scholarly journals Development of a personalized model of teaching mathematics by means of interactive novels to improve the quality of pupils' educational results

2021 ◽  
Vol 53 (5) ◽  
pp. 306-322
Author(s):  
Mikhail I. Bocharov ◽  
◽  
Tatiana N. Mozharova ◽  
Elena V. Soboleva ◽  
Tatyana N. Suvorova ◽  
...  

The problem and the aim of the study. The implementation of educational programs in different subjects of modern school, including mathematics, is based on the principles of personalized learning, the active use of digital technologies and means of interactive interaction to ensure a high level of mathematical education. The purpose of the article is to investigate the features of the development of a personalized model of teaching mathematics by means of interactive novels to improve the quality of educational results. Research methods. The theoretical analysis and generalization of scientific literature on the problems of improvement of the quality of mathematical education, of the personalization of education by digital technologies, of the didactic role of the visual interactive literature as a kind of computer games, are applied. The main methodological principle of the study is determined by the key condition of personalized learning. That is the freedom of students to choose their educational path. The empirical methods were used: observation, analysis of the results of work with AXMA Story Maker application (answer selection, number of attempts to find a solution and of publications read). The study involved 121 7th-grade pupils of school №11, Kirov. In the experiment, the Fisher criterion was used to process the results. Results. The members of the experimental group were involved in the study of mathematical theory, solving of the tasks according to their personalized educational path in the interactive AXMA Story Maker space. Personalization is supported by self-selection of the pupil's response in a non-linear visual novel environment. Statistically significant differences between the experimental and control groups in terms of the level of educational results were revealed (φcrit = 1.64 <φemp = 2.964). In conclusion, the features that should be considered when designing a personalized model of teaching mathematics by means of interactive novels are summarized: correlating the didactic goal and the result of educational research work in a non-linear environment, choosing a plot for a visual short story, considering the text component and the personalized trajectory of cognition etc.

Author(s):  
Olga Granichina ◽  
Olga Sheremetyeva

The article discusses the most significant problems of ensuring the quality of mathematical education of students studying in the direction of Pedagogical Education, profile "Primary Education". The presented results were obtained as a result of the analysis of theoretical studies published in Russian scientific sources, and on the basis of a survey of mathematics teachers and methods of teaching mathematics working in leading pedagogical universities of Russia. As a result of processing the obtained data, the identified problems are ranked by degree of relevance. In the article, the authors proposed possible solutions to the identified problems within the existing regulatory requirements on the basis of their personal experience in teaching mathematical disciplines at a teacher training university, as well as possible risks that arise when they are implemented. The authors present individual examples of the implementation of these ideas in the practice of teaching students at the Herzen State Pedagogical University of Russia.


Author(s):  
S.V. Saryglar ◽  

Statement of the problem. The article deals with the problem of visualization in teaching mathematics using animated drawings. The purpose of the article is to present the analysis of the experimental work on computer animation in the GeoGebra environment as a means of improving mathematical education at school. Research methodology. The methodological foundations of the research include activity-based, informational and visual approaches to teaching mathematics, a synthesis of the author’s work experience in testing computer animation at school. Research results. The results of the experimental work confirmed the expediency of using computer animation in the process of teaching algebra in the 7th grade (educational activity of students increased, as well as interest in research work and quality of mastering mathematical knowledge and skills). Conclusion. The use of computer animation in math lessons at school increases the level of understanding and assimilation of mathematical knowledge by providing clear illustrations of mathematical concepts and statements. The analysis of experimental work using the animation capabilities of computer environments shows an increase in the technological equipment of modern mathematics teachers, which help them achieve higher educational results.


