# Empathy Theory and Casework Problem Solving Based upon Social Network Analysis

Authors: Bingcen Liu
Journal: Wireless Communications and Mobile Computing
 (2022)

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## Abstract

In the field of psychological research, researchers have been exploring a relatively stable path that can promote good interpersonal relationships and increase positive emotions. Empathy is a new field in emotion research and has gradually become a hot issue in empathy research at home and abroad. However, there are many problem families in the current society that are difficult to achieve positive emotions and need the help of society. At present, casework research has gradually become an important means to solve social problems, but the current work efficiency is relatively low, and the mobilization of the enthusiasm of all parties is also relatively weak. In order to solve these problems, this paper proposes a casework solution based on social network analysis empathy theory, aiming at solving some difficult social problems through the cooperation of all social parties. The method of this paper is to study the application of social network analysis, analyze the network community, and then propose the moderating effect of empathy traits on casework. These methods allow social workers to fully understand the social structure in social networks and feel the role of empathy theory in promoting their work. This article draws on a general methodology for applying casework through actual casework of caregivers of intellectually disabled youth, children with autism, and the elderly with orphans. The results show that the solution proposed in this paper can effectively improve the client’s nonverbal communication behavior, and the improvement rate reaches 65.1%.


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## Body

## 1. Introduction

Guided by social support network theory, Ellis ABC theory, and social exclusion theory, this paper follows the professional value of social work and addresses the multilevel needs of problem families through two case studies. This paper establishes an informal social support network for a case-by-case problem that requires careful consideration of the specific local context at the time and the design of a service plan that meets the client’s needs. The client’s informal social intervention works through systematic case intervention. Its real-time evaluation of the client’s informal social support network construction, the evaluation of the effectiveness of intervention strategies and service content, and the summary of effective experience can further improve and improve the work path.The current research mostly focuses on the macro level of government assistance and institutional intervention, and there are few researches on the case service of problem families from the perspective of social support. This article understands the current situation of family life through case service and provides intervention services from the family members, communities, relatives, and neighbors of the service object. It helps them improve their own social support network to solve problem family problems and restore their own functions. It has certain theoretical significance for the empirical research of casework and social support-related theories and the enrichment of problem family practice research. This paper proposes to present the specific service content of the social casework method related to the construction of the client’s informal social support network, summarizes the effectiveness and drawbacks of the case object’s informal support network construction, and intervenes in the same type of informal society. The paper then examines the networking issues that support case objects in social casework and provides reference cases with specific practical value.At present, academic research on problem families mainly involves the causes of family problems, the status and needs of individual families, and countermeasures and suggestions. Few empirical studies on problem families are carried out only from the aspects of economy, pension, and psychology, and they are rarely discussed on the basis of considering the individual differences of problem families. This paper uses the method of case-based social work to intervene services for two problem families, respectively. Under the guidance of social support-related theories, it tries to link multiple resources to build and improve their social support network, so as to find and solve the problems existing in the service objects. It has certain innovative significance in the related research of problem families.


## 2. Related Work

Due to the rapid economic and social development and the variety of modern cultures, many people have more or less psychological and physical problems, and casework is becoming more and more important, so solutions to social casework are emerging one after another. Muller and Peres found that increases in cohesion (strong mutual influence among its members), connectivity (a large number of connections), and brevity (low redundancy) were particularly effective in demonstrating a “3C” network. He argues that the knowledge gap in social networks can make recommendations for future research [1]. Gómez et al. proposed a series of new centrality measures based on the concept of game theory for social networks, and the results of the measures reflect the interests of interactions between individuals in social networks [2]. Ghosh and Lerman believe that the measurement tools used in social network analysis are all based on random walks, which may not be suitable for modeling social phenomena. So they classify dynamic processes as conservative and nonconservative and correlate them with centrality measures in network analysis [3]. Liu et al. believe dockless sharing bikes play an increasingly significant role in transit transfer, especially for the first/last mile. However, it is not always accessible for users to find sharing bicycles. The objective of this paper is to assess the accessibility of dockless sharing bikes from a network perspective, which would provide a decision-making basis not only for potential bike users but also for urban planners, policymakers, and bicycle suppliers to optimize sharing-bike systems. Considering bicycle travel characteristics, a hierarchical clustering algorithm was applied to construct the dockless sharing-bike network. The social network analysis (SNA) method was adopted to assess the accessibility of the bike network. Then, a spatial interaction model was chosen to conduct a correlation analysis to compare the accessibility obtained from the SNA approach [4]. Abend illustrates the impact of important events in people’s lives on his own central compromise structure by giving examples between empathy and countertransference; the result is that empathic emotions must affect people’s analytic functions [5]. The purpose of the Sinclair et al. study was to investigate the understanding, experiences, and preferences of “empathy” in patients with advanced cancer in order to provide a clear concept for future research and inform clinical practice [6]. A number of institutions in Japan have made recommendations for casework of mentally handicapped youth. It conducts a questionnaire survey on some subjects with intellectual disabilities; assesses their knowledge of the problem, the identification of sets or their components, and the identification of the basic attributes of these sets; and then gives teaching suggestions [7].


