{"title":"Trends in learning and teaching of geometry: The case of the Geometry and its Applications Meeting","authors":"Paola Castro, P. Gómez, M. Cañadas","doi":"10.29333/iejme/12474","DOIUrl":"https://doi.org/10.29333/iejme/12474","url":null,"abstract":": The","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"24 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79083738","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}
{"title":"Configuring the landscape of research on problem-solving in mathematics teacher education","authors":"Anette de Ron, I. Christiansen, Kicki Skog","doi":"10.29333/iejme/12457","DOIUrl":"https://doi.org/10.29333/iejme/12457","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"57 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74629627","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}
For n ∈ { 1 , 2 , . . . } , let Ω n = π n/ 2 / Γ( n 2 + 1) be the volume of the unit ball in R n . In this paper, we give a new asymptotic expansion for Ω n . Based on the obtained result, we also establish a sharp double inequality for Ω n .
{"title":"A new asymptotic expansion and sharp inequality for the volume of the unit ball in R^n","authors":"Xiao Zhang, Chao-Ping Chen","doi":"10.47443/ejm.2022.032","DOIUrl":"https://doi.org/10.47443/ejm.2022.032","url":null,"abstract":"For n ∈ { 1 , 2 , . . . } , let Ω n = π n/ 2 / Γ( n 2 + 1) be the volume of the unit ball in R n . In this paper, we give a new asymptotic expansion for Ω n . Based on the obtained result, we also establish a sharp double inequality for Ω n .","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"364 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76425562","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}
We evaluate in closed form a number of power series where the coefficients are products of Stirling numbers of the second kind and other special numbers or polynomials. The results include harmonic, hyperharmonic, derangement, Cauchy, Catalan numbers, zeta values, and also Bernoulli, Euler, and Laguerre polynomials.
{"title":"The Hadamard product of series with Stirling numbers of the second kind and other special numbers","authors":"Khristo N. Boyadzhiev, R. Frontczak","doi":"10.47443/ejm.2022.024","DOIUrl":"https://doi.org/10.47443/ejm.2022.024","url":null,"abstract":"We evaluate in closed form a number of power series where the coefficients are products of Stirling numbers of the second kind and other special numbers or polynomials. The results include harmonic, hyperharmonic, derangement, Cauchy, Catalan numbers, zeta values, and also Bernoulli, Euler, and Laguerre polynomials.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"62 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85396205","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}
{"title":"Aspects of attitudes towards mathematics in modeling activities: Usefulness, interest, and social roles of mathematics","authors":"A. P. C. Lopes","doi":"10.29333/iejme/12394","DOIUrl":"https://doi.org/10.29333/iejme/12394","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74808887","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}
By expressing Fibonacci and Lucas numbers in terms of the powers of the golden ratio α = (1 + √ 5) / 2 and its inverse β = − 1 /α = (1 − √ 5) / 2 , a multitude of Fibonacci and Lucas identities have been developed in the literature. In this paper, the reverse course is followed: numerous Fibonacci and Lucas identities are derived by making use of the well-known expressions for the powers of α and β in terms of Fibonacci and Lucas numbers.
{"title":"Fibonacci and Lucas Identities Derived via the Golden Ratio","authors":"K. Adegoke","doi":"10.47443/ejm.2022.018","DOIUrl":"https://doi.org/10.47443/ejm.2022.018","url":null,"abstract":"By expressing Fibonacci and Lucas numbers in terms of the powers of the golden ratio α = (1 + √ 5) / 2 and its inverse β = − 1 /α = (1 − √ 5) / 2 , a multitude of Fibonacci and Lucas identities have been developed in the literature. In this paper, the reverse course is followed: numerous Fibonacci and Lucas identities are derived by making use of the well-known expressions for the powers of α and β in terms of Fibonacci and Lucas numbers.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"76 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90313799","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}
{"title":"Whom do they become? A systematic review of research on the impact of practicum on student teachers’ affect, beliefs, and identities","authors":"Lisa Österling, I. Christiansen","doi":"10.29333/iejme/12380","DOIUrl":"https://doi.org/10.29333/iejme/12380","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"46 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75740309","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}
Anna-Marietha Vogler, Esther Henschen, Martina Teschner
{"title":"Peer interactions and their role in early mathematical learning in kindergarten discourses","authors":"Anna-Marietha Vogler, Esther Henschen, Martina Teschner","doi":"10.29333/iejme/12362","DOIUrl":"https://doi.org/10.29333/iejme/12362","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"68 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84128188","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}
{"title":"Exploring the effect of student-teaching on elementary student-teachers’ math anxiety","authors":"Muhammad Sharif Uddin","doi":"10.29333/iejme/12316","DOIUrl":"https://doi.org/10.29333/iejme/12316","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"3 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84911881","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}
{"title":"Mathematical proof and epistemological obstacles: Assumptions of the methodological teaching proposal of the Fedathi sequence","authors":"Carlos Henrique Delmiro de Araújo, D. B. Menezes","doi":"10.29333/iejme/12315","DOIUrl":"https://doi.org/10.29333/iejme/12315","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"163 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86377262","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：