{"title":"巽他文化下的小学生民族数学学习","authors":"S. Supriadi","doi":"10.1201/9781003035978-9","DOIUrl":null,"url":null,"abstract":"Ethnomathematics learning is learning that connects cultural and mathematical concepts by looking at mathematics as a cultural product. Material reduction of natural numbers can be learned using Indonesian children's games, namely Sundanese culture. Mathematical learning activities that can be done is to understand the basic facts of addition to a collection and reduction that is presented with the technique of discarding. The subject of this study uses 82 teachers, 1 teacher guides 1 until 9 elementary school students with a total of elementary school students used 273. Students learn mathematics with ethnomathematics learning endog-endogan game. After the data are collected, the researcher processes the data using a qualitative descriptive method, which describes the documentation of the data with the students' responses.Benefits in this learning students will play together with other students so that fun, 163 happy, 49 student enthusiastic in learning mathematics, 49 students says learning mathematics is easy and 12 students eliminate misconceptions in reduction operations. Mathematical abstracts can be reduced and promote Indonesian cultural products in the development of mathematical learning innovations. 1.Introduction Mathematics learning today is still less than optimal in connecting the concept of mathematics with the concept of culture. Teachers and the public in general do not generally say that mathematics and culture are connected [1]. Resulting in a conflict between student culture in everyday life with mathematics [2], whereas by connecting between mathematics and culture can help in the educational progress of a country [3]. A. new development in education which relies upon getting your strength back autochthonous practices of traditional cultures [4]. Mathematics with culture can be integrated into the concept of ethnomathematics. The word ethnomathematics is used to communicate the connection between culture and mathematics. The expression requires a active interpretation because it describes concepts that are themselves neither rigid nor singular-namely, ethno and mathematics[5]. Global Conferences Series: Sciences and Technology (GCSST), Volume 2, 2019 Page | 175 Ethnomatematics learning has been done by Knijnik [6]. in introducing the Brazilian culture 'cubagem of wood'in.[7] with culture in Africa as well as [8]. with the culture of Ugandan society.Indonesian culture is well known by the world, this paper describes an Indonesian culture, namely modified Sundanese culture in mathematics learning, so that cultural acceptance is more contemporary and flexible understood by everyone. Sundanese are an ethnic group originating from the western part of the island of Java, Indonesia, with the term Tatar Pasundan which covers the administrative regions of the provinces of West Java, Banten, Jakarta, Lampung and the western region of Central Java (Banyumasan). Sundanese are spread in various parts of Indonesia, with the provinces of Banten and West Java as the main regions. The identity that unites Sundanese is its language and culture, one of the Sundanese culture that will be conveyed in this article is endog-endogan children's games. 2. Methods The subject of this study uses 82 teachers, 1 teacher guides 1 until 9 students elementary school with a total of elementary school students used 273. Students learn mathematics with ethnomatematics learning endog-endogan game. Introduction, students is treated with endog-endog playing, then observed and interviewed about their responses to ethnomathematics learning. The material that is connected is the reduction of lower classes by means of each child clenching their hands into eggs, then playing with other students, after which the teacher asks regarding the concept of reduction that is connected. After the data are collected, the researcher processes the data using a qualitative descriptive method, which describes the documentation of the data with the students' responses. 