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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

Fukawa-Connelly, Timothy; Mejía-Ramos, Juan Pablo; Wasserman, Nicholas H.; Weber, Keith – International Journal of Research in Undergraduate Mathematics Education, 2020

Most prospective secondary mathematics teachers in the United States complete a course in real analysis, yet view the content as unrelated to their future teaching. We leveraged a theoretically-motivated instructional model to design modules for a real analysis course that could inform secondary teachers' actionable content knowledge and pedagogy.…

Descriptors: Preservice Teachers, Preservice Teacher Education, Mathematics Teachers, Mathematical Concepts

Lockwood, Elise; Purdy, Branwen – International Journal of Research in Undergraduate Mathematics Education, 2020

The multiplication principle (MP) is a fundamental aspect of combinatorial enumeration. In an effort to better understand students' reasoning about the MP, we had two undergraduate students reinvent a statement of the MP in a teaching experiment. In this paper, we adopt an actor-oriented perspective (Lobato, "Educational Researcher,"…

Descriptors: Multiplication, Mathematics Skills, Thinking Skills, Undergraduate Students

Rogers, Kimberly Cervello; Petrulis, Robert; Yee, Sean P.; Deshler, Jessica – International Journal of Research in Undergraduate Mathematics Education, 2020

This paper presents the development and validation of the 17-item mathematics Graduate Student Instructor Observation Protocol (GSIOP) at two universities. The development of this instrument attended to some unique needs of novice undergraduate mathematics instructors while building on an existing instrument that focused on classroom interactions…

Descriptors: Measures (Individuals), Observation, Test Construction, Test Validity

Rodriguez, Jon-Marc G.; Bain, Kinsey; Towns, Marcy H. – International Journal of Research in Undergraduate Mathematics Education, 2020

Mathematics is used in the physical sciences to describe and model phenomena, resulting in a unique interface between mathematics and disciplines such as chemistry and physics. This paper focuses on themes emerging from a larger project that investigated how students understand and use mathematics in chemical kinetics, a field of study concerned…

Descriptors: Epistemology, Educational Games, College Mathematics, Chemistry

Reinholz, Daniel L.; Rasmussen, Chris; Nardi, Elena – International Journal of Research in Undergraduate Mathematics Education, 2020

This research commentary argues for more research that attends to the processes of organizational change in mathematics departments. It outlines both the ways that research on organizational change can benefit scholarship in mathematics departments, and how mathematics education researchers are needed to develop theories of change that are…

Descriptors: Educational Change, College Mathematics, Departments, Educational Research

Mesa, Vilma; Shultz, Mollee; Jackson, Ashley – International Journal of Research in Undergraduate Mathematics Education, 2020

This study describes how nine university professors managed their teaching when a shift from lecturing to inquiry-based learning was mandated in a large enrollment course, linear algebra for math majors. We describe the tensions that emerged and how they were resolved, in part via the production of worksheets that were used in teaching. We…

Descriptors: Lecture Method, College Mathematics, Conflict Resolution, Algebra

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