## 3. Social Network Analysis Methods and Empathy Theory

### 3.1. Application of Social Network Analysis Method

The method part of this paper mainly talks about the benefits that wireless communication brings to online communities, so that people can communicate and communicate anytime and anywhere, share their emotions, and release pressure. A social network is a collection of social actors and their relationships, points in the relationship graph are used to represent social actors, and edges are used to represent relationships to form a social network. According to the binary matrix, using Ucinet software to insert the binary matrix, the social network correlation graph shown in Figure1 will be obtained.Figure 1
Social network association diagram.Social network is a social network service, which is derived from the translation of English SNS; the Chinese literal translation is social network service; and the free translation is social network service. The meaning of social network includes hardware, software, services, and applications [8, 9]. Since the four-character phrases are more in line with Chinese word formation habits, people are accustomed to use social networks to refer to SNS. Three indicators of node centrality can be used to measure the centrality of nodes, as well as the power and centrality of actors in social networks [10]. Point centrality measures the degree of association between a node and other nodes in the network. Assuming that a certain community graph has T nodes in total and all edges connecting nodes are undirected edges, the point degree centrality of node i refers to the total number of associations between i and other n−1 nodes. The absolute degree centrality of a node can be expressed as
(1)CDTi=∑j=1gXiji≠j.The centrality calculated by this formula reflects the degree of correlation between nodes in the network, but the calculation of this absolute ordinal centrality depends on the scale (n) of the network. To change the influence of the network size on the calculation results, the ratio of the centrality of the absolute degree to the possible maximum node order of the network nodes should be used. This paper proposes a standardized measurement formula.
(2)CD′Ti=∑j=1gXiji≠jn−1.In the formula,n represents the number of nodes in the network and n−1 is the maximum absolute centrality possible in the network. The range of relative centrality is [0,1], where 0 represents an outlier. That is, this node is not connected to any other nodes. 1 means that the node is directly connected to every node in the network [11].Closeness centrality is an indicator expressed as(3)CAPi−1=∑j=1ndij,where dij is the shortcut distance between points i and j (i.e., the number of connections contained in the shortcut), computed as the inverse of the absolute proximity to the center. A similar degree of centrality normalization method can be used herein to obtain normalization relatively close to the reciprocal of centrality.
(4)CRPi−1=∑j=1ndijn−1,(5)CCni=n−1∑j=1ndni,nj.Betweenness centrality measures the degree to which a node plays an “intermediary” role in a social network. There are many paths between pointn and point m, and gnm represents the number of all paths between points n and m. Some of the connection paths between n and m are connected by point i, and gnmi represents the number of paths between points n and m connected by point i. The betweenness of point i to points n and m refers to the ability of the point to be on the path of the pair of points n and m, which is called “betweenness ratio.” That is, the number of paths connecting the two points n and m through point i accounts for the proportion of all paths at points n and m [12]. The absolute betweenness centrality of point i in a social network is the sum of the betweenness ratios of point i to all pairs of points in the social network. The formula is as follows:
(6)CABi=∑nn∑mnbnmi,n≠m≠i,n<m.The relative betweenness centrality can be normalized by dividing the absolute betweenness centrality by the maximum betweenness centrality:(7)CRBi=2CABin−1n−2,(8)CBni=∑n<mCnmniCnm.Node centrality can be used to measure the degree to which a participant acts as an “intermediary” in a social network, as well as the degree of control a participant has over resources. A higher node centrality indicates an increasing centrality of the social network.


### 3.2. Online Community

The three indicators are degree centrality, proximity centrality, and betweenness centrality. The most widely used concept in network diagrams is “density.” A “complete graph” is a graph in which all nodes are adjacent to each other. Network planning is a graphical model whose shape is like a network, so it is called a network diagram. A network diagram is composed of three elements: jobs, events, and routes. Density is the mass of a substance per unit volume, and it is a property of a substance, which is only related to the type of substance and has nothing to do with the mass and volume of the substance. In the graph, every node is directly related to all other nodes. Therefore, increasing the density of the relationship network and forming a reasonable, efficient, and convenient relationship network are conducive to promoting the comprehensive development of informatization.(9)T=mnn−1/2=2mnn−1.Among them,m represents the actual number of connections in the relationship network, and n represents the number of nodes in the relationship network. Suppose there are three nodes p, k, and q, the betweenness centrality of node k can be defined as the ratio of the geodesic lines passing through node k and connecting the two nodes p and q to the total number of geodesic lines between the two nodes p and q [13]. Specifically represented by a formula, the number of geodesics existing between node p and node q is represented by gpq, and the ability of node k to control the communication between these two nodes is represented by Qpqk. That is, node k looks like this: node q and the probability of node q being the shortest path between node p. The number of geodesics passing through node k located between node p and node q is denoted by gpqk. Next, the betweenness centrality of node k is expressed by Formula (7) as
(10)Qpqk=gpqkgpq.Proximity centrality measures the ability of a node to reach all other nodes with the shortest path, and its calculation is expressed by the following formula:(11)Ccni=∑m=1gdni,nm−1.In addition to the adjacent data center, the ability to access other data center network can help enterprises to improve the resiliency of IT. Businesses need to find a data center provider nearby and also need multiple options away from the desired location of the main site, whered represents the distance between i and m. The difference between the centrality of the same point and the centrality of the betweenness is that in the analysis of the proximity centrality, the smaller the accessibility value of the node to the centrality, the more points in the core of the network. The computation of the central potential depends on the centrality of each node in the relational network [14].
(12)C=∑i=1NCmax−Cimax∑i=1NCmax−Ci.In the formula,C represents the central potential, Cmax represents the largest centrality in the relational network, and Ci represents the centrality of other nodes. A cohesive subgroup describes a relatively strong, direct, close, and frequently interacting subnetwork. The density of agglomerated subgroups is one of the important variables to measure the structural characteristics of this subnetwork and is used to judge the degree of small group phenomenon existing in the relational network.
(13)E−Iindex=EL−ILEL+IL,where EL represents the number of relationships between subgroups and IL represents the number of relationships within subgroups.


