Theory Course Research Articles

Lesson Study in an Inclusive Mathematics Classroom using Multicommunications Media: A Ring Theory Course

Lesson Study in an Inclusive Mathematics Classroom using Multicommunications Media: A Ring Theory Course

Comparison of Learning Results for Solving Mathematical Problems in Hybrid Mode (With and Without a Computer)

In the context of blended learning, it becomes relevant to search for the optimal ratio of theoretical and practical training using computer simulations and manual calculations. The author gives the results of the corresponding analysis on the example of studying the academic course of probability theory and mathematical statistics. The target audience for this article are university teachers and moderators of online courses, although high school teachers and graduates of pedagogical universities may also be interested in reading due to the appearance of elements of probability theory and mathematical statistics in the school mathematics course.

Proof methods in random matrix theory

In this survey article, we give an introduction to two methods of proof in random matrix theory: The method of moments and the Stieltjes transform method. We thoroughly develop these methods and apply them to show both the semicircle law and the Marchenko-Pastur law for random matrices with independent entries. The material is presented in a pedagogical manner and is suitable for anyone who has followed a course in measure-theoretic probability theory.

УНИВЕРСАЛЬНЫЙ СТАТИСТИЧЕСКИЙ АНАЛИЗ РАСПРЕДЕЛЕНИЙ, ЗАВИСЯЩИХ ОТ ПАРАМЕТРА

The development of the digital economy, the creation of intelligent and neural systems put forward the problem of finding adequate mathematical tools and improving the technological content of probabilistic and statistical methods that serve as the basis for their development. The aim of the study is to improve methods and create new universal algorithms for constructing statistical estimates together with their properties for special classes of distributions. The unification of methods significantly optimizes costs and saves time for obtaining the properties of estimates. The main attention is paid to the presentation of universal algorithms for statistical estimation of parameters of certain classes of distributions and the properties of these estimates, as well as algorithms for constructing confidence intervals and parametric criteria for hypothesis testing. The normal distribution is usually used to estimate the spread of the forecast. But it is not characteristic of all indicators. Therefore, the analysis of distributions of other types is very relevant. The scientific value of the article consists in the creation of universal algorithms for constructing statistical estimates together with their properties for special classes of distributions. The developed tools allow combining the necessary professional competencies of the course students with the basic theoretical knowledge from the basic course of probability theory and mathematical statistics with effective statistical estimation algorithms for practical application in a certain economic field. The acquired knowledge makes it possible to perform various professional tasks based on probabilistic and statistical estimates in various formulations of initial tasks, competently explain the results and conclusions obtained; work with experimental representations using the latest digital and computer technologies. The application of the developed concept leads to the practical implementation of the tasks of finding the optimal solution for various problem statements related to the problems of creating neural and intelligent systems with active elements and having significant initial uncertainty.

数学专业基础课图论的课程思政案例教学探索与实践

数学专业基础课图论的课程思政案例教学探索与实践

An Initial Exploration of "Knowledge" and Student "Life" in the Course of Ideological and Political Theory

An Initial Exploration of "Knowledge" and Student "Life" in the Course of Ideological and Political Theory

Exploration and Practice of Ideological and Political Education Construction in the Course of Practical Instrument Analysis Theory

Exploration and Practice of Ideological and Political Education Construction in the Course of Practical Instrument Analysis Theory

An Exploration of Moral Education and Rule of Law Education in the Course of Ideological and Political Theory

An Exploration of Moral Education and Rule of Law Education in the Course of Ideological and Political Theory

Snowball throwing based on lesson study to improve college student's algebraic reasoning in solving problems generating functions

This study aims to describe the improvement of students' algebraic reasoning in solving generating function problems based on implementing the lesson study-based snowball throwing learning model. The subjects in this study were students of the odd semester STKIP PGRI Sumenep mathematics education study program who had passed courses in mathematical logic and number theory. This research is a type of classroom action research with a qualitative approach. Lesson study and CAR have many similarities in terms of the stages, namely planning (plan), implementation & observation (do), and reflection (see). The instruments in this study were problem-solving task sheets and lesson study observation sheets. Data were analyzed using quantitative descriptive analysis by describing the percentage of quantitative data obtained. On the indicator looking for patterns, there was an increase of 50%, on the indicator finding patterns there was an increase of 43.75%, while on the generalization indicator there was an increase of 45%. This shows that implementing the lesson study-based snowball throwing learning model can improve students' algebraic reasoning in solving generating function problems.

