From the perspective of Activity Theory (AT), this paper analyses the author's task-based teaching practice of English journal and newspaper reading and adopts a qualitative study approach to examine the influence of task design on students’ reading competence development. The tasks are designed mainly in the form of group work, highlighting the students as the subject and the regulating role of mediating artefacts, community, rules and division of labour. The data of students’ reflection journals, reading reports and group work records show that after the training of a series of tasks for eight units, students’ ability in reading English newspapers has been greatly developed, and they are also more confident in speaking and writing.
Reading articles from English journals and newspapers can broaden our cultural horizons and help us understand idiomatic language expressions, which is an important way to effectively improve one's English reading ability. In recent years, with the deepening of higher education reform, many colleges and universities begin to offer English newspaper and journal reading courses for non-English majors. However, owing to its wide coverage of subjects, usage of professional terms and difficult language, it is not easy for the non-English majors to master this course. Many teachers are still using the old teaching method, leaving the class lifeless and students puzzled. The current situation deserves every foreign language teacher's reflection.
Given the important role of the social and cultural environment in English newspaper reading, Activity Theory (AT), the core concept of Social and Cultural Theory (SCT), can provide an important theoretical basis for the teaching practice of this course. Therefore, from the perspective of AT, this study regards the author's classroom teaching practice as an activity system, and makes an in-depth analysis of the task design in class and its teaching effect, hoping to provide a reference for relevant research and practice.
Since Long proposed task-based language teaching (TBLT) in the 1980s, this new language teaching mode has attracted widespread attention at home and abroad [1], and has been widely applied in classroom teaching. Its related research mainly focused on the task itself, exploring some important concepts, such as task characteristics, task evaluation and so on, from the perspective of cognitive linguistics [2]. The role of socio-environmental factors was accordingly paid little attention to [3]. Therefore, in recent years, many scholars began to use the main concepts of SCT to study TBLT [4].
As one of the core concepts of SCT, AT was originally proposed by Vygotsky (1978) and developed by Leont’ev (1981) and Engeström (1987). This theory proposed an activity system that includes the elements of the socio-cultural environment, as shown in Figure 1. The six key elements of AT, including subject, object, community, tools, rules and division of labour, interact with each other in the learner's cognitive practice. In order to achieve the object, the subject forms a community with other individuals who have a common goal and completes the practice activities with the help of certain mediating tools under the premise of certain rules. In this process, each member of the community has a different division of labour in terms of task allocation, status and power.
Fig. 1
Engeström's (1987) third generation AT framework. AT, Activity Theory.

The activity system can reflect learners’ learning process and the means by which they achieve the goal in a multi-dimensional and dynamic way, which can be used to observe and analyse the second language classroom teaching [5]. At present, there are few researches on TBLT from the perspective of AT in China, and most of them focus on foreign countries. For example, the influence of different language environments on learners’ task performance is explored through the activity analysis of the tasks [6]; the process and results of learners’ participation in tasks are analysed in the activity system from the perspective of business English course [7]; some researches use AT to guide curriculum design [8] or analyse teachers’ cognition of TBLT [9]. With the widespread development of TBLT, integrating AT into TBLT can help teachers know about students’ task completion process more clearly, to timely adjust the task design and achieve better teaching results. Given the above, this study established reading groups in the TBLT to make up a community that aimed to improve students’ English newspaper reading ability, during which the rules and division of labour were determined and appropriate mediations were provided. This paper will use qualitative research method to deeply analyse the task design and its effect in the English newspaper and journal reading teaching from the perspective of AT, in an attempt to answer the core research question: How do classroom tasks affect the students’ development of English newspaper reading ability?
The author works in an undergraduate university in central China. English newspaper and journal reading is a public elective course for non-English majors in the second semester of the second year. This study selected 42 students from Class One taught by the author as the participants to carry out classroom teaching observation and research. A total of 34 students in the class passed CET-4, while the other eight scored between 380 and 425. Although there are some differences in their basic level of language, none of them has ever taken any systematic training in English newspaper reading before learning this course, and they are eager to broaden their cultural horizons and improve their reading through this course.
