Claire Mullen, Anthony Cronin, J. Pettigrew, Donald Shearman, Leanne J. Rylands
{"title":"Optimising the blend of in-person and online mathematics support: the student perspective","authors":"Claire Mullen, Anthony Cronin, J. Pettigrew, Donald Shearman, Leanne J. Rylands","doi":"10.1080/0020739x.2023.2226153","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2226153","url":null,"abstract":"","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42410092","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 the Lean interactive theorem prover in undergraduate mathematics","authors":"Xiaoheng Yan, G. Hanna","doi":"10.1080/0020739x.2023.2227191","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2227191","url":null,"abstract":"","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47110075","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 negative exponential transformation: a linear algebraic approach to the Laplace transform","authors":"W. Lee","doi":"10.1080/0020739x.2023.2219262","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2219262","url":null,"abstract":"","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44189628","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":"Euler polynomials and alternating sums of powers of integers","authors":"J. Cereceda","doi":"10.1080/0020739X.2022.2074904","DOIUrl":"https://doi.org/10.1080/0020739X.2022.2074904","url":null,"abstract":"In this note, we consider the alternating sum of the mth powers of the first n positive integers . In 1989, Gessel and Viennot showed that, for even m = 2k, can be expressed as a polynomial of degree k in the triangular number without constant term. Here, we offer an alternative demonstration of this result that can be made suitable for first-year undergraduate students by using some basic properties of the Euler numbers and polynomials. We also give the corresponding closed formula for in the case of odd powers m = 2k + 1. In addition, we express both and as polynomials in n and give their coefficients in terms of the Bernoulli numbers. Finally, we give yet another representation for and involving the Stirling numbers of the second kind.","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":"54 1","pages":"1132 - 1145"},"PeriodicalIF":0.9,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45707121","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}
Y. F. Zakariya, Hans Kristian Nilsen, Kirsten Bjørkestøl, S. Goodchild
{"title":"Analysis of relationships between prior knowledge, approaches to learning, and mathematics performance among engineering students","authors":"Y. F. Zakariya, Hans Kristian Nilsen, Kirsten Bjørkestøl, S. Goodchild","doi":"10.1080/0020739X.2021.1984596","DOIUrl":"https://doi.org/10.1080/0020739X.2021.1984596","url":null,"abstract":"Approaches to learning have been identified as crucial factors that influence students’ mathematics performance. However, there have been mixed findings on which of the different approaches improve performance in undergraduate mathematics. Thus, this study aimed to unravel the specific effects of prior mathematics knowledge and approaches to learning on performance in mathematics among first-year engineering students. The design is cross-sectional, and the data are analysed with some structural equation modelling techniques. The findings show a positive effect of prior mathematics knowledge on performance. The effect of surface approaches to learning on performance is significant, negative, and surface approaches to learning mediate the effect of prior mathematics knowledge on performance. There are no substantial relations between prior mathematics knowledge, deep approaches to learning, and performance. Students who adopt surface approaches performed poorly but we found no evidence to claim that students who adopt deep approaches perform better in the course. By implication, our findings underscore the importance of discouraging engineering students from capitalizing on surface approaches to learning mathematics.","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":"54 1","pages":"1015 - 1033"},"PeriodicalIF":0.9,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46200184","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":"Algebra discourses in mathematics and physics textbooks: comparing the use of algebraic symbols","authors":"Helena Johansson, Magnus Österholm","doi":"10.1080/0020739x.2023.2226154","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2226154","url":null,"abstract":"","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43184821","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":"Irrationality via base-b representation: an alternative proof of Gauss's lemma","authors":"G. Vincenzi","doi":"10.1080/0020739x.2023.2217690","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2217690","url":null,"abstract":"","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46414589","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":"Soup-to-nuts modelling of a falling column of water","authors":"B. Winkel","doi":"10.1080/0020739x.2023.2214560","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2214560","url":null,"abstract":"","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43649504","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":"Issue 54-7: Covers and Table of Contents","authors":"","doi":"10.1080/0020739x.2023.2218728","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2218728","url":null,"abstract":"","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":" ","pages":"i - iii"},"PeriodicalIF":0.9,"publicationDate":"2023-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47965527","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}
Amanda J. Shaker, Christopher Brignell, Mathew Pugh
{"title":"The effect of incentivising pre-class reading on engagement and student performance","authors":"Amanda J. Shaker, Christopher Brignell, Mathew Pugh","doi":"10.1080/0020739x.2023.2214562","DOIUrl":"https://doi.org/10.1080/0020739x.2023.2214562","url":null,"abstract":"A commonly-held belief is that many university students are ‘assessment-driven’; that is, students engage more with activities that are assessed compared with those that are not. ‘Incentivised engagement’ includes the practice of providing incentives (such as marks or otherwise) for students to engage in particular activities. Perusall is a social annotation platform designed to increase student engagement with pre-class reading. In this study, students in a second-year undergraduate Statistics for Engineering module were invited to carry out the weekly reading activity via the Perusall platform. During the first half of the semester, students’ engagement via Perusall did not count towards student marks, whereas during the second half of the semester, it did. We present the estimated effect of incentivised engagement, via use of the Perusall platform, on student engagement and performance. Our results show that incentivisation increased the engagement of students who were previously less engaged with the pre-class reading. For those students who were previously less engaged and had lower performance in summative assessments, there was also an increase in student performance following incentivisation. However, this effect was not observed for students who were already performing well before incentivisation.","PeriodicalId":14026,"journal":{"name":"International Journal of Mathematical Education in Science and Technology","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135690622","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}