International Electronic Journal of Mathematics Education最新文献_第5页

Efficiency of understanding some mathematical problems by means of Pascal’s triangle 用帕斯卡三角形理解一些数学问题的效率

International Electronic Journal of Mathematics Education Pub Date : 2023-10-01 DOI: 10.29333/iejme/13713

Arta Aliu, Shpetim Rexhepi, Egzona Iseni

{"title":"Efficiency of understanding some mathematical problems by means of Pascal’s triangle","authors":"Arta Aliu, Shpetim Rexhepi, Egzona Iseni","doi":"10.29333/iejme/13713","DOIUrl":"https://doi.org/10.29333/iejme/13713","url":null,"abstract":"Various features have been found hidden in the Pascal triangle. In this paper, some very well-known properties of the Pascal triangle will be presented, as well as the properties related to different extensions of the triangle, namely the Pascal pyramid. Given that in the textbooks of the tenth grade, respectively in the school, where we realised the research but also in general in other schools, the importance of the Pascal triangle is not at the right level, then in this paper it has been shown very well that many different exercises in mathematics. The purpose of this paper is to look at the difference and importance of explaining mathematical units against units that students do not have knowledge of, namely the explanation of Pascal’s triangle in the efficiency of solutions to various mathematical exercises. This research is mainly based on descriptive and quantitative method, while research instruments are two tests. From the study of Pascal’s triangle, many solutions of problems in mathematics emerged through this triangle, starting from the binomial formula, the extension of the binomial formula, and the combinatorics as well as the probability. So the students realized that Pascal’s triangle enables the solution of all these exercises in an easier and more understandable way and this also came from the results of two tests. Also, the students were open and motivated for the idea of using Pascal’s triangle for other exercises but what now remains for them to find other possible solutions to the exercises through Pascal’s triangle.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135323374","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

Developing reflective practice among teachers of mathematics 开展数学教师的反思性实践

International Electronic Journal of Mathematics Education Pub Date : 2023-10-01 DOI: 10.29333/iejme/13715

Sima Aghakhani, Rachael A. Lewitzky, Asia Majeed

引用次数: 1

The relationship between mastery learning models and academic achievement in mathematics 数学掌握学习模式与学业成绩的关系

International Electronic Journal of Mathematics Education Pub Date : 2023-10-01 DOI: 10.29333/iejme/13705

Cristina Vlădescu

引用次数: 0

Pre-service special education teachers’ learning through recorded mini-lessons and peer review 职前特殊教育教师通过录制迷你课程和同行评议进行学习

International Electronic Journal of Mathematics Education Pub Date : 2023-10-01 DOI: 10.29333/iejme/13714

Lindsay Vance, Joanne Caniglia, Michelle Meadows

{"title":"Pre-service special education teachers’ learning through recorded mini-lessons and peer review","authors":"Lindsay Vance, Joanne Caniglia, Michelle Meadows","doi":"10.29333/iejme/13714","DOIUrl":"https://doi.org/10.29333/iejme/13714","url":null,"abstract":"Despite the research regarding the importance of peer review and feedback in pre-service special education teachers, there exists a gap in teaching complex mathematical concepts such as fractional operations. This study sought to address this gap by investigating how pre-service teachers can effectively appraise and revise peer-generated teaching transcripts focusing on fraction operations and compare their feedback with those of experienced educators. The research sought to understand how this integrated approach can contribute to improving the instruction of pre-service special education teachers in the field of mathematics education. A modified version of Crespo’s (2018) generating, appraising, and revising of representations was utilized to analyze the video content. Comparisons of the reviews showed that pre-service teachers may not have the content knowledge or experience to provide in-depth feedback to support learning as experienced educators. The article concludes with findings and recommendations for teacher educators who utilize anonymous peer review in teacher preparation for special educators.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135323375","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

Ramsey chains in graphs 图中的拉姆齐链

IF 0.6

International Electronic Journal of Mathematics Education Pub Date : 2023-09-06 DOI: 10.47443/ejm.2023.029