Given the existing problems in TBLT research of being too short the period [4], this study carried out TBLT for a semester of 18 weeks during which students were organised to complete a series of single or group reading tasks in order to improve their reading ability. In order to better explain the relationship between classroom tasks and the development of students’ reading ability, the following section will be discussed from two aspects: teaching design and activity analysis of tasks.
The textbook for this course is selected as New Mass Media Reading (Fourth Edition). With a wide range of topics, the articles in this book are about major hot issues in recent years, which are informative, timely and interesting. The author chose eight units, including different topics about culture, politics, global personage, finance, sci-tech front and sports. At the beginning of the semester, students were divided into eight reading groups.
In the first week, the teacher introduced the teaching plan and requirements and especially emphasised the importance of independent reading. In order to build students’ confidence and interest in reading, the author shared her reading experience of English journals in the first week. Then, group discussions were carried out to make a semester reading plan and the discussion records were submitted after conclusion of the classroom session.
From the second week on, TBLT was carried out based on the topic of each unit. The task design of each unit was divided into input-based tasks and output-based tasks [10]. Authentic input materials with moderate difficulty were selected so as to promote students’ subjectivity and initiative.
Previous studies have proved that task complexity is closely related to the degree of completion of learners [11]. Therefore, the tasks of each unit were designed from easy to difficult, gradually transiting from input-based tasks to output-based tasks to improve students’ understanding ability and benefit their speaking and writing in the meantime. Next, the author will take four periods in one unit as an example to illustrate how the tasks were designed.
Before the first period, students were required to read the article independently, memorise important words in the article, search relevant background knowledge on the Internet, write a summary of the general idea and hand it in. In class, after introducing background knowledge, the teacher explained the common stylistic features of newspaper articles and the reading skills required to successfully assimilate information from them. During the second period, students were organised into group discussions to find out specific cases of the stylistic features from the articles and analyse them based on the content of the articles. During the group work, the teacher joined in the discussion according to the needs of the students and provided the necessary help. At the end of the discussion, the representative of each group chose one case from their discussion to make a presentation in class, after which the teacher gave comments on each group.
Before the third period, students were asked to read the text thoroughly, discuss with group members about the assigned tasks and work together to prepare a 4–5 min presentation. In the cases of problems that could not be solved through discussion, students were permitted at any time to consult the Internet or seek help from teachers through QQ or DingTalk. In the third and fourth periods, each group gave a presentation based on the assigned task. After the teacher was satisfied that the students had finished learning each part of the article, each group was organised so as to facilitate discussion of some topics about the unit in order to improve students’ critical thinking ability. After class, each student should hand in a reflection based on the discussion before class, preparation for the presentation and the feedback from classmates and teachers.
The author shared with students a lot of useful websites from which to access English journals and newspapers and required them to make their own reading plans. At the end of each month, a reading journal should be handed in to report the main ideas of the articles students read and their reflections.
At the end of the semester, students can choose an article of about 1000 words from the English journal or newspaper; analyse it from the aspects of stylistic features, main idea and understanding of important sentences and paragraphs; and finally form a reading report.
In order to urge students to pay attention to reading accumulation, the author emphasised the importance of independent reading after class and also informed students of the proportion of the assessment: attendance 10%, class performance 10%, 8 group presentations 40%, reflection 20% and final article analysis 20%.
In the stage of the input-based tasks, students are the subject of the activity system. The object is to understand the background of the article, understand the main idea and write a summary of the general idea. The understanding of English journals or newspapers is closely related to the social and cultural environment. Therefore, in order to better understand the text, students need to get relevant information with the help of mediations such as textbooks and the Internet, which facilitates a positive interaction with the social and cultural environment. As an important mediator, the teacher introduces the important background information, guides the students to master the language and stylistic characteristics of the articles, and gives timely feedback to the students’ reflections or reports. In this process, teachers’ requirements are rules, according to which students complete their tasks to deepen their understanding of the articles and gradually improve their reading ability.
