Abstract We present the findings from our inquiry conducted between spring 2019 and spring 2020. It focused on women and students from underrepresented or marginalized populations as they navigated moments in their transition from school to university mathematics, or the secondary-tertiary transition (STT) in mathematics. We draw on Di Martino & Zan’s (2010) three-dimensional model of attitude (TMA), in which they reify the role of various affective factors of the STT. We used this model to capture the three affective dimensions of the STT: students’ vision of mathematics, their perceived competence in mathematics and their emotional disposition toward mathematics. Our qualitative data included participant interviews, surveys, seminar reflection diaries, seminar recordings and other student artifacts gathered from seminar sessions. In our research, we found differences and commonalities with regard to these three dimensions of the TMA between students who pursued a pure mathematics (PM) degree and those who pursued a combined degree in PM and secondary mathematics teaching (SMT) in the USA. We discuss future directions that can aid women and other historically marginalized students in navigating during STT.
我们介绍了2019年春季至2020年春季进行的调查结果。它关注的是女性和来自代表性不足或边缘化群体的学生，他们正在从中学数学过渡到大学数学，或数学的中学到大学过渡(STT)。我们借鉴了Di Martino &Zan(2010)的三维态度模型(three-dimensional model of attitude, TMA)，他们将各种情感因素在STT中的作用具体化。我们使用这个模型来捕捉STT的三个情感维度:学生的数学视野、他们的数学感知能力和他们对数学的情感倾向。我们的定性数据包括参与者访谈、调查、研讨会反思日记、研讨会录音和其他从研讨会中收集的学生文物。在我们的研究中，我们发现在美国攻读纯数学(PM)学位的学生和攻读PM和中学数学教学(SMT)联合学位的学生之间，TMA的这三个维度存在差异和共同点。我们讨论了未来的方向，可以帮助女性和其他历史上被边缘化的学生在STT期间导航。
{"title":"Identifying emergent themes of students’ transition to university mathematics: a qualitative inquiry with a focus on affective factors","authors":"Seyda Uysal, Kathleen Michelle Clark","doi":"10.1093/teamat/hrad006","DOIUrl":"https://doi.org/10.1093/teamat/hrad006","url":null,"abstract":"Abstract We present the findings from our inquiry conducted between spring 2019 and spring 2020. It focused on women and students from underrepresented or marginalized populations as they navigated moments in their transition from school to university mathematics, or the secondary-tertiary transition (STT) in mathematics. We draw on Di Martino & Zan’s (2010) three-dimensional model of attitude (TMA), in which they reify the role of various affective factors of the STT. We used this model to capture the three affective dimensions of the STT: students’ vision of mathematics, their perceived competence in mathematics and their emotional disposition toward mathematics. Our qualitative data included participant interviews, surveys, seminar reflection diaries, seminar recordings and other student artifacts gathered from seminar sessions. In our research, we found differences and commonalities with regard to these three dimensions of the TMA between students who pursued a pure mathematics (PM) degree and those who pursued a combined degree in PM and secondary mathematics teaching (SMT) in the USA. We discuss future directions that can aid women and other historically marginalized students in navigating during STT.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"180 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135098803","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}
Math modeling is a unique and powerful part of mathematics that is underutilized in contemporary classrooms. Teachers of all grade levels may utilize such modeling problems to better serve the students in their classrooms, with related analytical problem-solving activities that contribute to learners meeting the highest of learning standards. With a continued focus within mathematics education on critical thinking, creativity, disciplinary literacy and college/career readiness, math modeling is at the forefront of research-tested methods to develop these crucial skills. This is an important direction mathematics education that needs to go in order to prepare students for the future.
