# An Application of English Reading Mobile Teaching Model Based onK-Means Algorithm

Authors: Changhong Peng
Journal: Mobile Information Systems
 (2022)

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## Abstract

The rapid development and maturity of emerging technologies such as mobile Internet and artificial intelligence have had a subversive impact on all aspects of teaching, and mobile learning has become the normal learning of students. Educational technology has developed from traditional technology and ordinary media technology to multimedia information network technology. Personal computers and wired networks have been more and more widely used. Wireless communication technology and mobile Internet technology of mobile computing devices will be popularized, and the trend from digital learning to mobility will be more and more obvious. This study uses thek-means algorithm to analyze the English reading performance, finds out the factors affecting the test performance, provides guidance for improving the pass rate of CET-4, and focuses on the rise of mobile learning under this background and its specific application in English teaching. The experimental results show that 39 students (55%) believe that mobile reading learning provides rich and real reading materials, can obtain real and authentic language input, and increase their interest in English reading. 31 students (44%) believed that the learning model was helpful to enhance autonomous learning ability. Therefore, one of the biggest advantages of this clustering algorithm is that it has high scalability and efficiency in the processing of large data sets. The mobile teaching model of English reading based on the k-means algorithm can more effectively promote the interaction of English reading teaching and improve students’ English text reading comprehension ability than the traditional teaching model. In addition, it can promote students’ active learning and cultivate students’ awareness of autonomous learning and cooperation.


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## Body

## 1. Introduction

There are many types of college English reading, including general English reading, academic English reading, and professional English reading [1]. People began to advocate the combination of the advantages of online learning and traditional teaching, that is, blended learning [2]. Regardless of the type of English reading, society demands more and more breadth and depth from students, and reading ability has become an important consideration in English learning [3]. As a branch of e-learning, mobile learning has attracted more and more attention, especially its wide application in the field of education, and it has become the focus of online education research [4]. From the perspective of the evolution process of distance education, it has gone through different development stages such as correspondence education, radio and television education, and network education, and its media has also gone through the development process from paper print media, television media, and computer network multimedia [5].The emergence of intelligent learning tools such as mobile phones and tablets provides a new way for talent training, namely mobile learning [6]. In the face of the college students who are “indigenous people in the Internet Era,” if the school can make good use of mobile phones and mobile technologies, it can change from passive to active, greatly expand the teaching space, and carry out learning across time and space [7]. And they Effectively bridge inside and outside the classroom to enhance interaction in teaching and learning [8]. Learning and teaching on mobile Internet enable every learner to have the right to enjoy information resources and learning anytime and anywhere [9]. The English mobile learning model provides a new learning opportunity for students, and it can somehow improve the effectiveness of their English learning. Emerging technologies such as cloud computing, mobile Internet, and artificial intelligence have entered the classroom, and hybrid teaching mode, machine intelligence evaluation, educational big data mining, individual resource identification, and recommendation have emerged one after another. Relying on information technology, creating a variety of modes, and realizing talent growth under the new situation have become the general trend of the future development of China’s Higher Education [10].However, under the background of the whole society’s demand for continuing education and lifelong education, as well as the more general demand for individualized learning, learners often want to consider the situation of different learners [11] such as the difference in learning needs or learning motivation, to effectively achieve the goal of individualized learning in mobile learning and design personalized learning system, providing learners with a platform for learning anytime and anywhere and improving learning efficiency [12]. The basic principle of clustering analysis is as follows: without prior knowledge, a data set is divided into multiple clusters, so that the features of data objects in the same cluster are similar, while the features of data objects among different clusters are less similar [13]. Therefore, this study uses the k-means algorithm to analyze the English reading teaching mode and explore the relationship between test questions and test results, so as to promote college teachers to improve teaching, stimulate students’ learning enthusiasm, and improve the passing rate of English reading test. K-means technology can extract abundant, undiscovered, and potentially useful information from Web service site logs [14]. The purpose is to get learners’ visiting behaviors and ways, find out the rules of learning and teaching, and better meet learners’ personalized learning characteristics and requirements [15].The innovation of this study lies in the following:(1)
A clustering center-optimizedk-means optimal clustering number is proposed, and according to this parameter, a method that must be selected in the initial clustering is proposed: the initial center point-optimized k-means algorithm, which can select a data object in a relatively high-density area as the initial center point of the clustering.(2)
According to the input theory of second language acquisition and autonomous learning theory, this study designs and develops the mobile teaching mode supported byk-means algorithm and applies the teaching mode to mixed courses. Teachers send learners a task list every day to promote learners to learn English with intelligent devices outside class.The research framework of this study consists of five parts, which are arranged as follows.The first part of this study introduces the research background and significance and then introduces the main work of this study. The second part introduces the work related to English reading mobile teaching mode andk-means algorithm. The third part combs the mobile teaching mode supported by k-means algorithm and the design and implementation methods of system functions, so that the readers of this study can have a more comprehensive understanding of system model structure design. The fourth part is the core of the study, which describes the k-means clustering algorithm from two aspects: the initial center point-optimized k-means algorithm and the clustering center-optimized k-means optimal clustering number analysis. The last part of the study is the work summary of the whole study.