In the stage of the output-based tasks, the types of tasks are different. The task is mainly carried out in the form of group work. The objects include preparing a presentation based on students’ understanding of the paragraph or article and reporting their group discussion and reflections. Group members form a community to achieve the goals according to the teacher's rules and some division of labour. While doing the tasks, students need help from some mediation tools, such as DingTalk, QQ or the teacher's help.
In the after-class reading stage, students can freely choose the English journals or newspapers they are interested in reading. During this stage, students will actively analyse and examine what they have learned in class to form their own learning model, and constantly check and improve it in future reading practice.
In this semester, the data the author collected include the students’ summaries in each unit, group discussion report, reflections, reading reports and so on. The author has read 30% of each kind carefully and classified them according to their content themes. In order to facilitate the data management and analysis, e-folders are established. Due to the limited space, this paper will use reflections, reading reports and group discussion reports as the main data to find out the influence of classroom tasks on the development of students’ reading ability, and other data will be used to assist in confirming the main data. After sorting and analysing the data, the initial data are classified and coded according to two themes: course evaluation and learning gains, as shown in Figure 2.
Fig. 2
Data analysis and coding.

It is found that students’ reading ability, as well as their oral and writing skills, have been greatly improved after systematic training for a semester.
A series of tasks are designed based on the textbook in the teaching process of each unit. These tasks are relevant and progressive, proceeding in sophistication from simple to complex. The object is to enable students to deeply understand the characteristics and content of English journals and newspapers by completing one task after another. As the subject of the class, students have a high degree of acceptance for such teaching design and most of them can complete the task actively. For example, the following descriptions offer an understanding of what students wrote in their reflections after learning Unit 4:
I have been learning this course for more than 2 months, and I’m feeling a very different reading class. In the past, the teacher usually analysed the article and then asked us to do the exercises, which were all multiple-choice questions. However, in this class, a series of tasks have been designed for us in each unit in advance, and the requirements were very clear for each step. Completing these tasks was just like fighting against monsters, giving us a sense of achievement. Of course, we also met difficulties, but the teacher would help us in time. In class, the teacher gives us enough time for group discussion, and everyone participates in the discussion and makes his own contribution to the group work. Finally, I’m not listening passively as before, but taking the initiative to participate and improve myself. (Student 1).
After feeling their dominant role, students made better preparations for each task. The emphasis on the formative evaluation can urge students to pay attention to their daily accumulation in reading and take each task seriously. Community members participate in group activities according to certain rules, during which they can also provide peer support for each other in the group interaction.
The teacher told us the assessment of this course in the first class. The proportion of daily work is very high. If we don’t finish each task carefully, we might fail. It is true that reading requires everyday effort, so I usually prepare a lot so that I can have something to say in the group discussion. We’ve got a lot of group work in this semester. At first, I think it's a waste of time to discuss with others. But twice participation I found each person had different mastery and preparation. Communication with each other can solve a lot of doubts in our minds. It's a wonderful experience. After a period of running in, we’re having a more harmonious relationship and enjoying such a good learning atmosphere. (Student 2).
I was deeply impressed by the first class of this semester. The teacher shared her experience of reading foreign magazines. I could feel her sincerity, which also made me feel closer to the teacher and more confident about reading foreign magazines and newspapers. As a group leader, I need to organise the group discussion and assign tasks to each member. I’m trying my best to help my partners when they encounter problems, and they can also help me a lot, but there are still some problems that cannot be solved. At this time, we often ask the teacher for help. She is just like our friend and always very kind to give us many inspirations. I can learn a lot from her. (Student 3).