{"title":"Mathematical modeling: a study of multidisciplinary benefits in the math classroom","authors":"Richard Luczak, Rob Erwin","doi":"10.1093/teamat/hrac021","DOIUrl":"https://doi.org/10.1093/teamat/hrac021","url":null,"abstract":"Math modeling is a unique and powerful part of mathematics that is underutilized in contemporary classrooms. Teachers of all grade levels may utilize such modeling problems to better serve the students in their classrooms, with related analytical problem-solving activities that contribute to learners meeting the highest of learning standards. With a continued focus within mathematics education on critical thinking, creativity, disciplinary literacy and college/career readiness, math modeling is at the forefront of research-tested methods to develop these crucial skills. This is an important direction mathematics education that needs to go in order to prepare students for the future.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138530658","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}
There is a growing attention around the preparation of pre-service teachers (PSTs) as both learners and teachers of mathematical modeling. Current literature focuses on preparing PSTs as learners of modeling, and we extend current work by examining how PSTs integrate their understanding of modeling into the work of teaching. This study follows two groups of PSTs, concurrently enrolled in a modeling course and a secondary methods of teaching course, as they completed a joint unit of instruction in which they designed, refined and enacted a modeling lesson in a secondary classroom. We explore how PSTs build understanding across learning opportunities with respect to four modeling competencies: theoretical, task related, teaching and diagnostic. Our findings indicate that PSTs were able to grow across all four competencies. Theoretical competencies developed from time spent working with modeling tasks as learners and working collaboratively with instructors and peers. Task related and teaching competencies took time to develop as PSTs often wrestled with their conceptions of modeling as learners with existing conceptions of teaching and task design. Diagnostic competencies developed from structured time to reflect on lesson enactment and changes that could be made to best support student learning. Overall, we found that PSTs benefit from engaging in modeling tasks as learners and in enacting components of teaching modeling lessons.
{"title":"Investigating secondary pre-service teachers as teachers and learners of mathematical modeling","authors":"Megan H Wickstrom;Elizabeth G Arnold","doi":"10.1093/teamat/hrab031","DOIUrl":"https://doi.org/10.1093/teamat/hrab031","url":null,"abstract":"There is a growing attention around the preparation of pre-service teachers (PSTs) as both learners and teachers of mathematical modeling. Current literature focuses on preparing PSTs as learners of modeling, and we extend current work by examining how PSTs integrate their understanding of modeling into the work of teaching. This study follows two groups of PSTs, concurrently enrolled in a modeling course and a secondary methods of teaching course, as they completed a joint unit of instruction in which they designed, refined and enacted a modeling lesson in a secondary classroom. We explore how PSTs build understanding across learning opportunities with respect to four modeling competencies: theoretical, task related, teaching and diagnostic. Our findings indicate that PSTs were able to grow across all four competencies. Theoretical competencies developed from time spent working with modeling tasks as learners and working collaboratively with instructors and peers. Task related and teaching competencies took time to develop as PSTs often wrestled with their conceptions of modeling as learners with existing conceptions of teaching and task design. Diagnostic competencies developed from structured time to reflect on lesson enactment and changes that could be made to best support student learning. Overall, we found that PSTs benefit from engaging in modeling tasks as learners and in enacting components of teaching modeling lessons.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"42 1","pages":"86-107"},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50297129","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}
Evaluation has become a common, and even an expected, practice across undergraduate mathematics tutoring centres in the USA, UK and other countries. However, these evaluation efforts could benefit greatly from leveraging organizational theory research. In this study, we situate mathematics tutoring centres as non-profit organizations (NPOs) to consider how an organization performance assessment framework can be adapted to study mathematics tutoring centre data and characteristics. We use qualitative and quantitative data, collected from six mathematics tutoring centres and adapt Lee & Nowell's (2015, Am. J. Eval., 36, 299–319) NPO performance framework to situate our study. Using thematic analysis, the research team underwent iterative cycles of data collection and analysis to code for alignment with Lee and Nowell's framework. By adapting Lee and Nowell's framework to mathematics centres, each of the six centres was given a more relevant lens to consider its performance. Regardless of the university setting, previous evaluations for centres have focused primarily on outputs (e.g., number of visits), behavioural change outcomes (e.g., correlating visits to grades) and client satisfaction outcomes (e.g., student surveys) that ignore the particular context of a centre. However, Lee and Nowell's framework takes into account additional performance indicators that provide a more nuanced understanding of a centre's performance by bringing to light the interplay among its various dimensions. Lee and Nowell's framework allows centres to look beyond outputs and outcomes to understand why these outputs and outcomes come to be. The use of this adapted performance framework, for the six mathematics centres in this study, allows an interpretation on a variety of dimensions using relevant data while indicating possible areas for change for each centre.
