WSU Handouts
Jimmy Keng
 
2014 WSU Day 2
2014 WSU Day 22014 WSU Day 2
2014 WSU Day 2
Jimmy Keng
 
2014 WSU Day 1 Slides
2014 WSU Day 1 Slides2014 WSU Day 1 Slides
2014 WSU Day 1 Slides
Jimmy Keng
 
Se01 abc's of singapore math through whole numbers
Se01 abc's of singapore math through whole numbersSe01 abc's of singapore math through whole numbers
Se01 abc's of singapore math through whole numbers
Jimmy Keng
 
Sd09 visualization
Sd09 visualizationSd09 visualization
Sd09 visualization
Jimmy Keng
 

More from Jimmy Keng (20)

Three-Day Course Day 1
Three-Day Course Day 1Three-Day Course Day 1
Three-Day Course Day 1
 
Maths Hub June 2015 Day 1 and Day 2
Maths Hub June 2015 Day 1 and Day 2Maths Hub June 2015 Day 1 and Day 2
Maths Hub June 2015 Day 1 and Day 2
 
Maths Hub Day 1
Maths Hub Day 1Maths Hub Day 1
Maths Hub Day 1
 
Math Plus Kansas City
Math Plus Kansas CityMath Plus Kansas City
Math Plus Kansas City
 
TIMSS Selected
TIMSS SelectedTIMSS Selected
TIMSS Selected
 
Primary Mathematics Fractions
Primary Mathematics FractionsPrimary Mathematics Fractions
Primary Mathematics Fractions
 
Blake School Presentation Grade 1
Blake School Presentation Grade 1Blake School Presentation Grade 1
Blake School Presentation Grade 1
 
PCN Word Problems
PCN Word ProblemsPCN Word Problems
PCN Word Problems
 
Blake Grade 6
Blake Grade 6Blake Grade 6
Blake Grade 6
 
Blake grade 5
Blake grade 5Blake grade 5
Blake grade 5
 
Blake Grade 4
Blake Grade 4Blake Grade 4
Blake Grade 4
 
Blake Grade 3
Blake Grade 3Blake Grade 3
Blake Grade 3
 
Blake Grade 2
Blake Grade 2Blake Grade 2
Blake Grade 2
 
Blake Grade 1
Blake Grade 1Blake Grade 1
Blake Grade 1
 
2104 WSU Cutouts
2104 WSU Cutouts2104 WSU Cutouts
2104 WSU Cutouts
 
2014 WSU Handouts
2014 WSU Handouts2014 WSU Handouts
2014 WSU Handouts
 
2014 WSU Day 2
2014 WSU Day 22014 WSU Day 2
2014 WSU Day 2
 
2014 WSU Day 1 Slides
2014 WSU Day 1 Slides2014 WSU Day 1 Slides
2014 WSU Day 1 Slides
 
Se01 abc's of singapore math through whole numbers
Se01 abc's of singapore math through whole numbersSe01 abc's of singapore math through whole numbers
Se01 abc's of singapore math through whole numbers
 
Sd09 visualization
Sd09 visualizationSd09 visualization
Sd09 visualization
 

Recently uploaded

Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptxChapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
Denish Jangid
 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
iammrhaywood
 
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
Nguyen Thanh Tu Collection
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Mohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
NgcHiNguyn25
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
heathfieldcps1
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
Celine George
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
AyyanKhan40
 
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
สมใจ จันสุกสี
 
The History of Stoke Newington Street Names
The History of Stoke Newington Street NamesThe History of Stoke Newington Street Names
The History of Stoke Newington Street Names
History of Stoke Newington
 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
WaniBasim
 
Advanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docxAdvanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docx
adhitya5119
 
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...
Diana Rendina
 
Main Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docxMain Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docx
adhitya5119
 
A Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdfA Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdf
Jean Carlos Nunes Paixão
 
How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17
Celine George
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Nguyen Thanh Tu Collection
 
How to deliver Powerpoint Presentations.pptx
How to deliver Powerpoint  Presentations.pptxHow to deliver Powerpoint  Presentations.pptx
How to deliver Powerpoint Presentations.pptx
HajraNaeem15
 
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
Wahiba Chair Training & Consulting
 
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptxPrésentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
siemaillard
 

Recently uploaded (20)

Chapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptxChapter wise All Notes of First year Basic Civil Engineering.pptx
Chapter wise All Notes of First year Basic Civil Engineering.pptx
 
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptxNEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
 
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
 
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxChapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
 
Life upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for studentLife upper-Intermediate B2 Workbook for student
Life upper-Intermediate B2 Workbook for student
 
The basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptxThe basics of sentences session 6pptx.pptx
The basics of sentences session 6pptx.pptx
 
How to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP ModuleHow to Add Chatter in the odoo 17 ERP Module
How to Add Chatter in the odoo 17 ERP Module
 
PIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf IslamabadPIMS Job Advertisement 2024.pdf Islamabad
PIMS Job Advertisement 2024.pdf Islamabad
 
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
 
The History of Stoke Newington Street Names
The History of Stoke Newington Street NamesThe History of Stoke Newington Street Names
The History of Stoke Newington Street Names
 
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdfLiberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
 
Advanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docxAdvanced Java[Extra Concepts, Not Difficult].docx
Advanced Java[Extra Concepts, Not Difficult].docx
 
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...
Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...
 