2020 ◽  
Vol 29 (4) ◽  
pp. 85-95
Author(s):  
G. D. Gefan

Among the problems of mathematical education, the article highlights: (1) insufficient attention paid to the fundamental, structure-forming role of mathematics; (2) speculative learning, its isolation from practice. The concept of theoretical-empirical dualism in teaching is formulated as the unity of the abstract-theoretical and experimental-empirical cognitive activity of students. According to the author, a priori and a posteriori mathematical knowledge should be distinguished. A priori knowledge either seems to an individual to be completely obvious, indisputable, or he assimilates it uncritically, “on faith”. A posteriori mathematical knowledge subjectively arises in the process of student’s intense theoretical and practical activity, and is being actively and comprehensively verified experimentally – either using mathematical applications, or through mathematical experiments. The empirical component of teaching mathematics implies a variety of forms and methods of active (including computer) and professionally oriented learning, giving experience in independent formulation of problems, joint search for ways to solve them, interaction and teamwork. Particular attention is paid to the use of mathematical experiments in those frequent cases when it is necessary to replace or supplement complex evidence, illustrate new knowledge, and give research skills. Monte Carlo mathematical experiments are demonstrated, which serve, in particular, as a bright, figurative, and convincing form of reinforcing theoretical knowledge in the field of stochastic branches of mathematics. The research work of students is considered as the highest stage of the students’ theoretical-empirical activity. The article proposes subjects of research activities of students in the process or upon completion of the study of probabilistic and statistical disciplines.


2020 ◽  
Vol 69 (1) ◽  
pp. 404-409
Author(s):  
G.I. Salgarayeva ◽  
◽  
G.E. Asan ◽  

The article is devoted to the application of digital educational technologies in pedagogical research, in particular, the study of the possibilities of modern digital technologies, the description of the feasibility of their application and directions of development and use. The use of digital technologies in research activities is carried out through various forms of elearning. Various information technologies are used in organizing and conducting research using digital educational technologies. The intensive development of digitalization in all spheres of society will raise the organization and quality, of research work in the field of pedagogy to a new level. The use of digital technologies as a means of educational activity is a research and most important task of pedagogical situations. The study of this issue is caused by the need to identify the conditions that most affect the implementation of its target areas.


2021 ◽  
Vol 101 ◽  
pp. 03039
Author(s):  
Liana Sagatelova ◽  
Irina Tarasova ◽  
Nataliya Asanova

This article presents a diagnostic criteria-based methodology for a systematic and complex assessment of the quality of teaching Mathematics in school. This methodology may help assess the prospects of applied approaches to teaching Mathematics as well as monitor it and describe in terms of ensuring the high quality of general education in Mathematics. We used Kolmogorov’s “convolution of qualities” as a basis for developing this methodology for the systematic and complex diagnostics of mathematical education in school. This methodology is used to assess the quality and optimization of complex objects in mechanics, chemical industry, economics, and higher education. The suggested integral assessment (systematic and complex diagnostics) was successfully applied to evaluate the quality of teaching Mathematics in schools of the Volgograd region. We defined three levels of mathematical education quality: discrete (minimal and restricted level), fragmentary (average functional level), and integrated and comprehensive (a rather high level).


PRIMO ASPECTU ◽  
2020 ◽  
pp. 83-92
Author(s):  
Liana SAGATELOVA

The actual need of the design of mathematical education in a general education organization that takes into account socio-economic and pedagogical realities, is substantiates in this article. The concepts “design of mathematical education in a general education organization”, “innovative educational system for teaching mathematics”, “design technology” are defined. The design of mathematical education as an innovative educational system for teaching mathematics in a general education organization has a landmark nature. It is reflected in specific design procedures, which determines the manufacturability of pedagogical design. The technology includes instructions for step-by-step actions and methods for their implementation, forms and methods of activity. The technology of designing mathematical education on an innovative basis is presented in the form of an algorithm (consisting of three interrelated steps and 9 procedures) describing a sequence of actions and methods for their implementation. The design algorithm developed in the framework of the research is an organizational form of development and further effective implementation of the design model of mathematical education on an innovative basis. Designing of mathematics education in a general education organization allows you to balance the individual desires and capabilities of all subjects of education, taking into account the socio-economic context, which improves the quality of mathematical education.


