# Analysis of the Role of HS-HKRVM Analytic Hierarchy Process in the Evaluation of English Teaching Quality

Authors: Hui Li
Journal: Mobile Information Systems
 (2022)

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## Abstract

With the development of global market integration, the demand for English professionals in various industries is growing, and the professional standards for English professionals are also getting higher and higher. Therefore, English education is also faced with many opportunities and challenges; especially, the comprehensive education quality of English majors is becoming more and more prominent. The traditional teaching method using test scores as the evaluation standard leads to boring courses, students are not very interested in learning, and they cannot appreciate the charm of disciplines and majors, resulting in prominent problems in teaching form. This paper first analyzes the idea of the English learning quality evaluation system and then analyzes the English learning quality evaluation system based on HS-HKRVM. This paper also analyzes the construction of the English learning quality evaluation system based on the analysis layer process and finally studies the construction of the English learning quality evaluation system based on HS-HKRVM. Experiments show that HS-HKRVM can play a great role in the evaluation and improvement of English teaching quality.


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## Body

## 1. Introduction

With the development of economic globalization, English has become the most widely used language in the world. Due to the differences between Eastern and Western cultures and ways of thinking, as well as a variety of factors such as the late start of China’s development, there is a large gap between Chinese nationals and developed countries in terms of English understanding and learning. In order to narrow this gap and allow China to rapidly integrate into the development of the world economy, my country has started from the top level of English teaching. At the same time of development, problems are also arising. The increase in penetration rate also brings higher requirements for quality development. The effect of English teaching is also a demonstration of the comprehensive strength of our country and major English-speaking countries. Therefore, the research on the evaluation of English teaching quality has important practical significance.


## 2. Ideas for Constructing a Quality Evaluation System for College English Teaching

Currently, every university evaluates the quality of teacher education. This type of evaluation is usually carried out at the end of the semester, which is mainly to evaluate one or more courses taught by teachers to students via the Internet. Another situation is instruct the lecturer or the school’s special education department to enter the classroom to teach the teacher at a specific stage of the semester, so that the relevant personnel can understand the teaching situation [1].Nowadays, related personnel have to continuously improve the college English curriculum system. When it comes to perfecting the curriculum system, we need to establish a relatively complete quality evaluation management system based on comprehensive, practical, scientific, and objective methods. The following two aspects must be considered:(1)
Following the student-centered concept, students always play an important role in learning no matter how the teaching format changes. In English lecture courses, students directly participate in the learning process(2)
Teachers play a leading role in college English courses, which proves the great feasibility of the course. Therefore, teachers can adjust teaching methods and teaching concepts by the actual situation of the classroom and education. By combining the theoretical and practical skills of students and improving the comprehensive quality of the students taught, teachers can manage college English courses relatively more freely [2].


## 3. Evaluation of English Teaching Quality

### 3.1. Definition of Teaching Quality

Teaching quality refers to the degree to which teaching meets the needs of society. The quality of education is reflected in the purpose of education and the purpose of training. Student training norms describe the learning goals and training goals, that is, the main learning influence of students. The expected result is compared with the final result to get the degree of lag, which is used to measure the role of the teaching system in the teaching process and reflect the level of teaching quality. Therefore, quality reflects the difference between actual needs and satisfaction, while teaching quality reflects the difference between actual goals and results. In the past, due to the gap between the quality of research teaching, the purpose of learning, and the results of attention, the learning process was ignored, and it was difficult to achieve the expected learning goals [3].The relative learning quality method assumes that the standard uses the difference between learning objectives and learning outcomes to measure the quality of learning. The magnitude of these differences indicates that the learning activities are in line with the expected learning goal program. Teaching quality is measured by the difference between teaching and learning outcomes, but teaching quality is not equal to the quality of learning outcomes. The teaching process is the goal of teaching quality. This is why the teaching process is the key to improving the quality of teaching, and the standard for measuring the teaching process is the quality of learning outcomes.


### 3.2. The Meaning of Teaching Quality Evaluation

Teaching evaluation is based on learning goals and adheres to scientific standards. It uses all effective technical means to measure the teaching process and results and determine the value of the process. Teaching evaluation includes diagnosis, motivation, adjustment, and teaching functions, and there are many methods of teaching evaluation [4].


### 3.3. Implementation Methods of Teaching Evaluation

#### 3.3.1. Synthetical Scored Method

This method is used to evaluate indicators that cannot be quantitatively analyzed through combined dimensions. It uses dimensionless scores for comprehensive evaluation. The comprehensive scoring method is to first score each evaluation index according to the evaluation criteria of different indexes and then use weighted addition to obtain the total score.


#### 3.3.2. Synthetical Index Method

Based on the determination of the index system, the average value of the individual indexes of each index is used to calculate the comprehensive value of economic benefits, which is a comprehensive evaluation method.


#### 3.3.3. Analytic Hierarchy Process (AHP)

The goal is decomposed into several goals or criteria and then decomposed into several indexes at several levels. Fuzzy quantitative methods can be used to calculate single-level rankings and overall rankings. This is a systematic method of qualitative indicators, planning optimization, and decision-making. This method is usually used to determine indicator weights and can be evaluated more widely.


#### 3.3.4. TOPSIS Method

This is a general method of finite plan multiobjective decision analysis in system engineering. The limited evaluation and ranking method of ideal objects are to evaluate the relative attributes of existing objects according to the closeness of the objects.The TOPSIS method uses manual distribution for weight distribution. Obviously, the manual distribution method is not accurate, because the manual distribution method is easily affected by subjective preference, which leads to the inaccuracy of weight distribution. Therefore, researchers have proposed an improved method, which uses fuzzy mathematics to quantify fuzzy attribute values and uses information right to determine attribute weights. This better solves the problem that the weight distribution is affected by subjective preferences.In the content of this article, the author described the TOPSIS method as a general method for multiobjective decision analysis, but when using TOPSIS method for multiobjective decision analysis, its adaptability is low. Therefore, the researchers proposed the TOPSIS method based on RAGA, which can overcome the incompatibility problem of the traditional TOPSIS method to a certain extent.The TOPSIS method is a general method for multiobjective decision analysis. Multiattribute decision-making can be defined as follows: for a given set of options (discrete, limited), the decision-maker measures and evaluates the attribute value of each option according to the set of attributes and then uses certain decision criteria for comparison, so as to find the best sorting option.The author’s description of the TOPSIS method is relatively simple. This method is a common method for multiattribute decision analysis. Its basic idea is as follows: first establish the initial decision matrix, and then, it will find the best and worst solutions among the finite solutions (i.e., ideal solutions) based on the initial matrix and find the difference between them. Thus, the relative distance between the best plan and the worst plan is obtained and finally sorted out and used as the basis for evaluating the pros and cons of the plan.This paragraph mainly analyzes the TOPSIS method. The “ideal solution” and “negative ideal solution” in the TOPSIS method are the two main concepts of the TOPSIS method. The optimal solution (scheme) is called the ideal solution, and its value characteristics reach the best value among the alternatives, and the negative ideal solution is the worst solution (scheme) of its characteristics. The alternative rule is to compare each alternative with an ideal solution and a negative ideal solution. If one of the alternatives is closest to the ideal solution, but it is far from the negative ideal solution, then this is the best solution among the alternatives.


#### 3.3.5. Fuzzy Comprehensive Assessment

With its unique method of handling ambiguity, this method fully and scientifically embodies the idea of combining quantitative and qualitative, which can provide more accurate quantitative data, and it can also provide accurate evaluation results for indicators that are not easy to measure.


## 3.1. Definition of Teaching Quality

Teaching quality refers to the degree to which teaching meets the needs of society. The quality of education is reflected in the purpose of education and the purpose of training. Student training norms describe the learning goals and training goals, that is, the main learning influence of students. The expected result is compared with the final result to get the degree of lag, which is used to measure the role of the teaching system in the teaching process and reflect the level of teaching quality. Therefore, quality reflects the difference between actual needs and satisfaction, while teaching quality reflects the difference between actual goals and results. In the past, due to the gap between the quality of research teaching, the purpose of learning, and the results of attention, the learning process was ignored, and it was difficult to achieve the expected learning goals [3].The relative learning quality method assumes that the standard uses the difference between learning objectives and learning outcomes to measure the quality of learning. The magnitude of these differences indicates that the learning activities are in line with the expected learning goal program. Teaching quality is measured by the difference between teaching and learning outcomes, but teaching quality is not equal to the quality of learning outcomes. The teaching process is the goal of teaching quality. This is why the teaching process is the key to improving the quality of teaching, and the standard for measuring the teaching process is the quality of learning outcomes.


## 3.2. The Meaning of Teaching Quality Evaluation

Teaching evaluation is based on learning goals and adheres to scientific standards. It uses all effective technical means to measure the teaching process and results and determine the value of the process. Teaching evaluation includes diagnosis, motivation, adjustment, and teaching functions, and there are many methods of teaching evaluation [4].


