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HOTS-BASED QUESTIONS PREPARATION STRATEGY ON SENIOR
HIGH SCHOOL'S LINEAR PROGRAMME
Agnes Yulitya, Mia Rizki Idaroyanni Siregar, Nurul Hidayah Sembiring
*
State University of Medan, Indonesia
*
nurulhidayahsembiring@gmail.com
PAPER INFO ABSTRACT
Received:
November 2021
Revised:
December 2021
Approved:
December 2021
Background: One of the changes in the education assessment system in
Indonesia today is the implementation of HOTs (Higher Order Thinking
Skills) based assessments. The application of HOTs-based assessment aims
to make the learning processe specially mathematics able to encourage
students to develop creative thinking skills.
Aim: In this article, it examines conceptually with the aim of providing
educators with knowledge about the concepts, characteristics, and strategies
for preparing HOTs questions.
Method: This research includes qualitative descriptive research.
Findings: The strategies for compiling HOTs questions are (1) Analyzing the
basic competencies that will be made about HOTs; (2) Arranging a grid of
questions; (3) Using interesting problems in everyday life; (4) Writing
questions; and (5) Make assessment guide lines and answer keys.
KEYWORDS
Preparation of questions, HOTs, learning mathematics
INTRODUCTION
The development of science and technology today requires humans to have various
abilities to face the future including 21
st
century skills consisting of critical thinking, creative,
innovation, communication and collaboration. The 2013 curriculum is structured to improve
21
st
century skills requiring teachers to play an important role in training students to develop
higher-order thinking skills. Students are expected not only to know and understand a
knowledge but also to be able to analyze, evaluate and even create something from the use of
the knowledge they have.
To have this ability, the teacher can train students by providing assessments in the form of
different test questions and demanding students to be more creative in applying the knowledge
they have (Asrul & Rosnita, 2015). In accordance with Law Number 14 of 2005, teachers have the
obligation to plan lessons, implement the learning process and assess and evaluate learning
outcomes. Educational evaluation is the process of determining the quality of education in
order to know the quality or results. The type of test evaluation instrument is the technique
most often used to evaluate student learning outcomes. There are several types of tests
including (1) Achievement test, (2) Proficiency test, (3) Aptitude test, (4) Diagnostic test, and
(5) Placement test.
Mathematics is a science based on abstract concepts so that the provision of this subject
matter can be done by linking the material to everyday life (Dinni, 2018). This is done so that
students are able to find concepts from experience in the surrounding
environment. Mathematics is not only oriented to the mastery of concepts or facts but rather to
the ability to think creatively and apply the basic knowledge it has to solve a problem. The
problem in question is certainly not in the form of questions that are usually presented but also
includes questions or problems that are different from questions in general. The ability of
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184 Interdisciplinary Social Studies, 1(3), Dec 2021
students to examine a problem and relate it to the concepts they already have is what is called
higher order thinking skills (Effendi, 2015).
HOTs-based questions have been tested in the national exam since 2017 and their
composition is always added to the national exam the following year. However, currently the
teacher has not developed an assessment in the form of a test that makes students practice
higher-order thinking. Therefore, this study is expected to provide a description of concepts
and strategies for compiling HOTs-based questions in mathematics learning in elementary
schools in particular so that they can be used as teacher reference materials in teaching
mathematics (Wahyuni, 2017).
Definition of HOTs (Higher Order Thinking Skills)
Higher order thinking skills are interpreted in various different perspectives according to
experts. Higher Order Thinking Skills (HOTs) were first formulated by the author from
Dusquance University, namely Susan M Brookhart in her book entitled "How to Assess
Higher-order Thinking Skills in Your Classroom" where she defined that this model as a
method for critical thinking, knowledge transfer and problem solving.
According to Lewis & Smith (in Hidayati, 2017) that: “Higher order thinking occurs when
a person takes new information and information stored in memory and interrelates and/ or
rearranges and extends this information to achieve a purpose or find possible answers in
perplexing situations". This opinion explains that higher order thinking occurs when new
information is received and is interrelated with previous information or expands existing
information in order to formulate answers in certain confusing situations.
Meanwhile, according to Brookhart (in Hidayati, 2017) states that higher order thinking
skills are classified into 3 categories, namely the form of transfer of learning outcomes, critical
thinking and problem solving. Gunawan (in Fanani, 2018) explains HOTs or higher-order
thinking skills as a thinking process that requires students to process existing information and
can produce new meanings and implications in a certain way.