### 3.3. The Adjustment of Empathic Traits to Casework

Relationship building and relationship types are inseparable. This paper first classifies the relationship types and then analyzes the process of relationship building. The relationship is classified from two directions: horizontal and vertical: the horizontal relationship is based on the reasons for relationship construction, and the vertical relationship is based on the degree of intimacy after the interaction of the relationship. Empathy is a new field in social research and has gradually become a hot issue in empathy research at home and abroad. Positive empathy has a significant positive effect on both implicit and explicit positive emotions, but the mechanism of action is relatively separate. Interpersonal emotion regulation strategies are the mediating variables of the relationship between positive empathy and implicit positive emotion, and relational self-construction has a moderating effect on this mediating effect. Relational self-construction is the mediating variable of the relationship between positive empathy and explicit positive emotion, and interpersonal emotion regulation strategies have a moderating effect on this mediating effect. The formula for empathyG is
(14)G=Y+S+L.In the formula,Y stands for emotional prediction, S stands for expressing feelings, and L stands for expressing hope. The principle of empathy inhibition is to explore whether the subjects have attention inhibition to distracting stimuli according to whether the distracting stimuli interfere with the negative priming task. Whether the subject has attentional inhibition to distracting stimuli is mainly measured by the index of negative priming. The calculation formula of negative priming F is as follows:
(15)F=R−T.Emotion regulation includes all positive and negative specific emotion regulation. Such as happiness, interest, sadness, anger, fear, depression, and anxiety. Regarding emotion regulation, it is easy to think of the regulation of negative emotions. When people are angry, they need to restrain themselves; when they are sad, they need to change the environment and think about some happy things. In fact, positive emotions also need to be adjusted in certain situations. In the formula,R represents the target stimulus in the detection phase of the experimental condition, and T represents the target stimulus in the detection phase of the control condition. Mental field refers to “all the facts that determine a person’s behavior at a certain time.” In the environment in which the individual lives, all influential facts, even if the individual does not realize it, belong to the individual’s psychological field. This paper proposes a behavioral formula:
(16)B=fP∗E.P refers to the character of a person, E refers to the environment in which the person lives, and B is the behavior. This paper believes that the behavior of a person is determined by the interaction between the person and the environment. Therefore, the influence of the environment on people and people’s cognition of the environment are facts that actually have an effect and affect individual behavior. From the mechanism of behavior, it provides a dialectical perspective from the objective to the subjective and the subjective perception to the objective [15].The three dimensions of empathy fatigue are empathy satisfaction, job burnout, and secondary trauma. 583 questionnaires were distributed to casework-related personnel for descriptive statistical analysis. Among them, the total score of empathy satisfaction item is 33.01 points, and the item average score is 3.30 points; the total score of job burnout item is 25.67 points, and the item average score is 2.57 points. The total score of the secondary trauma item was 25.63 points, and the item average score was 2.56 points. Among them, the empathy satisfaction dimension has an average score of 3.30, which is the highest average score among the three dimensions and is in the middle and upper level of the 1-5 points, indicating that the questionnaire survey has good empathy satisfaction. The secondary trauma dimension has an average score of 2.56, which is in the middle level of 1-5. It shows that in the questionnaire survey, the secondary trauma of casework is the most serious, followed by job burnout. The specific analysis results are shown in Table1.Table 1
Respondents’ scores for each dimension of empathy fatigue (N=645).
DimensionItem total scoreItems are evenly dividedMeanSDMeanSDEmpathy29.298.422.480.84Job burnout33.379.922.210.77Secondary trauma24.867.363.530.98Items will be scored on a positive basis, showing positive trends in empathy satisfaction and negative trends in the dimensions of burnout and secondary trauma. This paper first calculates the original scorez of each dimension and uses SPSS software to convert the original score to the standard score T. The conversion formula is
(17)T=10∗Z+50.The modeling idea of the social influence model comes from the social influence theory in psychology, which describes how individuals in a group perceive the existence of other individuals and how to exert influence on other individuals [16]. The opinion aggregation process in the model starts with a population of size N. Each individual’s opinion is assigned +1 and −1, and each individual is assigned two real-valued strength parameters, namely, persuasion strength pi and support strength si. They refer to an individual’s level of ability to persuade others to change and maintain their original views, respectively. It is assumed that the values of these parameters are random, and the distance between any two individuals i and j is dij. Then, the social influence on individual i can be represented by Ii, which is the sum of the influences of all other individuals on i, defined as follows:
(18)Ii=∑j=1NPjdija1−QiQj−∑j=1NSjdija1−QiQj,where a represents the rate at which social influence decays with individual distance. The first term in Formula (18) represents the persuasion strength, which represents the level of pressure an individual experiences to change his opinion from an individual with opposing views. Assuming that the system noise is hi, the dynamic process of group opinion agglomeration can be expressed by the following rules:
(19)Qit+1=−sgaQitIit+hi.The individual in the Hegselmann-Krause model does not interact with only one individual in the group at each moment as in the Weisbuch-Deffuant model but interacts with all his neighbors every time. The opinion aggregation rule in the Hegselmann-Krause model is shown in the following formula:(20)Xit+1=∑j=1naijXjt,where aij is the influence weight of individual j on individual i.


