5. • Measure the learner’s ability to solve
problems that require quantitative knowledge
and competencies and/or critical thinking
skills.
• These items present a problem situation or
task that will require learners to demonstrate
work procedures or come up with a correct
solution.
6. Different variations of the Quantitative
Problem Solving Test Items
1.One answer choices
2.All possible answer choices
3.Type-In answer
7. 1. One Answer Choices
• This type of question has four or five
options, and the student are required to
choose the best answer.
8. Example:
What is the mean of the following score distribution: 32, 44,
56, 69, 75, 77, 95, 96?
a) 68
b) 69
c) 72
d) 74
e) 76
THE CORRECT ANSWER IS (A.68)
9. 2. All Possible Answer Choices
• This type of question has four or five options,
and students are required to choose all of the
options that are correct.
10. Example:
Consider the following score distribution: 12, 14, 14, 14, 17, 24, 27,
28, 30. Which of the following is/are the correct measure/s of central
tendency? Indicate all possible answers.
a) mean=20
b) mean=22
c) median=16
d) median=17
e) mode=14
CORRECT ANSWERS ARE (A,D, and E)
11. 3. Type-In Answer
• This type of question does not provide options to
choose from. Instead, the learners are asked to
supply the correct answers. The teacher should
inform the learners at the start how their answers
will be rated.
12. Example:
• The teacher may require just the correct answers
or may require learners to present the step-by-step
procedures in coming up their answers.
• On the other hand, for non-mathematical problem-
solving, such as a case study, the teacher may
present a rubric how their answers will be rated.
14. ADVANTAGES
• Minimize guessing by requiring the students to provide an
original response rather than to select from several
alternatives.
• Easier to construct than multiple choice or matching items.
• Can most appropriately measure objectives which focus on
the ability to apply skills or knowledge in the solution of
problems.
• Can measure an extensive amount of content or objectives.
15. LIMITATIONS
• Require an extensive amount of instructor time to
read/grade.
• Subject to scorer bias when partial credit is given.
17. 1. Identify and Explain the Problem Clearly
• Faulty: Tricia was 135.6 lbs. when she started with zumba exercise.
After 3 months of attending the sessions three times a week, her
weight was down to 122.8 lbs. About how many lbs. did she lose in
three months? Write your answer in the space provided and show your
computations.
• Good: Tricia was 135.6 lbs. when she started with zumba exercise.
After 3 months of attending the sessions three times a week, her
weight was down to 122.8 lbs. How many lbs. did she lose in three
months? Write your answer in the space provided and show your
computations. Write the exact weight, do not round off.
18. 2. Be Specific and Clear of the Type of
Response Required from the Students
• Faulty: An American tourist in Paris finds that he
weighs 70 kilograms. When he left the United States he
weighed 144 pounds. What was his net change in
weight?
• Good: An American tourist in Paris finds that he weighs
70 kilograms. When he left the United States he
weighed 144 pounds. What was his net weight change
in pounds?
19. 3. Specify in the Directions the Bases for
Grading Students’ Answers/Procedures
• Faulty: VCV Consultation firm was commissioned to conduct a
survey on the voter’s preferences in Visayas and Mindanao for
the upcoming presidential election. In Visayas, 65% Liberal Party
(LP) candidate, while 35% are for the Nationalist Party (NP)
candidate. In Mindanao, 70% voters are Nationalist, while 30%
are LP supporters. A survey was conducted among 200 voters for
each region. What is the probability that the survey will show a
greater percentage of Liberal Party supporters in Mindanao than
in Visayas Region?
20. • Good: VCV Consultation firm was commissioned to conduct a survey on the voter’s
preferences in Visayas and Mindanao for the upcoming presidential election. In
Visayas, 65% Liberal Party (LP) candidate, while 35% are for the Nationalist Party
(NP) candidate. In Mindanao, 70% voters are Nationalist, while 30% are LP
supporters. A survey was conducted among 200 voters for each region. What is the
probability that the survey will show a greater percentage of Liberal Party supporters
in Mindanao than in Visayas Region? Please show your solutions in to support your
answer. Your answer will be graded as follows:
0 point- wrong answer and wrong solution
1 point- correct answer only (i.e, without or wrong solution)
3 points- correct answer with partial answer
5 points- correct answer with complete solution
21. 5 Ways to Increase Objectivity
In Problem-Solving Scoring
1. SCORE BLIND
2. READ ONE QUESTION AT A TIME
3. AVOID HALO EFFECTS
4. PROVIDE A SCORING PLAN OR ATTRIBUTE
5. HAVE A POLICY ON IRRELEVANT ANSWERS, ERRORS