Pub Date : 2022-02-28DOI: 10.53656/math2022-1-7-con
J. Ninova
The article examines a not completely solved didactic problem, which is worked upon by various authors - psychologists and methodologists. This is an another attempt to find a solution to part of the problem of forming skills in students to perform contextual recoding. This activity is performed when solving problems and proving statements, but is not formed automatically.
{"title":"Contextual Recoding","authors":"J. Ninova","doi":"10.53656/math2022-1-7-con","DOIUrl":"https://doi.org/10.53656/math2022-1-7-con","url":null,"abstract":"The article examines a not completely solved didactic problem, which is worked upon by various authors - psychologists and methodologists. This is an another attempt to find a solution to part of the problem of forming skills in students to perform contextual recoding. This activity is performed when solving problems and proving statements, but is not formed automatically.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77283297","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.53656/math2022-1-2-con
L. Zelenina, Liudmila E. Khaimina, Evgenii S. Khaimin, D.S. Khripunov, I. M. Zashikhina
Convolutional neural networks are acquiring general acknowledgement for diverse application areas. The article describes the process of solving the task of images classification using convolutional neural networks. The authors present the examples of using convolutional neural networks for various purposes. The composed set of data is used to implement and train the model of convolutional neural network for the task of classification of medical images.
{"title":"Convolutional Neural Networks in the Task of Image Classification","authors":"L. Zelenina, Liudmila E. Khaimina, Evgenii S. Khaimin, D.S. Khripunov, I. M. Zashikhina","doi":"10.53656/math2022-1-2-con","DOIUrl":"https://doi.org/10.53656/math2022-1-2-con","url":null,"abstract":"Convolutional neural networks are acquiring general acknowledgement for diverse application areas. The article describes the process of solving the task of images classification using convolutional neural networks. The authors present the examples of using convolutional neural networks for various purposes. The composed set of data is used to implement and train the model of convolutional neural network for the task of classification of medical images.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81435672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.53656/math2022-1-9-res
Solutions of problems from issue 6, 2021
2021年第6期的问题解决方案
{"title":"Solutions of problems from issue 6, 2021","authors":"","doi":"10.53656/math2022-1-9-res","DOIUrl":"https://doi.org/10.53656/math2022-1-9-res","url":null,"abstract":"Solutions of problems from issue 6, 2021","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82978849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.53656/math2022-1-1-the
Radoslav Božić, D. Takaci, Milan Grujin
In this paper, the influence of collaborative learning of functions, algebraically represented as functions with parameters, in GeoGebra environment is analyzed. The research presented in this paper is the continuation of the research in Bozic and Takaci (2021), conducted at the University of Novi Sad, Serbia, with two groups of students, the experimental and the control one. The students in the experimental group learned in small, four member groups and the students in the control group learned individually. The students from both the groups learned in GeoGebra environment. The students’ learning achievements in examining properties of functions with parameters is analyzed and compared. It is proved that it is better when the students work in collaborative groups than when they learn individually.
{"title":"The Influence of Collaborative Learning on Students’ Achievement in Examining Functions with Parameters in Dynamic Software Environment","authors":"Radoslav Božić, D. Takaci, Milan Grujin","doi":"10.53656/math2022-1-1-the","DOIUrl":"https://doi.org/10.53656/math2022-1-1-the","url":null,"abstract":"In this paper, the influence of collaborative learning of functions, algebraically represented as functions with parameters, in GeoGebra environment is analyzed. The research presented in this paper is the continuation of the research in Bozic and Takaci (2021), conducted at the University of Novi Sad, Serbia, with two groups of students, the experimental and the control one. The students in the experimental group learned in small, four member groups and the students in the control group learned individually. The students from both the groups learned in GeoGebra environment. The students’ learning achievements in examining properties of functions with parameters is analyzed and compared. It is proved that it is better when the students work in collaborative groups than when they learn individually.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80337423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-02-28DOI: 10.53656/math2022-1-6-inn
Y. Petkov, Alexandre Ivanov Chikalanov
At present, the problem of storing large data sets as a source of artificial intelligence acquires a geopolitical and strategic character. The most well-known and used type of databases so far are the relational (SQL databases) and nonrelational (NoSQL databases. The both approaches have some principle problems, which are described below. That publication presents two original approaches to overcoming some of these shortcomings. First one is Object-oriented model for storing data in a relational database. The second is Storage of non-relational data in a relational database according to previously freely created by the user models. Presented models were used as base for software development of more than ten middle and large size national and European scientific and industrial projects.
