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Duffin, Lisa C.; Keith, Hannah B.; Rudloff, Melissa I.; Cribbs, Jennifer D. – International Journal of Research in Undergraduate Mathematics Education, 2020

College algebra has been noted as a critical course in post-secondary institutions because it serves as a gateway for major selection and college completion. Combinatorial topics like repeatable permutations are often overlooked in K-12 and undergraduate curricula. Likewise, students' achievement and motivation are affected by the type of…

Descriptors: College Mathematics, Algebra, Undergraduate Study, Inquiry

Visscher, Daniel; White, Nina – International Journal of Research in Undergraduate Mathematics Education, 2020

We present a validation study of fifteen new math anxiety scale items designed to augment the widely-used Revised Mathematics Anxiety Scale (RMARS). While the RMARS and other standard instruments measure students' anxiety in response to computation, test situations, and math course activities such as buying a textbook or watching a lecture, the…

Descriptors: Mathematics Anxiety, Test Validity, College Mathematics, College Students

Kanwal, Shaista – International Journal of Research in Undergraduate Mathematics Education, 2020

Online learning environments are being used for teaching and learning of mathematics at university level. Exploiting the potential of digital technology, these Internet-based environments administer computer-generated homework, assistance and feedback for students. This article presents a case-study of a small group of ?undergraduate engineering…

Descriptors: Affordances, Online Courses, Case Studies, Electronics

Dawkins, Paul Christian; Roh, Kyeong Hah – International Journal of Research in Undergraduate Mathematics Education, 2020

This study compares the relative influence of syntax, semantics, and pragmatics in university students' interpretation of multiply quantified statements in mathematics, both before and after instruction. Like previous studies, results show that semantics plays a heavy role in student interpretation, especially before instruction. Unlike previous…

Descriptors: Syntax, Semantics, Pragmatics, College Students

Deeken, Christoph; Neumann, Irene; Heinze, Aiso – International Journal of Research in Undergraduate Mathematics Education, 2020

In many countries STEM degree programs face high dropout rates, which are often attributed to insufficient mathematical preparation of incoming undergraduates. However, it is largely unclear which mathematical prerequisites universities expect from their new STEM undergraduates. There are hardly official documents and it is even an open question…

Descriptors: STEM Education, Undergraduate Students, College Readiness, Mathematics Achievement

Freitag, Mark A. – International Journal of Research in Undergraduate Mathematics Education, 2020

Note-taking is one of the most pervasive activities of students in college courses, so it has been the subject of educational research for quite some time. Yet despite the large body research, little is known about the characteristics of note-taking in mathematics. For this reason, this exploratory study examined the note-taking habits of seven…

Descriptors: Notetaking, College Students, College Mathematics, Calculus

Iannone, Paola; Simpson, Adrian – International Journal of Research in Undergraduate Mathematics Education, 2019

Existing research posits a relationship between undergraduate mathematics students' mathematics-related epistemological beliefs and their perceptions of summative assessment. This paper reports a study investigating whether there is indeed such a relationship. First and second year mathematics undergraduate students at two universities in the UK…

Descriptors: Epistemology, Beliefs, Summative Evaluation, Preferences

Grove, Michael; Croft, Tony – International Journal of Research in Undergraduate Mathematics Education, 2019

The study reported here investigates the role, experiences and aspirations of a community of mathematics postgraduates as they learn to tutor in a mathematics support centre in a research-intensive university. This is achieved through in-depth interviews with nine postgraduate tutors all of whom had experience working in the centre. The data is…

Descriptors: Graduate Students, Tutors, Mathematics Instruction, Peer Teaching

Oehrtman, Michael; Soto-Johnson, Hortensia; Hancock, Brent – International Journal of Research in Undergraduate Mathematics Education, 2019

We engaged five mathematicians who conduct research in the domain of complex analysis or use significant tools from complex analysis in their research in interviews about basic concepts of differentiation and integration of complex functions. We placed a variety of constructivist, social-constructivist, and embodied theories in mathematics…

Descriptors: Mathematical Concepts, Abstract Reasoning, Mathematical Applications, Theories

Melhuish, Kathleen – International Journal of Research in Undergraduate Mathematics Education, 2019

Introductory group theory provides the foundational course on algebraic structures. Yet, we know little about students' underlying conceptual understandings. In this paper, I introduce the Group Theory Concept Assessment (GTCA), a measure created for the purpose of conducting large-scale studies of student conceptual understanding in group theory.…

Descriptors: Algebra, Mathematical Concepts, Mathematical Logic, Knowledge Level

Chorlay, Renaud – International Journal of Research in Undergraduate Mathematics Education, 2019

Over the last forty years of mathematics education research, a coherent body of knowledge has accumulated regarding the teaching of limits. On this basis, it remains a challenge to identify goals and design tasks compatible with ordinary teaching conditions. This paper reports on a teaching experiment carried out in France with year 12 students,…

Descriptors: Definitions, Foreign Countries, Didacticism, Educational Experiments

Dawkins, Paul Christian; Oehrtman, Michael; Mahavier, W. Ted – International Journal of Research in Undergraduate Mathematics Education, 2019

In this paper, we provide an in-depth account of traditional IBL instruction. Understanding the nature and effects of this form of instruction is of growing importance due to the strength and breadth of the IBL movement and its connections to other forms of inquiry in undergraduate mathematics. In this case study of one real analysis course taught…

Descriptors: Active Learning, Inquiry, Student Experience, Undergraduate Students

Deshler, Jessica; Fuller, Edgar; Darrah, Marjorie – International Journal of Research in Undergraduate Mathematics Education, 2019

The identification of factors that impact student success in mathematics courses has been a focus of a great deal of research since the early 2000s. The role of classroom approaches, teacher beliefs, and underlying student backgrounds have been studied in different ways. As a part of this effort researchers have studied the degree to which…

Descriptors: Affective Behavior, College Students, Remedial Mathematics, Self Efficacy

Melhuish, Kathleen; Larsen, Sean; Cook, Samuel – International Journal of Research in Undergraduate Mathematics Education, 2019

Over the years, we have noticed our students constructing proofs that commutativity is preserved by isomorphism that do not explicitly use the fact that the isomorphism is surjective. These proofs are typically valid otherwise. However, such proofs are invalid because they would prove the false claim that commutativity is preserved by any…

Descriptors: Mathematical Logic, Problem Solving, Algebra, Error Patterns

Schüler-Meyer, Alexander – International Journal of Research in Undergraduate Mathematics Education, 2019

In the transition from secondary to tertiary mathematics, students try to participate in tertiary mathematics by replicating familiar school mathematical discourses. The objective of this case study is to investigate the conditions and affordances under which students proceed from familiar school mathematical discourses to new, tertiary discourses…

Descriptors: Learning Processes, Arithmetic, College Mathematics, Secondary School Mathematics