{"title":"Performance assessment for mathematics tutoring centres","authors":"Carolyn Johns;Cameron Byerley;Deborah Moore-Russo;Brian Rickard;Janet Oien;Linda Burks;Carolyn James;Melissa Mills;William Heasom;Melissa Ferreira;Behailu Mammo","doi":"10.1093/teamat/hrab032","DOIUrl":"https://doi.org/10.1093/teamat/hrab032","url":null,"abstract":"Evaluation has become a common, and even an expected, practice across undergraduate mathematics tutoring centres in the USA, UK and other countries. However, these evaluation efforts could benefit greatly from leveraging organizational theory research. In this study, we situate mathematics tutoring centres as non-profit organizations (NPOs) to consider how an organization performance assessment framework can be adapted to study mathematics tutoring centre data and characteristics. We use qualitative and quantitative data, collected from six mathematics tutoring centres and adapt Lee & Nowell's (2015, Am. J. Eval., 36, 299–319) NPO performance framework to situate our study. Using thematic analysis, the research team underwent iterative cycles of data collection and analysis to code for alignment with Lee and Nowell's framework. By adapting Lee and Nowell's framework to mathematics centres, each of the six centres was given a more relevant lens to consider its performance. Regardless of the university setting, previous evaluations for centres have focused primarily on outputs (e.g., number of visits), behavioural change outcomes (e.g., correlating visits to grades) and client satisfaction outcomes (e.g., student surveys) that ignore the particular context of a centre. However, Lee and Nowell's framework takes into account additional performance indicators that provide a more nuanced understanding of a centre's performance by bringing to light the interplay among its various dimensions. Lee and Nowell's framework allows centres to look beyond outputs and outcomes to understand why these outputs and outcomes come to be. The use of this adapted performance framework, for the six mathematics centres in this study, allows an interpretation on a variety of dimensions using relevant data while indicating possible areas for change for each centre.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"42 1","pages":"1-29"},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50296569","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}
The research reported in this article sought to develop a taxonomy of grade 11 students’ levels of understanding in algebraic problem-solving tasks. The student sample was from high schools in the province of Ontario in Canada. Problems from four areas in algebra namely, variables, expressions, equations and word problems were chosen to be represented in the test paper. A six-level taxonomy was constructed by analyzing the structure of students’ written responses and their subsequent interview transcripts. The first three levels of the taxonomy belong to the application of lower level thinking skills while the last two levels belong to the application of higher level thinking skills. The taxonomy serves two purposes. Teachers can use it for formulating objectives in classroom teaching, and they can also use it as an evaluation tool in constructing assessment items.
{"title":"A taxonomy of high school students’ levels of understanding in solving algebraic problems","authors":"Gunawardena Egodawatte","doi":"10.1093/teamat/hrac004","DOIUrl":"https://doi.org/10.1093/teamat/hrac004","url":null,"abstract":"The research reported in this article sought to develop a taxonomy of grade 11 students’ levels of understanding in algebraic problem-solving tasks. The student sample was from high schools in the province of Ontario in Canada. Problems from four areas in algebra namely, variables, expressions, equations and word problems were chosen to be represented in the test paper. A six-level taxonomy was constructed by analyzing the structure of students’ written responses and their subsequent interview transcripts. The first three levels of the taxonomy belong to the application of lower level thinking skills while the last two levels belong to the application of higher level thinking skills. The taxonomy serves two purposes. Teachers can use it for formulating objectives in classroom teaching, and they can also use it as an evaluation tool in constructing assessment items.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"42 1","pages":"30-51"},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50296568","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}
This study provides a framework for explaining the way individuals might construct the final result of infinite iterative processes in a geometrical context. To this end, 30 undergraduate students were interviewed. The analysis of the data collected yielded two different views: first, there were those who believed that the presented infinite iterative processes will have to end because nothing else could be imagined; second, there were those who claimed that the processes will not end because assuming that a final result will fall out of processes would be paradoxical. In this regard, this study demonstrates how some related paradoxes in a geometrical context can be interpreted, by analyzing their potential sources, within the proposed framework.