3.Results and Discussion 3.1 Endog-endogan Game The endog-endogan game is a traditional Sundanese game. This game is not difficult to practice, because it only uses the media of one member of our body that is the hand. So this game is very flexible to play anywhere and anytime. In this game we, the wisdom that can be taken is that we must cooperate with each other to build-up to a peak, and if there is a fall we always to help him to rise again and not despair. Endog-endogan Song Endog-endogan peupeus hiji prek Endog-endogan peupeus hiji prek Goleang-goleang mata sapi bolotot Endog-endogan game in the concept of reduction Figure 1.Endog-endogan Games Global Conferences Series: Sciences and Technology (GCSST), Volume 2, 2019 Page | 176 Steps to learning mathematics in a reduction operation: First, prepare questions in advance for the child, write the questions on the board, say 6-2 = ...,prepare 3 children by clenching their hands like forming eggs while singing modified endog-endogan songs: Endog-endogan endog genep peupeus two prek (Six eggs split two, Prek) (Students think counting the rest) Endog-endogan nu teu peupeus is an opat There are four eggs that don't break Goleang bolotot cow eyes Scoot the eyes of the cow The following are presented photos of endog-endogan game learning with variations in expressions of elementary school students Figure 2. Endog-endogan endog tilu peupeus hiji prek (three eggs split one, Prek). (Students think counting the rest) Endog-endogan nu teu peupeus aya dua (there are two eggs that don't break). Goleang bolotot cow eyes (Scoot the eyes of the cow) Figure 3. Endog-endogan endog dalapan peupeus tilu prek (eight eggs split three, Prek). (Students think counting the rest) Endog-endogan nu teu peupeus aya lima (there are five eggs that don't break). Goleang bolotot cow eyes (Scoot the eyes of the cow) Table 1. The following are all summaries of students' responses to egg games. No Sum Student Student response through interviewed 1 163 One Student Happy (T58)three students have increased motivation, carefree and happy (T1), Two children of first grade elementary school students feel happy with the typical laughter of elementary school age children (T4). two students are very happy, exciting and understand the endog-endogan game given (T8). three students were very happy with the endog-endogan game given(T9). Three students Happy (T10,T44,T51,T59). Two students Happy (T11, T45,T47,T54,T55,T56,T65,T66,T67,T68.T69.T70.T71,T72,T73,T75,T76,T77,T78, T79,T80,T81,T82). Four students happy (T41, T42, T43,T50,T52,T53, Global Conferences Series: Sciences and Technology (GCSST), Volume 2, 2019 Page | 177 T16,17,18,26, T28,T30, T31,T32, T34,T35, T36, T37,T38, T40), Five student happy (62)Nine student happy (63) 2 49 Three students were enthusiastic in this eggs game, making children very happy because in learning they could also play (T2). When doing this game five students were very enthusiastic, happy and could add to their knowledge. Because basically math is not always a problem with numbers I(T3).Three students were more enthusiastic about counting with endog-endogan games compared to counting directly (T6). Seven students were enthusiastic in this eggs game (T49).Five students enthusiastic(T14). three students looked enthusiastic because they learned while playing (T17,T61). four students were enthusiastic (T19,T20,T48) eight students were enthusiastic and happy (T46) 3 49 two children in first grade elementary school said learning mathematics was easy(T5,T61), three students stated that mathematics was easy with endog-endogan. games (T7,T58). nine students says fun and math are easy (T15,T33). Two student says easy and happy (T45), Seven students says easy and happy (T57,T60).Five students says easy (T64) 6 12 Three Students did not experience misconceptions in reduction(T22,23,T24,T25)","PeriodicalId":391924,"journal":{"name":"Teacher Education and Professional Development in Industry 4.0","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Ethnomathematics learning with Sundanese culture for elementary school students\",\"authors\":\"S. Supriadi\",\"doi\":\"10.1201/9781003035978-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Ethnomathematics learning is learning that connects cultural and mathematical concepts by looking at mathematics as a cultural product. Material reduction of natural numbers can be learned using Indonesian children's games, namely Sundanese culture. Mathematical learning activities that can be done is to understand the basic facts of addition to a collection and reduction that is presented