Singapore Math

Learning approach developed to instill mathematical thinking at every stage. Through this, students can solve formidable problems early. They learn Algebra without using the word Algebra.

It was developed in Singapore in the late 1970’s-early 1980’s, and was implemented in mid-1980’s.

Singapore Math

Basic point: It goes from

Concrete examples

33

Visual representation Abstract to

Singapore Math

Addition: 3 + 4 = 7

Concrete:

Put together:

Singapore Math

Addition: 3 + 4 = 7

Concrete:

Put together:

Singapore Math

Addition: 3 + 4 = 7

Concrete:

Put together:

Singapore Math

Addition: 3 + 4

Concrete:

Put together: Total

Bar-graph

Singapore Math

Addition: 3 + 4 = ?

Put together: Total

Visual: ?3 4

?: Sum (total)

Bar-graph

Singapore Math

Addition: 3 + 4 = ?

Put together: Total

Visual: 73 4

7: Sum (total)

Bar-graph

Singapore Math

Subtraction: 7 - 4

Concrete:

Remove 4:

Singapore Math

Subtraction: 7 - 4

Concrete:

Remove 4:

Singapore Math

Subtraction: 7 - 4

Concrete:

Remove 4:

Singapore Math

Subtraction: 7 - 4

Concrete:

Remove 4:

Singapore Math

Subtraction: 7 - 4

Concrete:

Remove 4:

= 3

Singapore Math

Subtraction: 7 - 4

Concrete: ?

Visual: 74 ?

Singapore Math

Multiplication:

Concrete

3 5

Singapore Math

Multiplication:

Concrete

3 5

Singapore Math

Multiplication:

Visual

3 5

3 3 3 3 3?

? = Product

Singapore Math

Multiplication:

Visual

3 5

3 3 3 3 315

15 = Product

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Concrete

12 4

Make 4 equal group

Singapore Math

Division:

Visual

12 4

12

Singapore Math

Division:

Visual

12 4

? ? ? ?12

Singapore Math

Division:

Visual

12 4

? ? ? ?12

Singapore Math

Division:

Visual

12 4

3 3 3 312

Singapore Math

One uses visuals to solve complexproblems.

Various Singapore Math books are full of challenging problems.

Singapore Math

Advantages:

• Easy to identify mathematical operation.

• Gives access to solve multi-step complex problems easily

• Students solve word problems by identifying the given information and determine the unknowns.

Examples of exercises that require thinking

Where would the ball be if the length of the string is doubled?

Examples of exercises that require thinking

Draw the correct number of O on the right side of Scale C so that it is balanced.

Examples of exercises that require thinking

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18cm

What is the length of the ribbon?

Examples of exercises that require thinking

The heaviest object is _____.

The lightest object is _____.

Study the diagram below and answerthe questions

Examples of exercises that require thinking

+

+

= 20

= 70

= ___

Examples of exercises that require thinking

Mrs. Tan baked 50 cookies. She gave 8 cookies to each of her two sons. Her daughter received 4 more cookies than each son.

(a) How many cookies did Mrs. Tan give to her sons and daughter altogether?

(b) How many cookies are left?

Examples of exercises that require thinking

A farmer wants to know how manypigs and hens are on his farm. He asks his children to count the animals on the farm. His children determined that there are 70 heads of pigs and hens and 200 legs altogether.

How many pigs and hens are on the farm?

Examples of exercises that require thinking

Mary took a test that had 30 questions. She received 5 points for each correct answer, but lost 2 points for each incorrect answer. She scored 115 points on this test.

How many of the answers were correct and incorrect?

Examples of exercises that require thinking

Sue invited her four friends at her home. She will serve everyone including her self a glass of orange juice. It takes two oranges to make a glass of orange juice. She has three oranges. How many more oranges are needed so there is a glass of orange juice for everyone?