FEATURES OF THE CREATION AND USE OF A BILINGUAL BOOK IN THE EDUCATIONAL PROCESS. EXPERIENCE OF TRADITIONAL CLASSES AND INNOVATIVE ELU COURSE

The “learn by translating” method of teaching translation skills is not new, but this does not make it any less productive. Translation teachers know that the disciplines included in the standard translation theory course are very difficult for students to understand, so some of them try to make the learning process more creative. Earlier, our Literary and Translation School-Studio prepared and published a bilingual (Estonian-Russian) children's book “Loe veel! - Read more!” and a two-volume book "Estonian Writer of the Sixties", which included translations of poetic, prose and dramaturgical works of representatives of the "cassette generation" of Estonian literature. It has long been necessary to publish a book of fairy tales of the peoples of Estonia in the Estonian (state) and Russian (still the most common language of interethnic communication in the post-Soviet space) languages. And this was made possible thanks to the addition of innovative and interdisciplinary ELU courses to the schedule of Tallinn University. The aim of the project was to create a book that would introduce children and their parents to the fairy tales of many peoples living in Estonia. This was also the reason for the objectives of the project: to find out how many and which national cultural societies are registered in Estonia; select one fairy tale of each of the peoples; prepress and release the collection. The relevance of the project lies in the fact that a wider audience - students of various specialties - was involved in work that they had not previously been offered to do, respectively, the existing hopes for obtaining a new quality of study were justified.

A Study of Ungrading in Upper-level Political Theory Courses

This paper presents results from qualitative student reflections from three upper-level courses taught using the “ungrading” pedagogy. This is a pedagogy that emphasizes student learning and self-evaluation by omitting quantitative grades, replacing them with a structure where students evaluate themselves and define their own grades for the course. This work draws on comments taken from student reflections and personal accounts of the course design and outcomes presented as a comprehensive reflection on the pedagogy. The goal of these reflections is to present the advantages and challenges of using such a system and a firsthand account for instructors who are interested in alternative grading schemes. Overall, students found ungrading to be initially worrying, but ultimately rewarding. Student work improved and individual students reflected on the innovative nature of the class, providing concrete suggestions for future iterations.

미용전공선택 결정요인에 의한 전공만족도 및 취업자신감 관련성 고찰

For beauty-related academic courses, it is required to build a thorough field training system and develop teaching methods and beauty education textbooks. For this, a questionnaire survey was performed against undergraduates from 4-year colleges in Daejeon, interns and those working in the beauty industry. Then, factors affecting the selection of academic major, satisfaction with their academic major and employment confidence were analyzed, and the results found the followings: The students who have chosen a beauty-related major because of recommendations by others have found it more difficult to adapt themselves to their academic courses including theory courses than those who have selected their academic major based on their own interests. This tendency was also found in satisfaction with academic courses. Since definite effects were found in terms of a necessity of improvement for employment and reliability of workplaces, there should be policy considerations for students who choose their academic major based on recommendations by others. In fact, a statistically significant difference was found in terms of the level of confidence after employment between the students who choose a beauty-related major based on their own interests and those who select because of recommendations by others.
 The goal of this study is to make a contribution to the growth of beauty industry workers through analysis of diverse correlations among academic course and employment-related decision factors.

