This study aims to determine students' mathematical understanding of the modulo arithmetic concept, the Faraid concept, and the modulo arithmetic application in Faraid calculations. This study employs a combination research method (mixed methods) with Sequential Explanatory Design model in which the quantitative data analysis is supported by qualitative data analysis. Data collection techniques consist of test questions and interviews for sixth semester students of the Mathematics Education Study Program, the Faculty of Tarbiyah, Universitas Ibrahimy, Situbondo, Indonesia. The initial data analysis consists of the Normality Test and the Paired Samples Test. The second data analysis entails research subject selection, data reduction, data presentation, and conclusion. The findings show that: (1) the average value of understanding the modulo arithmetic concept is 84,100, while the average value of understanding Faraid concept is 83,500; (2) the statistical results show the significance of Sig. (2-tailed) is 0.016<0.05 and 0.014<0.05; it can be concluded that there is a significant difference in the results of the mathematical concept understanding test between the concept of modulo arithmetic theory and the application of the modulo arithmetic concept to Faraid calculations, and the Faraid concept with the application of the modulo arithmetic concept to Faraid calculations; (3) the second analysis is the interview, which is divided into three categories: high, medium, and low. The result of the interview is students' understanding of mathematical concepts through the use of modulo arithmetic theory as a new alternative method of solving Faraid calculations.

1.
A. R.
Dluhawi
,
K.
Musyaddad
, and
B.
Badariah
, “
Application of the Think Talk Write (TTW) Cooperative Learning Model to Improve Concept Understanding of Integrated Science Materials
.”
UIN Sulthan Thaha Saifuddin jambi
,
2021
.
2.
D.
Novitasari
and
H.
Pujiastuti
, “
Analysis of Student Concept Understanding on Real Analysis Material Based on Bloom's Taxonomy Viewed from the Cognitive Realm
,”
MAJU Sci. J. Math. Educ.
,
7
(
2
)
2020
.
3.
L.
Aviyanti
, “
An Investigation Into Indonesian Pre-service Physics Teachers’ Scientific Thinking and Conceptual Understanding of Physics
.”
Flinders University, College of Education, Psychology and Social Work
.,
2020
.
4.
C.
Chairunnisa
,
R.
Apriliaswati
, and
E.
Rosnija
, “
An Analysis on Factors Influencing Students’ Low English Learning Achievement
,”
Untan's J. Educ. Learn.
,
6
(
3
),
1
10
(
2017
).
5.
A.
Armianti
,
D. N.
Wildan
,
R.
Robiansyah
,
O.
Trissiana
, and
R. C. I.
Prahmana
, “
Improving students’ mathematical understanding skills using GASING (Easy, Fun, and Fun) Mathematics learning
,”
Elem. J.
,
2
(
1
),
27
38
(
2016
).
6.
A.
Zuleika
and
N. P.
Desinthya
, “
Islamic Inheritance Law (Faraid) and Its Economic Implication
,”
Tazkia Islam. Financ. Bus. Rev.
,
8
(
1
),
97
118
(
2014
).
7.
M.
Tohir
, Modul Matematika Faraidh dan Zakat.
Situbondo
:
Program Studi Tadris Matematika Universitas Ibrahimy
,
2020
.
8.
M. S.
Masykuri
, “Faraidh Science Distribution of Inheritance Comparison of 4 Madzhab”
Santri Salaf Press
,
Pekalongan
,
2016
.
9.
A. A.
Ardhani
, “
Distribution of heritage To People Which made lost (mafqud) According to Islamic Law
,”
Int. J. Adv. Sci. Educ. Relig.
,
2
(
1
),
16
26
(
2019
).
10.
F. F.
Ula
,
R.
Meliyana
,
R.
Ilahiyah
, and
M.
Tohir
, “
Inheritance rights for children resulting from adultery in the study of mathematics and Islamic law
,”
Fokus J. Kaji. Keislam. dan Kemasyarakatan
,
5
(
2
),
197
220
(
2020
).
11.
J.
Junaidi
, “
The Basis of Judges ‘Considerations on Decisions of Different Religious Heritage in Islamic Law Perspective
,”
Conscienc. J. Shari'ah Soc. Stud.
,
20
(
2
),
277
286
(
2020
).
12.
R.
Munir
, “Discrete Mathematics.”
Informatika Bandung
,
Bandung
,
2010
.
13.
M.
Masnur
,
S.
Sukirwan
, and
I.
Asih
, “
Revealing Local Wisdom, Culture and Mathematics in the Cidikit Community Hanacaraka Activities
,”
Genta Mulia Sci. J. Educ.
,
12
(
1
), (
2021
).
14.
L.
Lestari
and
E.
