{"title":"Correction to Encountering Proportional Reasoning During a Single Algebra Lesson: A Microgenetic Analysis","authors":"Anna L. V. Lundberg","doi":"10.29333/iejme/12082","DOIUrl":"https://doi.org/10.29333/iejme/12082","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"61 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87980845","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":"Analyzing experimental and theoretical probabilities in Japanese 7th and 8th grade textbooks","authors":"Ippo Ishibashi","doi":"10.29333/iejme/12061","DOIUrl":"https://doi.org/10.29333/iejme/12061","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"116 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76194739","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}
Mustafa Guler, D. Celik, S. Aydın, Zeynep Medine Ozmen, Kadir Gursoy, D. Arabacı, Gökay Açıkyıldız
{"title":"We train, but how well? Assessing mathematical knowledge for teaching of future Turkish teachers","authors":"Mustafa Guler, D. Celik, S. Aydın, Zeynep Medine Ozmen, Kadir Gursoy, D. Arabacı, Gökay Açıkyıldız","doi":"10.29333/iejme/12062","DOIUrl":"https://doi.org/10.29333/iejme/12062","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"95 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81865959","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}
Joseph Bekoe Appiah, Sarah Korkor, Y. Arthur, Benjamin Adu Obeng
ABSTRACT
摘要
{"title":"Mathematics achievement in high schools, the role of the teacher-student relationship, students’ self-efficacy, and students’ perception of mathematics","authors":"Joseph Bekoe Appiah, Sarah Korkor, Y. Arthur, Benjamin Adu Obeng","doi":"10.29333/iejme/12056","DOIUrl":"https://doi.org/10.29333/iejme/12056","url":null,"abstract":"ABSTRACT","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"144 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77941516","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 study the uniqueness of a decomposition of a tensor over a field as a sum of rank 1 tensors, when the tensor has low rank, up to 3 . We put this in a more general framework ( X -rank) and study two different definitions of decompositions over a given (not algebraically closed) field
{"title":"Uniqueness of the Tensor Decomposition for Tensors With Small Ranks Over a Field","authors":"E. Ballico","doi":"10.47443/ejm.2022.007","DOIUrl":"https://doi.org/10.47443/ejm.2022.007","url":null,"abstract":"We study the uniqueness of a decomposition of a tensor over a field as a sum of rank 1 tensors, when the tensor has low rank, up to 3 . We put this in a more general framework ( X -rank) and study two different definitions of decompositions over a given (not algebraically closed) field","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"20 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74503234","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":"Analyzing in-service teachers’ process of mathematical literacy problem posing","authors":"Tugce Kozakli Ulger, Isil Bozkurt, Murat Altun","doi":"10.29333/iejme/11985","DOIUrl":"https://doi.org/10.29333/iejme/11985","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"18 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74699265","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}
In this paper, we present parts of an online qualitative research project which lasted a whole semester about the understanding of real numbers by sixty first-year Greek mathematics undergraduate students during the COVID-19 pandemic. We focus on the distinction between rational and irrational numbers and their location on the number line using straightedge and compass. The results, came of questionnaires, focused interviews and tasks, disclosed some gaps regarding real numbers that the students had from school and revealed confusion between irrational numbers and their decimal approximation. The results also led us to group students' conceptions of rational and irrational numbers into five categories related to the number and pattern of decimal digits. Teaching practices and perspectives as well as the, negative, impact of the pandemic on teaching and learning mathematics are discussed.
{"title":"Mathematics students’ conceptions and reactions to questions concerning the nature of rational and irrational numbers","authors":"I. Rizos, Maria Adam","doi":"10.29333/iejme/11977","DOIUrl":"https://doi.org/10.29333/iejme/11977","url":null,"abstract":"In this paper, we present parts of an online qualitative research project which lasted a whole semester about the understanding of real numbers by sixty first-year Greek mathematics undergraduate students during the COVID-19 pandemic. We focus on the distinction between rational and irrational numbers and their location on the number line using straightedge and compass. The results, came of questionnaires, focused interviews and tasks, disclosed some gaps regarding real numbers that the students had from school and revealed confusion between irrational numbers and their decimal approximation. The results also led us to group students' conceptions of rational and irrational numbers into five categories related to the number and pattern of decimal digits. Teaching practices and perspectives as well as the, negative, impact of the pandemic on teaching and learning mathematics are discussed.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"6 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81831563","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}
Initial-boundary value problems for the $n$-dimensional ($n$ is a natural number from the interval [2,7]) Kuramoto-Sivashinsky equation posed on smooth bounded domains in $mathbb{R}^n$ were considered. The existence and uniqueness of global regular solutions as well as their exponential decay have been considered.
{"title":"Global regular solutions for the multi-dimensional Kuramoto-Sivashinsky equation posed on smooth domains","authors":"N. Larkin","doi":"10.47443/ejm.2022.015","DOIUrl":"https://doi.org/10.47443/ejm.2022.015","url":null,"abstract":"Initial-boundary value problems for the $n$-dimensional ($n$ is a natural number from the interval [2,7]) Kuramoto-Sivashinsky equation posed on smooth bounded domains in $mathbb{R}^n$ were considered. The existence and uniqueness of global regular solutions as well as their exponential decay have been considered.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"114 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87942240","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}
Ellen Kristine Solbrekke Hansen, Margrethe Naalsund
{"title":"The role of teacher actions for students’ productive interaction solving a linear function problem","authors":"Ellen Kristine Solbrekke Hansen, Margrethe Naalsund","doi":"10.29333/iejme/11921","DOIUrl":"https://doi.org/10.29333/iejme/11921","url":null,"abstract":"","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74216636","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}
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