## 2. Related Work

### 2.1. English Reading Mobile Teaching Model

In reading teaching, teachers mainly consider reading interest, thinking ability, and lifelong reading. The purpose of reading teaching is not to understand the articles encountered in class. It is to help students form a strong interest in reading, read voluntarily even after class, and help them form the ability of lifelong English reading. The Internet has made it possible for people around the world to access information easily and cheaply, and more and more people are using e-mail every day to browse information online, etc. Mobile learning can connect these teaching resources and learning resources to form a shared resource across time and space, which is well complementary to the current teaching system. Moreover, this flexible mobile learning method can enable learners to choose their favorite learning content, learning time and place, and so on, which enhances the development direction of personalized learning mode.Wu and Perng must be able to effectively provide two-way communication between teachers and learners [16]. Machmud and Abdulah’s annual report on China’s mobile phone market research reflects the current situation of sales and use of mobile devices, but it is easy to regard mobile learning as an accessory of mobile devices, and the research lacks theoretical support [17]. Wang and Bai suggested that colleges and universities should make full use of information technology to create a diversified teaching and learning environment—“Internet plus” is constantly advancing and “Digital China” is sailing [18]. Joo Nagata et al. launched a research project Wire Andrew, which finally enabled teachers and students on campus to enjoy the convenience brought by mobile learning supported by wireless communication technology [19]. Xiao-Lu et al. think that the important way of English reading teaching reform is to use information technology to assist teaching. To expand the space for interaction between teachers and students, many teachers use online teaching platform, WeChat, QQ, and other reading teaching practices to expand the space for interaction between teachers and students [20].Nowadays, with the wide popularity of smartphones in China, they have become the most suitable terminal device for mobile learning due to their convenient carrying and various functions. The relevant technical support of smartphones is also constantly improving. I believe that with the realization of wireless network technology and the continuous progress of manufacturers in production technology innovation, the functions of smartphones will be more perfect. Mobile learning based on smartphones will usher in a promising future.


### 2.2.K-Means Algorithm

Mobile learning is a new learning mode after digital learning. Besides the multimedia, interactivity, and autonomy of e-learning, it also has the characteristics of learning convenience, contextual relevance, practicality, and personalization. Among many clustering algorithms, thek-means algorithm is the most representative algorithm and one of the most studied and widely used clustering algorithms because of its easy implementation, good convergence, and good statistical significance for numerical attribute data.Kurinjivendhan and Thangadurai began to continuously combine algorithms in other fields with traditional clustering algorithms, resulting in a fusion clustering algorithm combining immune algorithm, ant colony algorithm, genetic algorithm, and other intelligent algorithms [21]. Swapna et al. believe that clustering can also help market analysts describe the characteristics of customer groups, to help market analysts find different customer groups according to customers’ purchase habits [22]. Pérez et al. divided all data point sets into several classes or clusters and combined them with some standards, such as similarity measurement, to ensure the maximum similarity between data points in each cluster, so as to find effective, novel, and useful data distribution in the data set [23]. Suryawanshi and Puthran combined the fuzzy set theory with the clustering algorithm to produce a fuzzy clustering algorithm, which is different from the traditional hard partition clustering algorithm. Each data object in the data set can no longer belong to only one class, and the membership degree of the data object to the class can no longer be strictly 0 or 1, but can be expressed by numerical values within the range of [0, 1] [24]. Xu et al. proposed that most clustering algorithms are still good at dealing with low-dimensional data (such as two- to three-dimensional data). Generally, in the case of three-dimensional data, it is easy to judge the quality of clustering [25].For the research of clustering, the focus of future research will also be to continue to explore the combination of clustering analysis technology and other fields, turn more to the practical application research of clustering analysis, and do more research on how to apply clustering analysis methods to business, life, geography, biology, astronomy, and other fields more effectively.


## 2.1. English Reading Mobile Teaching Model

In reading teaching, teachers mainly consider reading interest, thinking ability, and lifelong reading. The purpose of reading teaching is not to understand the articles encountered in class. It is to help students form a strong interest in reading, read voluntarily even after class, and help them form the ability of lifelong English reading. The Internet has made it possible for people around the world to access information easily and cheaply, and more and more people are using e-mail every day to browse information online, etc. Mobile learning can connect these teaching resources and learning resources to form a shared resource across time and space, which is well complementary to the current teaching system. Moreover, this flexible mobile learning method can enable learners to choose their favorite learning content, learning time and place, and so on, which enhances the development direction of personalized learning mode.Wu and Perng must be able to effectively provide two-way communication between teachers and learners [16]. Machmud and Abdulah’s annual report on China’s mobile phone market research reflects the current situation of sales and use of mobile devices, but it is easy to regard mobile learning as an accessory of mobile devices, and the research lacks theoretical support [17]. Wang and Bai suggested that colleges and universities should make full use of information technology to create a diversified teaching and learning environment—“Internet plus” is constantly advancing and “Digital China” is sailing [18]. Joo Nagata et al. launched a research project Wire Andrew, which finally enabled teachers and students on campus to enjoy the convenience brought by mobile learning supported by wireless communication technology [19]. Xiao-Lu et al. think that the important way of English reading teaching reform is to use information technology to assist teaching. To expand the space for interaction between teachers and students, many teachers use online teaching platform, WeChat, QQ, and other reading teaching practices to expand the space for interaction between teachers and students [20].Nowadays, with the wide popularity of smartphones in China, they have become the most suitable terminal device for mobile learning due to their convenient carrying and various functions. The relevant technical support of smartphones is also constantly improving. I believe that with the realization of wireless network technology and the continuous progress of manufacturers in production technology innovation, the functions of smartphones will be more perfect. Mobile learning based on smartphones will usher in a promising future.


