Red Swastika School
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Transcript of Red Swastika School
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Problem-Solving Heuristics in Mathematics
Dr Yeap Ban HarMarshall Cavendish Institute
www.banhar.comPhoto Credit: Students solving a mathematics problem using draw-a-diagram heuristic at Da Qiao Primary School.
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““Mathematics is Mathematics is an excellent vehicle an excellent vehicle
for the development and improvement of a for the development and improvement of a person’s intellectual competence ...”person’s intellectual competence ...”
Singapore Ministry of Education 2006Singapore Ministry of Education 2006
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Source: Mathematics Syllabus Primary Source: Mathematics Syllabus Primary
Singapore Ministry of Education 2006Singapore Ministry of Education 2006
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Heuristic: Model MethodHeuristic: Model Method
In a basket, 5/9 of the fruits are apples and the rest are oranges. 3/10 of the apples are green in colour. There are 15 green apples. How many fruits are there in the basket?
Source: Primary School Leaving Examination 2006 – 2010Source: Primary School Leaving Examination 2006 – 2010
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The Bar Model MethodThe Bar Model Method
In a basket, 5/9 of the fruits are apples and the rest are oranges. 3/10 of the apples are green in colour. There are 15 green apples. How many fruits are there in the basket?
Source: Primary School Leaving Examination 2006 – 2010Source: Primary School Leaving Examination 2006 – 2010
15
3 units = 15
1 units = 5
18 units = 18 x 5 = 90
There are 90 fruits in the basket.
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King Solomon Academy, LondonKing Solomon Academy, London
This refers to the two numbers
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88
11 units = 8801 units = 08
First Number = 6 x 8 = 48 Second Number = 5 x 8 = 40
The numbers are 40 and 48.
First Number
SecondNumber
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National Singapore Math Summer InstituteNational Singapore Math Summer InstituteDenver, USADenver, USA
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12.2 can be seen as 12 and 20 hundredths. Students who lack number sense may give the incorrect answer of 3.5 instead of 3.05.
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3Example 4
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34Example 5
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4Example 5
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3 units = $12
1 unit = $4
8 units = 8 x $4 = $32
Kyla had $32 at first.
Alternate Method$12 ÷ 3 x 8 = $32
Model Method
5Example 6
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Did you get 3 as the final
answer?
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88 – 34 = 5454 – 34 = 20 34 – 20 = 14
14
2 units = 143 units = 14 ÷ 2 x 3 = 21
21 girls wore goggles on that day.
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Method 1 Guess and Check / Make a Table
Number of Children
3 $22 + $6 = $28 $24 + $25 = $49
4
….
Method 2 Using Number Sentences
$25 + $2 = $27$27 : $3 = 9There were 10 children.
Total amount = $8 x 10 + $25 = $105So each child received $105 : 10 = $10.50
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Method 1 Guess and Check / Make a Table
30 – 3 = 275 x 27 = 135135 : 3 = 45
There were 45 books on each shelf at first.
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Attached School University of Tsukuba
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Red Swastika School Workshop for Parents
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Attached School University of Tsukuba
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Attached School University of Tsukuba
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Attached School University of Tsukuba