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Reinholz, Daniel L.; Bradfield, Kenneth; Apkarian, Naneh – International Journal of Research in Undergraduate Mathematics Education, 2019

This paper describes a method for using instructional analytics to support changes in teaching practice. The study took place in a discourse-focused undergraduate mathematics classroom taught by an experienced instructor. Using the classroom observation tool EQUIP and social network surveys, we generated quantitative data on patterns of student…

Descriptors: Educational Change, Teaching Methods, Student Participation, Student Experience

Lahdenperä, Juulia; Postareff, Liisa; Rämö, Johanna – International Journal of Research in Undergraduate Mathematics Education, 2019

Prior research acknowledges the need to further develop undergraduate mathematics instruction. The aim of this study is to investigate the relationship between instructional design and quality of learning. This quantitative study approaches the learning environment by comparing students' approaches to learning, self-efficacy, and experiences of…

Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Instructional Design

Troup, Jonathan – International Journal of Research in Undergraduate Mathematics Education, 2019

In this study, a description is provided for the development of two undergraduate students' geometric reasoning about the derivative of a complex-valued function with the aid of "Geometer's Sketchpad" ("GSP") during an interview sequence designed to help them characterize the derivative geometrically. Specifically, a particular…

Descriptors: Geometric Concepts, Mathematics Instruction, Educational Technology, Technology Uses in Education

Kempen, Leander; Biehler, Rolf – International Journal of Research in Undergraduate Mathematics Education, 2019

At the University of Paderborn, the course "Introduction into the culture of mathematics" is required for all first-year students who enter the study program for future mathematics teachers at lower secondary level (grade 5-10). In this inquiry-based transition-to-proof course, we use four different kinds of proofs (the generic proof…

Descriptors: Foreign Countries, College Freshmen, College Mathematics, Required Courses

Faulkner, Brian; Earl, Katherine; Herman, Geoffrey – International Journal of Research in Undergraduate Mathematics Education, 2019

Facing increased pressure to improve retention and graduation rates, engineering departments are increasingly scrutinizing whether they are getting their desired outcomes from core mathematics coursework. Since mathematics courses are a significant source of attrition and many engineering faculty are unhappy with students' mathematical abilities,…

Descriptors: Engineering Education, Mathematics Education, College Mathematics, College Faculty

Laursen, Sandra L.; Rasmussen, Chris – International Journal of Research in Undergraduate Mathematics Education, 2019

In the United States (US) and elsewhere across the world, undergraduate mathematics instructors are increasingly aware of the value of inquiry-based instruction. In this research commentary, we describe the intellectual origins and development of two major strands of inquiry in US higher education, offer an explanation for apparent differences in…

Descriptors: Active Learning, Inquiry, College Mathematics, Undergraduate Students

Lockwood, Elise; Wasserman, Nicholas H.; McGuffey, William – International Journal of Research in Undergraduate Mathematics Education, 2018

In this paper we report on a survey designed to test whether or not students differentiated between two different types of problems involving combinations--problems in which combinations are used to count unordered sets of distinct objects (a natural, common way to use combinations), and problems in which combinations are used to count ordered…

Descriptors: Undergraduate Students, College Mathematics, Mathematics Instruction, Mathematics Skills

Gueudet, Ghislaine; Pepin, Birgit – International Journal of Research in Undergraduate Mathematics Education, 2018

In this paper we introduce a link between the Theory of Didactical Situations and the Documentational Approach to Didactics, in order to study teaching/learning phenomena at the beginning of university mathematics studies. Specifically, we investigate the didactic contract at three levels: institutional, mathematical subject, and specific…

Descriptors: College Mathematics, Mathematics Instruction, Teaching Methods, Case Studies

Broley, Laura; Caron, France; Saint-Aubin, Yvan – International Journal of Research in Undergraduate Mathematics Education, 2018

In response to a recent Canada-wide survey, where it was found that mathematicians use computer programming much less in their teaching than in their research, an exploratory study involving 14 Canadian mathematicians sought to gain a deeper understanding of the place of programming in both contexts. To capture the differences in the degree of…

Descriptors: Foreign Countries, Professional Personnel, Mathematics, Teaching Methods

Barquero, Berta; Monreal, Nacho; Ruiz-Munzón, Noemí; Serrano, Lídia – International Journal of Research in Undergraduate Mathematics Education, 2018

This paper focuses on how to link and combine activities of posing and answering questions with the ones of studying pre-existing answers at university level. Our research, developed within the framework of the Anthropological Theory of the Didactic, presents the design and use of an instructional device--study and research paths (SRP)--aimed at…

Descriptors: College Mathematics, Interaction, Inquiry, Social Media

Montoya Delgadillo, Elizabeth; Páez Murillo, Rosa; Vandebrouck, Fabrice; Vivier, Laurent – International Journal of Research in Undergraduate Mathematics Education, 2018

The three localization perspectives--punctual, local and global--initially proposed for functions, are used to study the objects of Analysis. We provide two examples of how they can support mathematical work: computing the tangent to a curve and computing the limit of a function.

Descriptors: Mathematics Instruction, Computation, Mathematical Concepts

Kidron, Ivy – International Journal of Research in Undergraduate Mathematics Education, 2018

Research study on students' conceptions of irrational numbers before entering university is of importance in order that the construction of the real number field introduced at the university level will have the desired effect. The aim of the present study is to analyze the way students approach the question of the existence of irrational numbers.…

Descriptors: Mathematical Concepts, Numbers, Grade 10, Grade 11

Bosch, Marianna; Gascón, Josep; Nicolás, Pedro – International Journal of Research in Undergraduate Mathematics Education, 2018

What is questioned and what is taken for granted when carrying out research into the teaching of a given mathematical topic such as Group Theory? This paper presents two different questioning procedures using the methodological tools provided by the Anthropological Theory of the Didactic (ATD). The first one, leading to an undergraduate…

Descriptors: Mathematics Instruction, Mathematics Skills, Models, Group Dynamics

Byrne, Martha; Hanusch, Sarah; Moore, Robert C.; Fukawa-Connelly, Tim – International Journal of Research in Undergraduate Mathematics Education, 2018

Instructors often write feedback on students' proofs even if there is no expectation for the students to revise and resubmit the work. It is not known, however, what students do with that feedback or if they understand the professor's intentions. To this end, we asked eight advanced mathematics undergraduates to respond to professor comments on…

Descriptors: Feedback (Response), Mathematics Instruction, College Mathematics, Undergraduate Students

KarimiFardinpour, Younes; Gooya, Zahra – International Journal of Research in Undergraduate Mathematics Education, 2018

This paper concerns "planes-coordination" and "long-term-prediction" difficulties. These are specifically the case when students attempt to visualize solution curves of autonomous differential equations for predicting the long-term behavior of various initial conditions. To address these issues, a study was conducted in which…

Descriptors: Comparative Analysis, Geometry, Geometric Concepts, Mathematics Instruction