## 2.2.K-Means Algorithm

Mobile learning is a new learning mode after digital learning. Besides the multimedia, interactivity, and autonomy of e-learning, it also has the characteristics of learning convenience, contextual relevance, practicality, and personalization. Among many clustering algorithms, thek-means algorithm is the most representative algorithm and one of the most studied and widely used clustering algorithms because of its easy implementation, good convergence, and good statistical significance for numerical attribute data.Kurinjivendhan and Thangadurai began to continuously combine algorithms in other fields with traditional clustering algorithms, resulting in a fusion clustering algorithm combining immune algorithm, ant colony algorithm, genetic algorithm, and other intelligent algorithms [21]. Swapna et al. believe that clustering can also help market analysts describe the characteristics of customer groups, to help market analysts find different customer groups according to customers’ purchase habits [22]. Pérez et al. divided all data point sets into several classes or clusters and combined them with some standards, such as similarity measurement, to ensure the maximum similarity between data points in each cluster, so as to find effective, novel, and useful data distribution in the data set [23]. Suryawanshi and Puthran combined the fuzzy set theory with the clustering algorithm to produce a fuzzy clustering algorithm, which is different from the traditional hard partition clustering algorithm. Each data object in the data set can no longer belong to only one class, and the membership degree of the data object to the class can no longer be strictly 0 or 1, but can be expressed by numerical values within the range of [0, 1] [24]. Xu et al. proposed that most clustering algorithms are still good at dealing with low-dimensional data (such as two- to three-dimensional data). Generally, in the case of three-dimensional data, it is easy to judge the quality of clustering [25].For the research of clustering, the focus of future research will also be to continue to explore the combination of clustering analysis technology and other fields, turn more to the practical application research of clustering analysis, and do more research on how to apply clustering analysis methods to business, life, geography, biology, astronomy, and other fields more effectively.


## 3. Design Method of Mobile Teaching Mode Supported byK-Means Algorithm

### 3.1. System Structure Design

Constructivist learning theory emphasizes student-centered, which not only requires students to change from the passive recipient of external stimulation and the object of knowledge indoctrination to the subject of information processing and the active builder of knowledge meaning [26]. The construction of mobile teaching mode is that learners use smartphone terminals to access the Internet through a network connection to obtain the required resources, view and browse the required knowledge, and interact in real time. Similar to the previous work and learning through the computer client, the “learning”-centered instructional design theory is put forward in accordance with the above requirements of the constructivist learning environment [27]. Therefore, naturally, the learning theory of constructivism has become the theoretical basis of “learning”-centered instructional design [28]. Mobile learning integrates new technologies such as authenticity, personalization, situational intelligence, multiple perceptual interaction, and demand learning, as well as multimedia, Internet, and mobile devices into the field of education and training. The theoretical basis of mobile learning is shown in Figure 1.Figure 1
Theoretical basis of mobile learning.First of all, the resource and management platform of the system is based on a standard WAP server and a short message server, providing two forms of learners’ access: accessing WAP server through mobile Internet; the SMS server is accessed through the SMS gateway. Therefore, the original measurement can be transformed into unitless variables to achieve the purpose of standardizing variables. Given the measurement value of a variable, it is standardized as follows:(1)Sf=1nx1f−mf+x2f−mf+⋯+xnf−mf.x1f,x2f,xnf—n metrics of f.mf—mean value of f.Users can download the latest course information, browse the school library, and complete the self-service library information collection in the client. At the same time, it has more than one million e-books, a large number of newspaper articles, and Chinese and foreign literature metadata, providing users with convenient and fast mobile learning services [29]. Symmetric binary dissimilarity is mainly aimed at symmetric binary variables. Symmetric binary variables have the same weight. According to the dependency table of binary variables shown in the table, the dependency of object i and object j can be defined as follows:(2)di,j=r+sq+r+s+t.The dissimilarity between the nominal variable objecti and object j can be calculated according to the mismatch rate. The formula has the following definitions:(3)di,j=p−mp.Secondly, users can use terminal devices to access WAP servers or short message servers through different networks. Administrators are responsible for assigning registered users’ system user names and passwords and maintaining resource databases, including user information, learning resources, and various opinions and messages transmitted among users. Before giving the formula for calculating the similarity function of vector objects, the concept of Euclidean norm is introduced. The Euclidean norm of vectorx=x1,x2,…,xp is defined as follows:(4)x12+x22+⋯+xp2.WAP server is a client/server application, which is essentially different from browser/server application [30]. WAP server has the basic functions of notification, check-in, grouping, discussion, uploading and downloading, homework, voting, scoring, statistics, and so on. It helps to record the learning process and learning activities in real time and carry out teaching research. As long as providers set up “Wi-Fi hotspots” in places such as airports, stations, and libraries, mobile learners can learn through wireless networks. The WAP application field is quite rich, and its biggest feature is the flexibility of the system structure and the openness of the protocol. The WAP application structure model is shown in Figure 2.Figure 2
WAP application structure model.Finally, the mobile users use wireless terminal equipment, access the Internet through wireless WAP gateway, visit the teaching server, and browse, query, and interact in real time. Mobile learning resources based on thek-means should have unified standards and specifications, because the current smartphone system and page layout screen size are not quite the same, with unified standards and specifications to make different devices realize the sharing of resources. Mobile learning resources based on k-means should take into full consideration the characteristics of mobile devices, and the mobile learning contents should be designed to be short and concise, with little connection between knowledge, and try to highlight the sense of learning achievement of each breakthrough, which is conducive to the learning of learners in their leisure time. Therefore, using cosine to measure the similarity of vector object variables has a variant with the following definition:(5)sx,y=x′yx′x+y′y+x′y.The mobile teaching mode can receive the customized subject knowledge short message; that is, according to the relevant data set by the user in advance, it can receive the related concepts of subject knowledge in the form of short message regularly and quantitatively. After the questionnaire survey, 70 students found that 39 students (55%) believed that mobile reading learning provided rich and real reading materials, could obtain real and authentic language input, and increased their interest in English reading. 31 students (44%) believed that the learning model was helpful to enhance autonomous learning ability. The design of smartphone mobile learning teaching mode should not only follow the characteristics of learners but also carry out humanized design according to the learning law. The learning content should be from easy to difficult; otherwise, it will discourage learners from learning and make them give up learning.