## 3.3. Implementation Methods of Teaching Evaluation

### 3.3.1. Synthetical Scored Method

This method is used to evaluate indicators that cannot be quantitatively analyzed through combined dimensions. It uses dimensionless scores for comprehensive evaluation. The comprehensive scoring method is to first score each evaluation index according to the evaluation criteria of different indexes and then use weighted addition to obtain the total score.


### 3.3.2. Synthetical Index Method

Based on the determination of the index system, the average value of the individual indexes of each index is used to calculate the comprehensive value of economic benefits, which is a comprehensive evaluation method.


### 3.3.3. Analytic Hierarchy Process (AHP)

The goal is decomposed into several goals or criteria and then decomposed into several indexes at several levels. Fuzzy quantitative methods can be used to calculate single-level rankings and overall rankings. This is a systematic method of qualitative indicators, planning optimization, and decision-making. This method is usually used to determine indicator weights and can be evaluated more widely.


### 3.3.4. TOPSIS Method

This is a general method of finite plan multiobjective decision analysis in system engineering. The limited evaluation and ranking method of ideal objects are to evaluate the relative attributes of existing objects according to the closeness of the objects.The TOPSIS method uses manual distribution for weight distribution. Obviously, the manual distribution method is not accurate, because the manual distribution method is easily affected by subjective preference, which leads to the inaccuracy of weight distribution. Therefore, researchers have proposed an improved method, which uses fuzzy mathematics to quantify fuzzy attribute values and uses information right to determine attribute weights. This better solves the problem that the weight distribution is affected by subjective preferences.In the content of this article, the author described the TOPSIS method as a general method for multiobjective decision analysis, but when using TOPSIS method for multiobjective decision analysis, its adaptability is low. Therefore, the researchers proposed the TOPSIS method based on RAGA, which can overcome the incompatibility problem of the traditional TOPSIS method to a certain extent.The TOPSIS method is a general method for multiobjective decision analysis. Multiattribute decision-making can be defined as follows: for a given set of options (discrete, limited), the decision-maker measures and evaluates the attribute value of each option according to the set of attributes and then uses certain decision criteria for comparison, so as to find the best sorting option.The author’s description of the TOPSIS method is relatively simple. This method is a common method for multiattribute decision analysis. Its basic idea is as follows: first establish the initial decision matrix, and then, it will find the best and worst solutions among the finite solutions (i.e., ideal solutions) based on the initial matrix and find the difference between them. Thus, the relative distance between the best plan and the worst plan is obtained and finally sorted out and used as the basis for evaluating the pros and cons of the plan.This paragraph mainly analyzes the TOPSIS method. The “ideal solution” and “negative ideal solution” in the TOPSIS method are the two main concepts of the TOPSIS method. The optimal solution (scheme) is called the ideal solution, and its value characteristics reach the best value among the alternatives, and the negative ideal solution is the worst solution (scheme) of its characteristics. The alternative rule is to compare each alternative with an ideal solution and a negative ideal solution. If one of the alternatives is closest to the ideal solution, but it is far from the negative ideal solution, then this is the best solution among the alternatives.


### 3.3.5. Fuzzy Comprehensive Assessment

With its unique method of handling ambiguity, this method fully and scientifically embodies the idea of combining quantitative and qualitative, which can provide more accurate quantitative data, and it can also provide accurate evaluation results for indicators that are not easy to measure.


## 3.3.1. Synthetical Scored Method

This method is used to evaluate indicators that cannot be quantitatively analyzed through combined dimensions. It uses dimensionless scores for comprehensive evaluation. The comprehensive scoring method is to first score each evaluation index according to the evaluation criteria of different indexes and then use weighted addition to obtain the total score.


## 3.3.2. Synthetical Index Method

Based on the determination of the index system, the average value of the individual indexes of each index is used to calculate the comprehensive value of economic benefits, which is a comprehensive evaluation method.


## 3.3.3. Analytic Hierarchy Process (AHP)

The goal is decomposed into several goals or criteria and then decomposed into several indexes at several levels. Fuzzy quantitative methods can be used to calculate single-level rankings and overall rankings. This is a systematic method of qualitative indicators, planning optimization, and decision-making. This method is usually used to determine indicator weights and can be evaluated more widely.


## 3.3.4. TOPSIS Method

This is a general method of finite plan multiobjective decision analysis in system engineering. The limited evaluation and ranking method of ideal objects are to evaluate the relative attributes of existing objects according to the closeness of the objects.The TOPSIS method uses manual distribution for weight distribution. Obviously, the manual distribution method is not accurate, because the manual distribution method is easily affected by subjective preference, which leads to the inaccuracy of weight distribution. Therefore, researchers have proposed an improved method, which uses fuzzy mathematics to quantify fuzzy attribute values and uses information right to determine attribute weights. This better solves the problem that the weight distribution is affected by subjective preferences.In the content of this article, the author described the TOPSIS method as a general method for multiobjective decision analysis, but when using TOPSIS method for multiobjective decision analysis, its adaptability is low. Therefore, the researchers proposed the TOPSIS method based on RAGA, which can overcome the incompatibility problem of the traditional TOPSIS method to a certain extent.The TOPSIS method is a general method for multiobjective decision analysis. Multiattribute decision-making can be defined as follows: for a given set of options (discrete, limited), the decision-maker measures and evaluates the attribute value of each option according to the set of attributes and then uses certain decision criteria for comparison, so as to find the best sorting option.The author’s description of the TOPSIS method is relatively simple. This method is a common method for multiattribute decision analysis. Its basic idea is as follows: first establish the initial decision matrix, and then, it will find the best and worst solutions among the finite solutions (i.e., ideal solutions) based on the initial matrix and find the difference between them. Thus, the relative distance between the best plan and the worst plan is obtained and finally sorted out and used as the basis for evaluating the pros and cons of the plan.This paragraph mainly analyzes the TOPSIS method. The “ideal solution” and “negative ideal solution” in the TOPSIS method are the two main concepts of the TOPSIS method. The optimal solution (scheme) is called the ideal solution, and its value characteristics reach the best value among the alternatives, and the negative ideal solution is the worst solution (scheme) of its characteristics. The alternative rule is to compare each alternative with an ideal solution and a negative ideal solution. If one of the alternatives is closest to the ideal solution, but it is far from the negative ideal solution, then this is the best solution among the alternatives.


## 3.3.5. Fuzzy Comprehensive Assessment

With its unique method of handling ambiguity, this method fully and scientifically embodies the idea of combining quantitative and qualitative, which can provide more accurate quantitative data, and it can also provide accurate evaluation results for indicators that are not easy to measure.


## 4. English Teaching Quality Evaluation Based on HS-HKRVM

### 4.1. Improved HS Algorithm

(1)
Random Location Update. If the random location update strategy in the HS algorithm is shown as follows:
(1)xinew=xir+rand×xd−xir,(2)xd=F×xibest−xir,r∈1,2,⋯,HMS.(2)
Reverse Learning. The reverse learning strategy is shown as follows:
(3)xinew=xiU+xiL−xir,rand≤0.5xir,other.(3)
Small Probability Mutation. The small probability mutation operation is shown as follows:
(4)xinew=xiL+rand×xiU−xiL.(4)
Corrected Pitch Fine-Tuning Probability. Pitch fine-tuning probability PAR can be designed as shown as follows:
(5)PARt+1=PARmax‐PARminT⋅t+PARmin.In the formula,PARmax and PARmin are the maximum and minimum values of the pitch fine-tuning probability; PARt+1 is the t+1-th pitch fine-tuning probability [5].The improved HS algorithm process is shown in Figure1. The specific process is as follows.Figure 1
Improved HS algorithm flow.


### 4.2. Combined Core RVM

RVM can use kernel function mapping to realize the nonlinear transformation of data space, attribute space, and class space. Therefore, the choice of kernel function and kernel parameters directly affects the performance of RVM. The mathematical expression for forming the combined core RVM is shown as follows:(6)Kmin=βKpoly+1−βKGauss,β∈0,1.


### 4.3. Simulation Experiment

#### 4.3.1. Data Source

In order to verify the impact of the IHS-HKRVM model on the evaluation of English education quality, MATLAB 2015(b) in the Educational Reform Project of Yan University “Research on College English Teaching Mode” was selected as the software platform. A total of 3000 pieces of materials have been collected. In order to avoid excessive data isolation and reduce computational complexity, dimensionless processing is carried out. The processing formula is shown as follows:(7)rij=UijmaxUij,i=1,2,⋯,p;j=1,2,⋯,m.


