ED2284A
NOR SAFIRAH BINTI ABD RASHID
HURUN AIN BINTI MOHD BAKRI
NURUL SYAZANA BINTI RAMLAN
[2011922719]
[2011967769]
[2011561679]
GENERAL VIEW
A problem exist
when a problem
solver has a goal but
does not know how
to accomplish it.
Any question
proposed for solution
or discussion.
MATHEMATICAL
VIEW
A statement
requiring
solution, usually
by mean of
mathematical
operation or
geometric
construction.
Types of Problem
Closed Types
Routine Problem
Non-routine
Problem
Open-ended
Types
Mathematical
CLOSED ENDED
OPEN ENDED
- Many of the questions we
ask students call for a
single number, figure, or
mathematical objects.
- These questions allow a
variety of correct
responses and elicit a
different kind of student
thinking.
Example:
What is 6x8?
Example:
How could you
use 5x6 to find
the answer to
8x6?
Closed Ended Question
Routine
Non-Routine
Problem in mathematic
lesson that involves easy
and simple problem
solving.
Problem in mathematic
lesson that involves
difficult problem solving.
 What is the odd number between 10 and
20?
 Factor of x² - 2x - 8
open ended questions allow
a variety of correct responses
and elicit a different kind of
student thinking.
Where to find open-ended items
• Intermediate Units – “Performance Assessment Lesson Plan
Topics”
• Text resource books
• Multi-step word problems from your textbook
• Teacher-made questions
Why used open-ended Questions ?
• Traditionally: questions required single number
answers
• What if? Forgot what 8 x 6 is equal to but remembers
what 5 x 6 is equal to
• How could a student use this fact to figure out 8 x 6?
Open-Ended Question
How could you use
5x6 to find the
answer to 8x6?
The Open Ended Question allows students to
think critically and demonstrate their own
ways of solving the problem.
• 5 x 6 = 30
• I need 3 more 6’s to make a
total of 8 groups of 6 – that’s
18
• 30 + 18 = 48
• 5 x 6 = 30
• Using my fingers I can start at
30 and count out six fingers 3
times.
• That gives me 48
Using each of 1, 2, 3, 4, 5, and 6 once and only once, fill in
the circles so that the sums of the numbers on each side
of the three sides of the triangle are equal.
Example Open-Ended Question
A paddy lorry weight is one tone. How many
paddies can be fill in that lorry?
1)
2)
3)
4)
No fixed clue : Can be division, multiplication, addition or ratio.
Not all data given
Can make own assumption
Making decision and estimation on the weight of paddy.
Johnny wants to plant a garden in the shape of a
rectangle. Using the figure below, how would he
divide the garden so that 50% of the garden is peas,
25% is beans, 15% is corn, and 10% is carrots.
50%
25%
15% 10%
50%
25%
15%
10%
Solve the riddle using the clues and numbers in the table.
1. It is not 3 x 4
2. It is not > 56.
3. It does not equal 4 tens.
4. It does not equal 2 x 7.
5. It is not the missing number
in 3 x n = 12.
The number is ______
Problem Interest Students
1)
(𝒙+𝟏)(𝒙−𝟏)
𝒙
+
𝟑
(𝒙−𝟏)
2)
𝟑𝒙𝟑 +𝒙
𝒙
;
𝒙+𝟑
𝒙
𝟐
3) (𝒙 + 𝒚) ;
𝒙+𝒚 ;
𝟏
𝒙+𝒚
4) Convert 𝟕𝒙 to fractional exponent
3
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