with the technique of discarding. The subject of this study uses 82 teachers, 1 teacher guides 1 until 9 elementary school students with a total of elementary school students used 273. Students learn mathematics with ethnomathematics learning endog-endogan game. After the data are collected, the researcher processes the data using a qualitative descriptive method, which describes the documentation of the data with the students' responses.Benefits in this learning students will play together with other students so that fun, 163 happy, 49 student enthusiastic in learning mathematics, 49 students says learning mathematics is easy and 12 students eliminate misconceptions in reduction operations. Mathematical abstracts can be reduced and promote Indonesian cultural products in the development of mathematical learning innovations. 1.Introduction Mathematics learning today is still less than optimal in connecting the concept of mathematics with the concept of culture. Teachers and the public in general do not generally say that mathematics and culture are connected [1]. Resulting in a conflict between student culture in everyday life with mathematics [2], whereas by connecting between mathematics and culture can help in the educational progress of a country [3]. A. new development in education which relies upon getting your strength back autochthonous practices of traditional cultures [4]. Mathematics with culture can be integrated into the concept of ethnomathematics. The word ethnomathematics is used to communicate the connection between culture and mathematics. The expression requires a active interpretation because it describes concepts that are themselves neither rigid nor singular-namely, ethno and mathematics[5]. Global Conferences Series: Sciences and Technology (GCSST), Volume 2, 2019 Page | 175 Ethnomatematics learning has been done by Knijnik [6]. in introducing the Brazilian culture 'cubagem of wood'in.[7] with culture in Africa as well as [8]. with the culture of Ugandan society.Indonesian culture is well known by the world, this paper describes an Indonesian culture, namely modified Sundanese culture in mathematics learning, so that cultural acceptance is more contemporary and flexible understood by everyone. Sundanese are an ethnic group originating from the western part of the island of Java, Indonesia, with the term Tatar Pasundan which covers the administrative regions of the provinces of West Java, Banten, Jakarta, Lampung and the western region of Central Java (Banyumasan). Sundanese are spread in various parts of Indonesia, with the provinces of Banten and West Java as the main regions. The identity that unites Sundanese is its language and culture, one of the Sundanese culture that will be conveyed in this article is endog-endogan children's games. 2. Methods The subject of this study uses 82 teachers, 1 teacher guides 1 until 9 students elementary school with a total of elementary school students used 273. Students learn mathematics with ethnomatematics learning endog-endogan game. Introduction, students is treated with endog-endog playing, then observed and interviewed about their responses to ethnomathematics learning. The material that is connected is the reduction of lower classes by means of each child clenching their hands into eggs, then playing with other students, after which the teacher asks regarding the concept of reduction that is connected. After the data are collected, the researcher processes the data using a qualitative descriptive method, which describes the documentation of the data with the students' responses. 3.Results and Discussion 3.1 Endog-endogan Game The endog-endogan game is a traditional Sundanese game. This game is not difficult to practice, because it only uses the media of one member of our body that is the hand. So this game is very flexible to play anywhere and anytime. In this game we, the wisdom that can be taken is that we must cooperate with each other to build-up to a peak, and if there is a fall we always to help him to rise again and not despair. Endog-endogan Song Endog-endogan peupeus hiji prek Endog-endogan peupeus hiji prek Goleang-goleang mata sapi bolotot Endog-endogan game in the concept of reduction Figure 1.Endog-endogan Games Global Conferences Series: Sciences and Technology (GCSST), Volume 2, 2019 Page | 176 Steps to learning