ISC Paper Template in A4 (V1) Journal of Education, Teaching, and Learning Volume 7 Number 1 March 2022. Page 89-95 p-ISSN: 2477-5924 e-ISSN: 2477-8478 89 Journal of Education, Teaching, and Learning is licensed under A Creative Commons Attribution-NonCommercial 4.0 International License. EXPLORATION OF MATHEMATICS CONCEPTS IN QS AN-NUR Nadya Febriani Meldi 1) , Sugiatno 2) , Asep Nursangaji 3) , Dede Suratman 4) , Zubaidah 5) , Hamdani 6) 1) University of Tanjungpura, Pontianak, Indonesia E-mail: nadyameldi@student.untan.ac.id 2) University of Tanjungpura, Pontianak, Indonesia E-mail: sugiatno@fkip.untan.ac.id 3) University of Tanjungpura, Pontianak, Indonesia E-mail: asep.nursangaji@fkip.untan.ac.id 4) University of Tanjungpura, Pontianak, Indonesia E-mail: dede.suratman@fkip.untan.ac.id 5) University of Tanjungpura, Pontianak, Indonesia E-mail: zubaidah.r@fkip.untan.ac.id 6) University of Tanjungpura, Pontianak, Indonesia E-mail: hamdani.mikraj@fkip.untan.ac.id Abstract. This article reveals exploration of mathematical models and concepts in QS An-Nur: 24:26. This research stems from the ineffectiveness of learning mathematics because the process does not begin with students' initial understanding. In fact, according to NCTM, teaching and learning will be effective if it starts from what students know. In Islamic school students, initial knowledge can be extracted from the Qur'an because the Qur'an is a learning tool in believing in Islam, so it is recognized that the verses of the Qur'an are contained in the cognitive structure of students, which can facilitate learning. Unfortunately, the sources of learning mathematics and the Qur'an used by Islamic schools have not covered all topics of learning mathematics, so to complete it, it is necessary to model the verses of the Qur'an related to mathematics. This research was conducted to obtain mathematical modeling and concepts at the high school/equivalent level using the Miles and Huberman analysis method combined with Blum and Leib modeling and Abdussakir theory and Pseudo concrete. Based on the combination of analytical theory, the modeling and mathematical concepts contained are relations, surjective and bijective functions, inverse functions, and reflections. Keywords: Exploration, Mathematical Concepts, QS An-Nur:24:26 I. INTRODUCTION Muslim mathematics education researchers axiomatically admit that the Qur'an is the primary reference source for the development of mathematical concepts (Khalifa, 1973; Al- Faqih, 2017; Abdussakir, 2014). It is shown from several studies that explore the Qur'an so that mathematical ideas are achieved in it be it a mathematical concept or model. Godino (a mathematical concept is an abstract idea that groups an event according to examples and not examples. Resmawan (2017:8) mathematical models are the result of mathematical constructions designed to understand phenomena in certain formal languages. Among them, Yulista (2018, p.85-86) explores Mathematical Interconnection in the Angle and Huda Materials (2019, p.51-52) regarding the Exploration of Al-Qur'an Based High School Mathematics Values. On the other hand, the Muslim academic community such as Abdussakir 2014 Basya 2004 and Syamaun 2020 became a portrait of the Mathematics of the Qur'an from the printed book of their thoughts. Attracts attention, in his work (Syamaun, 2020, p.35-41) written in Q.S An-Nur:24:26 contains the concept of algebraic forms. However, remember from the research study of the exploration of two different researchers who focused on QS Al-Muzzammil Verse 20 produced a different mathematical concept, namely Pebriansyah (2020, p. 63-64), who discovered the concept of number patterns while the concept of the division was discovered by Cahya & Ahmadi (2020, p.80 -81). Implying, essentially, a verse can give birth to more than one mathematical idea. Besides that, it explicitly makes us aware of the breadth of knowledge from Allah Subhanahu Waa Ta'ala, which we should study in-depth in the Qur'an and is strengthened in QS Al-Kahf: 18:109, Thus, in QS An-Nur: 24:26, it is felt that it can give