Evaluation of Mathematical Competencies among Electrical Engineering Students

In universities, engineering students are often seen as a group of students with high level of intelligence. The engineering programme seeks applications from students with a strong command in Mathematics and Science. Therefore, it is believed that Mathematical Competencies (MC) are the element that plays a vital role in engineering education since there are plenty of applications of mathematical knowledge in engineering courses. This paper discusses mathematical competencies further, with emphasis on those demonstrated by the engineering students. MC consist of eight components: Thinking mathematically, posing and solving a mathematical problem, modelling mathematically, reasoning mathematically, representing mathematically, handling mathematical symbols and formalisms, communicating in, with, and about mathematics and using aids and tools. Unfortunately, many engineering students did not meet the required level as they did not perform well in the engineering course, whereby in this study, the focus was on the Electromagnetic Field Theory (EMT) course. EMT was chosen because the course contains high mathematical component. A qualitative method of ethnographic research design was selected as a mean to collect data, which was then analysed using thematic analysis. A set of EMT questions was developed for 17 participants from an electrical engineering programme. From the written work, it can be said that the participants demonstrated their MC based on their answers. It can be concluded that most of the participants with higher marks were able to demonstrate almost all of the MC components.

Examining the impact perceptual learning artificial-intelligence-based on the incidence of paresthesia when performing the ultrasound-guided popliteal sciatic block: simulation-based randomized study

ObjectiveTo explore the impact of artificial-intelligence perceptual learning when performing the ultrasound-guided popliteal sciatic block.MethodsThis simulation-based randomized study enrolled residents who underwent ultrasound-guided sciatic nerve block training at the Department of Anesthesiology of Beijing Jishuitan Hospital between January 2022 and February 2022. Residents were randomly divided into a traditional teaching group and an AI teaching group. All residents attended the same nerve block theory courses, while those in the AI teaching group participated in training course using an AI-assisted nerve identification system based on a convolutional neural network instead of traditional training.ResultsA total of 40 residents were included. The complication rates of paresthesia during puncture in the first month of clinical sciatic nerve block practice after training were significantly lower in the AI teaching group than in the traditional teaching group [11 (4.12%) vs. 36 (14.06%), P = 0.000093]. The rates of paresthesia/pain during injection were significantly lower in the AI teaching group than in the traditional teaching group [6 (2.25%) vs. 17 (6.64%), P = 0.025]. The Assessment Checklist for Ultrasound-Guided Regional Anesthesia (32 ± 3.8 vs. 29.4 ± 3.9, P = 0.001) and nerve block self-rating scores (7.53 ± 1.62 vs. 6.49 ± 1.85, P < 0.001) were significantly higher in the AI teaching group than in the traditional teaching group. There were no significant differences in the remaining indicators.ConclusionThe inclusion of an AI-assisted nerve identification system based on convolutional neural network as part of the training program for ultrasound-guided sciatic nerve block via the popliteal approach may reduce the incidence of nerve paresthesia and this might be related to improved perceptual learning.Clinical trialCHiCTR2200055115, registered on 1/ January /2022.

Enhancement of Mathematical Conceptual Understanding in a Cloud Learning Environment for Undergraduate Students

Mathematical conceptual understanding is fundamental ability that students should have for learning practice in mathematics. This study presents a learning approach based on a mathematical understanding development strategy in the cloud learning environment to enhance undergraduate students’ comprehension of mathematical concepts. A quasi-experimental design with a pre-test and post-test control group was deployed in this study. The 56 undergraduate students, enrolled in the Number Theory Course, were involved in this study. The 28 students in the experimental group were taught using a mathematical understanding development strategy in a cloud learning environment and the 28 students in the control group were taught using a conventional approach. The research instruments were an instructional plan, and a mathematical conceptual understanding test. Data were analyzed by mean, standard deviation, and t-test. The results found that the mean score of mathematical conceptual understanding of students in the experimental group was higher than the 60 percent criterion. There were statistically significant differences between the mean scores of the students in the experimental and the control groups in their mathematical conceptual understanding in the post-test in favor of the experimental group at a significance level of .05.The results of this study inform the positive impact of learning approach based on a mathematical understanding development strategy in a cloud learning environment for undergraduate students.