mathematics in a reduction operation: First, prepare questions in advance for the child, write the questions on the board, say 6-2 = ...,prepare 3 children by clenching their hands like forming eggs while singing modified endog-endogan songs: Endog-endogan endog genep peupeus two prek (Six eggs split two, Prek) (Students think counting the rest) Endog-endogan nu teu peupeus is an opat There are four eggs that don't break Goleang bolotot cow eyes Scoot the eyes of the cow The following are presented photos of endog-endogan game learning with variations in expressions of elementary school students Figure 2. Endog-endogan endog tilu peupeus hiji prek (three eggs split one, Prek). (Students think counting the rest) Endog-endogan nu teu peupeus aya dua (there are two eggs that don't break). Goleang bolotot cow eyes (Scoot the eyes of the cow) Figure 3. Endog-endogan endog dalapan peupeus tilu prek (eight eggs split three, Prek). (Students think counting the rest) Endog-endogan nu teu peupeus aya lima (there are five eggs that don't break). Goleang bolotot cow eyes (Scoot the eyes of the cow) Table 1. The following are all summaries of students' responses to egg games. No Sum Student Student response through interviewed 1 163 One Student Happy (T58)three students have increased motivation, carefree and happy (T1), Two children of first grade elementary school students feel happy with the typical laughter of elementary school age children (T4). two students are very happy, exciting and understand the endog-endogan game given (T8). three students were very happy with the endog-endogan game given(T9). Three students Happy (T10,T44,T51,T59). Two students Happy (T11, T45,T47,T54,T55,T56,T65,T66,T67,T68.T69.T70.T71,T72,T73,T75,T76,T77,T78, T79,T80,T81,T82). Four students happy (T41, T42, T43,T50,T52,T53, Global Conferences Series: Sciences and Technology (GCSST), Volume 2, 2019 Page | 177 T16,17,18,26, T28,T30, T31,T32, T34,T35, T36, T37,T38, T40), Five student happy (62)Nine student happy (63) 2 49 Three students were enthusiastic in this eggs game, making children very happy because in learning they could also play (T2). When doing this game five students were very enthusiastic, happy and could add to their knowledge. Because basically math is not always a problem with numbers I(T3).Three students were more enthusiastic about counting with endog-endogan games compared to counting directly (T6). Seven students were enthusiastic in this eggs game (T49).Five students enthusiastic(T14). three students looked enthusiastic because they learned while playing (T17,T61). four students were enthusiastic (T19,T20,T48) eight students were enthusiastic and happy (T46) 3 49 two children in first grade elementary school said learning mathematics was easy(T5,T61), three students stated that mathematics was easy with endog-endogan. games (T7,T58). nine students says fun and math are easy (T15,T33). Two student says easy and happy (T45), Seven students says easy and happy (T57,T60).Five students says easy (T64) 6 12 Three Students did not experience misconceptions in reduction(T22,23,T24,T25)\",\"PeriodicalId\":391924,\"journal\":{\"name\":\"Teacher Education and Professional Development in Industry 4.0\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-10-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Teacher Education and Professional Development in Industry 4.0\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9781003035978-9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Teacher Education and Professional Development in Industry 4.0","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9781003035978-9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
民族数学学习是通过将数学视为一种文化产品来连接文化和数学概念的学习。利用印尼儿童游戏,即巽他文化,可以学习自然数的材料减法。可以做的数学学习活动是理解加法的基本事实,以及用丢弃技术呈现的还原。本研究的受试者使用82名教师,1名教师指导1名至9名小学生,共使用小学生273名。学生在民族数学学习游戏中学习数学。在收集数据后,研究者使用定性描述方法处理数据,用学生的反应描述数据的文档。在这次学习中,同学们会和其他同学一起玩得很开心,163名同学开心,49名同学对学习数学充满热情,49名同学说学习数学很容易,12名同学消除了对约简运算的误解。数学文摘可以简化并促进印尼文化产品在数学学习中的发展创新。1.今天的数学学习在将数学概念与文化概念联系起来方面仍然不够理想。教师和公众一般不会说数学和文化是有联系的[1]。导致学生日常生活中的文化与数学之间的冲突[2],而数学与文化之间的联系有助于一个国家的教育进步[3]。A.教育的新发展,依靠从传统文化的本土实践中获得力量[4]。具有文化的数学可以纳入民族数学的概念。民族数学这个词被用来表达文化和数学之间的联系。这种表达需要积极的解释,因为它描述的概念本身既不是刚性的,也不是单一的,即民族和数学[5]。Global Conferences Series: Sciences and Technology (GCSST), vol . 2, 2019 Page | 175 ethnomatatics learning已经由Knijnik完成[6]。介绍巴西文化“木质立方体”。