### 3.2. Design and Implementation Method of System Function

The system platform is based on mobile communication network and Internet and uses browser/server (B/S) structure. Using thek-means algorithm, cluster analysis is carried out on four attributes: total score, listening score, reading score, and composition translation score. The mobile learning system includes mobile communication terminal equipment, mobile communication network, mobile terminal application software, Internet, mobile learning portal, and mobile learning support services as shown in Figure 3.Figure 3
System model diagram.Firstly, the resource server is used to store teaching resources, learners’ learning situation, and personal information. As the name suggests, this server uses the functions of the mobile phone itself to learn; that is, it can learn through the functions of the mobile phone’s own software, such as audio player and electronic dictionary. It can also download the learning resources to the mobile phone in advance and use the mobile phone player function to play the e-learning resources. In particular, each data object is treated as a class cluster, and these small class clusters are gradually merged into larger classes in the iterative process until all data objects are included in the same class or meet the termination conditions. Given a data setS that needs cluster analysis and statistics, suppose there are n data objects, the value of a parameter k is entered, and then the classifier is used to classify the objective function to be processed into different categories. The most commonly used objective function is the square error criterion function, which is defined as follows:(6)E=∑i=1k∑j∈Nixj−cj2.Secondly, the SMS server is used to store users’ personal data and teaching resources. Learners can learn collaboratively through chat communication APP, communicate and complement each other, enhance learning confidence, increase emotional communication between people, reduce loneliness, improve learners’ learning motivation and learning enthusiasm through social software and resource sharing, and achieve ideal learning effect.K-means mines hyperlinks in pages, because the center of hyperlinks contains a lot of useful information. Assuming that n data objects are divided into k clusters, the average distance between data objects and other data objects in j class is as follows:(7)wi,j=1nc−1∑p=1,p≠1njxpj−xij.The goal is to generate a structural summary of Web sites and Web pages. It is necessary to give the number of clustersk value in advance, and this k value is obtained according to the user’s experience. At the same time, learners can connect to the resource server through the Internet and upload their own resources. In addition, learners can also obtain learning resources by customizing SMS services for relevant subjects or categories. Under the overall arrangement of teachers, students can form temporary groups according to their favorite reading interests to form reading circles. Teachers regularly organize activities of reading circle groups.Finally, the discussion module mainly includes three parts: online learning, online school, and learning community, which is the key to ensure the normal learning in mobile, and is directly related to the efficiency of mobile learning. The number of object points is defined in the area where the density parameter of data objectxi is densityΔxiΔMeandistΔ and the average distance of sample meandist is radius:(8)densityxi,meandist=∑j=1numeandist−dxi,xj.In particular, it extracts the patterns that users are interested in from the users’ network behavior and establishes the user behavior and interest model by collecting, analyzing, and processing the users’ browsing data (including IP address, URL, domain name, and access time). The IBWP value ofn samples is calculated in the data set, and then, the average value AVGibwpk is calculated. This average value becomes avgibwp, and k represents the number of clusters:(9)avgibwpk=1n∑j=1k∑i=1njIBWPi,j,kopt=max2≤k≤navgibwpk.These models are used to understand user behavior, so as to improve the site structure, including data preparation, pattern recognition, and pattern analysis.In network education, through the mining of Web access information, we can not only classify the Web course page content but also get the general knowledge about learners’ access behavior and ways and mine learners’ access behavior. Under the guidance of teachers, we must highlight the characteristics of student-centered, actively mobilize students’ learning initiative and consciousness, strengthen the interaction between teachers and students and various teaching resources in the process of English reading teaching, and create an equal, enlightening, sharing, interactive, cooperative, and harmonious teaching environment.