#### 4.3.2. Result Analysis

The correlation coefficientR and mean absolute percentage error (MAPE) are selected as the evaluation indicators of English teaching quality evaluation, as shown as follows:
(8)R=∑k=1nxkx^k∑k=1nxk2∑k=1nx^k2,(9)MAPE=1n∑i=1nx^k−xkxk×100%.The parameters of the IHS algorithm are set as follows: the population size is 10, and the maximum number of iterations is 100. The 3000 data sets are divided into a training set and a test set, of which the first 2500 groups are used as the practice setting and the last. 500 sets are used as test sets. The evaluation results are shown in Figure2 [6].Figure 2
Evaluation results.Figure2 shows that the correlation coefficient of IHS-HKRVM for evaluating English teaching quality is R=0.943, and the evaluation accuracy rate is MAPE=94.74%. The correlation coefficient and evaluation accuracy are both high. It describes the effectiveness of IHSIHS-HKRVM in evaluating the quality of English teaching [7]. The researchers compared the analysis hierarchy process 4HKRVM and RVM. The comparison results are shown in Figure 3 and Table 1.Figure 3
Evaluation comparison results.
(a)
Analytic hierarchy process(b)
RVM(c)
HKRVM(d)
HS-HKRVMTable 1
Comparison results.
MethodRMAPEAnalytic hierarchy process0.63263.13%RVM0.72172.01%HKRVM0.82581.90%HS-HKRVM0.89391.89%IHS-HKRVM0.93995.02%


## 4.1. Improved HS Algorithm

(1)
Random Location Update. If the random location update strategy in the HS algorithm is shown as follows:
(1)xinew=xir+rand×xd−xir,(2)xd=F×xibest−xir,r∈1,2,⋯,HMS.(2)
Reverse Learning. The reverse learning strategy is shown as follows:
(3)xinew=xiU+xiL−xir,rand≤0.5xir,other.(3)
Small Probability Mutation. The small probability mutation operation is shown as follows:
(4)xinew=xiL+rand×xiU−xiL.(4)
Corrected Pitch Fine-Tuning Probability. Pitch fine-tuning probability PAR can be designed as shown as follows:
(5)PARt+1=PARmax‐PARminT⋅t+PARmin.In the formula,PARmax and PARmin are the maximum and minimum values of the pitch fine-tuning probability; PARt+1 is the t+1-th pitch fine-tuning probability [5].The improved HS algorithm process is shown in Figure1. The specific process is as follows.Figure 1
Improved HS algorithm flow.


## 4.2. Combined Core RVM

RVM can use kernel function mapping to realize the nonlinear transformation of data space, attribute space, and class space. Therefore, the choice of kernel function and kernel parameters directly affects the performance of RVM. The mathematical expression for forming the combined core RVM is shown as follows:(6)Kmin=βKpoly+1−βKGauss,β∈0,1.


## 4.3. Simulation Experiment

### 4.3.1. Data Source

In order to verify the impact of the IHS-HKRVM model on the evaluation of English education quality, MATLAB 2015(b) in the Educational Reform Project of Yan University “Research on College English Teaching Mode” was selected as the software platform. A total of 3000 pieces of materials have been collected. In order to avoid excessive data isolation and reduce computational complexity, dimensionless processing is carried out. The processing formula is shown as follows:(7)rij=UijmaxUij,i=1,2,⋯,p;j=1,2,⋯,m.


### 4.3.2. Result Analysis

The correlation coefficientR and mean absolute percentage error (MAPE) are selected as the evaluation indicators of English teaching quality evaluation, as shown as follows:
(8)R=∑k=1nxkx^k∑k=1nxk2∑k=1nx^k2,(9)MAPE=1n∑i=1nx^k−xkxk×100%.The parameters of the IHS algorithm are set as follows: the population size is 10, and the maximum number of iterations is 100. The 3000 data sets are divided into a training set and a test set, of which the first 2500 groups are used as the practice setting and the last. 500 sets are used as test sets. The evaluation results are shown in Figure2 [6].Figure 2
Evaluation results.Figure2 shows that the correlation coefficient of IHS-HKRVM for evaluating English teaching quality is R=0.943, and the evaluation accuracy rate is MAPE=94.74%. The correlation coefficient and evaluation accuracy are both high. It describes the effectiveness of IHSIHS-HKRVM in evaluating the quality of English teaching [7]. The researchers compared the analysis hierarchy process 4HKRVM and RVM. The comparison results are shown in Figure 3 and Table 1.Figure 3
Evaluation comparison results.
(a)
Analytic hierarchy process(b)
RVM(c)
HKRVM(d)
HS-HKRVMTable 1
Comparison results.
MethodRMAPEAnalytic hierarchy process0.63263.13%RVM0.72172.01%HKRVM0.82581.90%HS-HKRVM0.89391.89%IHS-HKRVM0.93995.02%


## 4.3.1. Data Source

In order to verify the impact of the IHS-HKRVM model on the evaluation of English education quality, MATLAB 2015(b) in the Educational Reform Project of Yan University “Research on College English Teaching Mode” was selected as the software platform. A total of 3000 pieces of materials have been collected. In order to avoid excessive data isolation and reduce computational complexity, dimensionless processing is carried out. The processing formula is shown as follows:(7)rij=UijmaxUij,i=1,2,⋯,p;j=1,2,⋯,m.


## 4.3.2. Result Analysis

The correlation coefficientR and mean absolute percentage error (MAPE) are selected as the evaluation indicators of English teaching quality evaluation, as shown as follows:
(8)R=∑k=1nxkx^k∑k=1nxk2∑k=1nx^k2,(9)MAPE=1n∑i=1nx^k−xkxk×100%.The parameters of the IHS algorithm are set as follows: the population size is 10, and the maximum number of iterations is 100. The 3000 data sets are divided into a training set and a test set, of which the first 2500 groups are used as the practice setting and the last. 500 sets are used as test sets. The evaluation results are shown in Figure2 [6].Figure 2
Evaluation results.Figure2 shows that the correlation coefficient of IHS-HKRVM for evaluating English teaching quality is R=0.943, and the evaluation accuracy rate is MAPE=94.74%. The correlation coefficient and evaluation accuracy are both high. It describes the effectiveness of IHSIHS-HKRVM in evaluating the quality of English teaching [7]. The researchers compared the analysis hierarchy process 4HKRVM and RVM. The comparison results are shown in Figure 3 and Table 1.Figure 3
Evaluation comparison results.
(a)
Analytic hierarchy process(b)
RVM(c)
HKRVM(d)
HS-HKRVMTable 1
Comparison results.
MethodRMAPEAnalytic hierarchy process0.63263.13%RVM0.72172.01%HKRVM0.82581.90%HS-HKRVM0.89391.89%IHS-HKRVM0.93995.02%


## 5. The Construction of English Teaching Quality Evaluation System Based on Analytic Hierarchy Process

### 5.1. Overview of Analytic Hierarchy Process

#### 5.1.1. Analytic Hierarchy Process Concept

AHP decomposes complex issues into an orderly hierarchical structure of objective, reference, and planning levels. It is a method of calculating weights using pairwise ratios. The qualitative and quantitative factors of decision-making are widely used in decision-making, prediction, and evaluation. It is a commonly used method in system engineering. The 9-scale method is commonly used [8]. However, the disadvantage of this method is that it has a different understanding of words with ambiguous meanings.However, the 9-scale method in the process of AHP is difficult to understand in terms of usability. In addition, different understanding scales for words with ambiguous meaning greatly affect the accuracy of the AHP method. Therefore, the researchers proposed an improved analytic hierarchy process, which uses the 3-scale method instead of the 9-scale method. The 3-scale method can effectively overcome the problem of the difficulty in accurately using words in the 9-scale method.When evaluating the quality of English teaching using the analytic hierarchy process, this article is often artificially evaluated. And the AHP method is used to directly calculate the weight of each level index in the teaching quality evaluation, and the calculation method is scientific and simple.However, when the analytic hierarchy process is used to evaluate the quality of English teaching, the human subjectivity is relatively strong, which makes the authenticity of the evaluation results not high. Therefore, researchers proposed to use an improved Gaussian membership function to make a fuzzy comprehensive evaluation of English teaching quality. This can reduce the subjective component of the evaluation, make the evaluation result more objective and true, and provide a scientific basis for employment decision-making.


