Dr. Yeap Ban Har                                                      Marshall Cavendish Institute                        ...
IntroductionWe started the day with an overview of Singapore educationsystem. We also watched a video on the Singapore edu...
General Overview of Singapore and its         Education System                             Land                          ...
General Overview of Singapore and its         Education System GDP per capita in current U.S. dollars     1965      $510 ...
General Overview of Singapore and its              Education System Students   500 000 Teachers   30 000 Principals &...
Universities    National Examination                                               Institutes of                          ...
Curriculum document is available at http://www.moe.gov.sg/
THINKING SCHOOLSLEARNING NATION         Singapore Ministry of Education 1997
whatis singapore      mathematics
Singapore Mathematics: Focus on Thinking   anexcellent       vehicle  for the development   &improvement of        a perso...
Lesson 1We did a lesson on multiplication facts to understand theemphasis on visualization in learning basic materials. We...
Lesson 1                                                           June 18, 2012                             Problem  ...
Da Qiao Primary School            Singapore
Lesson 2We continued to see the emphasis on visualization through theuse of bar models in solving word problems. This less...
Lesson 2                         June 18, 2012      Jack                      $3                         Jack           Ky...
Lesson 2             June 18, 2012           Open Lesson at Hawaii, USA
Lesson 2                                      June 18, 2012                                   What if KylaStory 1         ...
Lesson 2                                    June 18, 2012Story 2Kyla had $3 more than Jack.    Who had                    ...
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 ...
Lesson 3Question: How do we help students set up the model? Studentsare introduced to the idea of using a rectangle to rep...
Lesson 3             June 18, 2012      Carl             $4686      Ben
Differentiated instruction for students who have difficulty with standardalgorithms. Use number           bonds.
2x + x = 4686                                     3x = 4686Students in Grade 7 may use algebra to deal with such situation...
Lessons 4 & 5We studied the strategies to help struggling readers as well asthose weak in representing problem situations....
Lesson 4                                    June 18, 2012         In the end ...   At first …Alice                        ...
Lesson 4   June 18, 2012
Lesson 5                           June 18, 2012           Grade           Grade             6     Grade                  ...
Lesson 5   June 18, 2012
www.si.mcinstitute.com.sgMore information at           si.mcinstitute.com.sg
Singapore Math Beyond the Basics Day 1
Singapore Math Beyond the Basics Day 1
Singapore Math Beyond the Basics Day 1
Singapore Math Beyond the Basics Day 1
Singapore Math Beyond the Basics Day 1
Singapore Math Beyond the Basics Day 1
Singapore Math Beyond the Basics Day 1
Singapore Math Beyond the Basics Day 1
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Singapore Math Beyond the Basics Day 1

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This institute is for Aiea-Moanalua-Radford Complex in Oahu, Hawaii.

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Singapore Math Beyond the Basics Day 1

  1. 1. Dr. Yeap Ban Har Marshall Cavendish Institute Singapore yeapbanhar@gmail.com SINGAPORE M AT H Beyond the Basics Day One St Edward’s SchoolSlides are available at Florida, USAwww.banhar.blogspot.com Marshall Cavendish Institute www.facebook.com/MCISingapore www.mcinstitute.com.sg
  2. 2. IntroductionWe started the day with an overview of Singapore educationsystem. We also watched a video on the Singapore educationsystem. See http://www.youtube.com/watch?v=sEn6OKsVoMs
  3. 3. General Overview of Singapore and its Education System  Land  270 sq miles  People  4.7 million
  4. 4. General Overview of Singapore and its Education System GDP per capita in current U.S. dollars 1965 $510 2010 $43 300
  5. 5. 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.
  6. 6. Universities National Examination Institutes of Poly Technical technics Junior Education Colleges Integrated National Examination Programmes Secondary Schools National Examination Primary SchoolsA detailed schematic diagram of Singapore’s education system is available in Education Statistics Digesthttp://www.moe.gov.sg/education/education-statistics-digest/
  7. 7. Curriculum document is available at http://www.moe.gov.sg/
  8. 8. THINKING SCHOOLSLEARNING NATION Singapore Ministry of Education 1997
  9. 9. whatis singapore mathematics
  10. 10. Singapore Mathematics: Focus on Thinking anexcellent vehicle for the development &improvement of a person’s intellectual competencies Ministry of Education Singapore 2006
  11. 11. Lesson 1We did a lesson on multiplication facts to understand theemphasis on visualization in learning basic materials. We alsosaw the use of an anchor tasks to engage students for anextended period of time.
  12. 12. Lesson 1 June 18, 2012  Problem 2x4=8  10 x 4 =  5 x 4 = 20  5 x 4 = 20 9x4=  2x4=8  4x4=  8x8= 7x4=  2x4=8 6x4=  5 x 4 = 20 3x4= 2x4=8This Grade 2 lesson on multiplication facts of 4 centers around using doublingstrategy and adding one row strategy in addition to previewing more advancedstrategies such as using 2 x 4 and 5 x 4 to get 7 x 4 as well as ‘subtraction’ strategy.The anchor task is to use 2 x 4 and 5 x 4 to obtain all the other facts. The anchor taskallows students to work on one task for an extended period of time.
  13. 13. Da Qiao Primary School Singapore
  14. 14. Lesson 2We continued to see the emphasis on visualization through theuse of bar models in solving word problems. This lesson wasdone with a small group of Grade 3 students who have noexperience with Singapore Math. This session and the onesafter lunch focused on helping students who have difficultieswith reading word problems, representing complex situationsand doing computations. We also saw the use of the cut upword problems in doing differentiated instruction.
  15. 15. Lesson 2 June 18, 2012 Jack $3 Jack Kyla $2 Kyla gave more had than
  16. 16. Lesson 2 June 18, 2012 Open Lesson at Hawaii, USA
  17. 17. Lesson 2 June 18, 2012 What if KylaStory 1 had thisJack had $3. amount before?Jack gave Kyla $2more. Jack Kyla Before $3 $1 $5 $19 After $1 $3 $7 ?
  18. 18. Lesson 2 June 18, 2012Story 2Kyla had $3 more than Jack. Who had more moneyJack $2 afterwards? How muchKyla $3 more?Jack gave Kyla $2.
  19. 19. 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.
  20. 20. Lesson 3Question: How do we help students set up the model? Studentsare introduced to the idea of using a rectangle to representquantities – known and unknown. Paper strips are used. Later,only diagrams are used. Advanced skills like cutting andmoving are learned in Grades 4, 5 and 6. How is the idea of barmodel introduced in Grades K – 3? Listen out for this on Day 2.Lesson 3 show a basic bar model solution.
  21. 21. Lesson 3 June 18, 2012 Carl $4686 Ben
  22. 22. Differentiated instruction for students who have difficulty with standardalgorithms. Use number bonds.
  23. 23. 2x + x = 4686 3x = 4686Students in Grade 7 may use algebra to deal with such situations. Barmodel is actual linear equations in pictorial form.
  24. 24. Lessons 4 & 5We studied the strategies to help struggling readers as well asthose weak in representing problem situations.• Who is in the story? What is it all about?• Is the sentence easy?• Read a complex sentence as simple sentences.• Leave out numbers in reading
  25. 25. Lesson 4 June 18, 2012 In the end ... At first …Alice 20Betty 10Charmaine Dolly
  26. 26. Lesson 4 June 18, 2012
  27. 27. Lesson 5 June 18, 2012 Grade Grade 6 Grade 4 5 240
  28. 28. Lesson 5 June 18, 2012
  29. 29. www.si.mcinstitute.com.sgMore information at si.mcinstitute.com.sg

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