birth to new mathematical http://creativecommons.org/licenses/by-nc/4.0/ mailto:nadyameldi@student.untan.ac.id mailto:sugiatno@fkip.untan.ac.id mailto:asep.nursangaji@fkip.untan.ac.id mailto:dede.suratman@fkip.untan.ac.id mailto:zubaidah.r@fkip.untan.ac.id mailto:hamdani.mikraj@fkip.untan.ac.id Journal of Education, Teaching, and Learning Volume 7 Number 1 March 2022. Page 89-95 p-ISSN: 2477-5924 e-ISSN: 2477-8478 90 ideas that have not been revealed to answer the needs of the development of science in the world of education. Indonesia is one of the countries where the population is predominantly Muslim. Focusing on knowing the world of religious-based education in Indonesia to date, understanding and practicing the Qur'an has become an important icon, considering that the Qur'an is a means of learning to believe in Islam so that the Qur'an is assumed to be contained in the cognitive structure. Students. When students learn based on their scientific cognitive structure, they will receive knowledge comprehensively, in line with the influence of initial ability on mathematics learning outcomes (Lestari, 2017, p.83-84). In addition, paying attention to the Word of Allah Subhanahu Wa Ta'ala in Q.S Sad: 38: 29 and Q.S Al-Qamar: 54:17 becomes a call to education implementers in teaching and learning, including mathematics, which implies that the teaching and learning process will be more straightforward if you move from the Qur'an. The ease of learning has the potential to improve students' mathematical abilities. Mathematics becomes a nightmare for many students and becomes the first subject that is considered difficult to learn (Alper: 2011), reinforced by information obtained from the website (Kemendikbud.go.id) stated that the results of the 2018 PISA study released by the OECD stated that mathematics ability in Indonesia was ranked 72 out of 78 countries, indicating that students' initial understanding is not the central aspect that is considered in starting the teaching and learning process, resulting in ineffectiveness in the teaching and learning process of mathematics in Indonesia (Anonymous: 2018). Based on teaching principles According to the National Council of Teacher Mathematics [NCTM] (2000) revealed that effective mathematics teaching requires an understanding of what students know and need to learn. However, this principle is not widely realized. This is supported by the results of interviews with the Mathematics Teacher of SMAIT Al-Fityan Kuburaya stated, The motivation to obtain mathematical concepts from the verses of the Qur'an, which can be used as learning resources for Islamic school students, is getting stronger. The development of mathematical concepts that are born from the Qur'an will be realized in one verse that attracts attention, namely in QS An-Nur: 24:26. The previous study found the concept of algebra. However, a brief study has seen from the snippet of the translation of Q.S An-Nur: 24:26 "good women for good men and good men for good women (too)...." indicates a mathematical concept that has not been revealed. This study was conducted by combining the analysis technique of the Miles and Huberman model with the mathematical modeling of Blum and Leib, moving on from Pebriansyah's (2020) research which combines two analytical theories. On the other hand,in finding number structure or numerical analysis with mathematical calculations from the verse of the Qur'an, according to Yusufa (2014:350) uses mathematical calculation methods (numeric, alphabetical letters, and summation between digits. Mathematical calculations can be aimed at letters, words, verses and surahs in the Qur'an. In addition, Abdussakir (2014) structures numbersof the number of letters hijaiyah by Abdussakir (2014) and the theory pseudo concept according to Vinner (in Wibawa 2015: 41) says that the ability to think about the meaning of a relationship or the resulting concept is a pseudo conceptual mode of thinking. Thiberghie and Vince (2004) Formulation of understanding of pseudo-concrete is generated based on the transition results of real objects or