[7]和非洲文化[8]。乌干达社会的文化印尼文化为世界所熟知,本文描述了一种印尼文化,即修改后的巽他文化在数学学习中的应用,使文化接受更具有时尚性和灵活性,为大家所理解。巽他人是起源于印度尼西亚爪哇岛西部的一个民族,其名称为taratar Pasundan,涵盖了西爪哇、万丹、雅加达、楠pung和中爪哇西部地区(Banyumasan)的行政区域。巽他语分布在印度尼西亚的各个地区,以万丹省和西爪哇省为主要地区。将巽他人团结在一起的身份认同是它的语言和文化,本文要传达的巽他人文化之一就是巽他人的儿童游戏。2. 方法本研究采用82名教师,1名教师指导1名至9名小学生,共使用小学生273名。学生通过民族数学学习内生博弈来学习数学。首先对学生进行内嵌式游戏,然后对他们对民族数学学习的反应进行观察和访谈。被连接的材料是通过每个孩子把手握成鸡蛋,然后和其他学生一起玩,然后老师问关于被连接的减少的概念。在收集数据后,研究者使用定性描述方法处理数据,用学生的反应描述数据的文档。3.3.1内生博弈内生博弈是巽他族的一种传统游戏。这个游戏并不难练习,因为它只使用我们身体的一个成员的媒介,那就是手。所以这个游戏非常灵活,可以随时随地玩。在这个游戏中,我们可以采取的智慧是,我们必须相互合作,建立一个高峰,如果有一个下降,我们总是帮助他再次上升,而不是绝望。endoendogan Song endoendogan peupeus hiji prek endoendogan peupeus hiji prek Goleang-goleang mata sapi bolotot endoendogan game中的概念还原图1。恩多尼多甘游戏全球会议系列:科学与技术(GCSST),卷2,2019页| 176在约简运算中学习数学的步骤:首先,提前为孩子准备好问题,把问题写在黑板上,说6-2 =…
Ethnomathematics learning with Sundanese culture for elementary school students
Ethnomathematics learning is learning that connects cultural and mathematical concepts by looking at mathematics as a cultural product. Material reduction of natural numbers can be learned using Indonesian children's games, namely Sundanese culture. Mathematical learning activities that can be done is to understand the basic facts of addition to a collection and reduction that is presented with the technique of discarding. The subject of this study uses 82 teachers, 1 teacher guides 1 until 9 elementary school students with a total of elementary school students used 273. Students learn mathematics with ethnomathematics learning endog-endogan game. After the data are collected, the researcher processes the data using a qualitative descriptive method, which describes the documentation of the data with the students' responses.Benefits in this learning students will play together with other students so that fun, 163 happy, 49 student enthusiastic in learning mathematics, 49 students says learning mathematics is easy and 12 students eliminate misconceptions in reduction operations. Mathematical abstracts can be reduced and promote Indonesian cultural products in the development of mathematical learning innovations. 1.Introduction Mathematics learning today is still less than optimal in connecting the concept of mathematics with the concept of culture. Teachers and the public in general do not generally say that mathematics and culture are connected [1]. Resulting in a conflict between student culture in everyday life with mathematics [2], whereas by connecting between mathematics and culture can help in the educational progress of a country [3]. A. new development in education which relies upon getting your strength back autochthonous practices of traditional cultures [4]. Mathematics with culture can be integrated into the concept of ethnomathematics. The word ethnomathematics is used to communicate the connection between culture and mathematics. The expression requires a active interpretation because it describes concepts that are themselves neither rigid nor singular-namely, ethno and mathematics[5]. Global Conferences Series: Sciences and Technology (GCSST), Volume 2, 2019 Page | 175 Ethnomatematics learning has been done by Knijnik [6]. in introducing the Brazilian culture 'cubagem of wood'in.[7] with culture in Africa as well as [8]. with the culture of Ugandan society.Indonesian culture is well known by the world, this paper describes an Indonesian culture, namely modified Sundanese culture in mathematics learning, so that cultural acceptance is more contemporary and flexible understood by everyone. Sundanese are an ethnic group originating from the western part of the island of Java, Indonesia, with the term Tatar Pasundan which covers the administrative regions of the provinces of West Java, Banten, Jakarta, Lampung and the western region of Central Java (Banyumasan). Sundanese are spread in various parts of Indonesia, with the provinces of Banten and West Java as the main regions. The identity that unites Sundanese is its language and culture, one of the Sundanese culture that will be conveyed in this article is endog-endogan children's games. 