{"title":"Construction of the final results of infinite iterative processes in individuals’ mind in a geometrical context","authors":"Ali Barahmand","doi":"10.1093/teamat/hrac001","DOIUrl":"https://doi.org/10.1093/teamat/hrac001","url":null,"abstract":"This study provides a framework for explaining the way individuals might construct the final result of infinite iterative processes in a geometrical context. To this end, 30 undergraduate students were interviewed. The analysis of the data collected yielded two different views: first, there were those who believed that the presented infinite iterative processes will have to end because nothing else could be imagined; second, there were those who claimed that the processes will not end because assuming that a final result will fall out of processes would be paradoxical. In this regard, this study demonstrates how some related paradoxes in a geometrical context can be interpreted, by analyzing their potential sources, within the proposed framework.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"42 1","pages":"65-85"},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50297130","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 agreement with the main tenets of the anthropological theory of the didactic (ATD), this study uncovers dependencies between what students can learn, the established curriculum and the current state of mathematicians’ mathematics (‘scholarly mathematics’). One main result is that the mathematics taught, too often taken for granted by curriculum developers and teachers, is in fact problematic not only to students but also to teachers and curriculum developers and is sometimes a challenge even to current scholarly mathematics. The mathematics taught during a given historical period within a given institution contains flaws that, when they cease to go unnoticed, generate crises, in the form of breaches of the prevailing didactic contract. The resolution of these crises allows the institution and its actors—in particular students and teachers—to learn new contents and often also leads to the more or less damaging unlearning of old contents. This key phenomenon is illustrated, at the triple level of the classroom, the curriculum and scholarly mathematics, with regard to elementary algebra and mathematical analysis, most importantly in the case of maxima and minima problems.
{"title":"Breaches of the didactic contract as a driving force behind learning and non-learning: a story of flaws and wants","authors":"Heidi Strømskag;Yves Chevallard","doi":"10.1093/teamat/hrac003","DOIUrl":"https://doi.org/10.1093/teamat/hrac003","url":null,"abstract":"In agreement with the main tenets of the anthropological theory of the didactic (ATD), this study uncovers dependencies between what students can learn, the established curriculum and the current state of mathematicians’ mathematics (‘scholarly mathematics’). One main result is that the mathematics taught, too often taken for granted by curriculum developers and teachers, is in fact problematic not only to students but also to teachers and curriculum developers and is sometimes a challenge even to current scholarly mathematics. The mathematics taught during a given historical period within a given institution contains flaws that, when they cease to go unnoticed, generate crises, in the form of breaches of the prevailing didactic contract. The resolution of these crises allows the institution and its actors—in particular students and teachers—to learn new contents and often also leads to the more or less damaging unlearning of old contents. This key phenomenon is illustrated, at the triple level of the classroom, the curriculum and scholarly mathematics, with regard to elementary algebra and mathematical analysis, most importantly in the case of maxima and minima problems.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"42 1","pages":"52-64"},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/iel7/8016818/10068361/10068365.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50407260","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}
Mathematics and statistics support (MSS) is now firmly embedded in the learning and teaching infra-structure of most UK universities and in many universities worldwide. In common with other higher education activities, in response to restrictions put in place to reduce the spread of Covid-19, MSS transitioned rapidly to online delivery in spring 2020. This paper reports on thinking within the practitioner community about good practice in the delivery of online MSS. A two-phase approach was used to collect this shared wisdom: an initial questionnaire in May 2020 (just after provision had moved online) and interviews with practitioners in January/February 2021 after colleagues had some experience in online provision and had had the opportunity to reflect on and modify the measures hastily put in place in spring 2020. The focus of the study is not only on what is currently being provided but also on what MSS will look like once all pandemic related restrictions have been ended. The overall feeling of the participants is that face-to-face MSS will return as the dominant form of delivery but that the benefits of online provision are such that a significant minority of provision will remain in this form.
{"title":"‘Everyone seems to be agreeing at the minute that face-to-face is the way forward’: practitioners’ perspectives on post-pandemic mathematics and statistics support","authors":"Holly Gilbert;Mark Hodds;Duncan Lawson","doi":"10.1093/teamat/hrab019","DOIUrl":"https://doi.org/10.1093/teamat/hrab019","url":null,"abstract":"Mathematics and statistics support (MSS) is now firmly embedded in the learning and teaching infra-structure of most UK universities and in many universities worldwide. In common with other higher education activities, in response to restrictions put in place to reduce the spread of Covid-19, MSS transitioned rapidly to online delivery in spring 2020. This paper reports on thinking within the practitioner community about good practice in the delivery of online MSS. A two-phase approach was used to collect this shared wisdom: an initial questionnaire in May 2020 (just after provision had moved online) and interviews with practitioners in January/February 2021 after colleagues had some experience in online provision and had had the opportunity to reflect on and modify the measures hastily put in place in spring 2020. The focus of the study is not only on what is currently being provided but also on what MSS will look like once all pandemic related restrictions have been ended. The overall feeling of the participants is that face-to-face MSS will return as the dominant form of delivery but that the benefits of online provision are such that a significant minority of provision will remain in this form.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"40 4","pages":"296-316"},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50303431","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}
The 2019/20 Level 4 mathematics cohort at the Nottingham Trent University sat a full set of mid-year assessments in January 2020 under completely normal circumstances. However, the Covid-19 lockdown meant that their end of year assessments, along with all of their teaching and learning from March 2020 onwards, moved fully online. This has given us a unique opportunity to understand how the same cohort perform in contrasting situations. In this study we consider the issue of attainment gaps and find that the attainment gap closed in this cohort for black and minority ethnic students but that students from a lower socio-economic background may have been put at a disadvantage by the move to online teaching, learning and assessment. We use a linear mixed effect models approach to present statistical evidence to support these two claims as well as investigating the specific aspects of the move online, which may have caused these results.