#### 5.1.2. Characteristics of AHP

The analytic hierarchy process takes the research object as a single system, and it describes and compares the influence of various factors on the evaluation results of the entire system. Because the weight assigned to each level directly or indirectly affects the final evaluation result in the process of analytic hierarchy process, it is very clear and unambiguous to measure the degree of influence of each factor of each level on the final evaluation result. This method is particularly suitable for evaluating multiobjective, multistandard, and multiperiod systems. The analysis layer process is easy for decision-makers to understand and master. The basic principles and basic steps are very simple; the analytic hierarchy process is a way of thinking that imitates the human decision-making process [9].The author described in the article that the assignment of each scale in the judgment matrix is very arbitrary. Therefore, this kind of assignment method is more suitable for single-person decision-making, and the assignment method of each scale in the judgment matrix of the analytic hierarchy process will conflict with multiperson decision-making. In response to this problem, the researchers put forward the priority chart method, which is a method used to compare multiple items and arrange them according to their relative importance, so as to choose a more appropriate decision.From the content of the article, it can be concluded that the analytic hierarchy process has uncertainty and ambiguity in the judgment of decision-making. How to improve the rationality and authenticity of the analytic hierarchy process? In response to this problem, the researchers proposed the priority chart method, which is a method for comparing multiple items and ranking them according to their relative importance, so as to choose a more appropriate decision.According to the content of the article, the author found that the analytic hierarchy process is a method for multiattribute decision analysis, and it is also a sorting method. The essence of the sorting principle in this method is the decision matrix. Judgment matrix is to compare the score data of important factors of the next level. Single-level ranking refers to calculating the value of the superiority or inferiority or importance of the next-level important factors, and then, it will rank the relative factors according to these values.


### 5.2. Hierarchical Single Sort

Single ranking level refers to the relative weight of all factors in the decision matrix with respect to their criteria, and the focus is to calculate a weight vector. Application programs and theories normalize each column of the consensus decision matrix to obtain appropriate weights. Normalize each column of the inconsistent decision matrix to obtain an approximate congruent weight, and calculate the arithmetic mean of then columns of vectors as the final weight. The calculation is shown as follows:
(10)ωi=1n∑j=1naij∑k=1nakj.


### 5.3. Consistency of the Judgment Matrix

A is the numerical representation after introducing a suitable scale. In the judgment matrix A, if for any i, j, and k, the matrix is called a consistent matrix. However, when solving the actual problem, the constructed judgment matrix does not necessarily have the consistency, so the consistency test needs to be carried out. Applying AHP to multi-index comprehensive evaluation and multiobjective decision-making, the scales of the judgment matrix are all positive. There are many factors in the application of AHP in multi-index comprehensive evaluation and multiobjective decision-making. In order to reduce the workload of scaling, the following two methods can be adopted to construct the judgment matrix A: the method of scaling only the lower or upper triangle of A and the method of scaling only the lower triangle of A. In the method of scaling only the lower triangle of A, once the scaling row or column is unreasonable, according to the principle of cumulative amplification, the entire judgment matrix will become even more unreasonable.However, in the method of scaling only the lower triangle ofA, once the scaling row or column is unreasonable, according to the principle of cumulative amplification, the entire judgment matrix will become even more unreasonable. Therefore, improving the scale quality of the scale row or column is the key. In response to this problem, the main solution is to observe and analyze the whole to find the best possible factor, worst factor, or intermediate factor and then scale based on it, so that the quality of the scale obtained is better.In practice, stability testing is required to determine whether the matrix meets normal stability. Only when the overall consistency is met, the logical rationality of the scoring matrix can be confirmed, and the results need to be continuously analyzed [10, 11]. When checking the consistency of the judgment matrix, it is necessary to ensure that CR≤0.1. The judgment matrix itself has very large inconsistent rows, so when the consistency check of the judgment matrix is performed, it is necessary to ensure that CR≤0.1, which can improve the quality of the consistency check. The steps of checking the consistency check are as follows:
(1)
Calculate the consistency index CI, specifically as shown as follows:(11)CI.=λmax−nn−1.(2)
Obtain the corresponding average random consistency index RI by looking up the table(3)
Calculate the consistency ratio CR and make a judgment, as shown as follows:(12)CR.=CI.RI..Although the consistency test of the judgment matrix guaranteesCR≤0.1, but the matrix itself still has great inconsistencies. In order to solve this problem, the main solution is to find the inconsistency in the judgment and then analyze the sensitivity of the matrix and feed the result back to the expert, and the expert adjusts the judgment matrix appropriately, so as to fundamentally solve the inconsistency of the judgment matrix problem.The consistency test is an indispensable step. When the consistency test fails, the judgment matrix needs to be adjusted manually.However, the consistency check process is more complicated, and when it is adjusted manually, the workload is large, and there is a certain degree of blindness. In response to this problem, researchers have proposed some correction methods, such as iterative method and least square method. These methods can effectively improve the blindness of manual adjustment and reduce the workload of manual adjustment.The judgment matrix does not necessarily have consistency when solving the actual problem, so it needs to be tested for consistency. One of the principles of stability adjustment is to increase the stability of the adjusted decision matrix. After one or more adjustments, it may gradually meet the stability requirements. In addition, the decision matrix quantitatively describes the information of the expert’s decision and expresses the expert’s opinion. Therefore, the second principle of consistency adjustment is to effectively extract accurate decision information from the original expert decision matrix, so as to ensure the reliability of the adjusted matrix and ensure that the adjusted matrix can represent expert opinions.The judgment matrix itself has great inconsistencies, so when the judgment matrix is checked for consistency, it is necessary to ensure thatCR≤0.1. This can improve the quality of the consistency test, but it is clear that there are still inconsistencies in the judgment matrix. The first is to find out the elements that affect stability and adjust them; the second is to first construct the entire stability matrix, and then according to the difference between the constructed total stability matrix and the original decision matrix, a special method is adopted to gradually revise the decision matrix to have a sufficiently stable matrix; the third is to use algorithms to change the inconsistent decision matrix to obtain multiple decision matrices that meet the consistency requirements.


### 5.4. Level Total Ranking and Inspection

The total ranking is the relative weight of all judgment matrix factors with respect to the target layer. It uses a top-down approach to calculate this weight, synthesized layer by layer. If the relative weight of the m elements of layerk−1 with respect to the total target is ωk−1=ω1k−1,ω2k−1,⋯,ωnk−1T, then the single ranking weight of the n elements of layer k with respect to the jth element of the previous layer (layer k−1) is ρjk=ρ1jk,ρ2jk,⋯,ρnjk, where the weight of the element not dominated by j is zero [12]. Let ρk=ρ1k,ρ2k,⋯,ρnk denote the elements of the k-th level in the ordering of the k−1-th level elements, and the total ordering of the k-th level elements of the total target is shown as follows:
(13)ωk=ω1k,ω2k,⋯,ωnkT=ρkωk−1.Generally, if the weight ofn factors in layer A is ωjj=1,2⋯n, and if some factors in layer B have a single-rank consistency for a certain index Aj of the upper layer A, the consistency of the single order is CI.j, and the corresponding average random consistency index is RI.j. Then, the overall ranking consistency ratio of level B is shown as follows:
(14)CR.=∑j=1nωjCI.j∑j=1nωjRI.j.


### 5.5. The Application of Scientific Computing to Improve the Teaching Quality of Teachers

If teachers want to use computer and computational science knowledge in the classroom, they must have computer science knowledge and computer skills. This will help expand students’ knowledge and thinking. With the help of science and algorithms, English classroom teaching can go from static to dynamic, from difficult to simplified. This can increase the boundaries of space and time, guide students from outside the classroom to life, and provide complete play. All of these put forward strict requirements on teachers’ ability to master information technology. Classroom teaching is a common method in teaching and education. Teachers are taught the whole process of imparting knowledge and skills to students. Information technology is undoubtedly the most effective weapon for teachers. This puts forward higher requirements for teachers’ ability to use information technology. On the one hand, teachers themselves have higher requirements for knowledge and skills in this field. On the other hand, teachers themselves also need to know how to use their skills.


### 5.6. Constructing an English Teaching Quality Evaluation Index System Based on Analytic Hierarchy Process

#### 5.6.1. Analysis of the Basic Elements of the Teaching Process

The key elements that constitute the learning process mainly include closely related inputs, processes, and outputs. The main input includes investment from the government and other school institutions, school resources, and the time and energy of teachers and students. This process mainly includes the degree of consistency between teaching practice and learning goals and the degree of optimization of teaching practice. The output mainly determines the development and innovation of students and the extent to which such development and innovation reach a certain standard, as well as the public’s expectations for a certain level.The main method of measuring teaching quality today is the application of teaching evaluation. Teaching quality is the result of the teaching process, and its quality is judged by the evaluation or judgment of the above three elements. For the quality of teaching products or teaching process, teaching quality needs to establish a set of parameters for its evaluation, which needs to be carried out through an index system.