From some of these opinions, it can be concluded that HOTs or high-level thinking skills
are deep thinking processes about processing information in dealing with and solving complex
problems and involve analyzing, evaluating and creating skills. To measure higher-order
thinking skills which are abilities that are not just remembering or referring without doing
analysis, an instrument question in the form of HOTs-based questions can be used (Ariyana &
Bestary, 2018). From this explanation, it can be seen that students' thinking skills can be
developed through the provision of challenging HOTs concepts.
HOTs Characteristics
The characteristics of HOTs-based questions are (1) being able to measure higher-order
thinking skills, (2) using interesting problems or problems in everyday life, and (3) using
various types of questions. This is described in the following description.
1) Measuring the level of HOTs: These abilities include problem solving, critical thinking,
creative thinking, decision making, and reasoning abilities.
2) Using problems in everyday life (Contextual): HOTs-based assessment is an
assessment that involves situations in everyday life and students are expected to apply
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185 Interdisciplinary Social Studies, 1(3), Dec 2021
the knowledge or basic concepts that have been obtained to solve the problem. The real
problems presented include health, economic, environmental, universal funds and the
role of technology in life. The definition concerns students' skills in correlating,
applying and integrating science concepts to solve problems related to everyday life
problems.
3) The use of questions in various forms: The use of questions with various forms has the
aim of providing information about students' abilities as test takers in detail, detail and
comprehensively
Cognitive Level Dimension
Dimensions of cognitive processes according to Bloom consist of six aspects, namely
remembering, understanding, applying, analyzing, evaluating and creating or creating. The
first and second aspects of remembering and understanding are called low-level thinking
skills. While the other aspect is called higher order thinking ability. Furthermore, Bloom
distinguishes and groups the levels of knowledge level dimensions starting from low or
memorizing levels, medium levels and high levels, namely creating or creating. The knowledge
level dimension is divided into 6 phases which include (1) remembering, (2) understanding,
(3) applying, (4) analyzing, (5) evaluating, and (6) creating. The levels of cognitive processes
are often used to determine learning objectives, known as cognitive levels C1, C2, C3, C4, C5,
and C6 (Wachyudi et al., 2015).
The dimensions of the cognitive level are classified into 3 as explained by Puspendik (in
Fanani, 2018) that the classification consists of (1) level 1 which is the level of understanding
of a knowledge, (2) level 2 which is the application of the acquired knowledge, and (3) level 3
which is the level of reasoning. Each level is described as follows.
1) Level 1 knowledge dimension: Dimensions of knowledge at this level include
knowledge at the level of thinking C1 (remembering) and C2
(understanding). Instrument questions at this level aim to determine students'
understanding of facts or concepts. Operational verbs that are usually used in preparing
questions are writing, mentioning, counting, registering, etc. This type of question on
the level 1 dimension is not a HOTs question.
2) Knowledge dimension level 2: The dimension of knowledge at this level is the process
of applying the facts or concepts that have been obtained. This level includes the level
of knowledge on aspects of C3 (application). Operational verbs that are widely used at
this level are use, apply, prove and so on. However, this type of question at this level is
also not a form of HOTs.
3) Knowledge dimension level 3: The dimensions of knowledge at this level include
thinking processes at the levels of C4 (analysis), C5 (evaluation) and C6 (creating). At
this level students must be able to apply the knowledge, facts or concepts they already
have to answer the questions presented. Students must also have high enough reasoning
and logical power to be able to solve problems related to everyday life. Therefore, the
types of questions at this level of knowledge dimension are HOTs or high - level
thinking questions.
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186 Interdisciplinary Social Studies, 1(3), Dec 2021
Strategy for Formulating HOTs
The strategy for compiling HOTs-based questions includes several steps, namely (1)
analyzing basic competencies, (2) making question grids, (3) using problems related to
everyday life, (4) compiling items and (5) making scoring guidelines.
METHOD
This research includes qualitative descriptive research. Qualitative research is research that
is descriptive and tends to use analysis. Process and meaning are highlighted in qualitative
research. The theoretical basis is used as a guide so that the research focus is in accordance
with the facts on the ground. This study was conducted to analyze and describe the strategy for
preparing HOTs questions on linear programming material for class XI students. The questions
given have been validated by 2 lecturers and 1 mathematics teacher.
