发布求助
文献互助 智能选刊 最新文献

Teaching of Mathematics最新文献

筛选
英文 中文
Graph solution of a system of recurrence equations 递归方程组的图解
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-eqwm6024
{"title":"Graph solution of a system of recurrence equations","authors":"","doi":"10.57016/tm-eqwm6024","DOIUrl":"https://doi.org/10.57016/tm-eqwm6024","url":null,"abstract":"","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70914235","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}
引用次数: 0
The relation between Pappus's and Ceva's theorem 帕普斯定理和切娃定理之间的关系
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-ftre5930
{"title":"The relation between Pappus's and Ceva's theorem","authors":"","doi":"10.57016/tm-ftre5930","DOIUrl":"https://doi.org/10.57016/tm-ftre5930","url":null,"abstract":"","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70914246","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}
引用次数: 0
An application of the quadrilateral's geometry in solving competitive planimetric problems 四边形几何在解决竞争平面问题中的应用
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-gkzb9621
J. Tabov, Asen Velchev, Rayna Alashka, Sevdalin Tsvetanov
{"title":"An application of the quadrilateral's geometry in solving competitive planimetric problems","authors":"J. Tabov, Asen Velchev, Rayna Alashka, Sevdalin Tsvetanov","doi":"10.57016/tm-gkzb9621","DOIUrl":"https://doi.org/10.57016/tm-gkzb9621","url":null,"abstract":". In the present publication, which can be considered as a continuation of the paper V. Nenkov, St. Stefanov, H. Haimov, An application of quadrilat-eral’s geometry in solving competitive mathematical problems , Synergetics and reflec-tion in mathematics education, Proceedings of the anniversary international scientific conference, Pamporovo, October 16-18, pp. 121–128, 2020, the application of the geometry of quadrilateral to the solution of exams is considered. Three examples given in the magazine “Mathematics and Informatics” have been selected, the solutions of which illustrate well the benefit of studying the recently discovered properties of convex quadrilaterals. Two solutions to the tasks are presented for comparison. The first, proposed by participants in the competition, are relatively complex and longer, and the second—based precisely on elements of the geometry of quadrilateral, are signifi-cantly simpler and shorter. These solutions are based on properties of quadrilaterals associated with some of their remarkable points.","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70914257","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}
引用次数: 0
Relaxation of the sequential criteria for continuity and uniform continuity of a real function 实函数连续性和一致连续性的顺序准则的松弛
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-sbhr1144
Spiros Konstantogiannis
{"title":"Relaxation of the sequential criteria for continuity and uniform continuity of a real function","authors":"Spiros Konstantogiannis","doi":"10.57016/tm-sbhr1144","DOIUrl":"https://doi.org/10.57016/tm-sbhr1144","url":null,"abstract":"We show how two fundamental sequential criteria for real functions, namely the sequential criterion for continuity and the sequential criterion for uniform continuity, are relaxed. Further, we derive a global continuity criterion, as an immediate consequence of the relaxed sequential criterion for continuity, and a fundamental property of uniformly continuous functions, as an application of the relaxed sequential criterion for uniform continuity.","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70913864","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}
引用次数: 0
Applications of logistic and generalized logistic difference equations in economics: AK model logistic与广义logistic差分方程在经济学中的应用:AK模型
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-rmsh3417
J. Stanojević, K. Kukić, N. Vuksanovic, Dragana Draganac
{"title":"Applications of logistic and generalized logistic difference equations in economics: AK model","authors":"J. Stanojević, K. Kukić, N. Vuksanovic, Dragana Draganac","doi":"10.57016/tm-rmsh3417","DOIUrl":"https://doi.org/10.57016/tm-rmsh3417","url":null,"abstract":"In this paper, we demonstrate how logistic equation and generalized logistic equation can be applied in teaching economics with the aim that students easily grasp the AK model. To this end, the AK model is firstly modified into three versions, after which the first and the second model are reduced to the generalized logistic equations. The purpose of this paper is to present how through applying the mathematical modifications of mentioned versions of AK models, they become more cognizable to students, which should result by more deeply understanding of well-known economic models.","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70913817","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}