#### 5.6.2. Objects of Teaching Evaluation

(1) Course Design Evaluation. Curriculum design should consider the curriculum objectives, guiding ideology, and implementation direction. Curriculum design evaluation includes evaluation of curriculum standards, evaluation of teaching materials, evaluation of teaching system, evaluation of curriculum implementation, and summary evaluation of curriculum results.(2) Course Implementation Evaluation. Curriculum implementation includes the teaching activities of teachers implementing the curriculum and the activities of students learning the curriculum. The teaching activities implemented by teachers include lesson preparation, classroom, extracurricular teaching, homework evaluation and improvement guidance, examinations, and examinations. It is mainly the activities of teachers learning and using curriculum standards and the use of related teaching methods and means, as well as the feasibility and effectiveness of curriculum materials to the curriculum standards. In order to meet the diverse needs of students, teachers conduct additions, deletions, and corrections in the curriculum and adjust and use teaching links, methods, strategies, and media.(3) Evaluate Students’ Academic Performance and Self-Development. The goals and influence of curriculum design and teaching activities are directly reflected through students’ academic performance and their own development. The evaluation of students’ academic performance and self-development is the main and most basic activity of course evaluation. The areas of assessment include the areas of cognition, attitudes, and motor skills.(4) Curriculum System Evaluation. The curriculum system is the system of curriculum decision-making and curriculum implementation. It has three basic functions: course preparation, course implementation, and course evaluation. The main function of the curriculum system is to prepare a curriculum plan, implement it through the education system, and modify it based on the evaluation feedback information. Curriculum implementation includes curriculum reform, curriculum teaching strategies, and factors that affect curriculum implementation. Curriculum evaluation includes teacher curriculum use evaluation, curriculum design evaluation, student curriculum performance evaluation, and curriculum system evaluation.(5) Evaluation of Course Evaluation Results. The course evaluation itself may also be the object of evaluation. After the evaluation work is completed, relevant personnel can review the implementation process and the results of the evaluation plan, then summarize successful experience and correct deficiencies, and make value judgments on the completed evaluation work. Curriculum evaluation usually includes evaluation of the following aspects: evaluation objectives, evaluation objects, evaluation process and methods, evaluation results, evaluation systems, evaluation effects, evaluation theory research, evaluation impact, etc.


#### 5.6.3. Principles of Constructing Evaluation Index System

(1)
The principle of completeness is to evaluate the quality of English teaching based on the method of system theory. The comprehensive investigation of the connection and performance of each part of the teaching should have a holistic concept and avoid one-sided generalization. In order to emphasize the importance of a certain module, the weight can be adjusted appropriately according to the degree of influence of the teaching module on students. Considering the overall evaluation criteria from the perspectives of students, teachers, and administrators, this article mainly considers the following five aspects: First is the facility services, including basic learning facilities, multimedia resources, network security, and learning funds. The second is learning management, including teaching resource management, professional setting, teaching system and methods, curriculum management, curriculum system setting, and graduate design. The third is the teaching of teachers: the number and composition of the teaching staff, teaching methods, leading teachers, including teaching services; the fourth is student learning: the process of learning, the management of learning, including student satisfaction. The fifth is social status, including school philosophy, training goals and characteristics, school spirit, academic environment, and work level [13].(2)
The principle of objectivityThe principle of objectivity refers to the objective description of the status quo, essence, and laws of things, and objectivity is its basic requirement. Objective theory is the most basic principle of evaluation. It needs to coordinate the values among evaluators, which ultimately leads to an objective and coherent evaluation of the case.(3)
Focus on the principle of learningThe principle of emphasizing learning emphasizes that students actively construct learning as the core subject of learning, which can encourage students to learn effectively for the purpose of evaluating English teaching. All learning activities and resources related to teaching in the evaluation standard content can achieve the purpose of stimulating students to actively participate in learning, and at the same time, it can reject irrelevant sources and activities that interfere with the evaluation standard content. In addition, the evaluation criteria should be based on suitable teaching and learning. If high-quality learning materials cause the network transmission speed to drop, there is no need to make too much effort.


#### 5.6.4. The Purpose of Constructing an English Teaching Quality Evaluation Index System Based on Analytic Hierarchy Process

Although English education in China has developed rapidly, it has not yet formulated evaluation standards. Some researchers have made fruitful efforts to assess the quality of English language teaching. However, a complete and systematic evaluation index system has not yet been established, and the evaluation methods are insufficient. English teaching has the following characteristics: large scale, wide geographical distribution, complex personnel background, and diverse organizational forms. In addition, the English teaching system is relatively loose, and each part is shown as a loosely structured English teaching system. Therefore, the difficulty of collecting and evaluating information increases. It takes a lot of time and energy to collect information, and long-term tracking of the obtained information requires investigation, analysis, and collation [14].


## 5.1. Overview of Analytic Hierarchy Process

### 5.1.1. Analytic Hierarchy Process Concept

AHP decomposes complex issues into an orderly hierarchical structure of objective, reference, and planning levels. It is a method of calculating weights using pairwise ratios. The qualitative and quantitative factors of decision-making are widely used in decision-making, prediction, and evaluation. It is a commonly used method in system engineering. The 9-scale method is commonly used [8]. However, the disadvantage of this method is that it has a different understanding of words with ambiguous meanings.However, the 9-scale method in the process of AHP is difficult to understand in terms of usability. In addition, different understanding scales for words with ambiguous meaning greatly affect the accuracy of the AHP method. Therefore, the researchers proposed an improved analytic hierarchy process, which uses the 3-scale method instead of the 9-scale method. The 3-scale method can effectively overcome the problem of the difficulty in accurately using words in the 9-scale method.When evaluating the quality of English teaching using the analytic hierarchy process, this article is often artificially evaluated. And the AHP method is used to directly calculate the weight of each level index in the teaching quality evaluation, and the calculation method is scientific and simple.However, when the analytic hierarchy process is used to evaluate the quality of English teaching, the human subjectivity is relatively strong, which makes the authenticity of the evaluation results not high. Therefore, researchers proposed to use an improved Gaussian membership function to make a fuzzy comprehensive evaluation of English teaching quality. This can reduce the subjective component of the evaluation, make the evaluation result more objective and true, and provide a scientific basis for employment decision-making.


### 5.1.2. Characteristics of AHP

The analytic hierarchy process takes the research object as a single system, and it describes and compares the influence of various factors on the evaluation results of the entire system. Because the weight assigned to each level directly or indirectly affects the final evaluation result in the process of analytic hierarchy process, it is very clear and unambiguous to measure the degree of influence of each factor of each level on the final evaluation result. This method is particularly suitable for evaluating multiobjective, multistandard, and multiperiod systems. The analysis layer process is easy for decision-makers to understand and master. The basic principles and basic steps are very simple; the analytic hierarchy process is a way of thinking that imitates the human decision-making process [9].The author described in the article that the assignment of each scale in the judgment matrix is very arbitrary. Therefore, this kind of assignment method is more suitable for single-person decision-making, and the assignment method of each scale in the judgment matrix of the analytic hierarchy process will conflict with multiperson decision-making. In response to this problem, the researchers put forward the priority chart method, which is a method used to compare multiple items and arrange them according to their relative importance, so as to choose a more appropriate decision.From the content of the article, it can be concluded that the analytic hierarchy process has uncertainty and ambiguity in the judgment of decision-making. How to improve the rationality and authenticity of the analytic hierarchy process? In response to this problem, the researchers proposed the priority chart method, which is a method for comparing multiple items and ranking them according to their relative importance, so as to choose a more appropriate decision.According to the content of the article, the author found that the analytic hierarchy process is a method for multiattribute decision analysis, and it is also a sorting method. The essence of the sorting principle in this method is the decision matrix. Judgment matrix is to compare the score data of important factors of the next level. Single-level ranking refers to calculating the value of the superiority or inferiority or importance of the next-level important factors, and then, it will rank the relative factors according to these values.


## 5.1.1. Analytic Hierarchy Process Concept

AHP decomposes complex issues into an orderly hierarchical structure of objective, reference, and planning levels. It is a method of calculating weights using pairwise ratios. The qualitative and quantitative factors of decision-making are widely used in decision-making, prediction, and evaluation. It is a commonly used method in system engineering. The 9-scale method is commonly used [8]. However, the disadvantage of this method is that it has a different understanding of words with ambiguous meanings.However, the 9-scale method in the process of AHP is difficult to understand in terms of usability. In addition, different understanding scales for words with ambiguous meaning greatly affect the accuracy of the AHP method. Therefore, the researchers proposed an improved analytic hierarchy process, which uses the 3-scale method instead of the 9-scale method. The 3-scale method can effectively overcome the problem of the difficulty in accurately using words in the 9-scale method.When evaluating the quality of English teaching using the analytic hierarchy process, this article is often artificially evaluated. And the AHP method is used to directly calculate the weight of each level index in the teaching quality evaluation, and the calculation method is scientific and simple.However, when the analytic hierarchy process is used to evaluate the quality of English teaching, the human subjectivity is relatively strong, which makes the authenticity of the evaluation results not high. Therefore, researchers proposed to use an improved Gaussian membership function to make a fuzzy comprehensive evaluation of English teaching quality. This can reduce the subjective component of the evaluation, make the evaluation result more objective and true, and provide a scientific basis for employment decision-making.