events and models of world theory.supporting theory as an attempt to explore the verse. Based on the description of the background above, the question, what mathematical models and concepts are contained in Q.S An-Nur:24:26? So that what will be achieved in this study is to describe the modeling and mathematical concepts contained in Q.S An-Nur:24:26. II. METHODS In line with the formulation of the problem, then the form of this research is library research with mathematical models and concepts contained in the Qur'an in Q.S An-Nur:24:26 as the object of research. So, the data collection technique is in the form of documents, in the form of writings such as the Qur'an and its translation, interpretation of the Qur'an, and other literature. The data collection tool is a human instrument or researcher who examines data based on direct exploration results using the Tafsir Ibnu Katsir application by Muslim Media. The analytical technique used is the Miles and Huberman model (in Sugiyono 2018, p.337). This activity consists of a data reduction step related to the discussion of Ibnu Katsir's interpretation, presenting a numerical analysis of the essential words from the snippet of the verse of Q.S An-Nur: 24:26 that is needed and putting aside the unnecessary hijaiyah letters. Then, the data display stage is presented in a narrative model in a table based on numerical analysis with an interpretation of the previous paragraph's discussion. Furthermore, conclusion drawing and varication brief presents the results from beginning to end. Seeing the scientist context discussed is mathematics, it is necessary to have a based theory so that Blum and Leib (2011, p.15-30) modeling is chosen with seven cycles of mathematical modeling, namely, constructing, structuring, and simplifying, Mathematising, Working Mathematically, Interpreting, Validation, Exposing. These seven modeling cycles are combined with Miles and Huberman's techniques. Considering the object of research is the verse of the Qur'an, it is necessary to have other supporting theories. In line with Abdussakir, (2014, p.6), it is written in the rule of structure one, namely, mesmerizing a verse with a large number of hijaiyah letters that compose the verse. Thus, Considering the importance of a clear problem understanding about the situation to be modeled, it is necessary to have a pseudo-concrete thinking base in formulating mathematical modeling. The pseudo concrete theory (2015) is used when exploring verses to formulate keywords related to Q.S An-Nur:24:26 and in the analysis process table. Journal of Education, Teaching, and Learning Volume 7 Number 1 March 2022. Page 89-95 p-ISSN: 2477-5924 e-ISSN: 2477-8478 91 TABLE I THE COMBINATION OF MILES AND HUBERMAN ANALYSIS TECHNIQUES WITH BLUM AND LEIß . MATHEMATICAL MODELING THEORY Analysis Miles and Huberman Modelling Blum dan Leiß Data Reduction Contructing Data Reduction Structuring and Simplying Data Reduction Mathematising Data Reduction Working Matehematically Data Reduction Interpreting Data Display Validation Conclusion /Verification Exposing III. RESULTS AND DISCUSSION A. Resultas 1. Data Exploration Results of Al-Qur'an Verses Relating to Q.S An-Nur: 24:26 In exploring QS An-Nur: 24:26, it is deemed necessary to have a verse that supports QS An-Nur: 24:26 to build a strong foundation in further analysis. Therefore, based on the translation of Q.S An-Nur: 24:26, several aspects are obtained based on pseudo concrete thinking so that it raises keywords and verses related to QS An-Nur: 24:26 as follows. TABEL II EXPLORATION OF VERSES RELATED TO QS AN-NUR: 24:26 Indication of the relationship of verse pieces Keywords Surah name, order of surah and Ayat Relationship or partner to someone (“To”) Couple QS Adz-Dzariyat: 51:49 Comparison of two objects (“good” and “evil”) More, big, and small 1. QS An-Nisa: 4:3, 2. Surah An-Nisa: 4:34, 3. QS An-Nisa: 4:40 Installation according to the level of the partner. (“good for good” and “abominable for vile”) Level Surah Al-Baqarah: 2:228 2. The Study of Mathematical Modeling in QS An-Nur: 24:26 The study of mathematical