## 3.1. System Structure Design

Constructivist learning theory emphasizes student-centered, which not only requires students to change from the passive recipient of external stimulation and the object of knowledge indoctrination to the subject of information processing and the active builder of knowledge meaning [26]. The construction of mobile teaching mode is that learners use smartphone terminals to access the Internet through a network connection to obtain the required resources, view and browse the required knowledge, and interact in real time. Similar to the previous work and learning through the computer client, the “learning”-centered instructional design theory is put forward in accordance with the above requirements of the constructivist learning environment [27]. Therefore, naturally, the learning theory of constructivism has become the theoretical basis of “learning”-centered instructional design [28]. Mobile learning integrates new technologies such as authenticity, personalization, situational intelligence, multiple perceptual interaction, and demand learning, as well as multimedia, Internet, and mobile devices into the field of education and training. The theoretical basis of mobile learning is shown in Figure 1.Figure 1
Theoretical basis of mobile learning.First of all, the resource and management platform of the system is based on a standard WAP server and a short message server, providing two forms of learners’ access: accessing WAP server through mobile Internet; the SMS server is accessed through the SMS gateway. Therefore, the original measurement can be transformed into unitless variables to achieve the purpose of standardizing variables. Given the measurement value of a variable, it is standardized as follows:(1)Sf=1nx1f−mf+x2f−mf+⋯+xnf−mf.x1f,x2f,xnf—n metrics of f.mf—mean value of f.Users can download the latest course information, browse the school library, and complete the self-service library information collection in the client. At the same time, it has more than one million e-books, a large number of newspaper articles, and Chinese and foreign literature metadata, providing users with convenient and fast mobile learning services [29]. Symmetric binary dissimilarity is mainly aimed at symmetric binary variables. Symmetric binary variables have the same weight. According to the dependency table of binary variables shown in the table, the dependency of object i and object j can be defined as follows:(2)di,j=r+sq+r+s+t.The dissimilarity between the nominal variable objecti and object j can be calculated according to the mismatch rate. The formula has the following definitions:(3)di,j=p−mp.Secondly, users can use terminal devices to access WAP servers or short message servers through different networks. Administrators are responsible for assigning registered users’ system user names and passwords and maintaining resource databases, including user information, learning resources, and various opinions and messages transmitted among users. Before giving the formula for calculating the similarity function of vector objects, the concept of Euclidean norm is introduced. The Euclidean norm of vectorx=x1,x2,…,xp is defined as follows:(4)x12+x22+⋯+xp2.WAP server is a client/server application, which is essentially different from browser/server application [30]. WAP server has the basic functions of notification, check-in, grouping, discussion, uploading and downloading, homework, voting, scoring, statistics, and so on. It helps to record the learning process and learning activities in real time and carry out teaching research. As long as providers set up “Wi-Fi hotspots” in places such as airports, stations, and libraries, mobile learners can learn through wireless networks. The WAP application field is quite rich, and its biggest feature is the flexibility of the system structure and the openness of the protocol. The WAP application structure model is shown in Figure 2.Figure 2
WAP application structure model.Finally, the mobile users use wireless terminal equipment, access the Internet through wireless WAP gateway, visit the teaching server, and browse, query, and interact in real time. Mobile learning resources based on thek-means should have unified standards and specifications, because the current smartphone system and page layout screen size are not quite the same, with unified standards and specifications to make different devices realize the sharing of resources. Mobile learning resources based on k-means should take into full consideration the characteristics of mobile devices, and the mobile learning contents should be designed to be short and concise, with little connection between knowledge, and try to highlight the sense of learning achievement of each breakthrough, which is conducive to the learning of learners in their leisure time. Therefore, using cosine to measure the similarity of vector object variables has a variant with the following definition:(5)sx,y=x′yx′x+y′y+x′y.The mobile teaching mode can receive the customized subject knowledge short message; that is, according to the relevant data set by the user in advance, it can receive the related concepts of subject knowledge in the form of short message regularly and quantitatively. After the questionnaire survey, 70 students found that 39 students (55%) believed that mobile reading learning provided rich and real reading materials, could obtain real and authentic language input, and increased their interest in English reading. 31 students (44%) believed that the learning model was helpful to enhance autonomous learning ability. The design of smartphone mobile learning teaching mode should not only follow the characteristics of learners but also carry out humanized design according to the learning law. The learning content should be from easy to difficult; otherwise, it will discourage learners from learning and make them give up learning.


## 3.2. Design and Implementation Method of System Function

The system platform is based on mobile communication network and Internet and uses browser/server (B/S) structure. Using thek-means algorithm, cluster analysis is carried out on four attributes: total score, listening score, reading score, and composition translation score. The mobile learning system includes mobile communication terminal equipment, mobile communication network, mobile terminal application software, Internet, mobile learning portal, and mobile learning support services as shown in Figure 3.Figure 3
System model diagram.Firstly, the resource server is used to store teaching resources, learners’ learning situation, and personal information. As the name suggests, this server uses the functions of the mobile phone itself to learn; that is, it can learn through the functions of the mobile phone’s own software, such as audio player and electronic dictionary. It can also download the learning resources to the mobile phone in advance and use the mobile phone player function to play the e-learning resources. In particular, each data object is treated as a class cluster, and these small class clusters are gradually merged into larger classes in the iterative process until all data objects are included in the same class or meet the termination conditions. Given a data setS that needs cluster analysis and statistics, suppose there are n data objects, the value of a parameter k is entered, and then the classifier is used to classify the objective function to be processed into different categories. The most commonly used objective function is the square error criterion function, which is defined as follows:(6)E=∑i=1k∑j∈Nixj−cj2.Secondly, the SMS server is used to store users’ personal data and teaching resources. Learners can learn collaboratively through chat communication APP, communicate and complement each other, enhance learning confidence, increase emotional communication between people, reduce loneliness, improve learners’ learning motivation and learning enthusiasm through social software and resource sharing, and achieve ideal learning effect.K-means mines hyperlinks in pages, because the center of hyperlinks contains a lot of useful information. Assuming that n data objects are divided into k clusters, the average distance between data objects and other data objects in j class is as follows:(7)wi,j=1nc−1∑p=1,p≠1njxpj−xij.The goal is to generate a structural summary of Web sites and Web pages. It is necessary to give the number of clustersk value in advance, and this k value is obtained according to the user’s experience. At the same time, learners can connect to the resource server through the Internet and upload their own resources. In addition, learners can also obtain learning resources by customizing SMS services for relevant subjects or categories. Under the overall arrangement of teachers, students can form temporary groups according to their favorite reading interests to form reading circles. Teachers regularly organize activities of reading circle groups.Finally, the discussion module mainly includes three parts: online learning, online school, and learning community, which is the key to ensure the normal learning in mobile, and is directly related to the efficiency of mobile learning. The number of object points is defined in the area where the density parameter of data objectxi is densityΔxiΔMeandistΔ and the average distance of sample meandist is radius:(8)densityxi,meandist=∑j=1numeandist−dxi,xj.In particular, it extracts the patterns that users are interested in from the users’ network behavior and establishes the user behavior and interest model by collecting, analyzing, and processing the users’ browsing data (including IP address, URL, domain name, and access time). The IBWP value ofn samples is calculated in the data set, and then, the average value AVGibwpk is calculated. This average value becomes avgibwp, and k represents the number of clusters:(9)avgibwpk=1n∑j=1k∑i=1njIBWPi,j,kopt=max2≤k≤navgibwpk.These models are used to understand user behavior, so as to improve the site structure, including data preparation, pattern recognition, and pattern analysis.In network education, through the mining of Web access information, we can not only classify the Web course page content but also get the general knowledge about learners’ access behavior and ways and mine learners’ access behavior. Under the guidance of teachers, we must highlight the characteristics of student-centered, actively mobilize students’ learning initiative and consciousness, strengthen the interaction between teachers and students and various teaching resources in the process of English reading teaching, and create an equal, enlightening, sharing, interactive, cooperative, and harmonious teaching environment.