Author(s):  
JANINE FREITAS MOTA ◽  
CELINA A. A. P. ABAR

ResumoEste trabalho é um recorte de uma tese de doutorado em desenvolvimento e tem como temática os processos de ensino e de aprendizagem da Integral Definida em cursos de Matemática e/ou Engenharias. Tem o objetivo de desenvolver uma alternativa pedagógica que contempla as aplicações, o aprimoramento do conhecimento e do significado da Integral Definida, em contextos intramatemáticos e extramatemáticos. Neste texto, de concepção teórica, são abordados aspectos relacionados às dificuldades na aprendizagem do Cálculo Integral. Aspectos teóricos, metodológicos e tecnológicos são apresentados como orientadores da estratégia pedagógica. Como resultado parcial, é apresentada uma proposta de articulação entre a teoria e a prática na perspectiva de melhorias na qualidade do ensino e aprendizagem da Integral Definida. Palavras-Chave: Integral Definida; Tecnologias Digitais no Ensino do Cálculo; Educação Matemática no Ensino Superior.AbstractThis work is a part of a doctoral thesis in development and its theme is the teaching and learning processes of Integral Definite in Mathematics and / or Engineering courses. It has the objective of developing a pedagogical alternative that contemplates the applications, the improvement of the knowledge and the meaning of the Definite Integral, in intra mathematicals and extra mathematicals contexts.  In this text, with theoretical approach, it is shown aspects related to the difficulties in learning the Integral Calculus. Theoretical, methodological and technological aspects are approached as a guide of the pedagogical strategy. Partly as a result, it is presented a purpose of articulation between theory and practice in the  improvement prospects of teaching and learning quality of Definite Integral.Keywords: Definite Integral; Digital Technologies in Calculus Teaching; Mathematics Education in Higher Education. 


2015 ◽  
Vol 10 (2) ◽  
pp. 159-177 ◽  
Author(s):  
Randi Saloman

Dublin's Gresham Hotel, where Gabriel and Gretta Conroy end their evening in Joyce's most famous short story, has a fascinating history. It was founded in 1817 by Thomas Gresham, who began life as a foundling rescued from the steps of London's Royal Exchange and was thereby given the name of the Renaissance statesman who built that exchange. This sixteenth-century Thomas Gresham was even better known, however, for his eponymous ‘Gresham's Law’. Both Gresham's Law and the hotel setting and history enter into and help to shape ‘The Dead’. Questions of value and valuing suggested by Gresham's Law are shown to be more complicated than they initially appear, as they intersect with the various forms of hospitality traced in the story. The ‘secondary’ quality of the famous Dublin hotel (built by the second, unknown Thomas Gresham) underscores – and ultimately redeems – the theme of secondariness that runs through ‘The Dead’.


2020 ◽  
Vol 18 (4) ◽  
pp. 765-779
Author(s):  
E.V. Popov ◽  
K.A. Semyachkov ◽  
K.V. Zhunusova

Subject. This article explores the basic elements of the engineering infrastructure of smart cities. Objectives. The article aims to systematize theoretical descriptions of the engineering infrastructure of a smart city. Methods. For the study, we used a logical analysis and systematization. Results. The article highlights the main areas of infrastructure development of smart cities. Conclusions. Improving process management mechanisms, optimizing urban infrastructure, increasing the use of digital technologies, and developing socio-economic innovation improve the quality of the urban environment in a digitalized environment. And improving the efficiency of urban planning and security, studying its properties and characteristics, and forming an effective urban information system lead to its functional transformations.


2020 ◽  
Author(s):  
Yukihiko Hamada ◽  
Khushbu Agrawal

Money is a necessary component of any democracy: it enables political participation, campaigning and representation. However, if it is not effectively regulated, it can undermine the integrity of political processes and institutions, and jeopardize the quality of democracy. Therefore, regulations related to the funding of political parties and election campaigns, commonly known as political finance, are a critical way to promote integrity, transparency and accountability in any democracy. Political finance regulations must adapt and adjust to political, economic and societal changes. This report contributes to the discussion of the future of political finance by exploring the following trends, opportunities and challenges related to money in politics that need to be taken into consideration when improving political finance systems: • mainstreaming political finance regulations into an overall anti-corruption framework; • supporting the implementation of existing political finance regulations and monitoring their performance; • harnessing digital technologies to ensure transparency and accountability in political finance; and • designing targeted political finance measures to encourage the inclusion of underrepresented groups in politics.


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