## 3.1. Application of Social Network Analysis Method

The method part of this paper mainly talks about the benefits that wireless communication brings to online communities, so that people can communicate and communicate anytime and anywhere, share their emotions, and release pressure. A social network is a collection of social actors and their relationships, points in the relationship graph are used to represent social actors, and edges are used to represent relationships to form a social network. According to the binary matrix, using Ucinet software to insert the binary matrix, the social network correlation graph shown in Figure1 will be obtained.Figure 1
Social network association diagram.Social network is a social network service, which is derived from the translation of English SNS; the Chinese literal translation is social network service; and the free translation is social network service. The meaning of social network includes hardware, software, services, and applications [8, 9]. Since the four-character phrases are more in line with Chinese word formation habits, people are accustomed to use social networks to refer to SNS. Three indicators of node centrality can be used to measure the centrality of nodes, as well as the power and centrality of actors in social networks [10]. Point centrality measures the degree of association between a node and other nodes in the network. Assuming that a certain community graph has T nodes in total and all edges connecting nodes are undirected edges, the point degree centrality of node i refers to the total number of associations between i and other n−1 nodes. The absolute degree centrality of a node can be expressed as
(1)CDTi=∑j=1gXiji≠j.The centrality calculated by this formula reflects the degree of correlation between nodes in the network, but the calculation of this absolute ordinal centrality depends on the scale (n) of the network. To change the influence of the network size on the calculation results, the ratio of the centrality of the absolute degree to the possible maximum node order of the network nodes should be used. This paper proposes a standardized measurement formula.
(2)CD′Ti=∑j=1gXiji≠jn−1.In the formula,n represents the number of nodes in the network and n−1 is the maximum absolute centrality possible in the network. The range of relative centrality is [0,1], where 0 represents an outlier. That is, this node is not connected to any other nodes. 1 means that the node is directly connected to every node in the network [11].Closeness centrality is an indicator expressed as(3)CAPi−1=∑j=1ndij,where dij is the shortcut distance between points i and j (i.e., the number of connections contained in the shortcut), computed as the inverse of the absolute proximity to the center. A similar degree of centrality normalization method can be used herein to obtain normalization relatively close to the reciprocal of centrality.
(4)CRPi−1=∑j=1ndijn−1,(5)CCni=n−1∑j=1ndni,nj.Betweenness centrality measures the degree to which a node plays an “intermediary” role in a social network. There are many paths between pointn and point m, and gnm represents the number of all paths between points n and m. Some of the connection paths between n and m are connected by point i, and gnmi represents the number of paths between points n and m connected by point i. The betweenness of point i to points n and m refers to the ability of the point to be on the path of the pair of points n and m, which is called “betweenness ratio.” That is, the number of paths connecting the two points n and m through point i accounts for the proportion of all paths at points n and m [12]. The absolute betweenness centrality of point i in a social network is the sum of the betweenness ratios of point i to all pairs of points in the social network. The formula is as follows:
(6)CABi=∑nn∑mnbnmi,n≠m≠i,n<m.The relative betweenness centrality can be normalized by dividing the absolute betweenness centrality by the maximum betweenness centrality:(7)CRBi=2CABin−1n−2,(8)CBni=∑n<mCnmniCnm.Node centrality can be used to measure the degree to which a participant acts as an “intermediary” in a social network, as well as the degree of control a participant has over resources. A higher node centrality indicates an increasing centrality of the social network.


## 3.2. Online Community

The three indicators are degree centrality, proximity centrality, and betweenness centrality. The most widely used concept in network diagrams is “density.” A “complete graph” is a graph in which all nodes are adjacent to each other. Network planning is a graphical model whose shape is like a network, so it is called a network diagram. A network diagram is composed of three elements: jobs, events, and routes. Density is the mass of a substance per unit volume, and it is a property of a substance, which is only related to the type of substance and has nothing to do with the mass and volume of the substance. In the graph, every node is directly related to all other nodes. Therefore, increasing the density of the relationship network and forming a reasonable, efficient, and convenient relationship network are conducive to promoting the comprehensive development of informatization.(9)T=mnn−1/2=2mnn−1.Among them,m represents the actual number of connections in the relationship network, and n represents the number of nodes in the relationship network. Suppose there are three nodes p, k, and q, the betweenness centrality of node k can be defined as the ratio of the geodesic lines passing through node k and connecting the two nodes p and q to the total number of geodesic lines between the two nodes p and q [13]. Specifically represented by a formula, the number of geodesics existing between node p and node q is represented by gpq, and the ability of node k to control the communication between these two nodes is represented by Qpqk. That is, node k looks like this: node q and the probability of node q being the shortest path between node p. The number of geodesics passing through node k located between node p and node q is denoted by gpqk. Next, the betweenness centrality of node k is expressed by Formula (7) as
(10)Qpqk=gpqkgpq.Proximity centrality measures the ability of a node to reach all other nodes with the shortest path, and its calculation is expressed by the following formula:(11)Ccni=∑m=1gdni,nm−1.In addition to the adjacent data center, the ability to access other data center network can help enterprises to improve the resiliency of IT. Businesses need to find a data center provider nearby and also need multiple options away from the desired location of the main site, whered represents the distance between i and m. The difference between the centrality of the same point and the centrality of the betweenness is that in the analysis of the proximity centrality, the smaller the accessibility value of the node to the centrality, the more points in the core of the network. The computation of the central potential depends on the centrality of each node in the relational network [14].
(12)C=∑i=1NCmax−Cimax∑i=1NCmax−Ci.In the formula,C represents the central potential, Cmax represents the largest centrality in the relational network, and Ci represents the centrality of other nodes. A cohesive subgroup describes a relatively strong, direct, close, and frequently interacting subnetwork. The density of agglomerated subgroups is one of the important variables to measure the structural characteristics of this subnetwork and is used to judge the degree of small group phenomenon existing in the relational network.
(13)E−Iindex=EL−ILEL+IL,where EL represents the number of relationships between subgroups and IL represents the number of relationships within subgroups.