## 4. Analysis ofK-Means Clustering Algorithm

### 4.1. Analysis ofK-Means Algorithm for Initial Center Point Optimization

To avoid selecting isolated points or edge points as the initial center points of clustering, data objects should be selected as the initial clustering centers from areas with dense data sets. In particular, to randomly selectK objects from numerous objects, each object represents an initial cluster center, the remaining other objects are divided into corresponding objects again according to their distance from each center object, and then, the new mean value of each cluster is calculated. This process is repeated until the criterion function converges. The experiment includes the clustering analysis of three algorithms, the traditional k-means algorithm, the improved k-means algorithm, and the initial center point-optimized k-means algorithm proposed in this chapter, which are tested on three UCI data sets, respectively, and the results are shown in Tables 1 and 2.Table 1
Experimental comparison of three algorithms in Iris data set.
AlgorithmInitial center pointAccuracy (%)Average valueTraditionalk-means671896868Improvedk-means algorithm356918282Algorithm in this study983579393Table 2
Experimental comparison of three algorithms in Wine data set.
AlgorithmInitial center pointAccuracy (%)Average valueTraditionalk-means774567474Improvedk-means algorithm467398585Algorithm in this study1098569797Firstly, the density of sample objectxi is centered on xi, and the distance from the nearest minpts (constant) data objects is called the density parameter of object xi. It is expressed in ε. The larger the value of ε, the lower the data density of the area where the data object xi is located, and the smaller the value of ε, the higher the density of the area where the data object is located. Similar entities are in the same cluster, different entities are in different clusters, and the distance between any point in the same cluster is less than that of any point in different clusters. When the number of clusters is checked, when the value of ε changes, the initial center points of different clusters are different, and the clustering results are not well contrasted, so there will be some deviations when comparing the clustering results. Therefore, the density of all objects is calculated, and then, k objects with higher density are selected as initial clustering centers. The index is used to express the clustering validity, AIBWP is the index used to evaluate the clustering validity in this study, the value of AIBWP is the average value of the clustering validity index IBWP of all samples in the data set, and the value of IBWP is expressed by the ratio of the clustering deviation distance of samples to the clustering distance of samples. Figure 4 shows the cluster number of Iris data set index value, and Figure 5 shows the cluster number of Wine data set index value.Figure 4
Cluster number of Iris data set index value.Figure 5
Cluster number of Wine data set index value.Secondly, by calculating the density parameters of each data object, we can find the data object points in the high-density area, to get a set of objects away from the density points. For the remaining objects, they are assigned to the clusters most similar to them (represented by the cluster center) according to their similarity (distance) with these cluster centers. Data objects are divided into different clusters. The division standard is to make the data or objects in the same cluster similar or even small difference, and the data or objects in different clusters are different.M-dist value can better reflect the relationship between the sample object and its adjacent data objects, better reflect whether the object points are in dense areas, and also reflect the structural distribution of the data set to a certain extent.Finally, the data object with the smallestε value is selected as the first initial clustering center zI in the high-density point object set D; then, a high-density object farthest from zI is taken as the second initial clustering center s; the distance from xj to zI and z2 of each data object in D is calculated. The cluster center of each new cluster (the average value of all objects in the cluster) is calculated; this process is repeated until the standard measure function begins to converge. The density parameter m-dist values of all data objects in the data set are calculated, and the average meandist of the m-dist values of all data objects is calculated to obtain the set C of density values of all data objects in the data set.In the setC obtained by this method, there are relatively scattered object points in dense areas. When iteratively searching the number of clusters, the object points from the set C are selected as the initial cluster center every time. Sample delivery can avoid selecting isolated points or noise data in the data set as the cluster center. In addition to belonging to data mining, clustering can also be used as an independent tool to obtain the data distribution and get the characteristics of each cluster, to further analyze some interesting clusters.


