To cite this article:
Mardiyah, I., Suhito, & Safaatullah, M. F. (2018). Analysis of mathematical reasoning ability of junior high school
students of grade VII viewed from cognitive style on problem based learning with mind mapping. Unnes Journal of
Mathematics Education, 7(2), 122-128. doi: 10.15294/ujme.v7i2.24883
UJME 7 (2) 2018: 122-128
Unnes Journal of Mathematics Education
https://journal.unnes.ac.id/sju/index.php/ujme/
ISSN: 2252-6927 (print); 2460-5840 (online)
Analysis of mathematical reasoning ability of junior high
school students of grade VII viewed from cognitive style on
problem based learning with mind mapping
Istianatun Mardiyah
a,*
, Suhito
a
, Muh. Fajar Safa’atullah
a
a
Universitas Negeri Semarang, D7 Building First Floor, Sekaran Campus Gunungpati, Semarang 50229; Indonesia
* E-mail address: istianatunmardiyah@gmail.com
A R T I C L E I N F O
Article history:
Received 15 November 2018
Received in revised form 3
August 2018
Accepted 12 August 2018
Keywords:
Mathematical Reasoning
Ability;
Cognitive Style;
Problem Based Learning;
Mind Mapping.
Abstract
The method used in this research is a mixed method with the research design that is
explanatory sequential design. The result of this research are (1) Mathematical
reasoning ability of grade VII students after being given learning by using PBL with
mind mapping reached minimal completeness criteria; (2) the description of students'
mathematical reasoning ability with independent field cognitive style were capable
to present mathematical statements, propose conjecture, do mathematical
manipulation, give reason to solution, and draw conclusion; and (3) the description
of students' mathematical reasoning ability with field-dependent cognitive style were
capable to present mathematical statements, yet incapable to propose conjecture,
FDK students were less able to manipulate mathematics, while FDL students were
incapable to perform mathematical manipulation, provide reason for solution, and
draw conclusions.
© 2018 Published by Mathematics Department, Universitas Negeri Semarang
1. Introduction
Mathematics is a universal science which is useful
for human life. It underlies the development of
modern technology, and has an important role in
various disciplines and advances the human mind.
Rapid development in the field of information and
communication technology today is based on the
development of mathematics in the field of number
theory, algebra, analysis, probability theory, and
discrete mathematics. To master and create
technology in the future, it takes mastery and
understanding of mathematics strong from early
(Kemdikbud, 2014). One of the goals of
mathematics listed in Permendikbud Number 58
Year 2014 is to use reasoning in nature,
manipulate mathematics both in simplification,
and analyze the existing components in problem
solving in the context of mathematics and others.
In line with that, the aspects assessed in the
mathematical assessment include comprehension,
procedure, representation and interpretation,
reasoning, problem solving and attitude
(Kemdikbud, 2014). Based on the description,
reasoning ability is one of the capabilities students
must have in the mathematics learning process.
The term of reasoning is described by Copi (in
Triastuti et al., 2013) as a thought process to draw
truth-based inferences (premises) that have been
considered as true. Again, Mueller & Maher (in
Agoestanto et al., 2018) state that reasoning is a
process that allows to review and rebuild previous
knowledge in order to build new arguments. One
of the mathematical abilities included in high-level
mathematical thinking is the ability of
mathematical reasoning (Adhi & Kusumah, 2017).
The ability of mathematical reasoning is the ability
to think or understand the problems of
mathematics logically in order to obtain
completion, sorting out what is important and not
important in solving a problem that, and explain,
or give the reasons for the settlement of a problem
(Marsa et al., 2014).
The indicator of mathematical reasoning ability
formulated in technical explanation of Dirjen
Dikdasmen Regulation No.506/C/PP/2004 cited by
Ruslan & Santoso (2013) are (1) presenting
mathematical statement orally, written, drawing,
and diagrams; (2) filling a conjecture; (3)