modeling in QS An-Nur: 24:26 was obtained by combining the analysis process with Miles and Huberman's analytical technique with Blum and Leiß's Mathematical Modeling Theory (2011). This modeling study is obtained through the basis of pseudo concrete thinking and analysis of certain phrase pieces in QS An-Nur: 24:26 which are formulated from numerical values (Abdussakir: 2014, p.6). In identifying the mathematical model in QS An- Nur: 24:26, it will separate the verse into word parts to be analyzed, focusing on the translation, which indicates the existence of a mathematical concept, presented as follows. (a) Al-khabīṡātu (vile women) lil-khabīṡīna (for vile men); (b) wal-khabīṡụna (and vile men) lil-khabīṡāt (for vile (too) women); (c) waṭ-ṭayyibātu (and good women) liṭ-ṭayyibīna (for good men); TABEL III ANALYSIS OF POINTS A AND C Al-khabīṡātu lil-khabīṡīna and waṭ-ṭayyibātu liṭ-ṭayyibīna Constructing 1. Can the similarity also be seen from the number of letters that make up the words? 2. Do these statements form relations and functions? Structuring and Simplying Point A Al-khabīṡātu(Alif, Lâm, Khâ, Bâ, Yâ, Tsâ, Tâ) →Number of hijaiyah letters = 7 lil-khabīṡīna(Lâm,Lâm,Khâ, Bâ, Yâ, Tsâ, Yâ, Nûn) = 8 point A does not change because there are no conjunctions included. Before (point c): waṭ-ṭayyibātu (Wâw, Alif, Lâm, Thô, Yâ, Bâ, Tâ) = 7 liṭ-ṭayyibīna (Lâm, Lâm, Thô, Yâ, Bâ, Yâ, Nûn)= 7 After (point c): Aṭ-ṭayyibātu (Alif, Lâm, Thô, Yâ, Bâ, Tâ) = 6 At-ṭayyibīna (Alif, Lâm, Thô, Yâ, Bâ, Yâ, Nûn)= 7 Mathematising Al-khabīṡātu lil-khabīṡīna → Al-khabīṡātu lam Al-khabīṡīna Violent women for vile men Then: 7 paired with 8 waṭ-ṭayyibātu liṭ-ṭayyibīna → waw Aṭ- ṭayyibātu lam Aṭ-ṭayyibīna and good women for good men Then: 6 paired with 7 Working Mathematically Point A Violent women = A = -7 Violent men = B = -8 If A is worth -7 paired with B so, B is worth -8. Then B= -7+(-1)=-8 Point B Good women = A = 6 Good boy = B = 7 So, B = 6+1=7 Assuming women and men always get a partner, then f:X→Y with the function formula f(X)=X+1, X . Based on Q.S An-Nisa: 4:43 it is assumed that women (plural: from 1 to 4) (X) can be paired with one man (Y) so that it is defined : the value of good or bad from female to , and with Based on Q,S An-Nisa: 4:43 then : the man who is the partner of the woman. With, as much as , with then Formulated: with with with as many as pieces, and so obtained 2 cases, namely: Journal of Education, Teaching, and Learning Volume 7 Number 1 March 2022. Page 89-95 p-ISSN: 2477-5924 e-ISSN: 2477-8478 92 1. with and bijective 2. , with, with and with as many as pieces, and surjective Interpreting Based on QS An-Nisa: 4:40, this number arrangement is generalized into a collection of real numbers that can represent even the smallest number from the level of human morality so that the context Validation The supporting verse is QS Al-Baqarah: 2:228 and QS AnNisa: 4:34, QS Adz- Dzariyat: 51:49, QS Al-Lahab: 111:1-5, examples of pairs of good women and good men in Rasulullah Shalallahu Alaihi Wa Sallam and Khadijah (Source: Tafsir Ibn Kathir (An-Nur: 24:26)), and QS AnNisa: 4: 40 Exposing 1. with injective and surjective, then is bijective. 2. is surjective function with with and with as many as pieces and TABEL IV ANALYSIS OF POINTS B AND D RELATED TO POINTS A AND C a. Al-khabīṡātu lil-khabīṡīna b. wal-khabīṡụna lil-khabīṡāt c. waṭ-ṭayyibātu liṭ-ṭayyibīna d. waṭ-ṭayyibụna liṭ-ṭayyibāt Construction 1. Is the opposite seen in the number of letters that make up the part of the word? 2. Will it form an inverse function? Structuring and Simplying point b Al-khabīṡụna (Alif, Lâm, Khâ, Bâ, Yâ, Tsâ, Wâw, Nûn)→ Number of hijaiyah letters = 8 lil-khabīṡāt (Lâm, Lâm, Khâ, Bâ, Yâ, Tsâ, Tâ )= 7 Point d Aṭ-ṭayyibụna (Alif, Lâm, Thô, Yâ, Bâ, Wâw, Nûn)= 7 liṭ-ṭayyibāt (Lâm, Lâm, Thô, Yâ, Bâ, Tâ) = 6 Mathematising Wal-khabīṡụna lil-khabīṡāt → Waw Al-khabna Lam Al-khabīṡāt, then 8 is paired with 7 Waṭ-ṭayyibụna liṭ-ṭayyibāt → Waw Aṭ-ṭayyibāna Lam Aṭ-ṭayyibāt, then 7 is paired with 6 Working Matehematically - Violent men = P=-8 Violent women = Q =-7 Then Q= -8-(-1)=-7 - Good boy = P = 7 Good women = Q = 6 So, Q = 7-1=6 In this case, assuming women and men always get a partner, it can be written in the form of a function g:X→Ywith the function formula g(X)=X-1, X . Based on QS An-Nisa: 4:43 it is assumed that men (X) can be paired with women (plural: from 1 to 4) (Y) so that it is de : the value of good or bad from male to i, j : the woman who is the partner of the man. With, as much as , j with , then and . It is formulated that and with then and with as many as pieces, i and so obtained 2 cases, namely: 1. with , , bijective 2. It only qualifies relation and not function because each domain element has more than one pair in the codomain. Review on the analysis table points a and c It was found that it is bijective and (Surah An-Nisa: 4:40) after being tested, it fulfills that and are mutually inverse. with and and with Interpreting Interpretation of inverse and can be presented in the following figure Validation If then . For example and then, → For then then Exposing then and , then will be mutually inverse with TABEL V ANALYSIS OF POINT A AGAINST B AND POINT C AGAINST D a. Al-khabīṡātu lil-khabīṡīna b. wal-khabīṡụna lil-khabīṡāt c. waṭ-ṭayyibātu liṭ-ṭayyibīna d. waṭ-ṭayyibụna liṭ-ṭayyibāt Constructing Can the opposite value also be seen from the number of letters that make up the parts of the words? Will it form the concept of mirroring? Structuring and Simplying The following example is obtained a. Violent women = 7 Violent boy = 8 b. Violent boy = 8 Journal of Education, Teaching, and Learning Volume 7 Number 1 March 2022. Page 89-95 p-ISSN: 2477-5924 e-ISSN: 2477-8478 93 Violent women = 7 c. Nice women = 6 good boy = 7 d. good boy = 7 Nice women = 6 Mathematising point a: Al-khabīṡātu lil-khabīṡīna → Al- khabīṡātu lam Al-khabna, then 7 is paired with 8, If written in ordered pairs then (7,8) point b : Wal-khabīṡụna lil-khabīṡāt → Waw Al- khabīṡụna lam Al-khabīṡāt, then 8 is paired with 7→ (8,7) point c: Waṭ-ṭayyibātu liṭ-ṭayyibīna → Waw aṭ- ṭayyibātu lam aṭ-ṭayyibīna, then 6 is paired with 7→ (6,7) point d: Waṭ-ṭayyibụna liṭ-ṭayyibāt → Waw Aṭ- ṭayyibāna Lam Aṭ-ṭayyibāt, then 7 is paired with 6→ (7,6) Working Mathematically relationship a and b A(7,8) → A ( ) and for B(8,7) → B ( ) Judging from the similarities, namely: = and Assumption There is a principle of reflection, namely: reflect the result and reflect the result Proof :Determine the distance between points A and B Since, the distance A from the mirror = the distance B from the mirror, then, the distance of the point to the mirror = Distance A from the mirror (C) (equation i) Distance B to mirror (C) (equation ii) Elimination of equations i and ii gives x=y relationship c and d in the same way produce the equation x=y.Thus, it is obtained that a and b and c and d mirror each other on the line X=Y Interpreting We get, A(7,8), B(8,7), C(6,7), D(7,6), f: x+1,, i: x=y, and g:x+1 Validation The point A(7, 8) is reflected on the line Y=X producing the image A'(8, 7), written as, In the same way, the point P(6, 7) is reflected on the line Y=X to produce the image P'(7, 6) Exposing If A(7,8) then B=A'(8,7) and If P(6,7) then Q=P'(7,6) if the point A(x, y) is reflected on the line Y= X, it produces an image A'(y, x) 3. Study of Some Mathematical Concepts in QS An-Nur: 24:26 This concept study is obtained through the analysis of certain phrase pieces in QS An-Nur: 24:26 in the table above to find mathematical concepts. a. Points A and C The concept of a function with a pairing relation is obtained which comes from the word "Lâm" which means "to" which is defined in this analysis in the form of a pair/paired. So, forming the function f:X→Y with function formula with and is bijective. Is a surjective function with with and with as many as pieces and b. Points B and D Related to Points A and C Based on table 4 shows the concept of an inverse function. If, a man will be paired with a woman (x) which forms a bijective function if with and will only inverse each other with bijective function with and c. Point A Against B and Point C Against D Based on table 5 shows