Teaching Mathematics and Its Applications最新文献

{"title":"Asynchronous online mathematics learning support: an exploration of interaction data to inform future provision","authors":"Linda O'Sullivan;Deirdre Casey;Julie Crowley","doi":"10.1093/teamat/hrab016","DOIUrl":"https://doi.org/10.1093/teamat/hrab016","url":null,"abstract":"Over the past 30 years, higher education institutions (HEIs) worldwide have been grappling with the difficulties experienced by many students entering higher education due to their poor pre-entry core mathematical skills. In the Republic of Ireland and the UK, the provision of mathematics learning support (MLS) is the approach most commonly adopted by HEIs to deal with this problem, providing free one-to-one mathematical support and/or workshops for students. However, despite the availability of such supports and research that suggests that engagement with these supports can have a positive impact on student retention and progression, ensuring high levels of student engagement with these supports remains a significant challenge. In more recent years, some institutions have started to provide online MLS which takes many different forms but mainly provide links to websites, revision notes, past exam papers, etc. In light of the COVID-19 pandemic and the need for many to resort to remote teaching, it would appear the successful provision of online mathematics support is set to become increasingly important over the coming years. This paper will examine student interaction data with one such online MLS provision, hosted within a virtual learning environment. The interaction data will be analysed in order to gain a better understanding of the level of student engagement with this resource and the content most frequently accessed. This analysis will be used to inform the future development and enhancement of the resource so as to encourage student engagement.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50303432","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":"Increasing the effect of a remedial mathematics course by switching to an online format during the COVID-19 crisis: evidence from a German university","authors":"Stefan Büchele;Michael Liebendörfer;Elisa Lankeit","doi":"10.1093/teamat/hrab013","DOIUrl":"https://doi.org/10.1093/teamat/hrab013","url":null,"abstract":"Due to the COVID-19 crisis, many courses have been offered digitally. Using data from n = 1,173 business students participating in a preparatory mathematics course at a German university that covered the same content as in 2018, 2019 and 2020, we examine how students’ participation and the effect of the preparatory course changed. The data show that the participation rate has fallen slightly, but students’ participation is rather similar to preceding years. Interestingly, students have participated more intensively. There are clear signs of dishonesty in the self-test (use of a calculator) and significant changes in predictors of performance. In particular, the effect of students’ engagement in the course on their performance substantially increased. Further, we found a gender gap in performance affecting women. Finally, the data show that digital courses can be as effective as on-campus courses.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50409977","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":"Using peer instruction in an analysis course: a report from the field","authors":"Leander Kempen","doi":"10.1093/teamat/hraa013","DOIUrl":"https://doi.org/10.1093/teamat/hraa013","url":null,"abstract":"This paper is meant to give some kind of manual instruction for the use of audience response systems for performing peer instruction in class. The different aspects one has to take into account when trying to implement this method are presented. In all of the sections, additional links and references are provided. The author reports on and reflects on his individual decisions when conducting peer teaching in an analysis course at the university. Finally, the results of the corresponding evaluation are presented and discussed.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/teamat/hraa013","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50407873","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":"Mathematics support centres’ online presence: provision in Ireland and the UK in 2018","authors":"Ciarán Mac an Bhaird;Peter Mulligan;James O'Malley","doi":"10.1093/teamat/hraa010","DOIUrl":"https://doi.org/10.1093/teamat/hraa010","url":null,"abstract":"Mathematics Support Centres are available in the majority of Higher Education Institutions in Ireland and the UK. Whilst the online presence of these centres appears to be increasing, there is little research to date which considers its breadth or effectiveness. In this paper we consider the results of a survey on the online presence of support centres in Ireland and the UK. We discuss the opportunities that arise from such a presence, the challenges that exist and what the results of the survey mean for individual practitioners and the wider mathematics support community.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/teamat/hraa010","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50407872","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":"Student attitudes towards linear algebra: an attempt to roll back the fog","authors":"Barry J Griffiths;Samantha Shionis","doi":"10.1093/teamat/hraa012","DOIUrl":"https://doi.org/10.1093/teamat/hraa012","url":null,"abstract":"In this study, we look at student perceptions of a first course in linear algebra, focusing on two specific aspects. The first is the statement by Carlson that a fog rolls in once abstract notions such as subspaces, span and linear independence are introduced, while the second investigates statements made by several authors regarding the negative emotions that students can experience during the course. An attempt is made to mitigate this through mediation to include a significant number of applications, while continually dwelling on the key concepts of the subject throughout the semester. The results show that students agree with Carlson's statement, with the concept of a subspace causing particular difficulty. However, the research does not reveal the negative emotions alluded to by other researchers. The students note the importance of grasping the key concepts and are strongly in favour of using practical applications to demonstrate the utility of the theory.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/teamat/hraa012","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50407871","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":"On the classic paradox of infinity and a related function","authors":"Chanakya Wijeratne;Rina Zazkis","doi":"10.1093/teamat/hrab001","DOIUrl":"https://doi.org/10.1093/teamat/hrab001","url":null,"abstract":"In this study we consider a classic paradox of infinity and its variations and suggest how the sources of misleading intuition can be analysed using the concept of uniform convergence of functions. We then examine how six mathematics honour students engage with a variation of the paradox. Despite their advanced mathematical training, the participants experienced considerable difficulty in addressing the presented paradoxical situation. Drawing on data from written responses and individual interviews, we describe the students’ approaches in an attempt to reconcile their intuitive perceptions with their mathematical computations.