## 5.1.2. Characteristics of AHP

The analytic hierarchy process takes the research object as a single system, and it describes and compares the influence of various factors on the evaluation results of the entire system. Because the weight assigned to each level directly or indirectly affects the final evaluation result in the process of analytic hierarchy process, it is very clear and unambiguous to measure the degree of influence of each factor of each level on the final evaluation result. This method is particularly suitable for evaluating multiobjective, multistandard, and multiperiod systems. The analysis layer process is easy for decision-makers to understand and master. The basic principles and basic steps are very simple; the analytic hierarchy process is a way of thinking that imitates the human decision-making process [9].The author described in the article that the assignment of each scale in the judgment matrix is very arbitrary. Therefore, this kind of assignment method is more suitable for single-person decision-making, and the assignment method of each scale in the judgment matrix of the analytic hierarchy process will conflict with multiperson decision-making. In response to this problem, the researchers put forward the priority chart method, which is a method used to compare multiple items and arrange them according to their relative importance, so as to choose a more appropriate decision.From the content of the article, it can be concluded that the analytic hierarchy process has uncertainty and ambiguity in the judgment of decision-making. How to improve the rationality and authenticity of the analytic hierarchy process? In response to this problem, the researchers proposed the priority chart method, which is a method for comparing multiple items and ranking them according to their relative importance, so as to choose a more appropriate decision.According to the content of the article, the author found that the analytic hierarchy process is a method for multiattribute decision analysis, and it is also a sorting method. The essence of the sorting principle in this method is the decision matrix. Judgment matrix is to compare the score data of important factors of the next level. Single-level ranking refers to calculating the value of the superiority or inferiority or importance of the next-level important factors, and then, it will rank the relative factors according to these values.


## 5.2. Hierarchical Single Sort

Single ranking level refers to the relative weight of all factors in the decision matrix with respect to their criteria, and the focus is to calculate a weight vector. Application programs and theories normalize each column of the consensus decision matrix to obtain appropriate weights. Normalize each column of the inconsistent decision matrix to obtain an approximate congruent weight, and calculate the arithmetic mean of then columns of vectors as the final weight. The calculation is shown as follows:
(10)ωi=1n∑j=1naij∑k=1nakj.


## 5.3. Consistency of the Judgment Matrix

A is the numerical representation after introducing a suitable scale. In the judgment matrix A, if for any i, j, and k, the matrix is called a consistent matrix. However, when solving the actual problem, the constructed judgment matrix does not necessarily have the consistency, so the consistency test needs to be carried out. Applying AHP to multi-index comprehensive evaluation and multiobjective decision-making, the scales of the judgment matrix are all positive. There are many factors in the application of AHP in multi-index comprehensive evaluation and multiobjective decision-making. In order to reduce the workload of scaling, the following two methods can be adopted to construct the judgment matrix A: the method of scaling only the lower or upper triangle of A and the method of scaling only the lower triangle of A. In the method of scaling only the lower triangle of A, once the scaling row or column is unreasonable, according to the principle of cumulative amplification, the entire judgment matrix will become even more unreasonable.However, in the method of scaling only the lower triangle ofA, once the scaling row or column is unreasonable, according to the principle of cumulative amplification, the entire judgment matrix will become even more unreasonable. Therefore, improving the scale quality of the scale row or column is the key. In response to this problem, the main solution is to observe and analyze the whole to find the best possible factor, worst factor, or intermediate factor and then scale based on it, so that the quality of the scale obtained is better.In practice, stability testing is required to determine whether the matrix meets normal stability. Only when the overall consistency is met, the logical rationality of the scoring matrix can be confirmed, and the results need to be continuously analyzed [10, 11]. When checking the consistency of the judgment matrix, it is necessary to ensure that CR≤0.1. The judgment matrix itself has very large inconsistent rows, so when the consistency check of the judgment matrix is performed, it is necessary to ensure that CR≤0.1, which can improve the quality of the consistency check. The steps of checking the consistency check are as follows:
(1)
Calculate the consistency index CI, specifically as shown as follows:(11)CI.=λmax−nn−1.(2)
Obtain the corresponding average random consistency index RI by looking up the table(3)
Calculate the consistency ratio CR and make a judgment, as shown as follows:(12)CR.=CI.RI..Although the consistency test of the judgment matrix guaranteesCR≤0.1, but the matrix itself still has great inconsistencies. In order to solve this problem, the main solution is to find the inconsistency in the judgment and then analyze the sensitivity of the matrix and feed the result back to the expert, and the expert adjusts the judgment matrix appropriately, so as to fundamentally solve the inconsistency of the judgment matrix problem.The consistency test is an indispensable step. When the consistency test fails, the judgment matrix needs to be adjusted manually.However, the consistency check process is more complicated, and when it is adjusted manually, the workload is large, and there is a certain degree of blindness. In response to this problem, researchers have proposed some correction methods, such as iterative method and least square method. These methods can effectively improve the blindness of manual adjustment and reduce the workload of manual adjustment.The judgment matrix does not necessarily have consistency when solving the actual problem, so it needs to be tested for consistency. One of the principles of stability adjustment is to increase the stability of the adjusted decision matrix. After one or more adjustments, it may gradually meet the stability requirements. In addition, the decision matrix quantitatively describes the information of the expert’s decision and expresses the expert’s opinion. Therefore, the second principle of consistency adjustment is to effectively extract accurate decision information from the original expert decision matrix, so as to ensure the reliability of the adjusted matrix and ensure that the adjusted matrix can represent expert opinions.The judgment matrix itself has great inconsistencies, so when the judgment matrix is checked for consistency, it is necessary to ensure thatCR≤0.1. This can improve the quality of the consistency test, but it is clear that there are still inconsistencies in the judgment matrix. The first is to find out the elements that affect stability and adjust them; the second is to first construct the entire stability matrix, and then according to the difference between the constructed total stability matrix and the original decision matrix, a special method is adopted to gradually revise the decision matrix to have a sufficiently stable matrix; the third is to use algorithms to change the inconsistent decision matrix to obtain multiple decision matrices that meet the consistency requirements.


## 5.4. Level Total Ranking and Inspection

The total ranking is the relative weight of all judgment matrix factors with respect to the target layer. It uses a top-down approach to calculate this weight, synthesized layer by layer. If the relative weight of the m elements of layerk−1 with respect to the total target is ωk−1=ω1k−1,ω2k−1,⋯,ωnk−1T, then the single ranking weight of the n elements of layer k with respect to the jth element of the previous layer (layer k−1) is ρjk=ρ1jk,ρ2jk,⋯,ρnjk, where the weight of the element not dominated by j is zero [12]. Let ρk=ρ1k,ρ2k,⋯,ρnk denote the elements of the k-th level in the ordering of the k−1-th level elements, and the total ordering of the k-th level elements of the total target is shown as follows:
(13)ωk=ω1k,ω2k,⋯,ωnkT=ρkωk−1.Generally, if the weight ofn factors in layer A is ωjj=1,2⋯n, and if some factors in layer B have a single-rank consistency for a certain index Aj of the upper layer A, the consistency of the single order is CI.j, and the corresponding average random consistency index is RI.j. Then, the overall ranking consistency ratio of level B is shown as follows:
(14)CR.=∑j=1nωjCI.j∑j=1nωjRI.j.


## 5.5. The Application of Scientific Computing to Improve the Teaching Quality of Teachers

If teachers want to use computer and computational science knowledge in the classroom, they must have computer science knowledge and computer skills. This will help expand students’ knowledge and thinking. With the help of science and algorithms, English classroom teaching can go from static to dynamic, from difficult to simplified. This can increase the boundaries of space and time, guide students from outside the classroom to life, and provide complete play. All of these put forward strict requirements on teachers’ ability to master information technology. Classroom teaching is a common method in teaching and education. Teachers are taught the whole process of imparting knowledge and skills to students. Information technology is undoubtedly the most effective weapon for teachers. This puts forward higher requirements for teachers’ ability to use information technology. On the one hand, teachers themselves have higher requirements for knowledge and skills in this field. On the other hand, teachers themselves also need to know how to use their skills.


## 5.6. Constructing an English Teaching Quality Evaluation Index System Based on Analytic Hierarchy Process

### 5.6.1. Analysis of the Basic Elements of the Teaching Process

The key elements that constitute the learning process mainly include closely related inputs, processes, and outputs. The main input includes investment from the government and other school institutions, school resources, and the time and energy of teachers and students. This process mainly includes the degree of consistency between teaching practice and learning goals and the degree of optimization of teaching practice. The output mainly determines the development and innovation of students and the extent to which such development and innovation reach a certain standard, as well as the public’s expectations for a certain level.The main method of measuring teaching quality today is the application of teaching evaluation. Teaching quality is the result of the teaching process, and its quality is judged by the evaluation or judgment of the above three elements. For the quality of teaching products or teaching process, teaching quality needs to establish a set of parameters for its evaluation, which needs to be carried out through an index system.