{"title":"Innovative Proposals for Database Storage and Management","authors":"Y. Petkov, Alexandre Ivanov Chikalanov","doi":"10.53656/math2022-1-6-inn","DOIUrl":"https://doi.org/10.53656/math2022-1-6-inn","url":null,"abstract":"At present, the problem of storing large data sets as a source of artificial intelligence acquires a geopolitical and strategic character. The most well-known and used type of databases so far are the relational (SQL databases) and nonrelational (NoSQL databases. The both approaches have some principle problems, which are described below. That publication presents two original approaches to overcoming some of these shortcomings. First one is Object-oriented model for storing data in a relational database. The second is Storage of non-relational data in a relational database according to previously freely created by the user models. Presented models were used as base for software development of more than ten middle and large size national and European scientific and industrial projects.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81728303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-31DOI: 10.53656/math2021-6-4-the
Toni Chehlarova
The main task considered in this material is related to the restoration of the mosaic “Source of Life” in the Bishop’s Basilica of Philippopolis. Ideas for creation and use of computer models of the geometric scheme and of separate figures in the considered mosaic are presented. Technologies such as 360-degree photography, 3D printing, specialized software for creating computer models, etc. are shared to provide conditions for research work. STEAM training, especially in the context of STEAM centers and innovative schools, creates good opportunities for the widespread deployment of such resources. Most of the described educational resources are provided with free access in the Virtual Mathematics Laboratory, developed at the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences.
{"title":"“The Source of Life” in Bishop’s Basilica Of Philippopolis in the Context of Steam","authors":"Toni Chehlarova","doi":"10.53656/math2021-6-4-the","DOIUrl":"https://doi.org/10.53656/math2021-6-4-the","url":null,"abstract":"The main task considered in this material is related to the restoration of the mosaic “Source of Life” in the Bishop’s Basilica of Philippopolis. Ideas for creation and use of computer models of the geometric scheme and of separate figures in the considered mosaic are presented. Technologies such as 360-degree photography, 3D printing, specialized software for creating computer models, etc. are shared to provide conditions for research work. STEAM training, especially in the context of STEAM centers and innovative schools, creates good opportunities for the widespread deployment of such resources. Most of the described educational resources are provided with free access in the Virtual Mathematics Laboratory, developed at the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81895949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-31DOI: 10.53656/math2021-6-9-res
{"title":"ISolutions of problems from issue 5, 2021","authors":"","doi":"10.53656/math2021-6-9-res","DOIUrl":"https://doi.org/10.53656/math2021-6-9-res","url":null,"abstract":"","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89853208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-31DOI: 10.53656/math2021-6-1-kri
Margarita Lambova, V. Stoyanova
In the presentation, problems have been addressed in perception and popular delusions in the interpretation of information related to the level of confidence / uncertainty of tests by which the presence or absence of contamination is verified. The theoretical essence of the probabilities of a false positive and false negative result, as well as the level of confidence / uncertainty of the test results and on this basis there are assumptions about the perception of such information and possible misconceptions in its interpretation by society. Assumptions made are checked on the information based on a non-reporting survey. The results obtained reveal user difficulties in rationalizing and interpreting the data provided as well as when detecting logical links characteristic of such information.
{"title":"Crowded Probabilities in Tests for the Presence of Infection","authors":"Margarita Lambova, V. Stoyanova","doi":"10.53656/math2021-6-1-kri","DOIUrl":"https://doi.org/10.53656/math2021-6-1-kri","url":null,"abstract":"In the presentation, problems have been addressed in perception and popular delusions in the interpretation of information related to the level of confidence / uncertainty of tests by which the presence or absence of contamination is verified. The theoretical essence of the probabilities of a false positive and false negative result, as well as the level of confidence / uncertainty of the test results and on this basis there are assumptions about the perception of such information and possible misconceptions in its interpretation by society. Assumptions made are checked on the information based on a non-reporting survey. The results obtained reveal user difficulties in rationalizing and interpreting the data provided as well as when detecting logical links characteristic of such information.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89542165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-31DOI: 10.53656/math2021-6-6-pre
Lyubka K. Aleksieva, Iliana Mirtschewa, Snezhana Radeva
Early STEM education has a great potential to support children’s development in constructing their own knowledge, in designing, discussing and testing ideas and finding solutions to different problems. Significant role in achieving the goals of STEM education is played by the teacher, who scaffolds the learning process, builds a creative learning environment, provokes children with open questions and guides them to test their hypothesis as young scientists, mathematicians, engineers and technology users. Preschool teachers’ knowledge and perspectives could seriously influence their practices in STEM education and respectively, the fulfilment of STEM learning outcomes. It is very important to explore in depth teachers’ views and experiences thus to plan and provide appropriate courses for their academic preparation or continuous professional development. While reviewing some popular misconceptions for STEM education amongst teachers, this paper presents the results of pre- and post-interviews conducted with teachers from Bulgaria in the framework of the European multilateral Erasmus+ project №2018-1-TR01-KA203-059568 “STEM for Pre-schoolers and Their Families” (PARENTSTEM) (2018–2021). The overall goal of this project was to increase family involvement in the STEM education process of early childhood children specifically coming from low socio-economic status. As a part of this goal implementation, the project aimed to extend conceptual and pedagogical knowledge of early childhood teachers on STEM. In the frame of the project the preschool teachers-participants in the study were provided with three teacher trainings (two international and one national) and were additionally supported with the intellectual outputs of the project. This paper attempted to identify teachers’ preliminary knowledge, awareness and attitudes towards STEM conceptualization and pedagogy and to describe the relative influence of the project teacher trainings and activities on them. The results of the research unambiguously demonstrated the need for training of preschool teachers in terms of STEM education, outlining the main focuses to be considered when constructing STEM courses intended for preschool teachers.