## 3.3. The Adjustment of Empathic Traits to Casework

Relationship building and relationship types are inseparable. This paper first classifies the relationship types and then analyzes the process of relationship building. The relationship is classified from two directions: horizontal and vertical: the horizontal relationship is based on the reasons for relationship construction, and the vertical relationship is based on the degree of intimacy after the interaction of the relationship. Empathy is a new field in social research and has gradually become a hot issue in empathy research at home and abroad. Positive empathy has a significant positive effect on both implicit and explicit positive emotions, but the mechanism of action is relatively separate. Interpersonal emotion regulation strategies are the mediating variables of the relationship between positive empathy and implicit positive emotion, and relational self-construction has a moderating effect on this mediating effect. Relational self-construction is the mediating variable of the relationship between positive empathy and explicit positive emotion, and interpersonal emotion regulation strategies have a moderating effect on this mediating effect. The formula for empathyG is
(14)G=Y+S+L.In the formula,Y stands for emotional prediction, S stands for expressing feelings, and L stands for expressing hope. The principle of empathy inhibition is to explore whether the subjects have attention inhibition to distracting stimuli according to whether the distracting stimuli interfere with the negative priming task. Whether the subject has attentional inhibition to distracting stimuli is mainly measured by the index of negative priming. The calculation formula of negative priming F is as follows:
(15)F=R−T.Emotion regulation includes all positive and negative specific emotion regulation. Such as happiness, interest, sadness, anger, fear, depression, and anxiety. Regarding emotion regulation, it is easy to think of the regulation of negative emotions. When people are angry, they need to restrain themselves; when they are sad, they need to change the environment and think about some happy things. In fact, positive emotions also need to be adjusted in certain situations. In the formula,R represents the target stimulus in the detection phase of the experimental condition, and T represents the target stimulus in the detection phase of the control condition. Mental field refers to “all the facts that determine a person’s behavior at a certain time.” In the environment in which the individual lives, all influential facts, even if the individual does not realize it, belong to the individual’s psychological field. This paper proposes a behavioral formula:
(16)B=fP∗E.P refers to the character of a person, E refers to the environment in which the person lives, and B is the behavior. This paper believes that the behavior of a person is determined by the interaction between the person and the environment. Therefore, the influence of the environment on people and people’s cognition of the environment are facts that actually have an effect and affect individual behavior. From the mechanism of behavior, it provides a dialectical perspective from the objective to the subjective and the subjective perception to the objective [15].The three dimensions of empathy fatigue are empathy satisfaction, job burnout, and secondary trauma. 583 questionnaires were distributed to casework-related personnel for descriptive statistical analysis. Among them, the total score of empathy satisfaction item is 33.01 points, and the item average score is 3.30 points; the total score of job burnout item is 25.67 points, and the item average score is 2.57 points. The total score of the secondary trauma item was 25.63 points, and the item average score was 2.56 points. Among them, the empathy satisfaction dimension has an average score of 3.30, which is the highest average score among the three dimensions and is in the middle and upper level of the 1-5 points, indicating that the questionnaire survey has good empathy satisfaction. The secondary trauma dimension has an average score of 2.56, which is in the middle level of 1-5. It shows that in the questionnaire survey, the secondary trauma of casework is the most serious, followed by job burnout. The specific analysis results are shown in Table1.Table 1
Respondents’ scores for each dimension of empathy fatigue (N=645).
DimensionItem total scoreItems are evenly dividedMeanSDMeanSDEmpathy29.298.422.480.84Job burnout33.379.922.210.77Secondary trauma24.867.363.530.98Items will be scored on a positive basis, showing positive trends in empathy satisfaction and negative trends in the dimensions of burnout and secondary trauma. This paper first calculates the original scorez of each dimension and uses SPSS software to convert the original score to the standard score T. The conversion formula is
(17)T=10∗Z+50.The modeling idea of the social influence model comes from the social influence theory in psychology, which describes how individuals in a group perceive the existence of other individuals and how to exert influence on other individuals [16]. The opinion aggregation process in the model starts with a population of size N. Each individual’s opinion is assigned +1 and −1, and each individual is assigned two real-valued strength parameters, namely, persuasion strength pi and support strength si. They refer to an individual’s level of ability to persuade others to change and maintain their original views, respectively. It is assumed that the values of these parameters are random, and the distance between any two individuals i and j is dij. Then, the social influence on individual i can be represented by Ii, which is the sum of the influences of all other individuals on i, defined as follows:
(18)Ii=∑j=1NPjdija1−QiQj−∑j=1NSjdija1−QiQj,where a represents the rate at which social influence decays with individual distance. The first term in Formula (18) represents the persuasion strength, which represents the level of pressure an individual experiences to change his opinion from an individual with opposing views. Assuming that the system noise is hi, the dynamic process of group opinion agglomeration can be expressed by the following rules:
(19)Qit+1=−sgaQitIit+hi.The individual in the Hegselmann-Krause model does not interact with only one individual in the group at each moment as in the Weisbuch-Deffuant model but interacts with all his neighbors every time. The opinion aggregation rule in the Hegselmann-Krause model is shown in the following formula:(20)Xit+1=∑j=1naijXjt,where aij is the influence weight of individual j on individual i.