### 4.2.K-Means Optimal Cluster Number Analysis Based on Cluster Center Optimization

The selection of the initial centroids of the k-means algorithm requires that the selected centroids can well reflect the relationship between the objects and the distribution characteristics of the data, which has a great impact on the accuracy and stability of the clustering results and the clustering efficiency.First of all, the similarity measure between data objects is generally adopted as Euclidean distance. When the more data points around the data object in a given spatial range, it means that the data object is more favorable to the convergence of the objective function as the central point of clustering. A group of related sets is divided into several categories according to a certain similarity function or similarity criterion, so that the differences between individuals in the same category can be minimized byn vectors in a given M-dimensional space Rm, and each vector is assigned to one of S clusters, so that the distance between each vector and its cluster center is the smallest. The operation steps of using infrared mode are relatively simple. First, the infrared adapter is installed on the computer and then your mobile phone has turned on the infrared transmission function is ensured. Next, the infrared port of the mobile phone is set opposite to the infrared adapter of the computer (the distance should not be too far, and it is best to be within 5 cm). The initial clustering center selects objects that are as far away as possible to obtain a better partition of the object set. The experiments were conducted using the improved k-means algorithm, the clustering center optimization k-means algorithm, and the traditional k-means algorithm, respectively, and the experimental results were analyzed in terms of running time and accuracy, and the experimental results are shown in Figure 6 for comparison.Figure 6
Accuracy comparison.Secondly, an initial cluster center candidate setU is generated for searching the number of clusters, and the number of elements in U is set as intn according to the proven a priori rules. Therefore, the algorithm first optimizes the selection method of the initial center point and obtains a better candidate set of necessary points in the initial clustering, so that only part of the initial center points can be changed when the number of clusters is different, which not only enhances the stability of clustering but also increases the comparison of the index values calculated when the number of clusters is different. The farthest sample from it and the initial center of the first type are excluded, and the rest is taken as the second type. Then, taking a given positive number di as the radius, a spherical field is drawn in the feature space, and finally, the number of sample points falling into the space area is calculated, that is, the density of the sample points. If all data samples are included in a class, then the mean value of all data can be regarded as the initial center of the first class. The purpose is mainly to prevent the situation where the selected initial clustering centers are all selected in the same cluster, and there are no clustering centers in the small clusters; i.e., the initial clustering centers are selected too close to each other causing bad clustering, when applying the clustering algorithm. The running time comparison between the KCR algorithm and the algorithm proposed in this section is shown in Figure 7.Figure 7
Comparison of running time.Finally, in addition to the selected cluster center, the other samples in the data setU are divided into the nearest cluster. The point with the maximum density is selected as the first initial center, which represents the highest peak point of data distribution density. The necessary distance from other data objects to the cluster is calculated, and then, each data object is divided into the class to which the nearest center point belongs. The purpose of this is to avoid the situation that the selected representative points are too dense. By analogy with this method, we can finally select an initial cluster center. The clustering center optimization k-means algorithm and Kad algorithm are improved algorithms for the initial center. They have certain advantages over the Kad algorithm in accuracy. Therefore, they have certain advantages over clustering center optimization k-means algorithm in low-dimensional data. For more obvious observation, see Figure 8.Figure 8
Comparison of accuracy.Usingk-means in the mobile learning platform, through the use of mining technology, we can make the website have intelligent behavior, analyze students’ learning situation and behavior, and mine students’ access patterns and learning interests.


## 4.1. Analysis ofK-Means Algorithm for Initial Center Point Optimization

To avoid selecting isolated points or edge points as the initial center points of clustering, data objects should be selected as the initial clustering centers from areas with dense data sets. In particular, to randomly selectK objects from numerous objects, each object represents an initial cluster center, the remaining other objects are divided into corresponding objects again according to their distance from each center object, and then, the new mean value of each cluster is calculated. This process is repeated until the criterion function converges. The experiment includes the clustering analysis of three algorithms, the traditional k-means algorithm, the improved k-means algorithm, and the initial center point-optimized k-means algorithm proposed in this chapter, which are tested on three UCI data sets, respectively, and the results are shown in Tables 1 and 2.Table 1
Experimental comparison of three algorithms in Iris data set.
AlgorithmInitial center pointAccuracy (%)Average valueTraditionalk-means671896868Improvedk-means algorithm356918282Algorithm in this study983579393Table 2
Experimental comparison of three algorithms in Wine data set.
AlgorithmInitial center pointAccuracy (%)Average valueTraditionalk-means774567474Improvedk-means algorithm467398585Algorithm in this study1098569797Firstly, the density of sample objectxi is centered on xi, and the distance from the nearest minpts (constant) data objects is called the density parameter of object xi. It is expressed in ε. The larger the value of ε, the lower the data density of the area where the data object xi is located, and the smaller the value of ε, the higher the density of the area where the data object is located. Similar entities are in the same cluster, different entities are in different clusters, and the distance between any point in the same cluster is less than that of any point in different clusters. When the number of clusters is checked, when the value of ε changes, the initial center points of different clusters are different, and the clustering results are not well contrasted, so there will be some deviations when comparing the clustering results. Therefore, the density of all objects is calculated, and then, k objects with higher density are selected as initial clustering centers. The index is used to express the clustering validity, AIBWP is the index used to evaluate the clustering validity in this study, the value of AIBWP is the average value of the clustering validity index IBWP of all samples in the data set, and the value of IBWP is expressed by the ratio of the clustering deviation distance of samples to the clustering distance of samples. Figure 4 shows the cluster number of Iris data set index value, and Figure 5 shows the cluster number of Wine data set index value.Figure 4
Cluster number of Iris data set index value.Figure 5
Cluster number of Wine data set index value.Secondly, by calculating the density parameters of each data object, we can find the data object points in the high-density area, to get a set of objects away from the density points. For the remaining objects, they are assigned to the clusters most similar to them (represented by the cluster center) according to their similarity (distance) with these cluster centers. Data objects are divided into different clusters. The division standard is to make the data or objects in the same cluster similar or even small difference, and the data or objects in different clusters are different.M-dist value can better reflect the relationship between the sample object and its adjacent data objects, better reflect whether the object points are in dense areas, and also reflect the structural distribution of the data set to a certain extent.Finally, the data object with the smallestε value is selected as the first initial clustering center zI in the high-density point object set D; then, a high-density object farthest from zI is taken as the second initial clustering center s; the distance from xj to zI and z2 of each data object in D is calculated. The cluster center of each new cluster (the average value of all objects in the cluster) is calculated; this process is repeated until the standard measure function begins to converge. The density parameter m-dist values of all data objects in the data set are calculated, and the average meandist of the m-dist values of all data objects is calculated to obtain the set C of density values of all data objects in the data set.In the setC obtained by this method, there are relatively scattered object points in dense areas. When iteratively searching the number of clusters, the object points from the set C are selected as the initial cluster center every time. Sample delivery can avoid selecting isolated points or noise data in the data set as the cluster center. In addition to belonging to data mining, clustering can also be used as an independent tool to obtain the data distribution and get the characteristics of each cluster, to further analyze some interesting clusters.