Surya
, “
The effectiveness of realistic mathematics education approach on ability of students’ mathematical concept understanding
,”
Int. J. Sci. Basic Appl. Res.
,
34(1
),
91
100
(
2017
).
15.
L.
Ibrahim
and
S.
Bahri
, “
Application of modulo arithmetic to test validity and develop ISBN (International Standard Book Number) numbers
,”
Eig. Math. J.
,
2
(
2
),
1
6
(
2018
).
16.
F. F.
Nisa
,
D.
Muhtadi
, and
S.
Sukirwan
, “
Studi etnomatematika pada aktivitas urang sunda dalam menentukan pernikahan, pertanian dan mencari benda hilang
,”
JMETR (Journal Math. Educ. Teach. Res.
,
5
(
2
),
63
74
(
2019
).
17.
D. R.
Hertina
and
M. T. A. C.
Widiyanto
, “
International Standard of Serial Number (ISSN) Online or E-Issn Validity Test Using Modulo Arithmetic
,”
J. Kilat
,
8
(
1
),
37
47
(
2019
).
18.
B. E.
Susilo
and
S. A.
Widodo
, “
Study of Ethnomathematics and National Identity
,”
IndoMath Indones. Math. Educ.
,
1
(
2
),
121
128
(
2018
).
19.
Sugiyono
, Quantitative, Qualitative and R&D Research Methods.
Bandung
:
Alfabeta
,
2017
.
20.
J. W.
Creswell
, Educational research: Planning, conducting, and evaluating quantitative.
Prentice Hall Upper Saddle River
,
NJ
,
2002
.
21.
M.
Tohir
,
M.
Maswar
,
M.
Mukhlis
,
W.
Sardjono
, and
E.
Selviyanti
, “
Prospective teacher's expectation of students’ critical thinking process in solving mathematical problems based on Facione stages
,”
in Journal of Physics: Conference Series
,
2021
,
1832
(
1
),
12043
.
22.
D. R.
Anderson
, L.W. & Krathwohl, Foundational Framework for Learning, Teaching, and Assessment (Translation Agung Prihantoro).
New York
:
Addition Wesley Longman. (original book published in 2001
),
2010
.
23.
J.
Kilpatrick
,
J.
Swafford
, and
B.
Findell
, Adding it up: Helping children learn mathematics.
National Academy Press
,
2002
.
24.
S.
Suntusia
,
D.
Dafik
, and
H.
Hobri
, “
The Level of Critical Thinking Skill on Solving Two-Dimensional Arithmetics Problems Through Research-Based Learning
,”
Alifmatika J. Pendidik. Dan Pembelajaran Mat.
,
3
(
1
),
55
69
(
2021
).
25.
M.
Tohir
,
M.
Maswar
,
M.
Atikurrahman
,
S.
Saiful
, and
D. A. Rizki
Pradita
, “
Prospective teachers’ expectations of students’ mathematical thinking processes in solving problems
,”
Eur. J. Educ. Res.
,
9
(
4
),
1735
1748
(
2020
).
26.
M.
Tohir
,
Z.
Abidin
,
D.
Dafik
, and
H.
Hobri
, “
Students Creative Thinking Skills in Solving Two Dimensional Arithmetic Series Through Research-Based Learning
,”
J. Phys. Conf. Ser.
,
1008
(
1
),
012072
(
2018
).
27.
M.
Munawwarah
,
N.
Laili
, and
M.
Tohir
, “
Students’ critical thinking skills in solving math problems based on 21st century skills
,”
Alifmatika J. Pendidik. dan Pembelajaran Mat.
,
2
(
1
),
37
58
(
2020
).
28.
M.
Tohir
 et al, “
Building a caring community in problem based learning to improve students’ mathematical connection capabilities
,”
in Journal of Physics: Conference Series
,
2021
,
1839
(
1
),
12008
.
29.
M.
Tohir
,
Susanto
,
Hobri
,
Suharto
, and
Dafik
, “
Students’ Creative Thinking Skills in Solving Mathematics Olympiad Problems Based on Problem-Solving Polya and Krulik-Rudnick Model
,”
Adv. Sci. Lett.
,
24
(
11
),
8361
8364
(
2018
).
30.
H.
Muttaqin
,
S.
Susanto
,
H.
Hobri
, and
M.
Tohir
, “
Students’ creative thinking skills in solving mathematics higher order thinking skills (HOTS) problems based on online trading arithmetic
,”
in Journal of Physics: Conference Series
,
2021
,
1832
(
1
),
12036
.
31.
M.
Tohir
, “
Students' Creative Thinking Skills in Solving Mathematics Olympiad Problems Based on Metacognition Levels
,”
Alifmatika J. Pendidik. dan Pembelajaran Mat.
,
1
(
1
),
1
14
(
2019
).
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