Singapore Math
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Transcript of Singapore Math
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?