{"title":"Levelling the playing field in assessment: an analysis of attainment gaps for widening participation, black and minority ethnic mathematics undergraduates before and after the COVID-19 lockdown","authors":"L M Shaw;M R Tranter","doi":"10.1093/teamat/hrab024","DOIUrl":"10.1093/teamat/hrab024","url":null,"abstract":"The 2019/20 Level 4 mathematics cohort at the Nottingham Trent University sat a full set of mid-year assessments in January 2020 under completely normal circumstances. However, the Covid-19 lockdown meant that their end of year assessments, along with all of their teaching and learning from March 2020 onwards, moved fully online. This has given us a unique opportunity to understand how the same cohort perform in contrasting situations. In this study we consider the issue of attainment gaps and find that the attainment gap closed in this cohort for black and minority ethnic students but that students from a lower socio-economic background may have been put at a disadvantage by the move to online teaching, learning and assessment. We use a linear mixed effect models approach to present statistical evidence to support these two claims as well as investigating the specific aspects of the move online, which may have caused these results.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"40 4","pages":"497-505"},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/iel7/8016818/9690919/09690954.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43247181","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}
We investigated university students’ study of mathematics in the digital setting context of the COVID-19 pandemic. We gathered data from a survey of 89 students enrolled in a ‘Linear Algebra 1’ course including affective variables, learning strategies, social relatedness and resources considered useful. The results indicate students’ high effort and self-regulation and a high variation in affective characteristics and social relatedness. All the traditional aspects of mathematics teaching (lecture, tutorials and lecture notes) were rated as particularly useful. In addition, the videos from external resources were rated as equally useful as the teaching team’s videos. In contrast, traditional literature such as textbooks was rarely considered useful. The most useful resource rated was communication with peers, underlining the important role of social learning despite fully digital learning environments. Finally, a cluster analysis based on students’ rated usefulness of the resources led to three different user-types. Whereas the ‘digitals’ find the external digital resources very useful (videos, webpages, etc.), the ‘traditionalists’ rate the digitalized traditional resources best (lecture, tutorials, etc.). All resources receive uniformly good ratings from a third group (‘all resource users’). We reflect on our findings in light of the pandemic and describe directions for future research.
{"title":"University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics","authors":"Leander Kempen;Michael Liebendörfer","doi":"10.1093/teamat/hrab020","DOIUrl":"https://doi.org/10.1093/teamat/hrab020","url":null,"abstract":"We investigated university students’ study of mathematics in the digital setting context of the COVID-19 pandemic. We gathered data from a survey of 89 students enrolled in a ‘Linear Algebra 1’ course including affective variables, learning strategies, social relatedness and resources considered useful. The results indicate students’ high effort and self-regulation and a high variation in affective characteristics and social relatedness. All the traditional aspects of mathematics teaching (lecture, tutorials and lecture notes) were rated as particularly useful. In addition, the videos from external resources were rated as equally useful as the teaching team’s videos. In contrast, traditional literature such as textbooks was rarely considered useful. The most useful resource rated was communication with peers, underlining the important role of social learning despite fully digital learning environments. Finally, a cluster analysis based on students’ rated usefulness of the resources led to three different user-types. Whereas the ‘digitals’ find the external digital resources very useful (videos, webpages, etc.), the ‘traditionalists’ rate the digitalized traditional resources best (lecture, tutorials, etc.). All resources receive uniformly good ratings from a third group (‘all resource users’). We reflect on our findings in light of the pandemic and describe directions for future research.","PeriodicalId":44578,"journal":{"name":"Teaching Mathematics and Its Applications","volume":"40 4","pages":"436-454"},"PeriodicalIF":0.8,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50302573","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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