It can be seen that the attitude of Student 2 towards group work changed with the passage of time, and he began to feel the various gains brought by the new learning mode. A harmonious relationship between teachers and students, in conjunction with maintaining a participative atmosphere in the classroom, is one of the important affective factors in foreign language teaching [12]. As an important mediation in foreign language teaching, the teacher should not only be responsible for designing classroom activities and evaluating teaching effects but should also be a scaffold to promote the further development of students’ learning ability.
After training, students have mastered the basic methods of analysing English journals and newspapers. They have known how to improve their reading ability by reading foreign journals.
In the past, I thought I could understand an article as long as I looked up the new words in the dictionary. After learning this course, I found that besides looking up the words, it's also important to know about the social background of the article. The invisible information will be in the way to understand the article. I just learned the article ‘Paris, Los Angeles Confirmed as Olympic Hosts’. When I first read it, I didn’t understand why Hamburg, Rome and Budapest would drop out of bidding for the Olympic Games. After knowing about the history of Olympic bidding, I’m clear that the Games may be a cash cow for some countries, but they can also be a drain on the economy. It became much easier to understand the whole passage. (Student 4).
English journals and newspapers are like a mirror, reflecting all aspects of the world under the social and cultural background. Understanding the background information ensures a positive interaction between learners and the social and cultural environment. It is also a necessary step to achieve the object while learning to read.
In addition, after a semester, students have known about the basic stylistic features of journals and newspapers and the structural features of the discourse:
I gained a lot from this course. I learned that newspaper articles have their own unique stylistic features, such as omissions in titles, novel words used to attract readers, compact and concise sentence patterns and paragraph structures, as well as various figures of speech and idioms that make me confused. Although there is still a long way to go before I can easily understand English newspapers, I’ve got the basic methods and know what to do in the future. (Student 5).
Besides stylistic features, vocabulary and discourse structure, it is also an important goal to cultivate students’ ability in critical thinking. In the text
Our academic performance is falling behind that of western countries.
The hardware facilities of domestic universities are not as good as those of foreign universities.
We’re still a developing country with a huge population. We don’t have so much money for the research expenditure. It should in some way influence the development of our universities.
Your ideas are excellent! Do you know what the ranking is based on?
The number of patents and citations; and the creativity.
Yes! But only the patents and papers published in English can be seen in the ranking.
I know. Maybe the ranking is not so objective. The language of the academic world is dominated by English, but our universities do not use English as the language for teaching and research; so, they are not competitive when competing with western countries.
......
Through brainstorming in the community, this group analysed the questions from various aspects, such as hardware conditions, the current situation of China's population and economy and so on. Due to the mediation of the teacher, they realised a new aspect with which to analyse the question critically. Finally, this group summarised more constructive suggestions to enhance the competitiveness of China's universities, such as further development of national competitiveness, increasing investment in scientific research, training teachers and students’ consciousness and interest in English academic writing.
In terms of the benefits, many students mentioned their surprise from the reflections.
We are asked to write reflections after each unit in this semester. At first, I was not willing to write it, because I thought it was a waste of time. I didn’t know why I had to do that. But when I really did it, I found that I need to recall every step of the learning process carefully to sum up the experience and discover the problem. In order to write something in my reflection, I took notes carefully while doing each task, which also made me more focused. After a semester, the reflections really helped me make a lot of progress. Meanwhile, I had a dialogue with myself, and I also knew how to learn in the future. (Student 4).
This course mainly focuses on the input-based task, but the students’ speaking and writing ability have also been greatly improved with the completion of each task.
While preparing the presentation, I must try to understand the article, and I’m also pushed to speak out fluently, which is a big challenge for me. After practicing over and over again, I gradually dare to speak out and became more confident. It was a surprise. In addition, the classroom learning and extracurricular reading practice have enabled me to have a clear understanding of the text layout and sentence structure of articles in foreign journals. It is much easier for me to write a summary, and the mistakes I often made in writing before are much less now. (Student 7).