### 5.6.2. Objects of Teaching Evaluation

(1) Course Design Evaluation. Curriculum design should consider the curriculum objectives, guiding ideology, and implementation direction. Curriculum design evaluation includes evaluation of curriculum standards, evaluation of teaching materials, evaluation of teaching system, evaluation of curriculum implementation, and summary evaluation of curriculum results.(2) Course Implementation Evaluation. Curriculum implementation includes the teaching activities of teachers implementing the curriculum and the activities of students learning the curriculum. The teaching activities implemented by teachers include lesson preparation, classroom, extracurricular teaching, homework evaluation and improvement guidance, examinations, and examinations. It is mainly the activities of teachers learning and using curriculum standards and the use of related teaching methods and means, as well as the feasibility and effectiveness of curriculum materials to the curriculum standards. In order to meet the diverse needs of students, teachers conduct additions, deletions, and corrections in the curriculum and adjust and use teaching links, methods, strategies, and media.(3) Evaluate Students’ Academic Performance and Self-Development. The goals and influence of curriculum design and teaching activities are directly reflected through students’ academic performance and their own development. The evaluation of students’ academic performance and self-development is the main and most basic activity of course evaluation. The areas of assessment include the areas of cognition, attitudes, and motor skills.(4) Curriculum System Evaluation. The curriculum system is the system of curriculum decision-making and curriculum implementation. It has three basic functions: course preparation, course implementation, and course evaluation. The main function of the curriculum system is to prepare a curriculum plan, implement it through the education system, and modify it based on the evaluation feedback information. Curriculum implementation includes curriculum reform, curriculum teaching strategies, and factors that affect curriculum implementation. Curriculum evaluation includes teacher curriculum use evaluation, curriculum design evaluation, student curriculum performance evaluation, and curriculum system evaluation.(5) Evaluation of Course Evaluation Results. The course evaluation itself may also be the object of evaluation. After the evaluation work is completed, relevant personnel can review the implementation process and the results of the evaluation plan, then summarize successful experience and correct deficiencies, and make value judgments on the completed evaluation work. Curriculum evaluation usually includes evaluation of the following aspects: evaluation objectives, evaluation objects, evaluation process and methods, evaluation results, evaluation systems, evaluation effects, evaluation theory research, evaluation impact, etc.


### 5.6.3. Principles of Constructing Evaluation Index System

(1)
The principle of completeness is to evaluate the quality of English teaching based on the method of system theory. The comprehensive investigation of the connection and performance of each part of the teaching should have a holistic concept and avoid one-sided generalization. In order to emphasize the importance of a certain module, the weight can be adjusted appropriately according to the degree of influence of the teaching module on students. Considering the overall evaluation criteria from the perspectives of students, teachers, and administrators, this article mainly considers the following five aspects: First is the facility services, including basic learning facilities, multimedia resources, network security, and learning funds. The second is learning management, including teaching resource management, professional setting, teaching system and methods, curriculum management, curriculum system setting, and graduate design. The third is the teaching of teachers: the number and composition of the teaching staff, teaching methods, leading teachers, including teaching services; the fourth is student learning: the process of learning, the management of learning, including student satisfaction. The fifth is social status, including school philosophy, training goals and characteristics, school spirit, academic environment, and work level [13].(2)
The principle of objectivityThe principle of objectivity refers to the objective description of the status quo, essence, and laws of things, and objectivity is its basic requirement. Objective theory is the most basic principle of evaluation. It needs to coordinate the values among evaluators, which ultimately leads to an objective and coherent evaluation of the case.(3)
Focus on the principle of learningThe principle of emphasizing learning emphasizes that students actively construct learning as the core subject of learning, which can encourage students to learn effectively for the purpose of evaluating English teaching. All learning activities and resources related to teaching in the evaluation standard content can achieve the purpose of stimulating students to actively participate in learning, and at the same time, it can reject irrelevant sources and activities that interfere with the evaluation standard content. In addition, the evaluation criteria should be based on suitable teaching and learning. If high-quality learning materials cause the network transmission speed to drop, there is no need to make too much effort.


### 5.6.4. The Purpose of Constructing an English Teaching Quality Evaluation Index System Based on Analytic Hierarchy Process

Although English education in China has developed rapidly, it has not yet formulated evaluation standards. Some researchers have made fruitful efforts to assess the quality of English language teaching. However, a complete and systematic evaluation index system has not yet been established, and the evaluation methods are insufficient. English teaching has the following characteristics: large scale, wide geographical distribution, complex personnel background, and diverse organizational forms. In addition, the English teaching system is relatively loose, and each part is shown as a loosely structured English teaching system. Therefore, the difficulty of collecting and evaluating information increases. It takes a lot of time and energy to collect information, and long-term tracking of the obtained information requires investigation, analysis, and collation [14].


## 5.6.1. Analysis of the Basic Elements of the Teaching Process

The key elements that constitute the learning process mainly include closely related inputs, processes, and outputs. The main input includes investment from the government and other school institutions, school resources, and the time and energy of teachers and students. This process mainly includes the degree of consistency between teaching practice and learning goals and the degree of optimization of teaching practice. The output mainly determines the development and innovation of students and the extent to which such development and innovation reach a certain standard, as well as the public’s expectations for a certain level.The main method of measuring teaching quality today is the application of teaching evaluation. Teaching quality is the result of the teaching process, and its quality is judged by the evaluation or judgment of the above three elements. For the quality of teaching products or teaching process, teaching quality needs to establish a set of parameters for its evaluation, which needs to be carried out through an index system.


## 5.6.2. Objects of Teaching Evaluation

(1) Course Design Evaluation. Curriculum design should consider the curriculum objectives, guiding ideology, and implementation direction. Curriculum design evaluation includes evaluation of curriculum standards, evaluation of teaching materials, evaluation of teaching system, evaluation of curriculum implementation, and summary evaluation of curriculum results.(2) Course Implementation Evaluation. Curriculum implementation includes the teaching activities of teachers implementing the curriculum and the activities of students learning the curriculum. The teaching activities implemented by teachers include lesson preparation, classroom, extracurricular teaching, homework evaluation and improvement guidance, examinations, and examinations. It is mainly the activities of teachers learning and using curriculum standards and the use of related teaching methods and means, as well as the feasibility and effectiveness of curriculum materials to the curriculum standards. In order to meet the diverse needs of students, teachers conduct additions, deletions, and corrections in the curriculum and adjust and use teaching links, methods, strategies, and media.(3) Evaluate Students’ Academic Performance and Self-Development. The goals and influence of curriculum design and teaching activities are directly reflected through students’ academic performance and their own development. The evaluation of students’ academic performance and self-development is the main and most basic activity of course evaluation. The areas of assessment include the areas of cognition, attitudes, and motor skills.(4) Curriculum System Evaluation. The curriculum system is the system of curriculum decision-making and curriculum implementation. It has three basic functions: course preparation, course implementation, and course evaluation. The main function of the curriculum system is to prepare a curriculum plan, implement it through the education system, and modify it based on the evaluation feedback information. Curriculum implementation includes curriculum reform, curriculum teaching strategies, and factors that affect curriculum implementation. Curriculum evaluation includes teacher curriculum use evaluation, curriculum design evaluation, student curriculum performance evaluation, and curriculum system evaluation.(5) Evaluation of Course Evaluation Results. The course evaluation itself may also be the object of evaluation. After the evaluation work is completed, relevant personnel can review the implementation process and the results of the evaluation plan, then summarize successful experience and correct deficiencies, and make value judgments on the completed evaluation work. Curriculum evaluation usually includes evaluation of the following aspects: evaluation objectives, evaluation objects, evaluation process and methods, evaluation results, evaluation systems, evaluation effects, evaluation theory research, evaluation impact, etc.


