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This institute is for Aiea-Moanalua-Radford Complex in Oahu, Hawaii.
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Dr. Yeap Ban HarMarshall Cavendish Institute
Singaporeyeapbanhar@gmail.com
Slides are available at
www.banhar.blogspot.com
www.facebook.com/MCISingaporeMarshall Cavendish Institute
www.mcinstitute.com.sg
SINGAPORE
M AT H Beyond the Basics
St Edward’s SchoolFlorida, USA
Day One
IntroductionWe started the day with an overview of Singapore education system. We also watched a video on the Singapore education system. See http://www.youtube.com/watch?v=sEn6OKsVoMs
General Overview of Singapore and its Education System
Land 270 sq miles
People 4.7 million
General Overview of Singapore and its Education System
GDP per capita in current U.S. dollars1965 $510 2010 $43 300
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) 15 Mixed-Level Schools
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.
Canossa Convent Primary School Singapore
Universities
PolytechnicsJunior
Colleges
Integrated Programmes
National Examination
Secondary Schools
National Examination
Institutes of Technical Education
Primary Schools
National Examination
A detailed schematic diagram of Singapore’s education system is available in Education Statistics Digest http://www.moe.gov.sg/education/education-statistics-digest/
Singapore Ministry of Education 1997
THINKING SCHOOLSLEARNING NATION
is singapore
whatmathematics
Singapore Mathematics: Focus on Thinking
excellentvehicleanforthe
development&improvement of
a person’s intellectual
competenciesMinistry of Education Singapore 2006
Lesson 1We did a lesson on multiplication facts to understand the emphasis on visualization in learning basic materials. We also saw the use of an anchor tasks to engage students for an extended period of time.
Lesson 1 June 18, 2012
2 x 4 = 8
5 x 4 = 20Problem10 x 4 = 5 x 4 = 209 x 4 = 2 x 4 = 84 x 4 = 8 x 8 = 7 x 4 = 2 x 4 = 8 6 x 4 = 5 x 4 = 20 3 x 4 =
2 x 4 = 8
This Grade 2 lesson on multiplication facts of 4 centers around using doubling strategy and adding one row strategy in addition to previewing more advanced strategies 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 task allows students to work on one task for an extended period of time.
Da Qiao Primary School Singapore
Lesson 2We continued to see the emphasis on visualization through the use of bar models in solving word problems. This lesson was done with a small group of Grade 3 students who have no experience with Singapore Math. This session and the ones after lunch focused on helping students who have difficulties with reading word problems, representing complex situations and doing computations. We also saw the use of the cut up word problems in doing differentiated instruction.
Lesson 2 June 18, 2012
Jack
Kyla
had
$2
more
than
Jack
Kyla
gave
$3
Lesson 2 June 18, 2012
Open Lesson at Hawaii, USA
Lesson 2 June 18, 2012
Story 1Jack had $3.Jack gave Kyla $2 more.
Jack Kyla
Before $3 $1 $5 $19
After $1 $3 $7 ?
What if Kyla had this amount before?
Lesson 2 June 18, 2012
Story 2Kyla had $3 more than Jack.
Jack
Kyla
Jack gave Kyla $2.
$2
$3
Who had more money afterwards? How much
more?
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.
Lesson 3Question: How do we help students set up the model? Students are introduced to the idea of using a rectangle to represent quantities – known and unknown. Paper strips are used. Later, only diagrams are used. Advanced skills like cutting and moving are learned in Grades 4, 5 and 6. How is the idea of bar model introduced in Grades K – 3? Listen out for this on Day 2.
Lesson 3 show a basic bar model solution.
Lesson 3 June 18, 2012
Carl
Ben
$4686
Differentiated instruction for students who have difficulty with
standard algorithms. Use number bonds.
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.
Lessons 4 & 5We studied the strategies to help struggling readers as well as those 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
Lesson 4 June 18, 2012
In the end ...
At first …
Alice
Betty
Charmaine
Dolly
20
10
Lesson 4 June 18, 2012
Lesson 5 June 18, 2012
Grade 6
Grade 4
Grade 5
240
Lesson 5 June 18, 2012
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