In short, students, together with other community members, can complete the tasks the teacher designed actively with the help of all kinds of mediations, which has deepened their understanding of vocabulary, sentence and discourse of English journals and newspapers, made them form into good reading habits, and greatly improved their reading ability.
This study analysed the author's teaching of task-based English journal and newspaper reading, from the perspective of AT. Different kinds of data, such as group discussion report, reflections, reading reports and so on, are collected, classified and coded in a qualitative approach. The results show that tasks should be designed to highlight students’ dominant position, and teachers should pay equal attention to input-based tasks and output-based tasks. Students need different mediations such as teachers, textbooks and Internet resources to get help and complete the tasks with other community members in accordance with certain divisions of labour under the premise of rules. At the same time, teachers should strive to establish a harmonious relationship with students, choose reading materials with moderate difficulty, and give timely feedback to students’ inquiries and tasks, so as to encourage students to improve themselves through mediating regulation. In addition, teachers should pay more attention to formative evaluation; this would in turn encourage students to pay attention to the daily accumulation and finish each task seriously. In short, scientific and reasonable task design, coupled with the timely adjustment of various mediations, can enable students to master the basic methods of reading English journals and newspapers and can also improve their speaking and writing abilities.
Fig. 1

Fig. 2

Law of interest rate changes in financial markets based on the differential equation model of liquidity Basalt fibre continuous reinforcement composite pavement reinforcement design based on finite element model Industrial transfer and regional economy coordination based on multiple regression model Response model for the psychological education of college students based on non-linear finite element equations Satisfactory consistency judgement and inconsistency adjustment of linguistic judgement matrix Analysis of the relationship between industrial agglomeration and regional economic growth based on the multi-objective optimisation model Constraint effect of enterprise productivity based on constrained form variational computing The impact of urban expansion in Beijing and Metropolitan Area urban heat Island from 1999 to 2019 Ultrasonic wave promoting ice melt in ice storage tank based on polynomial fitting calculation model Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations Badminton players’ trajectory under numerical calculation method Innovations to Attribute Reduction of Covering Decision System Based on Conditional Information Entropy Nonlinear Differential Equations in the Teaching Model of Educational Informatisation The evaluation of college students’ innovation and entrepreneurship ability based on nonlinear model Smart Communities to Reduce Earthquake Damage: A Case Study in Xinheyuan, China Institutional investor company social responsibility report and company performance Mathematical analysis of China's birth rate and research on the urgency of deepening the reform of art education First-principles calculations of magnetic and mechanical properties of Fe-based nanocrystalline alloy Fe80Si10Nb6B2Cu2 Has the belt and road initiative boosted the resident consumption in cities along the domestic route? – evidence from credit card consumption Attitude control for the rigid spacecraft with the improved extended state observer Cognitive Computational Model Using Machine Learning Algorithm in Artificial Intelligence Environment Research on tourism income index based on ordinary differential mathematical equation Application of Higher-Order Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Sports Science Teaching of Athletics Based on Nonlinear Mathematical Equation Informatisation of educational reform based on fractional differential equations Research on the control of quantitative economic management variables under the numerical method based on stochastic ordinary differential equations Network monitoring and processing accuracy of big data acquisition based on mathematical model of fractional differential equation System dynamics model of output of ball mill Sensitivity Analysis of the Waterproof Performance of Elastic Rubber Gasket in Shield Tunnel Design of Morlet wavelet neural network to solve the non-linear influenza disease system Motion about equilibrium points in the Jupiter-Europa system with oblateness Badminton players’ trajectory under numerical calculation method Optimal preview repetitive control for impulse-free continuous-time descriptor systems Development of main functional modules for MVB and its application in rail transit Study on the impact of forest fire prevention policy on the health of forest resources Value Creation of Real Estate Company Spin-off Property Service Company Listing Selection by differential mortality rates Digital model creation and image meticulous processing based on variational partial differential equation The modelling and implementation of the virtual 3D animation scene based on the geometric centre-of-mass