{"title":"Preschool Teachers’ Knowledge, Perspectives and Practices in Stem Education: An Interview Study","authors":"Lyubka K. Aleksieva, Iliana Mirtschewa, Snezhana Radeva","doi":"10.53656/math2021-6-6-pre","DOIUrl":"https://doi.org/10.53656/math2021-6-6-pre","url":null,"abstract":"Early STEM education has a great potential to support children’s development in constructing their own knowledge, in designing, discussing and testing ideas and finding solutions to different problems. Significant role in achieving the goals of STEM education is played by the teacher, who scaffolds the learning process, builds a creative learning environment, provokes children with open questions and guides them to test their hypothesis as young scientists, mathematicians, engineers and technology users. Preschool teachers’ knowledge and perspectives could seriously influence their practices in STEM education and respectively, the fulfilment of STEM learning outcomes. It is very important to explore in depth teachers’ views and experiences thus to plan and provide appropriate courses for their academic preparation or continuous professional development. While reviewing some popular misconceptions for STEM education amongst teachers, this paper presents the results of pre- and post-interviews conducted with teachers from Bulgaria in the framework of the European multilateral Erasmus+ project №2018-1-TR01-KA203-059568 “STEM for Pre-schoolers and Their Families” (PARENTSTEM) (2018–2021). The overall goal of this project was to increase family involvement in the STEM education process of early childhood children specifically coming from low socio-economic status. As a part of this goal implementation, the project aimed to extend conceptual and pedagogical knowledge of early childhood teachers on STEM. In the frame of the project the preschool teachers-participants in the study were provided with three teacher trainings (two international and one national) and were additionally supported with the intellectual outputs of the project. This paper attempted to identify teachers’ preliminary knowledge, awareness and attitudes towards STEM conceptualization and pedagogy and to describe the relative influence of the project teacher trainings and activities on them. The results of the research unambiguously demonstrated the need for training of preschool teachers in terms of STEM education, outlining the main focuses to be considered when constructing STEM courses intended for preschool teachers.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89752805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-31DOI: 10.53656/math2021-6-3-ele
M. Gocheva, N. Kasakliev, E. Somova
The COVID-19 pandemic changed our way of life, affected many industries, and had a major impact on education. The paper presents observations and analyses of the challenges raised by the short adaptation time of the learning process and the caused technical, academic, and communication difficulties. An overview of the distinctive features of e-learning during crises, with special attention to communication, feedback and pedagogical approaches in an electronic environment, has been made. Empirical research of the opinion of students and teachers about online learning was conducted. The used research methods are survey and direct observation. Special attention is paid to the results of the survey, which are presented and discussed in detail.
{"title":"E-Learning During Covid-19 Pandemic: An Empirical Research","authors":"M. Gocheva, N. Kasakliev, E. Somova","doi":"10.53656/math2021-6-3-ele","DOIUrl":"https://doi.org/10.53656/math2021-6-3-ele","url":null,"abstract":"The COVID-19 pandemic changed our way of life, affected many industries, and had a major impact on education. The paper presents observations and analyses of the challenges raised by the short adaptation time of the learning process and the caused technical, academic, and communication difficulties. An overview of the distinctive features of e-learning during crises, with special attention to communication, feedback and pedagogical approaches in an electronic environment, has been made. Empirical research of the opinion of students and teachers about online learning was conducted. The used research methods are survey and direct observation. Special attention is paid to the results of the survey, which are presented and discussed in detail.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81897908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：