2. Methods The subject of this study uses 82 teachers, 1 teacher guides 1 until 9 students elementary school with a total of elementary school students used 273. Students learn mathematics with ethnomatematics learning endog-endogan game. Introduction, students is treated with endog-endog playing, then observed and interviewed about their responses to ethnomathematics learning. The material that is connected is the reduction of lower classes by means of each child clenching their hands into eggs, then playing with other students, after which the teacher asks regarding the concept of reduction that is connected. After the data are collected, the researcher processes the data using a qualitative descriptive method, which describes the documentation of the data with the students' responses. 3.Results and Discussion 3.1 Endog-endogan Game The endog-endogan game is a traditional Sundanese game. This game is not difficult to practice, because it only uses the media of one member of our body that is the hand. So this game is very flexible to play anywhere and anytime. In this game we, the wisdom that can be taken is that we must cooperate with each other to build-up to a peak, and if there is a fall we always to help him to rise again and not despair. Endog-endogan Song Endog-endogan peupeus hiji prek Endog-endogan peupeus hiji prek Goleang-goleang mata sapi bolotot Endog-endogan game in the concept of reduction Figure 1.Endog-endogan Games Global Conferences Series: Sciences and Technology (GCSST), Volume 2, 2019 Page | 176 Steps to learning mathematics in a reduction operation: First, prepare questions in advance for the child, write the questions on the board, say 6-2 = ...,prepare 3 children by clenching their hands like forming eggs while singing modified endog-endogan songs: Endog-endogan endog genep peupeus two prek (Six eggs split two, Prek) (Students think counting the rest) Endog-endogan nu teu peupeus is an opat There are four eggs that don't break Goleang bolotot cow eyes Scoot the eyes of the cow The following are presented photos of endog-endogan game learning with variations in expressions of elementary school students Figure 2. Endog-endogan endog tilu peupeus hiji prek (three eggs split one, Prek). (Students think counting the rest) Endog-endogan nu teu peupeus aya dua (there are two eggs that don't break). Goleang bolotot cow eyes (Scoot the eyes of the cow) Figure 3. Endog-endogan endog dalapan peupeus tilu prek (eight eggs split three, Prek). (Students think counting the rest) Endog-endogan nu teu peupeus aya lima (there are five eggs that don't break). Goleang bolotot cow eyes (Scoot the eyes of the cow) Table 1. The following are all summaries of students' responses to egg games. No Sum Student Student response through interviewed 1 163 One Student Happy (T58)three students have increased motivation, carefree and happy (T1), Two children of first grade elementary school students feel happy with the typical laughter of elementary school age children (T4). two students are very happy, exciting and understand the endog-endogan game given (T8). three students were very happy with the endog-endogan game given(T9). Three students Happy (T10,T44,T51,T59). Two students Happy (T11, T45,T47,T54,T55,T56,T65,T66,T67,T68.T69.T70.T71,T72,T73,T75,T76,T77,T78, T79,T80,T81,T82). Four students happy (T41, T42, T43,T50,T52,T53, Global Conferences Series: Sciences and Technology (GCSST), Volume 2, 2019 Page | 177 T16,17,18,26, T28,T30, T31,T32, T34,T35, T36, T37,T38, T40), Five student happy (62)Nine student happy (63) 2 49 Three students were enthusiastic in this eggs game, making children very happy because in learning they could also play (T2). When doing this game five students were very enthusiastic, happy and could add to their knowledge. Because basically math is not always a problem with numbers I(T3).Three students were more enthusiastic about counting with endog-endogan games compared to counting directly (T6). Seven students were enthusiastic in this eggs game (T49).Five students enthusiastic(T14). three students looked enthusiastic because they learned while playing (T17,T61). four students were enthusiastic (T19,T20,T48) eight students were enthusiastic and happy (T46) 3 49 two children in first grade elementary school said learning mathematics was easy(T5,T61), three students stated that mathematics was easy with endog-endogan. games (T7,T58). nine students says fun and math are easy (T15,T33). Two student says easy and happy (T45), Seven students says easy and happy (T57,T60).Five students says easy (T64) 6 12 Three Students did not experience misconceptions in reduction(T22,23,T24,T25)