algorithm The policy efficiency evaluation of the Beijing–Tianjin–Hebei regional government guidance fund based on the entropy method The transfer of stylised artistic images in eye movement experiments based on fuzzy differential equations Research on behavioural differences in the processing of tenant listing information: An eye-movement experiment A review of the treatment techniques of VOC Some classes of complete permutation polynomials in the form of ( x p m −x +δ )s +ax p m +bx overF p 2m Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method The consistency method of linguistic information and other four preference information in group decision-making Research on the willingness of Forest Land’s Management Rights transfer under the Beijing Forestry Development A mathematical model of the fractional differential method for structural design dynamics simulation of lower limb force movement step structure based on Sanda movement Fractal structure of magnetic island in tokamak plasma Numerical calculation and study of differential equations of muscle movement velocity based on martial articulation body ligament tension Study on the maximum value of flight distance based on the fractional differential equation for calculating the best path of shot put Sports intensity and energy consumption based on fractional linear regression equation Translog function in government development of low-carbon economy Analysis of the properties of matrix rank and the relationship between matrix rank and matrix operations Research on the Psychological Distribution Delay of Artificial Neural Network Based on the Analysis of Differential Equation by Inequality Expansion and Contraction Method Study on Establishment and Improvement Strategy of Aviation Equipment Research on Financial Risk Early Warning of Listed Companies Based on Stochastic Effect Mode Constructing Artistic Surface Modeling Design Based on Nonlinear Over-limit Interpolation Equation Numerical Simulation Analysis Mathematics of Fluid Mechanics for Semiconductor Circuit Breaker Characteristics of Mathematical Statistics Model of Student Emotion in College Physical Education Human Body Movement Coupling Model in Physical Education Class in the Educational Mathematical Equation of Reasonable Exercise Course The contribution of structural equation model analysis to higher education agglomeration and innovation and entrepreneurship Study on the evolutionary game theory of the psychological choice for online purchase of fresh produce under replicator dynamics formula The influence of X fuzzy mathematics method in basketball tactics scoring Mathematical statistics algorithm in the bending performance test of corroded reinforced concrete beams under fatigue load Nonlinear strategic human resource management based on organisational mathematical model Back propagation mathematical model for stock price prediction Evolutionary game research on the psychological choice of online shopping of fresh agricultural products based on dynamic simulation model Differential equation model of financial market stability based on big data Multi-attribute decision-making methods based on normal random variables in supply chain risk management Linear fractional differential equations in bank resource allocation and financial risk management model Construction and reform of art design teaching mode under the background of the integration of non-linear equations and the internet Spatial–temporal graph neural network based on node attention A contrastive study on the production of double vowels in Mandarin Financial accounting measurement model based on numerical analysis of rigid normal differential equation and rigid generalised functional equation Research of cascade averaging control in hydraulic equilibrium regulation of heating pipe network Mathematical analysis of civil litigation and empirical research of corporate governance Health monitoring of Bridges based on multifractal theory College students’ innovation and entrepreneurship ability based on nonlinear model Health status diagnosis of the bridges based on multi-fractal de-trend fluctuation analysis Mathematical simulation analysis of optimal testing of shot puter's throwing path Performance evaluation of college laboratories based on fusion of decision tree and BP neural network Application and risk assessment of the energy performance contracting model in energy conservation of public buildings The term structure of economic management rate under the parameter analysis of the estimation model based on common differential equation Sensitivity analysis of design parameters of envelope enclosure performance in the dry-hot and dry-cold areas The Spatial Form of Digital Nonlinear Landscape Architecture Design Based on Computer Big Data The improvement of museum information flow based on paste functional mapping method The art design of industrialised manufacturing furniture products based on the simulation of mathematical curves TOPSIS missile target selection method supported by the posterior probability of target recognition The incentive contract of subject librarians in university library under the non-linear task importance Modelling and Simulation of Collaborative Innovation System in Colleges and Universities Based on Interpreted Structural Equation Model Small amplitude periodic solution of Hopf Bifurcation Theorem for