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50407870","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":"Further Mathematics, student choice and transition to university: part 2—non-mathematics STEM degrees","authors":"Sofya Lyakhova;Andrew Neate","doi":"10.1093/teamat/hrab004","DOIUrl":"https://doi.org/10.1093/teamat/hrab004","url":null,"abstract":"This is the second paper reporting the results of a study investigating student choices of optional post-16 advanced-level (A-level) Mathematics and Further Mathematics qualifications in the UK and their impact on the transition from school to university mathematics. Here, the opinions of non-mathematics Science, Technology, Engineering and Mathematics (STEM) undergraduate students (all of whom had previously studied A-level Mathematics) were accessed via a survey and individual interviews. The study found that Further Mathematics qualifications are perceived as advantageous for non-mathematics STEM degrees by students once they are at university but not when making A-level choices. While the students often perceived mathematics positively, this appears to influence the choice of A-level Mathematics but not Further Mathematics. The lack of support from teachers and parents, the lack of perceived utility of Further Mathematics qualifications and a perception that Further Mathematics is only useful for studying a mathematics degree could all be factors affecting the uptake of Further Mathematics. The identified perceived impact of Further Mathematics on the university transition is linked to studying more pure mathematics which may give students a better understanding of how to apply mathematics in the context of their degree. Some comparisons between the findings in Parts 1 and 2 of the study are included which suggests that the Further Mathematics qualification is better serving students intending to study a non-mathematics STEM degree rather than mathematics itself.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/teamat/hrab004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50299505","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":"Mathematics is different: student and tutor perspectives from Ireland and Australia on online support during COVID-19","authors":"Claire Mullen;Jim Pettigrew;Anthony Cronin;Leanne Rylands;Donald Shearman","doi":"10.1093/teamat/hrab014","DOIUrl":"https://doi.org/10.1093/teamat/hrab014","url":null,"abstract":"","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/iel7/8016818/9690919/09690926.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50303433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Investigating the affordances of a flipped mathematics classroom from an activity theoretical perspective","authors":"Helge Fredriksen","doi":"10.1093/teamat/hraa011","DOIUrl":"https://doi.org/10.1093/teamat/hraa011","url":null,"abstract":"Flipped Classroom as a pedagogical framework has gained popularity at secondary and tertiary levels of mathematics education, but there is a lack of research based on a solid theoretical foundation. This article considers the flipped mathematics classroom from the perspective of affordances and cultural–historical activity theory. The empirical background is based on semi-structured interview data from eight first-year computer-engineering students following 1 year of flipped classroom teaching. The thematic analysis of the data indicates that the flipped format offers a range of affordances at various levels of the activity system. This article advances research on affordances for mathematical learning in a flipped classroom pedagogical frame, presenting operational affordances out-of-class, action affordances at the mathematical task level and finally activity affordances at the collective level.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/iel7/8016818/9426468/09519187.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50423627","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Maths Sparks engagement programme: investigating the impact on under-privileged pupils’ attitudes towards mathematics","authors":"Aoibhinn Ni Shuilleabhain;Anthony Cronin;Mark Prendergast","doi":"10.1093/teamat/hraa009","DOIUrl":"https://doi.org/10.1093/teamat/hraa009","url":null,"abstract":"In this paper we explore the attitudes of under-privileged secondary school pupils in Ireland towards mathematics and investigate the impact of attending a 4-week engagement programme on these attitudes. The pupils involved in this research attended schools recognized by the Department of Education & Skills as socio-economically deprived. Pupils attending these schools, known as Delivering Equality of Opportunity in Schools (DEIS), are 40% less likely than their counterparts in non-DEIS schools to pursue mathematics at a higher level in state examinations (Smyth, E., Mccoy, S. & Kingston, G., 2015, Learning From the Evaluation of DEIS. Dublin: Economic and Social Research Institute). However, little research has reported on these pupils’ experiences of and attitudes towards mathematics at senior secondary level. An engagement programme entitled ‘Maths Sparks’ was purposefully designed for secondary pupils from DEIS schools, with the aim of positively influencing their attitudes towards and confidence in mathematics. The programme consisted of weekly out-of-school workshops exploring extra-curricular mathematics topics, designed and delivered by undergraduate mathematics students. Questionnaires were utilized to evaluate pupils’ attitudes towards mathematics before and after their participation in the programme. Despite its relatively short time frame, qualitative and quantitative analysis suggests an increase in participating pupils’ attitudes towards, enjoyment of and self-confidence in mathematics due to their participation in the programme. Findings also suggest that while these pupils liked the subject of mathematics, their experience of learning the subject in school was not always positive and was sometimes hindered by the absence of higher-level mathematics as an option in school. The high-stakes examination content and teachers’ beliefs in the ability of their students also sometimes negatively impacted learners’ intentions to pursue mathematics at a higher level. Findings suggest that longitudinal mathematics engagement programmes, which focus on problem solving, involve extra-curricular mathematical concepts and are presented by undergraduate mathematics students, may provide a valuable way of positively impacting pupils’ intentions to pursue the subject.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2020-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1093/teamat/hraa009","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50423629","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}