## 4. Casework Solving Experiments and Analysis

### 4.1. Case Problems of Caregivers of Mentally Handicapped Youths

This study adopts social casework method, combined with research method, unstructured interview method, participant observation method, and other research methods. Understand the client’s current living conditions and assess their problems and needs through a thorough investigation of the client and its neighbors [17]. The social support network of mentally handicapped adolescents is shown in Figure 2.Figure 2
Four-dimensional relationship diagram of intellectually disabled children and their families.As can be seen from the figure, the social support network of adolescents with intellectual disabilities and their families has four aspects: informal social support, semi-official social support, official social support, and social work support.Due to the particularity of the subject of this study, it is not suitable to conduct random surveys in crowded areas. Therefore, the questionnaire survey of this study was conducted based on a Sunshine Home, and the subjects of the survey were the caregivers of mentally handicapped adolescents who participated in activities in the Sunshine Home. The questionnaire is in the form of a structured questionnaire. This paper investigates the current situation of the social support network of young mentally ill caregivers in a Sunshine Home in a certain place. Social support network for young mentally ill caregivers: from the perspective of formal social support network, only 15% of those who have problems seek help from formal social support networks such as the government or the community. However, at least 75% of their employment problems or employment training need government help [18]. However, compared with the first two social support networks, informal social support networks are the main resources for caregivers of mentally handicapped adolescents.From the data analysis of the survey, formal social support network resources such as government and community are largely ignored by caregivers of mentally handicapped adolescents. It is reflected in several aspects:It can be seen from Table2 that the work rate of caregivers of mentally handicapped adolescents is low. It can be seen from Table 3 that the labor force in the family who takes care of the mentally handicapped youth is unemployed, so the family income is low. It can be seen from Table 4 that families of mentally handicapped adolescents have not fully utilized community resources.Table 2
Employment status of caregivers of mentally handicapped youth.
Employment statusNumberProportion (%)Full time job210Part-time735Unemployed945Other210Total20100Table 3
Monthly household income of mentally handicapped adolescents.
Monthly incomeNumberProportion (%)1000-20006302000-40008404000-6000525Other15Total20100Table 4
Carers’ participation in community activities.
ParticipationNumberProportion (%)Never1155Occasionally630Frequently210Positive15Total20100Compared with the formal social support network, the use of the informal social support network is still optimistic, but there are still a considerable number of people who ignore some informal social support network resources. Figure3 shows the sources of financial and psychological help for caregivers.Figure 3
Sources of help for caregivers’ financial and psychological problems.As can be seen from the figure, their sources of financial help are scarce, and there is a single way of psychological counseling. According to the on-site interviews and preliminary assessment of the specific circumstances of the cases, the social workers have a relatively weak social support network for the two cases in common, and the social workers focus on the social support systems of the two clients. Combining the advantage perspective, the theory of empowerment, and the theory of defect compensation, it carried out specific social work intervention for the two clients. The specific intervention process is shown in Figure4.Figure 4
Case specific intervention flow chart.Because this research is based on the client’s social support system and because of the limitations of the two clients’ own physiological level. Therefore, this paper mainly adopts the follow-up and evaluation of the relevant members in the social support system of the two clients and extracts the results of this research from the interviews. The evaluation showed that through the 6-month casework service, the situation of client A and client B was significantly improved. And generally achieved the goal of promoting the improvement of the social support network of small A and small B, so the case was successfully closed [19].This paper also puts forward some suggestions. The society should improve the social security system, strengthen the formal support of the government and the community, support the development of children’s self-care ability, and establish more special education schools.


### 4.2. Case Problems of Children with Autism

Since the improvement of Xiao A’s social behavior in this study mainly focused on two aspects of joint attention and nonverbal communication behavior, the social behavior problems of Xiao A were specifically elaborated from these two aspects [20].Aiming at the coattention status of little A, the author tests little A for coattention according to the predesigned coattention behavior index table and records the test results of little A. Figure5 shows the final results of the coattention behavior tested by Xiao A in the first week of the baseline period.Figure 5
Statistical graph of Xiao A’s coattention behavior in the baseline period.It can be seen from the figure that Xiao A performs well in auditory coattention behavior, but the overall level of coattention still needs to be improved. As far as the overall situation is concerned, in Xiao A’s coattention behavior test, the majority of negative responses are followed, followed by positive responses, and there is a larger proportion of delayed responses. Figure6 shows the problem of nonverbal communication behavior of children with autism, Xiao A.Figure 6
Statistical chart of small A’s nonverbal communication behavior at baseline.It can be seen from Figure6 that in the overall test of Xiao A’s nonverbal communication behavior, there were 15 negative responses, 8 positive responses, and 7 delayed responses. In this paper, we can see that the number of negative reactions of little A is overwhelming, which indicates that little A has less nonverbal communication behaviors and needs systematic learning and reinforcement [21].The training steps are divided into three stages: social work intervention in the stage of joint attention improvement, social work intervention in the stage of non-verbal communication behavior improvement, and intervention in the stage of basic social behavior improvement.From the changes of Xiao A’s mother and special education teacher’s nonverbal communication behavior, the author found that Xiao A has made obvious progress in some relatively simple polite nonverbal communication behaviors [22]. After summarizing the recorded data of the maintenance period of the coattention improvement of the autistic children, it is the same as the assessment method of the coattention change of the little A. After summarizing the recorded data of the autistic child Xiao A’s nonverbal communication behavior improvement and maintenance period, the author sorted out the records of the autistic children’s social behavior improvement training period as shown in Figures 7 and 8.Figure 7
Statistical graph of Xiao A’s coattention behavior and non-verbal communication behavior during the intervention period.Figure 8
Small A’s coattention behavior change curve and nonverbal communication behavior change curve.As can be seen from Figure8, Xiao A’s nonverbal communication behavior has been improved to a certain extent. Among them, in the first test of recognizing the card by “nodding” or “shaking his head” according to the instruction, little A made 3 ideal behaviors. This has a lot to do with Little A’s improvement in coattention in following instructions. Xiao A’s outstanding performance on this behavioral indicator test is also a proof of Xiao A’s improvement in joint attention. At present, the nonverbal communication behavior of Xiao A has been significantly improved, and the improvement rate has reached 65.1%.