fractional differential equations of balance point in group competitive martial arts The Optimal Solution of Feature Decomposition Based on the Mathematical Model of Nonlinear Landscape Garden Features Composite mechanical performance of prefabricated concrete based on hysteresis curve equation Higher education innovation and reform model based on hierarchical probit Application of Fuzzy Mathematics Calculation in Quantitative Evaluation of Students’ Performance of Basketball Jump Shot The teaching of sports science of track and field-based on nonlinear mathematical equations Visual error correction of continuous aerobics action images based on graph difference function Ecological balance model of effective utilization of agricultural water resources based on fractional differential equations Application of Higher Order Ordinary Differential Equation Model in Financial Investment Stock Price Forecast Precision algorithms in second-order fractional differential equations Application of Forced Modulation Function Mathematical Model in the Characteristic Research of Reflective Intensity Fibre Sensors Fractional differential equations in National Sports Training in Colleges and Universities Radioactive source search problem and optimisation model based on meta-heuristic algorithm Application of mathematical probabilistic statistical model of base – FFCA financial data processing Research on a method of completeness index based on complex model Distribution network monitoring and management system based on intelligent recognition and judgement Fake online review recognition algorithm and optimisation research based on deep learning Research on the sustainable development and renewal of Macao inner harbour under the background of digitisation Support design of main retracement passage in fully mechanised coal mining face based on numerical simulation Study on the crushing mechanism and parameters of the two-flow crusher Topological optimisation technology of gravity dam section structure based on ANSYS partial differential equation operation Interaction design of financial insurance products under the Era of AIoT Modeling the pathway of breast cancer in the Middle East Corporate social responsibility fulfilment, product-market competition and debt risk: Evidence from China ARMA analysis of the green innovation technology of core enterprises under the ecosystem – Time series data Reconstruction of multimodal aesthetic critical discourse analysis framework Image design and interaction technology based on Fourier inverse transform What does students’ experience of e-portfolios suggest Research on China interregional industrial transformation slowdown and influencing factors of industrial transformation based on numerical simulation The medical health venture capital network community structure, information dissemination and the cognitive proximity The optimal model of employment and entrepreneurship models in colleges and universities based on probability theory and statistics A generative design method of building layout generated by path Analysis of the causes of the influence of the industrial economy on the social economy based on multiple linear regression equation Research of neural network for weld penetration control Engineering project management based on multiple regression equation and building information modelling technology Research on predictive control of students’ performance in PE classes based on the mathematical model of multiple linear regression equation Beam control method for multi-array antennas based on improved genetic algorithm The influence of X fuzzy mathematical method on basketball tactics scoring Mathematical model of back propagation for stock price forecasting Application of regression function model based on panel data in bank resource allocation financial risk management Application of Logical Regression Function Model in Credit Business of Commercial Banks Research on aerobics training posture motion capture based on mathematical similarity matching statistical analysis Application of Sobolev-Volterra projection and finite element numerical analysis of integral differential equations in modern art design Research on motion capture of dance training pose based on statistical analysis of mathematical similarity matching Application of data mining in basketball statistics Application of B-theory for numerical method of functional differential equations in the analysis of fair value in financial accounting Research on the influence of fuzzy mathematics simulation model in the development of Wushu market Study on audio-visual family restoration of children with mental disorders based on the mathematical model of fuzzy comprehensive evaluation of differential equation Difference-in-differences test for micro effect of technological finance cooperation pilot in China Application of multi-attribute decision-making methods based on normal random variables in supply chain risk management Exploration on the collaborative relationship between government, industry, and university from the perspective of collaborative innovation The impact of financial repression on manufacturing upgrade based on fractional Fourier transform and probability AtanK-A New SVM Kernel for Classification Validity and reliability analysis of the Chinese version of planned happenstance career inventory based on mathematical statistics