引用次数: 0
Students' success in solving mathematical problems depending on different representations 学生解决数学问题的成功与否取决于不同的表征
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-bapu1403
Branislav Z. Popovic, Sladjana Dimitrijević, Marija Stanić, Aleksandar Milenković
{"title":"Students' success in solving mathematical problems depending on different representations","authors":"Branislav Z. Popovic, Sladjana Dimitrijević, Marija Stanić, Aleksandar Milenković","doi":"10.57016/tm-bapu1403","DOIUrl":"https://doi.org/10.57016/tm-bapu1403","url":null,"abstract":"In order to solve mathematical problems, students often need to make the transition from one representation of mathematical concepts in those problem formulations to another representation. In this paper we explore the influence of the representations used in the problem formulation (problems with the same mathematical background with regards to solving easier or more complex equations and determining the unknown value of the proportion) on students' success in solving those problems. On a representative sample of 584 8th grade students, we tested whether there were differences in students' success in solving mathematical problems while using symbolic, graphic, or verbal representations in the formulations of problems belonging to different level of complexity. Results of this research indicate that there is significant impact of the representations of mathematical concepts used in problem formulation on students' success. Furthermore, the level of impact of using different representations in problem formulations depends on the level of the problem complexity when it comes to students' success in solving those problems.","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70914188","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}
引用次数: 0
Smoothness of the signed distance function: A simple proof 带符号距离函数的平滑性:一个简单的证明
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-dvla5418
{"title":"Smoothness of the signed distance function: A simple proof","authors":"","doi":"10.57016/tm-dvla5418","DOIUrl":"https://doi.org/10.57016/tm-dvla5418","url":null,"abstract":"","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70914199","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}
引用次数: 0
Yet another elementary proof of Brauer's theorem 这是布劳尔定理的又一个初等证明
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-kbui6835
{"title":"Yet another elementary proof of Brauer's theorem","authors":"","doi":"10.57016/tm-kbui6835","DOIUrl":"https://doi.org/10.57016/tm-kbui6835","url":null,"abstract":"","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70913804","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}
引用次数: 0
Displaying parametric curves with virtual and physical tools 显示参数曲线与虚拟和物理工具
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-ehgc7743
Attila Körei, Szilvia Szilágyi
{"title":"Displaying parametric curves with virtual and physical tools","authors":"Attila Körei, Szilvia Szilágyi","doi":"10.57016/tm-ehgc7743","DOIUrl":"https://doi.org/10.57016/tm-ehgc7743","url":null,"abstract":"Parametric curves play an important role in mathematics and engineering education. The purpose of this paper is to introduce the hypotrochoid family of curves and to provide ideas and tools for teaching the topic. We give the general parametric equations of hypotrochoids and show that several special curves can be derived from these equations. To display the curves we use the Hypotrochoid Equation Tracer, which is a dynamic application made by Desmos graphic calculator. In addition we have created a LEGO robot called Spikograph, that models a Spirograph and draws different hypotrochoids providing a physical experience for students. Finally, we have compiled a student project to practice and deepen the knowledge about hypotrochoids.","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"12 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70914211","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}
引用次数: 1
P Problem as a means to encourage students' conceptualization of fractions P问题作为鼓励学生对分数概念化的一种手段
IF 0.1
Teaching of Mathematics Pub Date : 2022-01-01 DOI: 10.57016/tm-eqgl7427
{"title":"P Problem as a means to encourage students' conceptualization of fractions","authors":"","doi":"10.57016/tm-eqgl7427","DOIUrl":"https://doi.org/10.57016/tm-eqgl7427","url":null,"abstract":"","PeriodicalId":41484,"journal":{"name":"Teaching of Mathematics","volume":"33 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70914224","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}
引用次数: 0
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信