RESULTS AND DISCUSSION
The steps for compiling HOTs-based questions have the same steps as compiling the usual
questions (Wahidmurni, 2018). The difference is in the use of stimuli in the form of presenting
problems in everyday life. HOTs-based questions require students to think about how to apply
the facts or concepts that have been mastered. Meanwhile, questions that are not based on
HOTs tend to be simple questions that only measure students' ability to remember or
understand a concept and do not present contextual problems related to everyday life. To write
HOTS items, the question writer is required to be able to determine the behavior to be measured
and formulate the material that will be used as the basis for the question (Stimulus) in a certain
context in accordance with the expected behavior. In addition, the description of the material
to be asked (Which requires high reasoning) is not always available in the textbook. Therefore,
in writing HOTS questions, mastery of teaching materials is needed, skills in writing questions
(Construction questions), and teacher creativity in choosing question stimuli according to the
situation and conditions of the area around the education unit.
The strategy for compiling HOTs-based questions includes several steps, namely (1)
analyzing basic competencies, (2) making question grids, (3) using problems related to
everyday life, (4) compiling items and (5) making questions. scoring guidelines (Fanani,
2018:71). All of these steps are described as follows.
Conduct An Analysis of Basic Competencies (KD) that Can be Made about HOTs
Questions in any form are made to measure the achievement of the competency formulation
formulated in the curriculum text of a subject. Because KD is the last competency formulation
in the curriculum text, educators must analyze KD that will be made about HOTs, and ensure
that the Competency Achievement Indicators (GPA) developed have shown evidence of
achieving the KD. Teachers can study and examine KD which can be compiled into HOTs
questions, because not all KD can be made into HOTs questions (Widana, 2017). This can be
carried out independently or through teacher deliberation forums.
Compiling a grid of questions
The grid is a matrix that contains the criteria needed in compiling the items. The
preparation of this grid aims to make it easier for educators to write HOTs-based
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187 Interdisciplinary Social Studies, 1(3), Dec 2021
questions. Furthermore, it is explained that a good grid must have criteria including (1)
reflecting the content of the curriculum, (2) having clear and easy-to-understand content
components, and (3) being able to write down questions from each of the available
indicators. The format of the question grid is divided into 2 parts, namely the identity section
and the matrix section (Wulan & Rusdiana, 2014). The matrix part is written in the form of a
column while the identity part is written at the top of the matrix while the identity part includes
level/school, subject, academic year, time allocation and types of questions while the matrix
part is in the form of a column consisting of at least KD, indicators, materials, types of
questions, and the number of questions (Wulan & Rusdiana, 2014). An example of a question
writing grid is presented in the following table. An example of a question writing grid is
presented in the following table.
Table 1. Examples of Question Grid Formats
Math Daily Quiz
Education units
: Senior High School
Class : XI
Subjects
: Mathematics
Time : 30 Minutes
School year
: 2020/2021
Question Type: Description
KD
Subject
Matter
Indicator
Type
Cog.
Level
No.
3.2 Explaining
the program
linear 2
variables and
method solution
using
conceptual
problems
3.2.1 Identifying
equations and
the linear inequality
of 2 variables.
3.2.2 Identify
objective function
of the constraints
on a linear
programming
problem.
3.2.3 Drawing
up mathematical
models of linear
Programming
Problem.
3.2.4 Solving the
mathematical
model of
the problem which
related with
Linear
Program
Presented a
story question
related to
daily life,
where
students are
asked to seek
maximum
profit
Description
C5
1
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188 Interdisciplinary Social Studies, 1(3), Dec 2021
a linear inequality
of two variables.
3.2.5 Critical in
dealing with
problems day-
to- day which
related to system
of equations and
linear inequalities
of 2 variables.
3.2.6Analyze and
conclude
the concept of
a system of
equations and line
ar inequalities of
2 variables.
3.2.7 Applying
a system
of linear equations
and inequalities 2
variables
in solving real
problem.
Using problems that are interesting or related to everyday life
The problems presented in the form of problems in everyday life are interesting and can
motivate students to read in more detail the questions. Teachers can use the school environment
or the local environment as a contextual stimulus to be able to attract students' interest in
solving problems.