Visual positioning system for marine industrial robot assembly based on complex variable function Mechanical behaviour of continuous girder bridge with corrugated steel webs constructed by RW Application of Lane-Emden differential equation numerical method in fair value analysis of financial accounting Regression function model in risk management of bank resource allocation Application of numerical method of functional differential equations in fair value of financial accounting Optimal solution of fractional differential equations in solving the relief of college students’ mental obstacles Risk contagion in financial markets based on copula model Calculating university education model based on finite element fractional differential equations and macro-control analysis Educational research on mathematics differential equation to simulate the model of children's mental health prevention and control system Analysis of enterprise management technology and innovation based on multilinear regression model Verifying the validity of the whole person model of mental health education activities in colleges based on differential equation RETRACTION NOTE Calculation of tourism development income index based on finite element ordinary differential mathematical equation Adoption of deep learning Markov model combined with copula function in portfolio risk measurement Radar system simulation and non-Gaussian mathematical model under virtual reality technology Comparison of compression estimations under the penalty functions of different violent crimes on campus through deep learning and linear spatial autoregressive models Research and application of constructing football training linear programming based on multiple linear regression equation Research on management evaluation of enterprise sales cash flow percentage method based on the application of quadratic linear regression equations Mathematical simulation analysis of optimal detection of shot-putters’ best path Determination of the minimum distance between vibration source and fibre under existing optical vibration signals: a study Mathematical modelling of enterprise financial risk assessment based on risk conduction model Nonlinear differential equations based on the B-S-M model in the pricing of derivatives in financial markets Mathematical simulation experiment based on optimisation of heat treatment process of aluminium alloy materials Mathematical model of transforming image elements to structured data based on BP neural network Educational reform informatisation based on fractional differential equation MCM of Student’s Physical Health Based on Mathematical Cone Sports health quantification method and system implementation based on multiple thermal physiology simulation Research on visual optimization design of machine–machine interface for mechanical industrial equipment based on nonlinear partial equations Informationisation of teaching model for track and field education based on finite element higher-order fractional differential equation Research on identifying psychological health problems of college students by logistic regression model based on data mining Information technology of preschool education reform of fine arts based on fractional differential equation Information Teaching Model of Preschool Art Education in Colleges and Universities Based on Finite Element Higher-Order Fractional Differential Equation A mathematical model of PCNN for image fusion with non-sampled contourlet transform Application of artificial intelligence algorithm in mathematical modelling and solving College Students’ Mental Health Climbing Consumption Model Based on Nonlinear Differential Equations Differential equation to verify the validity of the model of the whole-person mental health education activity in Universities Optimisation of Modelling of Finite Element Differential Equations with Modern Art Design Theory Analysis and Prediction of College Students’ Mental Health Based on K-means Clustering Algorithm Mathematical function data model analysis and synthesis system based on short-term human movement Human gait modelling and tracking based on motion functionalisation Analysis and synthesis of function data of human movement Energy-saving technology of BIM green buildings using fractional differential equation Study on the training model of football movement trajectory drop point based on fractional differential equation Financial Accounting Measurement Model Based on Numerical Analysis of Rigid Normal Differential Equation and Rigid Functional Equation User online consumption behaviour based on fractional differential equation Differential equation model of financial market stability based on Internet big data Multi-attribute Decision Method Based on Normal Random Variable in Economic Management Risk Control Children’s cognitive function and mental health based on finite element nonlinear mathematical model Dichotomy model based on the finite element differential equation in the educational informatisation teaching reform model Nonlinear Dissipative System Mathematical Equations in the Multi-regression Model of Information-based Teaching Stock price analysis based on the research of multiple linear regression macroeconomic variables Fractional Linear Regression Equation in Agricultural Disaster Assessment Model Based on Geographic Information System Analysis Technology