### 4.3. Case Problems of the Lonely and Widowed Elderly

Based on the information obtained from the community staff and the survey of the elderly in a certain community, the author expounds and analyzes the elderly in the community from two aspects of economic support and living support. The survey found that the financial sources of the elderly in the community came from pensions, child alimony, and community subsidies [23]. The majority of the elderly in the community rely on pensions to live, and some elderly people come here from other places or rural areas to live with their children. They have never paid endowment insurance, so they have no pension and rely on their children to support them. A few elderly people only rely on monthly minimum living allowances. The statistical results are shown in Figure 9.Figure 9
The economic source of the elderly alone.In terms of life support, spouses and children play a major role as providers of family support [24]. The spouse status and living conditions of the elderly in the community were counted, and the results are shown in Figure 10.Figure 10
Family structure distribution of the elderly in the community.Many elderly people in the community lack the care of their families, live relatively lonely, lack interaction with the community, and gradually derail from society as they grow older [25]. The suggestion of this paper is to strengthen community construction and expand community services for the elderly. In terms of facilities, the community should build public canteens to solve the dietary problems of the elderly. In order to enrich the entertainment life of the elderly, the community should set up libraries, chess and card rooms, activity rooms, fitness rooms, etc. for the elderly [26].


## 4.1. Case Problems of Caregivers of Mentally Handicapped Youths

This study adopts social casework method, combined with research method, unstructured interview method, participant observation method, and other research methods. Understand the client’s current living conditions and assess their problems and needs through a thorough investigation of the client and its neighbors [17]. The social support network of mentally handicapped adolescents is shown in Figure 2.Figure 2
Four-dimensional relationship diagram of intellectually disabled children and their families.As can be seen from the figure, the social support network of adolescents with intellectual disabilities and their families has four aspects: informal social support, semi-official social support, official social support, and social work support.Due to the particularity of the subject of this study, it is not suitable to conduct random surveys in crowded areas. Therefore, the questionnaire survey of this study was conducted based on a Sunshine Home, and the subjects of the survey were the caregivers of mentally handicapped adolescents who participated in activities in the Sunshine Home. The questionnaire is in the form of a structured questionnaire. This paper investigates the current situation of the social support network of young mentally ill caregivers in a Sunshine Home in a certain place. Social support network for young mentally ill caregivers: from the perspective of formal social support network, only 15% of those who have problems seek help from formal social support networks such as the government or the community. However, at least 75% of their employment problems or employment training need government help [18]. However, compared with the first two social support networks, informal social support networks are the main resources for caregivers of mentally handicapped adolescents.From the data analysis of the survey, formal social support network resources such as government and community are largely ignored by caregivers of mentally handicapped adolescents. It is reflected in several aspects:It can be seen from Table2 that the work rate of caregivers of mentally handicapped adolescents is low. It can be seen from Table 3 that the labor force in the family who takes care of the mentally handicapped youth is unemployed, so the family income is low. It can be seen from Table 4 that families of mentally handicapped adolescents have not fully utilized community resources.Table 2
Employment status of caregivers of mentally handicapped youth.
Employment statusNumberProportion (%)Full time job210Part-time735Unemployed945Other210Total20100Table 3
Monthly household income of mentally handicapped adolescents.
Monthly incomeNumberProportion (%)1000-20006302000-40008404000-6000525Other15Total20100Table 4
Carers’ participation in community activities.
ParticipationNumberProportion (%)Never1155Occasionally630Frequently210Positive15Total20100Compared with the formal social support network, the use of the informal social support network is still optimistic, but there are still a considerable number of people who ignore some informal social support network resources. Figure3 shows the sources of financial and psychological help for caregivers.Figure 3
Sources of help for caregivers’ financial and psychological problems.As can be seen from the figure, their sources of financial help are scarce, and there is a single way of psychological counseling. According to the on-site interviews and preliminary assessment of the specific circumstances of the cases, the social workers have a relatively weak social support network for the two cases in common, and the social workers focus on the social support systems of the two clients. Combining the advantage perspective, the theory of empowerment, and the theory of defect compensation, it carried out specific social work intervention for the two clients. The specific intervention process is shown in Figure4.Figure 4
Case specific intervention flow chart.Because this research is based on the client’s social support system and because of the limitations of the two clients’ own physiological level. Therefore, this paper mainly adopts the follow-up and evaluation of the relevant members in the social support system of the two clients and extracts the results of this research from the interviews. The evaluation showed that through the 6-month casework service, the situation of client A and client B was significantly improved. And generally achieved the goal of promoting the improvement of the social support network of small A and small B, so the case was successfully closed [19].This paper also puts forward some suggestions. The society should improve the social security system, strengthen the formal support of the government and the community, support the development of children’s self-care ability, and establish more special education schools.