Writing questions
The question paper can be written in the form of multiple choice or description according
to the needs of the teacher where the writing must be adjusted to the rules of writing HOTs
questions. The number of items and the form of the questions are adjusted to the grid that has
been prepared. The rules for compiling HOTS questions are in general the same as compiling
questions in general, the difference is the material aspect and the use of operational verbs that
must be adapted to verbs at cognitive levels C4, C5, and C6. The items that have been arranged
are written on a question card. An example of a question card format is presented in the
following table.
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189 Interdisciplinary Social Studies, 1(3), Dec 2021
Table 2. Sample of Question Card
Subject:
Class:
Semester:
Question Card No. 1
Mathematics
XI
2
Basic competencies
3.2 Describe a two-variable linear program and
its solution method using conceptual problems.
Material
Linear Program
Question Indicator
Presented a story problem related to everyday
life, where students are asked to seek
maximum profit.
Cognitive Level
C5
About
1. Mr. Chandra owns a home industry of art
tools that produces 2 types of products,
namely art tools A and B. The two types of art
tools are produced by cutting machines and
sanding machines. To produce art tool A, it
takes 2 hours of work on a cutting machine
and 1 hour on a sanding machine. To produce
art tool B, it takes 2 hours of work on a cutting
machine and 3 hours on a sanding
machine. Each type of machine works no
more than 12 hours a day. Mr. Chandra
estimates that the profit from the sale of each
unit of art tool A is Rp. 175,000.00 and art
tools B in the amount of Rp. 215,000.00. If
Mr. Chandra has 3 units of cutting machines
and 3 units of sanding machines, then the
maximum profit is ....
Making assessment guidelines and answer keys
The questions that have been written by the teacher should be equipped with answer keys
and assessment guidelines (Widana, 2017). The making of assessment guidelines is used to
measure the results of the work from the form of description questions, while to assess the
results of the work from questions in the form of multiple choice, complex multiple choice or
short descriptions, it is necessary to make an answer key. An example of an answer key table
format and an assessment guideline is presented in the following table.
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190 Interdisciplinary Social Studies, 1(3), Dec 2021
Table 3. Examples of Assessment Guidelines and Answer Keys
No.
Answer Description
Score
1.
Information: Producing art tool A requires 2 hours of work
on a cutting machine and 1 hour on a sanding machine. To
produce art tool B, it takes 2 hours of work on a cutting
machine and 3 hours on a sanding machine. Each type
of machine works no more than 12 hours a day. Mr.
Chandra estimates that the profit from the sale of each unit
of art tool A is Rp. 175,000.00 and art tools B in the amount
of Rp. 215,000.00.
Question: If Mr. Chandra has 3 machines cutter and 3 units
of sanding machine, then the maximum profit is...
Answer: Let x and y be the number of art tools A and B
produced, respectively. The objective function is f(x,y) =
175,000x + 215,000y.
The following table can be used to create a system of linear
inequalities.
The system of linear inequalities that represents the above
case is
or simplified to
Next, determine the solution area and the corner points.
2
8
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191 Interdisciplinary Social Studies, 1(3), Dec 2021
From the picture, there are 4 corner points, namely points
A, B, C, and D. Corner point C is the second intersection
point line and coordinates could search by using method of
settlement SPLDV.
x+3y=12
x+y=6
2y=6
y=3
Substitute and get x=3. Now, we have obtained 4 corner
points and their coordinates. Test the value on the objective
function.
The maximum profit that can be achieved per day from the
use of one unit of cutting machine and sanding machine is
Rp. 1,170,000.00. Because each machine has three
units, the maximum profit will be 3 times,
namely Rp. 3,510,000.00.
Total Score
10
CONCLUSION
From the results obtained in the discussion, it can be concluded that HOTs are a deep
thinking process about processing information in completing and solving complex
problems. The dimensions of knowledge on HOTs include thinking processes at the levels of
C4 (analysis), C5 (evaluation), and C6 (creating). The characteristics of HOTs-based questions
are (1) measuring higher-order thinking skills, (2) using problems in everyday life, and (3)
using various types of questions. The strategy for compiling HOTs questions consists of several
steps, namely (1) conducting an analysis of the basic competencies that will be made about
HOTs, (2) compiling a grid of questions, (3) using interesting problems in everyday life, (4)
writing questions, and (5) making assessment guidelines and answer keys.
HOTs-Based Questions Preparation Strategy on Senior High School's Linear Programme
192 Interdisciplinary Social Studies, 1(3), Dec 2021
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