G. Chartrand, Ritabrato Chatterjee, Ping Zhang

{"title":"Ramsey chains in graphs","authors":"G. Chartrand, Ritabrato Chatterjee, Ping Zhang","doi":"10.47443/ejm.2023.029","DOIUrl":"https://doi.org/10.47443/ejm.2023.029","url":null,"abstract":"Let G be a graph with a red-blue coloring c of the edges of G . A Ramsey chain in G with respect to c is a sequence G 1 , G 2 , . . . , G k of pairwise edge-disjoint subgraphs of G such that each subgraph G i ( 1 ≤ i ≤ k ) is monochromatic of size i and G i is isomorphic to a subgraph of G i +1 ( 1 ≤ i ≤ k − 1 ). The Ramsey index AR c ( G ) of G with respect to c is the maximum length of a Ramsey chain in G with respect to c . The Ramsey index AR ( G ) of G is the minimum value of AR c ( G ) among all red-blue colorings c of G . A Ramsey chain with respect to c is maximal if it cannot be extended to one of greater length. The lower Ramsey index AR − c ( G ) of G with respect to c is the minimum length of a maximal Ramsey chain in G with respect to c . The lower Ramsey index AR − ( G ) of G is the minimum value of AR − c ( G ) among all red-blue colorings c of G . Ramsey chains and maximal Ramsey chains are investigated for stars, matchings, and cycles. It is shown that (1) for every two integers p and q with 2 ≤ p < q , there exists a graph with a red-blue coloring possessing a maximal Ramsey chain of length p and a maximum Ramsey chain of length q and (2) for every positive integer k , there exists a graph with a red-blue coloring possessing at least k maximal Ramsey chains of distinct lengths with prescribed conditions. A conjecture and additional results are also presented.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82259725","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

Connected domination number and traceable graphs 连通支配数和可追溯图

IF 0.6

International Electronic Journal of Mathematics Education Pub Date : 2023-09-04 DOI: 10.47443/ejm.2023.027

Phillip Mafuta

引用次数: 1

Weakly (m,n)–semiprime submodules 弱(m,n) -半素子模

IF 0.6

International Electronic Journal of Mathematics Education Pub Date : 2023-07-31 DOI: 10.47443/ejm.2023.017

Mohammed Issoual

引用次数: 0

Taking notes as a strategy for solving reality-based tasks in mathematics 记笔记作为解决数学中基于现实的任务的策略

IF 0.6

International Electronic Journal of Mathematics Education Pub Date : 2023-07-01 DOI: 10.29333/iejme/13312

Lisa-Marie Wienecke, D. Leiss, T. Ehmke

引用次数: 0

Designing mathematics standards in agreement with science 设计符合科学的数学标准

IF 0.6

International Electronic Journal of Mathematics Education Pub Date : 2023-07-01 DOI: 10.29333/iejme/13179

J. Hartman, Sarah Hart, Eric Alan Nelson, P. Kirschner

引用次数: 1

Connections between achievement emotions and covariational reasoning: The case of Valeria 成就情绪与协变推理之间的联系:以瓦莱里娅为例

IF 0.6

International Electronic Journal of Mathematics Education Pub Date : 2023-07-01 DOI: 10.29333/iejme/13180

Cristian Nava Guzmán, M. S. G. García González, Mario Sánchez Aguilar

{"title":"Connections between achievement emotions and covariational reasoning: The case of Valeria","authors":"Cristian Nava Guzmán, M. S. G. García González, Mario Sánchez Aguilar","doi":"10.29333/iejme/13180","DOIUrl":"https://doi.org/10.29333/iejme/13180","url":null,"abstract":"This research explores the link between achievement emotions and covariational reasoning, a type of mathematical reasoning involving two variables. The study employs a case study approach, focusing on a high school calculus student named Valeria, and develops a theoretical framework based on the control-value theory and levels of covariational reasoning. The results reveal that Valeria’s ability to coordinate variables and her perceived importance of solving mathematical problems influence her experience of achievement emotions, including enjoyment and frustration. The case study enables the creation of a hypothetical model that explains how students feel achievement emotions when tackling mathematical tasks that require covariational reasoning. The study highlights the significance of comprehending the interplay between emotions and mathematical reasoning to cultivate advanced cognitive and emotional abilities. This research is essential in bridging the gap between emotions and mathematical reasoning, a topic that has been previously overlooked in research on the affective domain.","PeriodicalId":29770,"journal":{"name":"International Electronic Journal of Mathematics Education","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91231466","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