Jonathan Gillard;Claire Ketnor;Ciarán Mac an Bhaird;Cathy Smith
{"title":"Special issue editorial: restarting the new normal","authors":"Jonathan Gillard;Claire Ketnor;Ciarán Mac an Bhaird;Cathy Smith","doi":"10.1093/teamat/hrab026","DOIUrl":"https://doi.org/10.1093/teamat/hrab026","url":null,"abstract":"","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"40 4","pages":"249-253"},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50303428","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":"How and why? Technology and practices used by university mathematics lecturers for emergency remote teaching during the COVID-19 pandemic","authors":"Eabhnat Ní Fhloinn;Olivia Fitzmaurice","doi":"10.1093/teamat/hrab018","DOIUrl":"https://doi.org/10.1093/teamat/hrab018","url":null,"abstract":"The COVID-19 pandemic led to closures of university campuses around the world from March 2020 onwards. With little or no time for preparation, lecturers turned to emergency remote teaching to continue to educate their students. Online mathematics education poses particular challenges in terms of both the hardware and software necessary for effective teaching, due to issues with mathematical symbols and notation, among others. In this paper, we report upon an online survey of 257 university mathematics lecturers across 29 countries, which explores what hardware and software they used for emergency remote teaching, for what purposes they used these and what training and support were made available to them at the time. We also consider what approaches they took to emergency remote teaching and what were their reasons for this.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"40 4","pages":"392-416"},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/iel7/8016818/9690919/09690929.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50409975","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}
Ciarán Mac an Bhaird;Aisling McGlinchey;Peter Mulligan;James O'Malley;Rachel O'Neill
{"title":"Student experiences of online study groups and drop-in mathematics support during COVID-19","authors":"Ciarán Mac an Bhaird;Aisling McGlinchey;Peter Mulligan;James O'Malley;Rachel O'Neill","doi":"10.1093/teamat/hrab010","DOIUrl":"https://doi.org/10.1093/teamat/hrab010","url":null,"abstract":"In this paper, we consider the changes to mathematics learning support (MLS) at Maynooth University due to the COVID-19 pandemic, including the provision of novel online study groups aimed at increasing student engagement and interaction. We briefly outline the local, national and international impact of COVID-19 on MLS and then focus on the results of a student survey. Respondents who regularly used online MLS were broadly positive about their experiences. They cited, in particular, the influence of tutors and the scheduled study groups, which provided structure and motivation as well as the opportunity to work with others and ask questions in less intimidating small groups. However, some respondents highlighted factors that impacted negatively on their engagement. These included low attendance or interaction from peers, timetabling issues or busy schedules, lack of awareness of the details of the services and increased feelings of discomfort and anxiety in an online environment. We consider how this student feedback may influence our future online and in-person supports.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"40 4","pages":"356-373"},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50303434","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":"The early impact of the COVID-19 pandemic on mathematical competencies on entry into a UK university","authors":"Mark Hodds","doi":"10.1093/teamat/hrab021","DOIUrl":"https://doi.org/10.1093/teamat/hrab021","url":null,"abstract":"Students from England and Wales had their A-level results in 2020 decided by a ‘triple lock’ system as traditional examinations were cancelled due to the pandemic. Therefore, there was a fear that students were either being unfairly judged (Arden University 2020) or would enter university with a reduced understanding of concepts leading to an increase in drop-out rates (Staton, 2020). To measure mathematical ability, diagnostic testing is used at universities. This is now a well-established practice that supports students and their lecturers in discovering areas of mathematical strength and weakness upon entry to a course (Lawson, 2003; Hodds, Shao, and Lawson, 2020). This article compares the entry competencies of students arriving at one UK university in October 2020 with those who entered in previous years, using the same diagnostic test taken by all students as the method for comparison. Students who received their A levels in the year of entry are also compared to those who entered with A levels from years prior, allowing for a fair comparison of students in 2020 in particular. Furthermore, the abilities of students at different A-level grades are also compared. The results showed that students in 2020 appear not to be disadvantaged by the issues caused by the pandemic. On the contrary, many students outperformed colleagues who had summative assessment prior to 2020.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"40 4","pages":"254-262"},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50410010","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}
Rachel Hilliam;Derek Goldrei;Gaynor Arrowsmith;Alexander Siddons;Cath Brown
{"title":"Mathematics and statistics distance learning: more than just online teaching","authors":"Rachel Hilliam;Derek Goldrei;Gaynor Arrowsmith;Alexander Siddons;Cath Brown","doi":"10.1093/teamat/hrab012","DOIUrl":"https://doi.org/10.1093/teamat/hrab012","url":null,"abstract":"At the Open University, where students learn online and at a distance, the School of Mathematics and Statistics has for many years provided innovative ways of supporting students outside the ‘classroom’ environment so was well prepared to support students during the COVID-19 pandemic. These forms of support include online forums to help students with module choice and taster resources including diagnostic quizzes for students to self-assess their readiness to study individual modules and receive targeted support. Since 2017, these resources, and more, have been incorporated into a multi-functional student-facing website. The website enables all units, both academic and non-academic, to provide consistent academic, pastoral and social support to students studying mathematics and statistics modules online. By focusing on the different stages of a student’s journey, the website provides a one-stop shop for students to self-serve and obtain appropriate support at each point in their own student lifecycle. Data gathered on the frequency of use of the website, together with the results from staff and student questionnaires, have provided insight into how students and staff use the website. The evaluation highlights the need for clear signposting to such resources. In addition, the wide range of resources which enable students to make informed module choices is shown to be particularly important for staff who provide pastoral and academic support to students.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"40 4","pages":"374-391"},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/iel7/8016818/9690919/09690928.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50302571","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":"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":"40 4","pages":"317-331"},"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":"40 4","pages":"478-496"},"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":"40 3","pages":"234-248"},"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}
Ciarán Mac an Bhaird;Peter Mulligan;James O'Malley
{"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":"40 3","pages":"190-209"},"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":"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":"40 3","pages":"167-181"},"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}