Mathematics and Education in Mathematics最新文献

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Kolmogorov, stochastics in Bulgaria, and probabilistic problems with unexpected solutions 科尔莫哥罗夫、保加利亚的随机现象和有意外解的概率问题
Mathematics and Education in Mathematics Pub Date : 2024-03-16 DOI: 10.55630/mem.2024.53.180-197
Jordan M. Stoyanov
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引用次数: 0
Simulation study on the offspring mean estimators in discrete time branching processes with migration 带迁移的离散时间分支过程中后代均值估计器的模拟研究
Mathematics and Education in Mathematics Pub Date : 2024-03-16 DOI: 10.55630/mem.2024.53.099-106
Tsvetomira A. Zlatkova, Vesela Stoimenova
{"title":"Simulation study on the offspring mean estimators in discrete time branching processes with migration","authors":"Tsvetomira A. Zlatkova, Vesela Stoimenova","doi":"10.55630/mem.2024.53.099-106","DOIUrl":"https://doi.org/10.55630/mem.2024.53.099-106","url":null,"abstract":"In the present work we consider two widely used definitions of a branching process with migration, related to the controlled branching processes framework, classical and multiple. We simulate the two processes with equal offspring and migration characteristics and estimate the offspring mean via the weighted conditional least squares estimators based on two sampling schemes – on the generation sizes only and the generation sizes and the migration components. We propose a robust modification of the second estimator in the case when several trajectories of the process are observed.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391218","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
Embedded assessment throughout the problem-based learning – a path to authentic learning experiences 将评估贯穿于基于问题的学习中--通往真实学习体验之路
Mathematics and Education in Mathematics Pub Date : 2024-03-16 DOI: 10.55630/mem.2024.53.109-116
Borislava Kirilova
{"title":"Embedded assessment throughout the problem-based learning – a path to authentic learning experiences","authors":"Borislava Kirilova","doi":"10.55630/mem.2024.53.109-116","DOIUrl":"https://doi.org/10.55630/mem.2024.53.109-116","url":null,"abstract":"This article examines the benefits and challenges associated with Problem-Based Learning (PBL) as a teaching and assessment tool, a constructivist approach that promotes a more pragmatic and student-centered mode of assessment. A tangible illustration of the proposed assessment tool is presented. The study aims to analyze different aspects of mathematical competence in line with the European Commission Framework for Lifelong Learning, such as critical thinking, practical application in authentic problems, and more effective knowledge acquisition. Data were collected through direct classroom observations, open-ended questionnaires, surveys, and personal interviews. The methodology was applied to a sample of 60 students from American College of Sofia (ACS) who participated in project work instead of conventional testing. The results of the study revealed that assessing students’ progress through problem-based tasks not only enhances the development of students’ mathematical competencies compared to traditional methods, but also fosters lifelong learning skills.However, this approach requires a more significant time commitment compared to tra- ditional testing.","PeriodicalId":517751,"journal":{"name":"Mathematics and Education in Mathematics","volume":" 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391088","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
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