1. Michele Klemaszewski Westfield State University Spring 2013
Singapore Math
Michele Klemaszewski
Westfield State University
Spring 2013

2. A typical 5th grade Singapore Math problem:
To prepare for a trip, Keisha spent 1/4 of her money on clothes. She spent 1/3 of the remaining money on a bag. She next bought a camera that cost $15 more than the bag, and had $95 left. How much money did Keisha have to begin with?

3. Keisha spent 1/4 of her money on clothes...
Since we know she spent 1/4 of the money on clothes, we draw four boxes to represent those "fourths",
and designate the first for clothes.
Clothes
1/4
1/4
1/4
1/4

4. She spent 1/3 of the remaining money on a bag...
What remains is 3/4.
We know she spent 1/3 (or one block)
of this money on a bag.
Clothes
Bag
1/4
1/4
1/4
1/4

5. She then bought a camera that cost $15 more than the bag...
The camera was $15 more than the bag, or
we could see it as $15 more than one unit.
We now have two units remaining, with the camera price illustrated as $15 over one unit:
Clothes
Bag
Camera
$15
1/4
1/4
1/4
1/4

6. ...and had $95 left. Clothes Bag
We know the amount she had remaining after her purchases was $95.
We then can see that one unit (or 1/4) of the total is $110.
$15 + $95 = 110
Clothes
Bag
Camera
$95
$15
1/4
1/4
$ = 110
1/4
1/4

7. How much money did Keisha have to begin with?
We see that one unit is $110.
$110 x 4 = $440
We can now conclude that Keisha began with $440,
$110
$110
$110
$110
Clothes
Bag
Camera
$95
$15
1/4
1/4
1/4
1/4

8. A sixth grade Singapore Math word problem Before and After
Last year, the ratio of the numbers of boys to girls in the computer club was 1:2.
This year, 70 new members joined the computer club. There are now 4 times as many bays and 3 times as many girls as last year. How many members were in the computer club last year?

9. A sixth grade Singapore Math word problem Before and After
Last year, the ratio of the numbers of boys to girls in the computer club was 1:2.
This year, 70 new members joined the computer club. There are now 4 times as many bays and 3 times as many girls as last year. How many members were in the computer club last year?

10. A sixth grade Singapore Math word problem Before and After
Last year, the ratio of the numbers of boys to girls in the computer club was 1:2.
This year, 70 new members joined the computer club. There are now 4 times as many boys and 3 times as many girls as last year. How many members were in the computer club last year?

11. A sixth grade Singapore Math word problem Before and After
Last year, the ratio of the numbers of boys to girls in the computer club was 1:2.
This year, 70 new members joined the computer club. There are now 4 times as many boys and 3 times as many girls as last year. How many members were in the computer club last year?

12. A sixth grade Singapore Math word problem Before and After
Last year, the ratio of the numbers of boys to girls in the computer club was 1:2.
This year, 70 new members joined the computer club. There are now 4 times as many boys and 3 times as many girls as last year. How many members were in the computer club last year?

13. Brief History
Beginning in 1980, the country of Singapore began to set it's own standards for mathematics education. Prior to that, Singapore's mathematics textbooks were imported from other countries.
By 1995, the resulting curriculum placed Singapore's students first among participating nations in Trends in International Mathematics and Science Study (TIMISS). In subsequent years, studies continued to show Singapore as a top-performing nation in Mathematics performance.

14. History, continued Singaporemath.com Jeffery and Dawn Thomas
Singapore Math Inc®
Free Online assessments to determine which level to start with:
ttp://

15. The Singapore Model
Uses pictorial models to introduce abstract concepts
Utilize "bar model" method of solving word problems
(Book V of Euclid's Elements, written in the 4th century BC)
Simple systematic word problems, not written to confuse
Minimising the rote drill, but still reinforcing learning
Child Friendly Language
Not written for the American market

16. Major differences between the traditional American model, and the Singapore model.
Traditionally about 30 math concepts can be covered in one year using a spiral approach that introduces concepts and revisits them with added complexity.
This method “does not expect mastery,” leaving some students bored when a concept is revisited, and moving on before it’s fully grasped by other students.
In contrast, Singapore Math covers concepts a year, stays with each 2-3 weeks, and expects mastery before introducing a new lesson.
Metric

17. Analyzing Parts and Wholes: A 7th grade Singapore-style word problem
A Store sold 4 tables and 5 chairs for $752 .
Each table cost $80 more than each chair.
How much did the chairs cost all together?

18. A Store sold 4 tables and 5 chairs

19. Each table cost $80 more than each chair.
Tables
$80
Chairs
$80

20. A Store sold 4 tables and 5 chairs for $752 .
$80
80 x 4 = 320
= 432
432/ 9 = 48
(9 units total)
Each unit =$48
$80
Tables
$80
Chairs
$80

21. How much did the chairs cost all together?
$80
$48
80 x 4 = 320
= 432
432/ 9 = 48
(9 units total)
Each unit =$48
$48 x 5 = $240
$48
$80
Tables
$48
$80
Chairs
$80
$48
$48