Students' perspective on offline and online learning in the Pencak Silat course

This study aims to examine the perspectives of students from the 2019 Health Physical Education and Recreation (PJKR) Program Study of the Faculty of Sport Science in State University of Malang regarding lectures using offline and online systems in the motion theory course and the martial arts practice course. The study used a quantitative descriptive survey design. The population of this study amounted to 227 students of the year 2019 PJKR Study Program. The sample of this study was 94 students and the analysis technique used was quantitative descriptive statistics. The results showed that student responses in offline lectures for theory courses were mostly positive as much as 94%, 79% positively agree with offline lectures for practical subjects, 70% respondents agree with online lectures for theory courses, and 89% students positively responded on online lectures for practical courses. Based on the research results obtained, it can be concluded that the response of the class of 2019 students to offline and online system lectures in theory and practice courses can be said to have been good and effective because they are in accordance with good learning principles.

Art-Based Aceh Oral Folkrole Modulize to Revitalize Uswah Hasanah

The uswah hasanah approach exemplifies the learning method as a personality-forming agent. Uswah hasanah is an ever-present form of instruction. Through the resuscitation of Acehnese oral folklore based on art, the purpose of this research was to investigate the design process and efficacy of the module created utilizing the uswah hasanah technique. This research utilizes a research and development methodology. The model employed is the creation of a four-dimensional model. The 4-D development model (Four D) is a development paradigm for learning devices. The 4D development paradigm has four major phases: Define, Design, Develop, and Disseminate. The study of the module validation findings by the Indonesian Language Lecturer revealed a mean score of 3.92, placing it in the extremely valid category (3.5 V 4). On the basis of these results, it can be stated that the module designed by the researcher is suitable for field testing on a limited scale. The success of the module employing the Uswah Hasanah Method via the Revitalization of Aceh Oral Folklore Based on Art will be determined by conducting a restricted test on students of the Indonesian Language Education Department in Semester I of the Literary Theory Course.

A Study on the Triple Logic of Integrating the Ritual Culture into Theoretical Courses of Design

Being a core element of Chinese traditional culture, an important cultural gene of the Chinese nation, the ritual culture contains rich resources for moral and aesthetic education. In the new era, it is a unity of theoretical logic, historical logic and realistic logic to integrate the ritual culture into the education of design art. By strengthening the integration of teachers, optimizing the integration of content, and integrating the integration of resources, ritual culture can be better integrated into the course of design theory.

Development of Teaching Materials of Demand, Supply and Balance Based on Digital Comic in Micro Economic Theory Course of Economic Education State University of Medan

In general, this study aims to determine the level of feasibility and effectiveness of digital comic-based Demand, Supply and Balance teaching materials with material in microeconomic theory courses that can improve student learning outcomes. This study uses research and development (R&amp;D) methods using the ADDIE model. This research was conducted on fourth semester students who took microeconomic theory courses in the economic education study program in the 2021/2022 academic year. For a small trial sample, 10 students were taken by random sampling. The developed teaching materials received a good assessment from the experts with an average feasibility score of 89.3 in the very feasible category. In the practical test, students also gave a positive response with an overall average score of 89, 3 in the category of very practical. In the effectiveness test, students also gave a positive response with an overall average score of 26.89 in the category of very effective.

Comparative Study of Student Learning Outcomes in Online and Offline Learning during the Pandemic

Learning is carried out offline starting April 2022 after the COVID-19 pandemic began to subside and the statistics on COVID-19 cases in the city of Surabaya showed a low risk status. Learning that was originally done online was changed back to being done offline. Therefore, this study aims to identify differences in student learning outcomes in online and offline learning. This research is a quasi-experimental research with comparative method and quantitative approach. Research data was collected on macroeconomic theory courses in the even semester of the 2020/2021 academic year for online learning and the 2021/2022 school year for offline learning. The study population was 18 students who were randomly selected from the economic education study program in 2020 and 2021. Processing and analysis of research data used an independent sample T-test. Based on the results of the independent sample t-test, the Sig (two-sided) value is 0.356 &gt; 0.05. These results indicate that there is no significant difference in the average student learning outcomes between online and offline learning. Students' online learning has an average learning outcome of 85.8889, higher than offline learning of 81.3333. Therefore, learning activities are more flexible during the pandemic and can be done online or offline.