Pub Date : 2021-08-30DOI: 10.53656/math2021-4-1-fin
S. Resic, Vehbi Ramaj, Biljana Petković, Samira Aganović
The authors of the paper have innovated and explored the theory of size relations of a financial project, the duration of its creation, the determination of its price, the duration of use and financing of the price of a project. The duration of use of a financial project has two planned time intervals. The first time interval is planned for repayment of the loan amount of the project price, and the second one is for acquisition of the planned profit. A new model of loan repayment is used – with different; decursive annuities, interest rates and periods of capitalization. The introduced theory was applied to calculations in the form of a financial project model using Excel.
{"title":"Financial projects and loans with different, decursive annuities, interest rates and capitalization periods with the use of excel","authors":"S. Resic, Vehbi Ramaj, Biljana Petković, Samira Aganović","doi":"10.53656/math2021-4-1-fin","DOIUrl":"https://doi.org/10.53656/math2021-4-1-fin","url":null,"abstract":"The authors of the paper have innovated and explored the theory of size relations of a financial project, the duration of its creation, the determination of its price, the duration of use and financing of the price of a project. The duration of use of a financial project has two planned time intervals. The first time interval is planned for repayment of the loan amount of the project price, and the second one is for acquisition of the planned profit. A new model of loan repayment is used – with different; decursive annuities, interest rates and periods of capitalization. The introduced theory was applied to calculations in the form of a financial project model using Excel.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73243650","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 : 2021-08-30DOI: 10.53656/math2021-4-5-pred
M. Marinov, Petya Asenova
The article discusses the problem of introducing and constructing mathematical concepts using a computer. The Wolfram Mathematica 12 symbolic calculation system is used at each stage of the complex spiral process to form the notion of conic section and the related concepts of focus, directrix and eccentricity. The nature of these notions implies the use of appropriate animations, 3D graphics and symbolic calculations. Our vision of the process of formation of mathematical concepts is presented. The notions ellipse, parabola and hyperbola are defined as the intersection of a conical surface with a plane not containing the vertex of the conical surface. The conical section is represented as a geometric location of points on the plane for which the ratio of the distance to the focus to the distance to the directrix is a constant value. The lines of hyperbola and ellipse are determined by their foci. The equivalence of different definitions for conical sections is commented.
{"title":"Teaching the Notion Conic Section with Computer","authors":"M. Marinov, Petya Asenova","doi":"10.53656/math2021-4-5-pred","DOIUrl":"https://doi.org/10.53656/math2021-4-5-pred","url":null,"abstract":"The article discusses the problem of introducing and constructing mathematical concepts using a computer. The Wolfram Mathematica 12 symbolic calculation system is used at each stage of the complex spiral process to form the notion of conic section and the related concepts of focus, directrix and eccentricity. The nature of these notions implies the use of appropriate animations, 3D graphics and symbolic calculations. Our vision of the process of formation of mathematical concepts is presented. The notions ellipse, parabola and hyperbola are defined as the intersection of a conical surface with a plane not containing the vertex of the conical surface. The conical section is represented as a geometric location of points on the plane for which the ratio of the distance to the focus to the distance to the directrix is a constant value. The lines of hyperbola and ellipse are determined by their foci. The equivalence of different definitions for conical sections is commented.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80190952","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 : 2021-08-30DOI: 10.53656/math2021-4-2-lea
S. Gaftandzhieva, R. Doneva, G. Pashev, M. Docheva
Nowadays, schools use many information systems to automate their activities for different stakeholders’ groups – learning management systems, student diary, library systems, digital repositories, financial management and accounting systems, document processing systems, etc. The huge amount of data generated by the users of these systems, led to increased interest in the collection and analysis of data to encourage students to achieve higher results, teachers to provide personalized support and school managers to make data-driven decisions at all levels of school, and stimulates research into the application of Learning Analytics (LA) in schools. The paper presents a LA model and a software prototype of the LA tool designed for the needs of Bulgarian school education from the perspective of different stakeholder groups (students, teachers, class teachers, parents, school managers, inspectors from evaluation agencies), aiming to improve school methods of approaching and analyzing learning data. The tool allows stakeholders to track data for students’ learning or training for different purposes, e.g. monitoring, analysis, forecast, intervention, recommendations, etc., but finally to improve the quality of learning and teaching processes. Research and experiments with the model and the LA tool under consideration are conducted based on the information infrastructure of a typical Bulgarian school.
{"title":"Learning Analytics Tool for Bulgarian School Education","authors":"S. Gaftandzhieva, R. Doneva, G. Pashev, M. Docheva","doi":"10.53656/math2021-4-2-lea","DOIUrl":"https://doi.org/10.53656/math2021-4-2-lea","url":null,"abstract":"Nowadays, schools use many information systems to automate their activities for different stakeholders’ groups – learning management systems, student diary, library systems, digital repositories, financial management and accounting systems, document processing systems, etc. The huge amount of data generated by the users of these systems, led to increased interest in the collection and analysis of data to encourage students to achieve higher results, teachers to provide personalized support and school managers to make data-driven decisions at all levels of school, and stimulates research into the application of Learning Analytics (LA) in schools. The paper presents a LA model and a software prototype of the LA tool designed for the needs of Bulgarian school education from the perspective of different stakeholder groups (students, teachers, class teachers, parents, school managers, inspectors from evaluation agencies), aiming to improve school methods of approaching and analyzing learning data. The tool allows stakeholders to track data for students’ learning or training for different purposes, e.g. monitoring, analysis, forecast, intervention, recommendations, etc., but finally to improve the quality of learning and teaching processes. Research and experiments with the model and the LA tool under consideration are conducted based on the information infrastructure of a typical Bulgarian school.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82154248","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 : 2021-08-30DOI: 10.53656/math2021-4-9-vq4
Nikolay Kanchev
{"title":"Entering the Q4 of JCI (WoS)","authors":"Nikolay Kanchev","doi":"10.53656/math2021-4-9-vq4","DOIUrl":"https://doi.org/10.53656/math2021-4-9-vq4","url":null,"abstract":"","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84740896","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 : 2021-08-30DOI: 10.53656/math2021-4-4-zap
Cvetelin Andreev
The paper describes activities for developing the notion of symmetries. The activities were performed by a group of children between the ages of 5 and 9 and a parent of two of them. Through play and active work the group explores symmetries in sports, architecture, biology, language, music and mathematics. The activities were carried out outdoors in nature. Ideas for complementary activities with computers are presented. As a result the children demonstrate the ability to recognize symmetries in areas and situations different from the ones set in the activities they performed. This proves the main thesis of the paper: the nature of mathematics can be captured successfully in an informal environment at any age.
