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Hyland, Diarmaid; O'Shea, Ann – Teaching Mathematics and Its Applications, 2022

In this study, we conducted a survey of all tertiary level institutions in Ireland to find out how many of them use diagnostic tests, and what kind of mathematical content areas and topics appear on these tests. The information gathered provides an insight into what instructors expect students to know on entry to university and what they expect…

Descriptors: Foreign Countries, Diagnostic Tests, Mathematics Tests, College Freshmen

Iannone, Paola; Simpson, Adrian – Teaching Mathematics and Its Applications, 2022

Two previous studies mapping university mathematics students' summative assessment diet in the UK revealed a clear picture. In general, there was a dominance of closed book examinations with a strong relationship to departmental league table position. The decade since then has seen many changes in higher education in the UK, particularly in the…

Descriptors: Foreign Countries, College Students, College Mathematics, Summative Evaluation

Kaur, Tandeep; Prendergast, Mark – Teaching Mathematics and Its Applications, 2022

There have been universal endorsements of the benefits of writing as an effective medium of communicating mathematically. Writing and learning are seen as isomorphic to each other and writing can facilitate the comprehension of mathematical thinking through intrapersonal communication. Through a short writing intervention, this study investigates…

Descriptors: Student Attitudes, Content Area Writing, Mathematics Education, Self Esteem

Lyakhova, Sofya; Joubert, Marie – Teaching Mathematics and Its Applications, 2022

This paper reports on a study set in Wales where the Further Mathematics Support Programme Wales supports the provision of an advanced qualification in mathematics for 16- to 18-year-old students with courses delivered in reduced teaching time. The study aimed to understand how the students experienced the Further Mathematics (FM) courses which…

Descriptors: Foreign Countries, Mathematics Education, Blended Learning, Mathematics Instruction

Kouropatov, Anatoli; Ovodenko, Regina – Teaching Mathematics and Its Applications, 2022

The learning of calculus concepts is considered challenging for students. This claim is actual for calculus in general and for specific concepts in particular. In this paper, we focus on the concept of the inflection point. We argue that one of the roots of this problem is the lack of a useful and productive meaning of the concept--the…

Descriptors: Calculus, Mathematical Concepts, Educational Technology, Technology Uses in Education

Swidan, Osama – Teaching Mathematics and Its Applications, 2022

This study aims at exploring the role of argumentation in the process of shared meaning making that occurs between students as they use digital tools to explore the concept of the indefinite integral. The study followed 11 pairs of 17-year-old students as they worked together to solve the Indefinite Integral Task with the aid of a digital tool.…

Descriptors: Persuasive Discourse, Discourse Analysis, High School Students, Mathematical Logic

Elias, Dafna; Dreyfus, Tommy – Teaching Mathematics and Its Applications, 2022

We investigated how two didactical tools assist high school students in constructing knowledge about convergence and limits. The first tool is manual plotting of the terms of selected sequences, and the second, a technological applet. Student pairs worked in an interview setting on an activity designed for the purpose of this research. The…

Descriptors: High School Students, Mathematical Concepts, Mathematics Instruction, Abstract Reasoning

Bos, Rogier; Doorman, Michiel; Drijvers, Paul; Shvarts, Anna – Teaching Mathematics and Its Applications, 2022

We study the augmented reality sandbox (ARSB) as an embodied learning environment to foster meaning making in the context of bivariable calculus. We present the case of Tiago, a first-year bachelor chemistry student, performing a series of tasks based on embodied design, including perception-based, action-based and incorporation-based tasks.…

Descriptors: Computer Simulation, Calculus, Mathematical Concepts, Thinking Skills

Wangberg, Aaron; Gire, Elizabeth; Dray, Tevian – Teaching Mathematics and Its Applications, 2022

Students need a robust understanding of the derivative for upper-division mathematics and science courses, including thinking about derivatives as ratios of small changes in multivariable and vector contexts. In "Raising Calculus to the Surface" activities, multivariable calculus students collaboratively discover properties of…

Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Introductory Courses

Lyakhova, Sofya; Neate, Andrew – Teaching Mathematics and Its Applications, 2021

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…

Descriptors: Mathematics Education, Transitional Programs, STEM Education, Foreign Countries

Kempen, Leander – Teaching Mathematics and Its Applications, 2021

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…

Descriptors: Peer Teaching, Audience Response Systems, Peer Relationship, College Students

Wijeratne, Chanakya; Zazkis, Rina – Teaching Mathematics and Its Applications, 2021

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…

Descriptors: Mathematical Concepts, Intuition, Misconceptions, Logical Thinking

Mac an Bhaird, Ciarán; Mulligan, Peter; O'Malley, James – Teaching Mathematics and Its Applications, 2021

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…

Descriptors: Mathematics Education, Academic Support Services, Foreign Countries, Web Sites

Griffiths, Barry J.; Shionis, Samantha – Teaching Mathematics and Its Applications, 2021

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…

Descriptors: Algebra, Mathematics Instruction, Student Attitudes, Mathematical Concepts

Mac an Bhaird, Ciarán; McGlinchey, Aisling; Mulligan, Peter; O'Malley, James; O'Neill, Rachel – Teaching Mathematics and Its Applications, 2021

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…

Descriptors: Student Experience, Computer Mediated Communication, Group Activities, Communities of Practice