## 4.2.K-Means Optimal Cluster Number Analysis Based on Cluster Center Optimization

The selection of the initial centroids of the k-means algorithm requires that the selected centroids can well reflect the relationship between the objects and the distribution characteristics of the data, which has a great impact on the accuracy and stability of the clustering results and the clustering efficiency.First of all, the similarity measure between data objects is generally adopted as Euclidean distance. When the more data points around the data object in a given spatial range, it means that the data object is more favorable to the convergence of the objective function as the central point of clustering. A group of related sets is divided into several categories according to a certain similarity function or similarity criterion, so that the differences between individuals in the same category can be minimized byn vectors in a given M-dimensional space Rm, and each vector is assigned to one of S clusters, so that the distance between each vector and its cluster center is the smallest. The operation steps of using infrared mode are relatively simple. First, the infrared adapter is installed on the computer and then your mobile phone has turned on the infrared transmission function is ensured. Next, the infrared port of the mobile phone is set opposite to the infrared adapter of the computer (the distance should not be too far, and it is best to be within 5 cm). The initial clustering center selects objects that are as far away as possible to obtain a better partition of the object set. The experiments were conducted using the improved k-means algorithm, the clustering center optimization k-means algorithm, and the traditional k-means algorithm, respectively, and the experimental results were analyzed in terms of running time and accuracy, and the experimental results are shown in Figure 6 for comparison.Figure 6
Accuracy comparison.Secondly, an initial cluster center candidate setU is generated for searching the number of clusters, and the number of elements in U is set as intn according to the proven a priori rules. Therefore, the algorithm first optimizes the selection method of the initial center point and obtains a better candidate set of necessary points in the initial clustering, so that only part of the initial center points can be changed when the number of clusters is different, which not only enhances the stability of clustering but also increases the comparison of the index values calculated when the number of clusters is different. The farthest sample from it and the initial center of the first type are excluded, and the rest is taken as the second type. Then, taking a given positive number di as the radius, a spherical field is drawn in the feature space, and finally, the number of sample points falling into the space area is calculated, that is, the density of the sample points. If all data samples are included in a class, then the mean value of all data can be regarded as the initial center of the first class. The purpose is mainly to prevent the situation where the selected initial clustering centers are all selected in the same cluster, and there are no clustering centers in the small clusters; i.e., the initial clustering centers are selected too close to each other causing bad clustering, when applying the clustering algorithm. The running time comparison between the KCR algorithm and the algorithm proposed in this section is shown in Figure 7.Figure 7
Comparison of running time.Finally, in addition to the selected cluster center, the other samples in the data setU are divided into the nearest cluster. The point with the maximum density is selected as the first initial center, which represents the highest peak point of data distribution density. The necessary distance from other data objects to the cluster is calculated, and then, each data object is divided into the class to which the nearest center point belongs. The purpose of this is to avoid the situation that the selected representative points are too dense. By analogy with this method, we can finally select an initial cluster center. The clustering center optimization k-means algorithm and Kad algorithm are improved algorithms for the initial center. They have certain advantages over the Kad algorithm in accuracy. Therefore, they have certain advantages over clustering center optimization k-means algorithm in low-dimensional data. For more obvious observation, see Figure 8.Figure 8
Comparison of accuracy.Usingk-means in the mobile learning platform, through the use of mining technology, we can make the website have intelligent behavior, analyze students’ learning situation and behavior, and mine students’ access patterns and learning interests.


## 5. Conclusions

K-means algorithm has become a typical algorithm in partition-based clustering algorithm because of its simplicity and rapidity. The fragmentation of mobile learning time determines the fragmentation of knowledge points of mobile learning resources, thus breaking the integrity of the learning system, so it is difficult to establish the knowledge structure of the system by relying solely on mobile learning. The traditional teaching mode has some challenges in practical application: for example, it requires students to have strong learning motivation and autonomy, and teachers should intervene and supervise in time; otherwise, students’ participation will be reduced. When there is a big difference between classes in the data set, using the k-means clustering algorithm to cluster will get good clustering results.Therefore, based on the relevant theory and demand analysis, this study designs and develops a mobile teaching model of English reading based on thek-means algorithm. It provides a realistic basis for the design of mobile learning teaching model, adds practical application cases to mobile learning theory, and solves the problems of lack of situational interaction and limitation of learning time and place in traditional English teaching. The article focuses on the ideas and implementation principles of the traditional k-means algorithm and analyzes in detail the initial centroid optimization k-means algorithm and some improvement algorithms to the k-means algorithm. The new model not only improves students’ initiative and interest in learning but also further expands teachers' teaching models and methods, making teaching more flexible and targeted. Teachers should take the initiative to learn and explore new technologies, apply mobile learning to English reading teaching, and constantly summarize and explore experience, so that students can feel the beauty of English and the beauty of colorful culture in reading.



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*Source: 3153845-2022-06-01.xml*