{"title":"Of the Nature of Math and Math in Nature – a Sequel About Symmetry for Children and Adults","authors":"Cvetelin Andreev","doi":"10.53656/math2021-4-4-zap","DOIUrl":"https://doi.org/10.53656/math2021-4-4-zap","url":null,"abstract":"The paper describes activities for developing the notion of symmetries. The activities were performed by a group of children between the ages of 5 and 9 and a parent of two of them. Through play and active work the group explores symmetries in sports, architecture, biology, language, music and mathematics. The activities were carried out outdoors in nature. Ideas for complementary activities with computers are presented. As a result the children demonstrate the ability to recognize symmetries in areas and situations different from the ones set in the activities they performed. This proves the main thesis of the paper: the nature of mathematics can be captured successfully in an informal environment at any age.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74975548","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 : 2021-08-30DOI: 10.53656/math2021-4-6-the
Dmitry Pavlov, Adel Kaplan, K. Butarev
The article describes the problem of teaching programming at an early school age. The main objective of the article is to demonstrate the results of research on the problems of early learning. The authors analyzed teaching programming in Russian schools, its past, present and prospects. The local (subject) tasks and the global impact of early learning in programming on learning in primary school have been determined. The authors, as the results of their research, highlight several problems that arise in early learning to program. And they establish the reasons, as well as possible ways to overcome these problems.
{"title":"The Development of Methodical Approaches to the Implementation of the Propedeutic Course of Informatics in Primary School by Means оf Kodu Game Lab","authors":"Dmitry Pavlov, Adel Kaplan, K. Butarev","doi":"10.53656/math2021-4-6-the","DOIUrl":"https://doi.org/10.53656/math2021-4-6-the","url":null,"abstract":"The article describes the problem of teaching programming at an early school age. The main objective of the article is to demonstrate the results of research on the problems of early learning. The authors analyzed teaching programming in Russian schools, its past, present and prospects. The local (subject) tasks and the global impact of early learning in programming on learning in primary school have been determined. The authors, as the results of their research, highlight several problems that arise in early learning to program. And they establish the reasons, as well as possible ways to overcome these problems.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75716346","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 : 2021-08-30DOI: 10.53656/math2021-4-10-awa
A. Vassileva
This paper presents the winners of the 2021 Awards to Teachers in Mathematics and Computer Science given annually by the International Foundation “Sts. Cyril and Methodius” for high achievements in identifying and developing gifted students in the last five years. The winners of the annual awards are determined jointly with the Union of Mathematicians in Bulgaria.
{"title":"Annual Awards to Teachers in Mathematics and Computer Science & IT","authors":"A. Vassileva","doi":"10.53656/math2021-4-10-awa","DOIUrl":"https://doi.org/10.53656/math2021-4-10-awa","url":null,"abstract":"This paper presents the winners of the 2021 Awards to Teachers in Mathematics and Computer Science given annually by the International Foundation “Sts. Cyril and Methodius” for high achievements in identifying and developing gifted students in the last five years. The winners of the annual awards are determined jointly with the Union of Mathematicians in Bulgaria.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86851637","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 : 2021-08-30DOI: 10.53656/math2021-4-8-res
{"title":"Solutions of problems from issue 3, 2021","authors":"","doi":"10.53656/math2021-4-8-res","DOIUrl":"https://doi.org/10.53656/math2021-4-8-res","url":null,"abstract":"","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90604010","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 : 2021-04-30DOI: 10.53656/math2021-2-11-res
{"title":"Solutions of problems from issue 1, 2021","authors":"","doi":"10.53656/math2021-2-11-res","DOIUrl":"https://doi.org/10.53656/math2021-2-11-res","url":null,"abstract":"","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78601743","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 : 2021-02-25DOI: 10.53656/math2021-1-2-jal
Diyan Dimitrov, Svetlin Lalov, Stefan Hadzhistoykov, Elena Kiselova
The paper includes a review of the contest papers in mathematics of the two days of the 17th International Zhautykov Olympiad with a virtual host Kazakhstan and the Bulgarian participation therein. It contains the contest problems and the solutions of the first three authors, in some cases with several approaches to the problems.
{"title":"The 17th Zhautykov Olympiad In Mathematics, Physics And Computer Science","authors":"Diyan Dimitrov, Svetlin Lalov, Stefan Hadzhistoykov, Elena Kiselova","doi":"10.53656/math2021-1-2-jal","DOIUrl":"https://doi.org/10.53656/math2021-1-2-jal","url":null,"abstract":"The paper includes a review of the contest papers in mathematics of the two days of the 17th International Zhautykov Olympiad with a virtual host Kazakhstan and the Bulgarian participation therein. It contains the contest problems and the solutions of the first three authors, in some cases with several approaches to the problems.","PeriodicalId":41818,"journal":{"name":"Mathematics and Informatics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77537321","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：