## 5.6.3. Principles of Constructing Evaluation Index System

(1)
The principle of completeness is to evaluate the quality of English teaching based on the method of system theory. The comprehensive investigation of the connection and performance of each part of the teaching should have a holistic concept and avoid one-sided generalization. In order to emphasize the importance of a certain module, the weight can be adjusted appropriately according to the degree of influence of the teaching module on students. Considering the overall evaluation criteria from the perspectives of students, teachers, and administrators, this article mainly considers the following five aspects: First is the facility services, including basic learning facilities, multimedia resources, network security, and learning funds. The second is learning management, including teaching resource management, professional setting, teaching system and methods, curriculum management, curriculum system setting, and graduate design. The third is the teaching of teachers: the number and composition of the teaching staff, teaching methods, leading teachers, including teaching services; the fourth is student learning: the process of learning, the management of learning, including student satisfaction. The fifth is social status, including school philosophy, training goals and characteristics, school spirit, academic environment, and work level [13].(2)
The principle of objectivityThe principle of objectivity refers to the objective description of the status quo, essence, and laws of things, and objectivity is its basic requirement. Objective theory is the most basic principle of evaluation. It needs to coordinate the values among evaluators, which ultimately leads to an objective and coherent evaluation of the case.(3)
Focus on the principle of learningThe principle of emphasizing learning emphasizes that students actively construct learning as the core subject of learning, which can encourage students to learn effectively for the purpose of evaluating English teaching. All learning activities and resources related to teaching in the evaluation standard content can achieve the purpose of stimulating students to actively participate in learning, and at the same time, it can reject irrelevant sources and activities that interfere with the evaluation standard content. In addition, the evaluation criteria should be based on suitable teaching and learning. If high-quality learning materials cause the network transmission speed to drop, there is no need to make too much effort.


## 5.6.4. The Purpose of Constructing an English Teaching Quality Evaluation Index System Based on Analytic Hierarchy Process

Although English education in China has developed rapidly, it has not yet formulated evaluation standards. Some researchers have made fruitful efforts to assess the quality of English language teaching. However, a complete and systematic evaluation index system has not yet been established, and the evaluation methods are insufficient. English teaching has the following characteristics: large scale, wide geographical distribution, complex personnel background, and diverse organizational forms. In addition, the English teaching system is relatively loose, and each part is shown as a loosely structured English teaching system. Therefore, the difficulty of collecting and evaluating information increases. It takes a lot of time and energy to collect information, and long-term tracking of the obtained information requires investigation, analysis, and collation [14].


## 6. Design of English Teaching Quality Evaluation System

### 6.1. Functional Requirements

This article is written and developed on the basis of in-depth understanding of the actual needs of school teaching management in accordance with the norms of university informatization generation. The ultimate goal of system development is to improve the school’s teaching management level, which will make future learning management more convenient and faster. It will digitize learning evaluation information; learning evaluation users are not restricted by time and location; they can enter the system at any time on the campus network to view the information they need. The assessment objectives are diverse, which can meet the needs of various assessment objectives at present, and it can promote the fundamental goal of teacher development. The main task of the learning management unit to digital acquisition, processing, and transformation is to realize the transformation of technical means and service methods.Based on the research and analysis of the school’s academic affairs office, college academic staff, and teachers, we have the following requirements:(1)
Academic Staff. As education managers, their main concern is how to maintain the best evaluation indicators according to the current learning and development goals. The academic staff should optimize the evaluation model and assign appropriate weights to the evaluation model; they should also carry out the maintenance and evaluation of the evaluation data, evaluate the teacher’s problems, and score and analyze the student’s performance or performance indicators(2)
Class Teachers. As classroom teachers, their main concern is how to obtain some feedback information from teaching evaluation results and student performance analysis to improve teaching and better serve students. The basic functions required by the system are as follows:Teaching quality evaluation: input the previously evaluated teacher data information into the system, carry out corresponding evaluations, and complete the maintenance of the teaching evaluation data and the processing of the teaching evaluation [15].Comparative analysis of teaching quality: complete comparative analysis of teaching evaluation data and statistical analysis of student performance. The academic staff of the college can analyze the teacher evaluation data and student performance of the college, and the academic affairs office can analyze the evaluation data of all schoolteachers and all student performance.Query and print: it provides a network transmission and sharing interface for evaluation result information and student performance index information. Class teachers can query the performance indicators of students who have selected courses; college lecturers can query the evaluation results of college teachers and the performance indicators of all students in the college: The Office of Academic Affairs can query and print the evaluation results of all teachers and the performance indicators of all students in the college.Data import: the system should use a lot of basic data from the school. In order to ensure data consistency and reduce the workload of data entry, the task of importing existing basic data and evaluation data is set; for the data that the school does not have, the system management part provides the input function and the data maintenance function of the imported data.


### 6.2. Performance Requirements

The performance requirements of this system mainly include the following aspects:Compatibility: this system should consider the relationship with other parts of the examination management system and education management system. Therefore, compatibility should be considered in the design of the software interface to provide a better data import system interface.Shareability: the system database tables are required to be shared with other subsystems, and the shared data tables are dynamically maintained by each system.Security: teaching evaluation information and classroom information are confidential materials, and the security of client and server data must be guaranteed; system user passwords must be stored in cipher text; similar information must be stored in cipher text.Reliability: the system provides users with paperless management of teaching evaluation data, automated management of teaching quality, and context analysis. The system must be highly reliable. Therefore, the relevant personnel must fully consider all possible situations, so as to ensure that the user is correct. Technologies such as fault tolerance and self-recovery fully guarantee the durability of the operating system and the system.


### 6.3. System Workflow

The working process of the English teaching quality evaluation system is shown in Figure4.Figure 4
Work flow of teaching quality evaluation system.


## 6.1. Functional Requirements

This article is written and developed on the basis of in-depth understanding of the actual needs of school teaching management in accordance with the norms of university informatization generation. The ultimate goal of system development is to improve the school’s teaching management level, which will make future learning management more convenient and faster. It will digitize learning evaluation information; learning evaluation users are not restricted by time and location; they can enter the system at any time on the campus network to view the information they need. The assessment objectives are diverse, which can meet the needs of various assessment objectives at present, and it can promote the fundamental goal of teacher development. The main task of the learning management unit to digital acquisition, processing, and transformation is to realize the transformation of technical means and service methods.Based on the research and analysis of the school’s academic affairs office, college academic staff, and teachers, we have the following requirements:(1)
Academic Staff. As education managers, their main concern is how to maintain the best evaluation indicators according to the current learning and development goals. The academic staff should optimize the evaluation model and assign appropriate weights to the evaluation model; they should also carry out the maintenance and evaluation of the evaluation data, evaluate the teacher’s problems, and score and analyze the student’s performance or performance indicators(2)
Class Teachers. As classroom teachers, their main concern is how to obtain some feedback information from teaching evaluation results and student performance analysis to improve teaching and better serve students. The basic functions required by the system are as follows:Teaching quality evaluation: input the previously evaluated teacher data information into the system, carry out corresponding evaluations, and complete the maintenance of the teaching evaluation data and the processing of the teaching evaluation [15].Comparative analysis of teaching quality: complete comparative analysis of teaching evaluation data and statistical analysis of student performance. The academic staff of the college can analyze the teacher evaluation data and student performance of the college, and the academic affairs office can analyze the evaluation data of all schoolteachers and all student performance.Query and print: it provides a network transmission and sharing interface for evaluation result information and student performance index information. Class teachers can query the performance indicators of students who have selected courses; college lecturers can query the evaluation results of college teachers and the performance indicators of all students in the college: The Office of Academic Affairs can query and print the evaluation results of all teachers and the performance indicators of all students in the college.Data import: the system should use a lot of basic data from the school. In order to ensure data consistency and reduce the workload of data entry, the task of importing existing basic data and evaluation data is set; for the data that the school does not have, the system management part provides the input function and the data maintenance function of the imported data.


## 6.2. Performance Requirements

The performance requirements of this system mainly include the following aspects:Compatibility: this system should consider the relationship with other parts of the examination management system and education management system. Therefore, compatibility should be considered in the design of the software interface to provide a better data import system interface.Shareability: the system database tables are required to be shared with other subsystems, and the shared data tables are dynamically maintained by each system.Security: teaching evaluation information and classroom information are confidential materials, and the security of client and server data must be guaranteed; system user passwords must be stored in cipher text; similar information must be stored in cipher text.Reliability: the system provides users with paperless management of teaching evaluation data, automated management of teaching quality, and context analysis. The system must be highly reliable. Therefore, the relevant personnel must fully consider all possible situations, so as to ensure that the user is correct. Technologies such as fault tolerance and self-recovery fully guarantee the durability of the operating system and the system.


## 6.3. System Workflow

The working process of the English teaching quality evaluation system is shown in Figure4.Figure 4
Work flow of teaching quality evaluation system.


## 7. Conclusions

This paper proposes an English teaching quality evaluation method based on the analytic hierarchy process of scientific computing, in which the HS algorithm and RVM algorithm are also studied. The English teaching quality evaluation index system is a multi-index system; the evaluation index data is used as the input of HKRVM to evaluate the quality of language teaching. The score is the output of HKRVM, and the IHS-HKRVM English language teaching quality evaluation model is established. In addition, this article examines the principles and objectives of the English teaching quality evaluation index system based on the analytic hierarchy process, and it examines the design of the English teaching quality evaluation system. The English teaching quality assessment system provides a new assessment method.



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*Source: 3461677-2022-04-25.xml*