Considering the importance of critical thinking development and the research scarcity of students’ understanding of mathematics education in the broader context of higher thinking skills, we have conducted a research to examine how students learn derivative. The basic of derivative mastery is very important in life applications, to avoid any mistake in decision making. Analysis of students’ understanding in this research is based on Bloom Taxonomy Level. Using level instrument of Lower Order Thinking Skill (LOTS) or Higher Order Thinking Skill (HOTS) regarding the derivation of irrational functions, it can be known strategically the students’ ability to understand derivative. The analysis resulted from 22 high school students shown none of students’ understanding had reached the HOTS level. The research result can be used to formulate a sequential technique for the learning process to obtain students’ understanding up to the HOTS level.

1.
Yasa
GK
,
Karatas I. Effects of the Instruction with Mathematical Modeling on Pre-service Mathematics Teachers’ Mathematical Modeling Performance
.
Australian Journal of Teacher Education.
2018
;
43
(
8
):
1
14
.
2.
Rahardi
R.
Valsiner’s Zone Theory As The Teachers’ Zone Of Proximal Development
, in
Building the Nation Character through Humanistic Mathematics Education-2011.
Proceedings International Seminar and the Fourth National Conference on Mathematics Education. Yogyakarta: Department of Mathematics Education, Yogyakarta State University
,
2011
;
25
36
.
3.
Stoltz
PG
. Adversity Quotient Mengubah Hambatan Menjadi Peluang.
Jakarta
:
Grasindo
;
2000
.
4.
Permendikbud RI No. 24. Essence Competencies and Basic Competencies of Lessons in the 2013 Curriculum in Primary Education and Secondary Education
;
2016
.
5.
Widana
IW
. Modul Penyusunan Soal Higher Order Thinking Skills (HOTS).
Jakarta
:
Direktorat Pembinaan SMA Direktorat Jenderal Pendidikan Dasar dan Menengah Departemen Pendidikan dan Kebudayaan
;
2017
.
6.
Anderson
LW
,
Krathwohl
DR
. A Taxonomy for Learning, Teaching, and Assesing: A Revision of Bloom’s Taxonomy of Educational Objectives.
New York
:
Addison Wesley Longman, Inc
.;
2001
.
7.
Maher
D
,
Schuck
S
,
Perry
R.
Investigating Knowledge Exchange amongst School Teachers, University Teacher Educators and Industry Partners
.
Australian Journal of Teacher Education.
2017
:
42
(
3
):
73
90
.
8.
Rahardi
R.
,
Kusumasari
V.
,
Budiono
E.
 Student s Thinking of Function Derivatives Based on Bloom s Taxonomy.
Proceedings of the National Seminar on Mathematics and Learning.
Malang
:
Faculty of Math and Science, Malang State University
,
2019
;
124
-
131
.
9.
Hahl
K
,
Mikulec
E.
Student Reflections on Teacher Identity Development in a Year-long Secondary Teacher Preparation Program
.
Australian Journal of Teacher Education.
2018
;
43
(
12
),
42
58
.
10.
Swokowsky
EW
.
Calculus with Analytic Geometry
.
Boston
:
Duxbury Press
;
1983
.
11.
Brown
J
,
Kim S.
Mathematics
:
Identifying and Addressing Student Error, Case Study Unit
, iriscenter.com;
2016
.
12.
Nolting
PD
.
Math study skills workbook
, fourth Edition.
Canada
:
Nelson Education, Ldt
.;
2012
.
13.
Aizikovitsh-Udi
E.
,
Cheng
D.
Developing Critical Thinking Skills from Dispositions to Abilities: Mathematics Education from Early Childhood to High School
.
Creative Education.
2015
;
6
:
455
462
.
14.
Rahardi
R.
,
Hasanah
D.
Analysis of students skills on derivative of a function
.
AIP Conference Proceedings
2215
.
2020
;
0060023
.
15.
Kazak
S.
,
Wigerif
P.
,
Pujita
T.
The Importance of Dialogic Processes to Conceptual Development in Mathematics
.
Educ Stud Math.
2015
;
90
:
105
120
.
16.
Musriroh
RZ
,
Hidayanto
E.
,
Rahardi
R.
 Penalaran Visualisasi Spasial Matematis Siswa dalam Menyelesaikan Masalah Geometri Kelas VIII.
Proceedings of the National Seminar on Mathematics and Learning
.
Malang
:
Faculty of Math and Science, Malang State University
,
2019
;
164
172
.
17.
Silver
EA
.
Fostering Creativity through Instruction Rich in Mathematical Problem Solving and Problem Posing ZDM
.
1994
;
97
(
3
):
75
80
.
This content is only available via PDF.
You do not currently have access to this content.