Main Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docxMain Java[All of the Base Concepts}.docx
Main Java[All of the Base Concepts}.docx
 
A Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdfA Independência da América Espanhola LAPBOOK.pdf
A Independência da América Espanhola LAPBOOK.pdf
 
How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17How to Make a Field Mandatory in Odoo 17
How to Make a Field Mandatory in Odoo 17
 
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
 
How to deliver Powerpoint Presentations.pptx
How to deliver Powerpoint  Presentations.pptxHow to deliver Powerpoint  Presentations.pptx
How to deliver Powerpoint Presentations.pptx
 
How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience How to Create a More Engaging and Human Online Learning Experience
How to Create a More Engaging and Human Online Learning Experience
 
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptxPrésentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
Présentationvvvvvvvvvvvvvvvvvvvvvvvvvvvv2.pptx
 

Administrators Symposium at East Brunswick

  • 1. Experiencing Singapore Math Experiencing Singapore Math Newark  East Brunswick 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
  • 3. General Overview of Singapore and its Education System
  • 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 School,  15 Mixed-Level Schools 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. Page 1
  • 10. Experiencing Page 4 Singapore Math
  • 11. Experiencing Singapore Math Experiencing Singapore Math Spiral Approach Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  • 12. 543 + 274 = 
  • 13. 543 + 274 = 
  • 14. 543 + 274 = 
  • 15. 543 + 274 = 
  • 16. 543 + 274 = 
  • 17. 543 + 274 = 
  • 18. 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
  • 21. Experiencing Singapore Math Experiencing Singapore Math Visual Approach Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  • 22. 110 g 290 g Page 2
  • 23. 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. ? ?
  • 24. Experiencing Singapore Math Escuela de Guetamala, Chile
  • 25. x + 2x = 12 Experiencing Singapore Math
  • 26. Experiencing Singapore Math King Solomon Academy, Londo
  • 28. Globe Academy, London Experiencing Singapore Math
  • 29. Experiencing Singapore Math 3x – 2 = 8 Globe Academy, London
  • 30. Experiencing Singapore Math Experiencing Singapore Math Initial Concrete Experiences & Building Conceptual Understanding Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com Slides are available at www.banhar.blogspot.com
  • 31. Experiencing Singapore Math  Relational Understanding  R Skemp what & how  Concrete Introduction  J Bruner Junyuan Secondary School, Singapore Page 08 Page 13
  • 32. Experiencing Singapore Math Share 3 fourths equally among 3. 3 fourths 3 = 1 fourth Page 5
  • 33. Experiencing Singapore Math Share 3 fourths equally between 2. 3 fourths 2 = 6 eighths 2 Share 3 fourths equally among 4. = 3 eighths 3 fourths 4 = 12 sixteenths 4 = 3 sixteenths
  • 34. Experiencing Singapore Math 12 cookies 4 12 pieces 4 12 sixteenths 4 12 tenths 4 12 cookies 4 cookies 12 x 4 12 pieces 4 pieces 12 x 4x Page 13
  • 40. Experiencing Singapore Math Junyuan Secondary School, Singapore  Concrete to Visual  J Bruner visualization  Variation  Z Dienes  Human Intelligences  H Gardner Page 11
  • 41. Math in Focus Experiencing Singapore Math
  • 42. Experiencing Math in Focus Singapore Math
  • 43. Math in Focus Experiencing Singapore Math
  • 44. Experiencing Math in Focus Singapore Math
  • 45. Math in Focus Experiencing Singapore Math
  • 46. Experiencing Singapore Math Math in Focus
  • 47. Math in Focus Experiencing Singapore Math
  • 48. Math in Focus Experiencing Singapore Math
  • 49. Math in Focus Experiencing Singapore Math
  • 50. Math in Focus Experiencing Singapore Math
  • 51. Math in Focus Experiencing Singapore Math
  • 52. Experiencing Singapore Math Da Qiao Primary School, Singapore
  • 53. Experiencing Singapore Math Primary Mathematics (Third Edition) See Ho, S. Y. & Yeap, B. H. (2011). Development of Visualization Skills in Singapore Primary School Mathematics Textbooks. Paper presented at PME-35 Angkara, Turkey. See also Yeap, B. H. (2011). The Emphasis of Primary-Level Textbooks in Singapore on Higher-Order Thinking Skills. Paper presented at International Conference on School Mathematics Textbooks Shanghai, China.
  • 54. Experiencing Singapore Math Visuals are used to teach concepts – distributive property of multiplication – without using formal terms. Primary Mathematics (Third Edition)