the concept of reflection. In Q.S An-Nur: 24:26, it explains to humanity that Allah will pair men or women according to their partner's reflection, which in this case can be adapted like an object reflected on the Y = X line. So it is obtained that if the point A(X,Y) is reflected on the line Y= X, it produces an image A'(Y, X). B. Discussions 1. Mathematical Modeling Based on the analysis table, so that the discussion of each stage is as follows. (1) Constructing, in table 3-5 will formulate a statement and a question; (2) Structuring and Simplifying, in table 3-5 reducing conjunctions so that the primary word is obtained, it is done by not taking into account the word "for" (Lâm) is a conjunction that states a relationship, a partner, and the word "and" (Wâw) is a word connect. In addition, it will number the number of hijaiyah letters from the summed base word to represent the numerical value of each phrase fragment; (3) Mathematising, in table 3-5 represents conjunctions, namely relations by assuming that the word "for" means "paired" and "waw" (and) is ruled out because it only functions as a liaison between clause and clause. Thus, a mathematical statement is obtained. In table 5 it is presented in the form of ordered Journal of Education, Teaching, and Learning Volume 7 Number 1 March 2022. Page 89-95 p-ISSN: 2477-5924 e-ISSN: 2477-8478 94 pairs; (4) Working Mathematically, in tables 3 and 4 analyze based on indications of two different morals, namely vile and sound, so that in formulating mathematical equations, it is adjusted back to conditions. Thus, an example is obtained that the number of letters in the installation of "evil" will be negative, expressed in the form of negative integers, during the installation of "good" in the form of positive integers. The example is based on the scope of the discussion, namely numbers that will form mathematical equations that form functions. Then it will be categorized according to the type of function. Based on so in the formulation of mathematical equations adjusted back to the conditions. Thus, an example is obtained that the number of letters in the installation of "evil" will be negative, expressed in the form of negative integers, during the installation of "good" in positive integers. The example is based on the scope of the discussion, namely numbers that will form mathematical equations that form functions. Then it will be categorized according to the type of function. Based on so in the formulation of mathematical equations adjusted back to the conditions. Thus, an example is obtained that the number of letters in the installation of "evil" will be negative, expressed in the form of negative integers, during the installation of "good" in the form of positive integers. The example is based on the scope of the discussion, namely numbers that will form mathematical equations that form functions. Then it will be categorized according to the type of function. The example is based on the scope of the discussion, namely numbers that will form mathematical equations that form functions. Then it will be categorized according to the type of function. The example is based on the scope of the discussion, namely numbers that will form mathematical equations that form functions. Then it will be categorized according to the type of function and based on Q.S An-Nisa: 4:43, so that the formula for the function relevant to real conditions is formulated. Meanwhile, in table 5, there are indications of reflection. The calculation begins by finding the distance between two points (point and image point) so that the distance between the point and the mirror and the image point with the mirror is obtained. Based on these results, look for the equation of the mirror line from that point with the equation obtained from a distance between the two points so that the equation of the line Y=X; (5)interpreting, in table 3 the interpretation is carried out on the process of generalizing the condition of the function according to Q.S An-Nisa: 4:40 so that the scope of the discussion becomes and is represented in graphical