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Introduction to
    Singapore Math

    Cassy Turner
www.SingaporeMathSource.com
Why Implement
         Singapore Math?

 Singapore students placed top three
 of all participating countries in 2007,
 2003, 1999, 1995 on the TIMSS…

…both fourth and eighth grade students!
What is the TIMSS?

 Benchmarking study of mathematics
and science achievement carried out
    since 1995 by the International
   Association for the Evaluation of
      Educational Achievement.
What is the TIMSS?
 In 2007, 48 countries participated in
  TIMSS, at the fourth-grade level, the
  eighth-grade level, or both.
 2007 results are the most recent
  comparison (2003, 1999, 1995 are the
  dates of earlier studies).
 2011 results will be released
  December 20012.
Average mathematics scale scores of
          fourth-grade students, by country: 2007
Hong Kong            607
Singapore            599
Chinese Taipei       576
Japan                568
Kazahkstan           549
Russian Federation   544
Finland              541
Latvia               537
Netherlands          535              SOURCE:
England              531              Trends in International
Lithuania            530                  Mathematics and
                                          Science Study (TIMSS),
United States        529                  2007
Germany              525
                                      http://nces.ed.gov/timss/table07
Denmark              523
International        500
Average mathematics scale scores of
         eighth-grade students, by country: 2007
Chinese Taipei       598
Korea, Republic of   597
Singapore            593
Hong Kong            572
Japan                570
Hungary              517
England              513            SOURCE:

Russian Federation   512            Trends in International
                                        Mathematics and
United States        508                Science Study
                                        (TIMSS), 2007
Lithuania            506            http://nces.ed.gov/timss/tab
Czech rRepublic      504
Scale Average        500
Five Factors to
     Singapore’s Success

1. A sound curriculum
2. High expectations
3. Subject banding
4. Well-managed schools
5. Qualified & dedicated teachers
Singapore Math Philosophy
Topics are introduced then used
 for challenging problems
   Emphasis on Mental Math
        26 + 16


       26 4 12
        30 + 12 = 42
Singapore Math Philosophy
Word problems begin in 1st grade.

Instruction moves from the concrete
 to the pictorial to the abstract.
Great for visual & English Language
 Learners.
Mastery of basic math facts
 required!
Begin with the basics…

                Concrete


          ?     Pictorial


7+3=            Abstract
2 Types of Bar Models

Part - Whole Model
Used to find the whole given the parts
 or the parts given the whole.

Comparison Bars
Used to compare two objects to
 each other.
Part – Whole Models

On Tuesday, Cole ran 6 miles. On Thursday,
he ran 8 miles. How many miles did he run
altogether?

        6 mi           8 mi



                ? mi
Comparison Bar Models

Lisa is 13 years old. Her sister is 22 years old.
Find the difference in age between them.

               13               ?

   Lisa
   Sister


                       22
Ready to Try
Some Word
 Problems?
In a class, 2/5 of the students wear
glasses.
If 16 students wear glasses, how
many students are there
altogether?



(Primary Mathematics Standards Edition 3b)
John and Paul spent $45 altogether.
John and Henry spent $65 altogether.
If Henry spent 3 times as much as
Paul, how much did John spend?




(Primary Mathematics Standards Edition 5a)
Looking for the answers?
Email:
cassy@singaporemathsource.com

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Intro To Singapore Math

  • 1. Introduction to Singapore Math Cassy Turner www.SingaporeMathSource.com
  • 2. Why Implement Singapore Math? Singapore students placed top three of all participating countries in 2007, 2003, 1999, 1995 on the TIMSS… …both fourth and eighth grade students!
  • 3. What is the TIMSS? Benchmarking study of mathematics and science achievement carried out since 1995 by the International Association for the Evaluation of Educational Achievement.
  • 4. What is the TIMSS?  In 2007, 48 countries participated in TIMSS, at the fourth-grade level, the eighth-grade level, or both.  2007 results are the most recent comparison (2003, 1999, 1995 are the dates of earlier studies).  2011 results will be released December 20012.
  • 5. Average mathematics scale scores of fourth-grade students, by country: 2007 Hong Kong 607 Singapore 599 Chinese Taipei 576 Japan 568 Kazahkstan 549 Russian Federation 544 Finland 541 Latvia 537 Netherlands 535 SOURCE: England 531 Trends in International Lithuania 530 Mathematics and Science Study (TIMSS), United States 529 2007 Germany 525 http://nces.ed.gov/timss/table07 Denmark 523 International 500
  • 6. Average mathematics scale scores of eighth-grade students, by country: 2007 Chinese Taipei 598 Korea, Republic of 597 Singapore 593 Hong Kong 572 Japan 570 Hungary 517 England 513 SOURCE: Russian Federation 512 Trends in International Mathematics and United States 508 Science Study (TIMSS), 2007 Lithuania 506 http://nces.ed.gov/timss/tab Czech rRepublic 504 Scale Average 500
  • 7. Five Factors to Singapore’s Success 1. A sound curriculum 2. High expectations 3. Subject banding 4. Well-managed schools 5. Qualified & dedicated teachers
  • 8. Singapore Math Philosophy Topics are introduced then used for challenging problems  Emphasis on Mental Math 26 + 16 26 4 12 30 + 12 = 42
  • 9. Singapore Math Philosophy Word problems begin in 1st grade. Instruction moves from the concrete to the pictorial to the abstract. Great for visual & English Language Learners. Mastery of basic math facts required!
  • 10. Begin with the basics… Concrete ? Pictorial 7+3= Abstract
  • 11. 2 Types of Bar Models Part - Whole Model Used to find the whole given the parts or the parts given the whole. Comparison Bars Used to compare two objects to each other.
  • 12. Part – Whole Models On Tuesday, Cole ran 6 miles. On Thursday, he ran 8 miles. How many miles did he run altogether? 6 mi 8 mi ? mi
  • 13. Comparison Bar Models Lisa is 13 years old. Her sister is 22 years old. Find the difference in age between them. 13 ? Lisa Sister 22
  • 14. Ready to Try Some Word Problems?
  • 15. In a class, 2/5 of the students wear glasses. If 16 students wear glasses, how many students are there altogether? (Primary Mathematics Standards Edition 3b)
  • 16. John and Paul spent $45 altogether. John and Henry spent $65 altogether. If Henry spent 3 times as much as Paul, how much did John spend? (Primary Mathematics Standards Edition 5a)
  • 17. Looking for the answers? Email: cassy@singaporemathsource.com