## 4.2. Case Problems of Children with Autism

Since the improvement of Xiao A’s social behavior in this study mainly focused on two aspects of joint attention and nonverbal communication behavior, the social behavior problems of Xiao A were specifically elaborated from these two aspects [20].Aiming at the coattention status of little A, the author tests little A for coattention according to the predesigned coattention behavior index table and records the test results of little A. Figure5 shows the final results of the coattention behavior tested by Xiao A in the first week of the baseline period.Figure 5
Statistical graph of Xiao A’s coattention behavior in the baseline period.It can be seen from the figure that Xiao A performs well in auditory coattention behavior, but the overall level of coattention still needs to be improved. As far as the overall situation is concerned, in Xiao A’s coattention behavior test, the majority of negative responses are followed, followed by positive responses, and there is a larger proportion of delayed responses. Figure6 shows the problem of nonverbal communication behavior of children with autism, Xiao A.Figure 6
Statistical chart of small A’s nonverbal communication behavior at baseline.It can be seen from Figure6 that in the overall test of Xiao A’s nonverbal communication behavior, there were 15 negative responses, 8 positive responses, and 7 delayed responses. In this paper, we can see that the number of negative reactions of little A is overwhelming, which indicates that little A has less nonverbal communication behaviors and needs systematic learning and reinforcement [21].The training steps are divided into three stages: social work intervention in the stage of joint attention improvement, social work intervention in the stage of non-verbal communication behavior improvement, and intervention in the stage of basic social behavior improvement.From the changes of Xiao A’s mother and special education teacher’s nonverbal communication behavior, the author found that Xiao A has made obvious progress in some relatively simple polite nonverbal communication behaviors [22]. After summarizing the recorded data of the maintenance period of the coattention improvement of the autistic children, it is the same as the assessment method of the coattention change of the little A. After summarizing the recorded data of the autistic child Xiao A’s nonverbal communication behavior improvement and maintenance period, the author sorted out the records of the autistic children’s social behavior improvement training period as shown in Figures 7 and 8.Figure 7
Statistical graph of Xiao A’s coattention behavior and non-verbal communication behavior during the intervention period.Figure 8
Small A’s coattention behavior change curve and nonverbal communication behavior change curve.As can be seen from Figure8, Xiao A’s nonverbal communication behavior has been improved to a certain extent. Among them, in the first test of recognizing the card by “nodding” or “shaking his head” according to the instruction, little A made 3 ideal behaviors. This has a lot to do with Little A’s improvement in coattention in following instructions. Xiao A’s outstanding performance on this behavioral indicator test is also a proof of Xiao A’s improvement in joint attention. At present, the nonverbal communication behavior of Xiao A has been significantly improved, and the improvement rate has reached 65.1%.


## 4.3. Case Problems of the Lonely and Widowed Elderly

Based on the information obtained from the community staff and the survey of the elderly in a certain community, the author expounds and analyzes the elderly in the community from two aspects of economic support and living support. The survey found that the financial sources of the elderly in the community came from pensions, child alimony, and community subsidies [23]. The majority of the elderly in the community rely on pensions to live, and some elderly people come here from other places or rural areas to live with their children. They have never paid endowment insurance, so they have no pension and rely on their children to support them. A few elderly people only rely on monthly minimum living allowances. The statistical results are shown in Figure 9.Figure 9
The economic source of the elderly alone.In terms of life support, spouses and children play a major role as providers of family support [24]. The spouse status and living conditions of the elderly in the community were counted, and the results are shown in Figure 10.Figure 10
Family structure distribution of the elderly in the community.Many elderly people in the community lack the care of their families, live relatively lonely, lack interaction with the community, and gradually derail from society as they grow older [25]. The suggestion of this paper is to strengthen community construction and expand community services for the elderly. In terms of facilities, the community should build public canteens to solve the dietary problems of the elderly. In order to enrich the entertainment life of the elderly, the community should set up libraries, chess and card rooms, activity rooms, fitness rooms, etc. for the elderly [26].


## 5. Discussion

Although the research process of this paper has achieved the expected service goal, there are still some problems. For example, the combination of theory and practice is not close, and the subsequent changes in customer needs and problems lead to the reduction of service effectiveness. To deal with these situations, future researchers can conduct comprehensive assessments, strengthen the integration and application of theoretical knowledge, and explore new ways of social casework methods. Intervene in social casework issues by establishing an informal social support network, and then, return to the client regularly to follow up on the latest situation.


## 6. Conclusions

In the problem family intervention service studied in this paper, the workers summarize and grasp the common problems existing in the current problem family. They chose the method of case-based social work to intervene in two problem families with different situations, respectively, and carried out services under the guidance of social support network theory, which basically solved many problems encountered by service clients. Through this study of the casework system, it is found that self-esteem, family support, living environment types, and different life experiences are factors that affect the establishment of social support networks for problem families. The main links are as follows: low self-esteem becomes an important factor limiting relationship building, and family support becomes the key in social support network. The type of living environment affects the use of social support, and different experiences have different effects on social life.



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*Source: 7394404-2022-04-22.xml*