form as in tables 4 and 5; (6) Validation, in table 3 is carried out by strengthening the verse that supports Q.S An-Nur: 24:26, for table 4 validation is carried out by testing the two inverse functions, while table 5 is validated by substituting the known value in the formula for mirroring the axis Y=X; (7) Exposing, in table 3-5 describes the general conclusions and answers from the problem formulation at the constructing stage R. 2. Math Concepts a. Points a and c The concept of one-to-one (bijective) and surjective functions based on word indications in the translation which can be interpreted as a relationship between objects written on the letter "lam" which means "to" in this case, is assumed to be a pair. Two sets were found, following up on the existence of two sets connected by relation, and after reviewing that each object has a pair from the two sets, it forms a bijective and surjective function according to the case. b. Points B and D Related to Points A and C The concept of an inverse function is obtained based on the numerical relationship at points b and d with points a and c. Given that points b and d are bijective functions with and a and c are also bijective, we get based on their numerical and the relation of the words in the translation. It is indicated that there is an inverse for each element and . As well as numerical values that are opposite to each other, it is obtained based on mathematical calculations that, in fact, and are inverses of each other then If then . c. Point A Against B And Point C Against D The concept of reflection is obtained based on the numerical relationship in the analysis of points a to b and points c to d. From the numerical point of view, the ordered pairs of points a to b have inverses to form = and = . Based on the concept of reflection in the table above, the distance A(7,8) to Y=X is the same as the distance B(8,7) to Y=X in the table, so that based on the definition of reflection, B is A' (image point of A). Thus, describing the concept of reflection of a point on the line Y=X. IV. CONCLUSION Based on the results and discussion, the conclusions of this study will answer two problem formulations, namely modeling and mathematical concepts in QS An-Nur: 24:26. Mathematical modeling points A and C that is, which contains the concept of a bijective function and with and with contains the concept of a surjective function with and with as many as piece, and . For paragraph sections B and D related to points A and C, with and and for another case in the snippet of this verse, namely, if a man can have a partner between 1-4 women so that, based on the definition of the function, in this case, it is not fulfilled meaning it is not a function. If the relationship is reviewed . Thus, then and will be mutually inverse with Thus, containing the concept Journal of Education, Teaching, and Learning Volume 7 Number 1 March 2022. Page 89-95 p-ISSN: 2477-5924 e-ISSN: 2477-8478 95 of an inverse function then The four sentences explain that women and men will be paired according to themselves (mirror). Describing the reflection of the line Y=X, so that the mathematical model is found, namely So that the problem contains the concept of mirroring the line Y=X Finally, it is suggested several things, namely the discussion of research can be developed more broadly by considering the exceptions to certain events in QS An-Nur: 24:26 with other verses that support it. Furthermore, it is expected to master the sciences that can help the process of studying mathematics and mathematizing the Qur'an. In addition, this research can be developed as a teaching material that can be used for Islamic school students. REFERENCES Abdussakir. (2014). Matematika dalam Al-Qur’an. Unit Penerbitan UIN Maulana Malik Ibrahim. Malang Al-Faqih, K. M. S. (2017). A Mathematical Phenomenon in the Quran of Earth-Shattering Proportions: A Quranic Theory Based On Gematria Determining Quran Primary Statistics (Words, Verses, Chapters) and Revealing Its Fascinating Connection with the Golden Ratio. 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