This study aims to improve students' mind habits in constructing mathematical proof through DNR-Model. DNR-Model consists of three main stages: Duality (how to understand and how to think), necessity, and repeated reasoning. This research is a quantitative study with a quasi-experimental design. The samples were then second-year students of the mathematics education department; the Muhammadiyah University of Tangerang consists of 60 students who were divided into two class groups. Two classes were selected as an experimental class that provides learning models for DNR-Model, and one other class as a control class that subjects are given conventional learning. The results showed that there aren't differences in the increase in the habits of minds of students in constructing mathematical proof based on MPK (Mathematical Prior Knowledge) levels of both high, medium, low, and overall learning based on DNR-Model and conventional learning. The experimental group's average n-gain habits of mind are 0.27, or the lower category than the average n-gain of the control group is 0.28 or the low category. The low Habits of Mind of students has less influence on the ability to construct mathematical proofs.

1.
A. L.
Costa
and
B.
Kallick
, Learning and Leading with Habits of Mind 16 Essential Characteristics for Students (
Association for Supervision and Curriculum Development
,
Washington D.C
.,
2008
).
2.
A.
Mujib
, "Analysis of student difficulties in constructing mathematical proof on discrete mathematics course," In Proceeding of International Seminar on Mathematics, Science, and Computer Science Education (
Faculty of Mathematics and Science Education, Universitas Pendidikan Indonesia
,
2015
), pp.
49
55
.
3.
R. C.
Moore
,
Educ. Stud. Math.
27
,
249
(
1994
).
4.
A.
Mujib
,
Darhim
, and
B.G.
Kartasasmita
,
Int. J. Educ. Res.
4
,
287
(
2016
).
5.
A.
Mujib
, “
Pengembangan Kemampuan Pembuktian dalam Matematika Diskrit Menggunakan Pengajaran Berbasis DNR
,” in
Proceeding Seminar Nasional Matematika dan Pendidikan Matematika 2016
(
FKIP Universitas Swadaya Gunung Djati
,
Cirebon
,
2016
), pp.
191
199
.
6.
K.
Weber
,
Educ. Stud. Math.
48
,
101
(
2001
).
7.
A.
Hendroanto
,
A.
Istiandaru
,
N.
Syakrina
,
F.
Setyawan
,
R. C. I.
Prahmana
, and
A. S. E.
Hidayat
,
Int. J. Emerg. Math. Educ.
2
,
129
(
2018
).
8.
R.
Oktaviyanthi
,
T.
Herman
, and
J. A.
Dahlan
,
J. Math. Educ.
9
,
195
(
2018
).
9.
K.
Pfeiffer
, “
The Role of proof validation in students’ mathematical learning
,” in
Proceeding of the British Society for Research into Learning Mathematics
(
BSRLM
,
London
,
2009
), pp.
548
550
.
10.
B.
Schwarz
and
G.
Kaiser
,
"Professional competence of future mathematics teachers on argumentation and proof and how to evaluate it
," in
Proceeding ICMI Study 19 Conference Proof Proving in Mathematics Education
(
The Department of Mathematics, National Taiwan Normal University
,
Taipei
,
2009
), pp.
190
205
.
11.
M.
Shahrill
,
R. I. I.
Putri
,
Zulkardi
, and
R. C. I.
Prahmana
,
"Processes involved in solving mathematical problems
," in
International Conference on Electrical, Electronics, Materials and Applied Science (ICEEMAS), AIP Conference Proceeding
1952
,
020019
(
2018
).
12.
K.
Weber
,
Math. Think. Learn.
12
,
306
(
2010
).
13.
A.
Selden
and
J.
Selden
,
J. Res. Math. Educ.
34
,
4
(
2003
).
14.
M.A.
Nuha
,
S.B.
Waluya
, and
I.
Junaedi
,
Int. J. Instr.
11
,
527
(
2018
).
16.
G.
Harel
,
Theor. Math. Educ.
343
(
2010
).
17.
G.
Harel
, "Intellectual Need," In Vital Directions for Research in Mathematics Education, edited by
K.
Leatham
(
Springer
,
New York
,
2014
), pp.
1
207
.
18.
H.
McGlothlin
and
M.
Killen
,
Eur. J. Soc. Psychol. Eur.
40
,
625
(
2010
).
19.
J.
Clear
,
HuffPost The New York Time
(
2014
), available at https://www.huffpost.com/entry/forming-new-habits_b_5104807
20.
A.S.
López
,
Law Policy
4
,
37
(
2006
).
21.
S.
Altan
,
J. F.
Lane
, and
E.
Dottin
,
J. Teach. Educ.
70
,
169
(
2019
).
22.
P. V.
Prasad
,
Primus Problems Resour
.
Issues Math. Undergrad. Stud.
30
,
908
(
2020
).
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